We examined how children’s strategy choices in solving complex subtraction problems are related to grade and to variations in problem complexity. In two studies, third- and fifth-grade children (N≈160 each study) solved multi-digit subtraction problems (e.g., 34 - 18) and described their solution strategies. In the first experiment, strategy selection was investigated by means of a free-choice paradigm, whereas in the second study a discrete-choice approach was implemented. In both experiments, analyses of strategy repertoire indicated that (...) third-grade children were more likely to report less-efficient strategies (i.e., counting) and relied more on the right-to-left solution algorithm compared to fifth-grade children who more often used efficient memory-based retrieval and conceptually-based left-to-right (i.e., decomposition) strategies. Nevertheless, all strategies were reported or selected by both older and younger children and strategy use varied with problem complexity and presentation format for both age groups. These results supported the overlapping waves model of strategy development and provide detailed information about patterns of strategy choice on complex subtraction problems. (shrink)

Many of the errors that occur in children' subtraction are due to the use of incorrect strategies rather than to the incorrect recall of number facts. A production system is presented for performing written subtraction which is consistent with an earlier analysis of the nature of such a cognitive skill. Most of the incorrect strategies used by schoolchildren can be accounted for in a principled way by simple changes in the production system, such as the omission of individual (...) rules or the inclusion of rules appropriate to other arithmetical tasks. The production system model is evaluated against a corpus of over 1500 subtraction problems done by 10‐year olds and is shown to account for about two‐thirds of the (nonnumber fact) errors. It also provides an alternative, simpler interpretation of the subtraction errors analysed by Brown and Burton (1978). Some implications for teaching are discussed. (shrink)

The subtraction argument aims to show that there is an empty world, in the sense of a possible world with no concrete objects. The argument has been endorsed by several philosophers. I show that there are currently two versions of the argument around, and that only one of them is valid. I then sketch the main problem for the valid version of the argument.

The subtraction argument aims to show that there is an empty world, in the sense of a possible world with no concrete objects. The argument has been endorsed by several philosophers. I show that there are currently two versions of the argument around, and that only one of them is valid. I then sketch the main problem for the valid version of the argument.

Van Orden and Paap argue that subtractive functional neuroimaging is fundamentally flawed, unfalsifiable, and cannot bear upon the nature of mind. In this they are mistaken, although their criticisms interestingly illuminate the scientific problems we confront in investigating the material basis of mind. Here, I consider the criticisms of Van Orden and Paap and discuss where they are mistaken and where justified. I then consider the picture of imaging science that Van Orden and Paap seem to espouse and sketch (...) an alternative picture that is more realistic, more interesting, and consistent with the deliverances and the weaknesses of neuroimaging techniques. Finally, I identify three assumptions that I do think neuroimaging is wedded to and briefly discuss their implications. (shrink)

We propose a critique ofnormativism, defined as the idea that human thinking reflects a normative system against which it should be measured and judged. We analyze the methodological problems associated with normativism, proposing that it invites the controversial “is-ought” inference, much contested in the philosophical literature. This problem is triggered when there are competing normative accounts (the arbitration problem), as empirical evidence can help arbitrate between descriptive theories, but not between normative systems. Drawing on linguistics as a model, we (...) propose that a clear distinction between normative systems and competence theories is essential, arguing that equating them invites an “is-ought” inference: to wit, supporting normative “ought” theories with empirical “is” evidence. We analyze in detail two research programmes with normativist features – Oaksford and Chater's rational analysis and Stanovich and West's individual differences approach – demonstrating how, in each case, equating norm and competence leads to an is-ought inference. Normativism triggers a host of research biases in the psychology of reasoning and decision making: focusing on untrained participants and novel problems, analyzing psychological processes in terms of their normative correlates, and neglecting philosophically significant paradigms when they do not supply clear standards for normative judgement. For example, in a dual-process framework, normativism can lead to a fallacious “ought-is” inference, in which normative responses are taken as diagnostic of analytic reasoning. We propose that little can be gained from normativism that cannot be achieved by descriptivist computational-level analysis, illustrating our position with Hypothetical Thinking Theory and the theory of the suppositional conditional. We conclude that descriptivism is a viable option, and that theories of higher mental processing would be better off freed from normative considerations. (shrink)

We propose a critique of normativism, defined as the idea that human thinking reflects a normative system against which it should be measured and judged. We analyze the methodological problems associated with normativism, proposing that it invites the controversial “is-ought” inference, much contested in the philosophical literature. This problem is triggered when there are competing normative accounts (the arbitration problem), as empirical evidence can help arbitrate between descriptive theories, but not between normative systems. Drawing on linguistics as a model, (...) we propose that a clear distinction between normative systems and competence theories is essential, arguing that equating them invites an “is-ought” inference: to wit, supporting normative “ought” theories with empirical “is” evidence. We analyze in detail two research programmes with normativist features – Oaksford and Chater’s rational analysis and Stanovich and West’s individual differences approach – demonstrating how, in each case, equating norm and competence leads to an is-ought inference. Normativism triggers a host of research biases in the psychology of reasoning and decision making: focusing on untrained participants and novel problems, analyzing psychological processes in terms of their normative correlates, and neglecting philosophically significant paradigms when they do not supply clear standards for normative judgement. For example, in a dual-process framework, normativism can lead to a fallacious “ought-is” inference, in which normative responses are taken as diagnostic of analytic reasoning. We propose that little can be gained from normativism that cannot be achieved by descriptivist computational-level analysis, illustrating our position with Hypothetical Thinking Theory and the theory of the suppositional conditional. We conclude that descriptivism is a viable option, and that theories of higher mental processing would be better off freed from normative considerations. (shrink)

Can we experience emotion without the feeling of accelerated heartbeats, perspiration, or other changes in the body? In his paper “What is an emotion”, William James famously claimed that “if we fancy some strong emotion and then try to abstract from our consciousness of it all the feelings of its bodily symptoms, we find we have nothing left behind” (1884, p. 193). Thus, bodily changes are essential to emotion. This is known as the Subtraction Argument. The Subtraction Argument (...) is still used to support Embodied theories of emotion. Proponents of Disembodied theories, however, have different intuitions regarding the role of bodily changes in the experience of emotion. In order to advance this debate, I conducted a series of studies testing people’s intuitions regarding the Subtraction Argument. Results show that, against James’ claims, most people consider that their hypothetical (Study 1) and actual (Study 2) emotions persist in the absence of bodily feelings. Furthermore, Study 1 found that participants’ responses were not related to individual differences in reflection or interoceptive awareness. These results pose a problem for Embodied theories of emotion and challenge extant explanations for the persistence of emotional experience in cases of impaired interoception. (shrink)

The article develops the idea of forming postcapitalist social relations as a social revolution of an individual, which consists in the fact that popularity becomes a key advantage, the “possession” of which is a desired goal and a significant resource of political influence. At the same time, it is shown that this process leads to forming a new dominant stratum — personalities (“people with personality”): celebrities, popular bloggers, social media influencers, micro- and nanosignature. It is substantiated that the personaliat domination (...) is a consequence of contradictory social relations between the new aristocracy represented by the representatives of the personaliat and many people who do not “possess” a popular personality - the impersonaliat (“extra people”, “lower” precariat, those who turn out to be outsiders in the world of social platforms). This contradiction is associated with the rooting of a celebrity’s culture, which encourages a lot of people to fight for popularity and focus on finding advantageous differences from others in the process of self-realization. However, this struggle in the end for the overwhelming majority turns into an increase in creative competition and subtraction. Various new forms of subtraction that appear in situations of widespread self-realization are revealed. Accordingly, arguments are given in favor of the fact that in the context of the “personality revolution”, the truly left will be rather an alternative that will call into question the ways of solving social problems formulated by popular personalities. In other words, it will be possible to oppose the total pursuit of popularity with the projects of society, in which the person is relied not as someone who rises above the others, but as an involved person who values life in harmony with others higher than his own “I”. (shrink)

The notion of epistemic coherence is interpreted as involving not only consistency but also stability. The problem how to consolidate a belief system, i.e., revise it so that it becomes coherent, is studied axiomatically as well as in terms of set-theoretical constructions. Representation theorems are given for subtractive consolidation (where coherence is obtained by deleting beliefs) and additive consolidation (where coherence is obtained by adding beliefs).

The emergence of implantable drug delivery systems will allow us to produce the effects of psychosurgery and surgical sterilization without their irreversible invasions of bodily integrity. However, this clinical advantage does not resolve the most important ethical problems these surgeries face, and may even obscure them when they arise in the practice of drug implantation.

The article critically engages with Giorgio Agamben’s reading of Rousseau in order to explore the affinities between the two authors’ subtractive approach to political subjectivation. In The Kingdom and the Glory. Agamben argues that Rousseau’s Social Contract reproduces, in a secularized manner, the providential paradigm of government, whose origins Agamben finds in early Christianity. This paradigm establishes a fictitious articulation between transcendent sovereignty and immanent government, presenting particular acts of government as emanating from general divine laws. We shall demonstrate that (...) Rousseau was neither unaware of the problematic character of this paradigm nor did he venture to conceal its problems, but, on the contrary, he highlighted them throughout the Social Contract, whose key motif was the danger of the contamination of general will by particular acts, identities or interests. The same wariness of particularism characterizes Rousseau’s Reveries of the Solitary Walker, often read as entirely heterogeneous to the political project of the Social Contract. By reading these two works together as the affirmation of generic existence against all forms of particularism, we bring Rousseau’s analysis closer to Agamben’s own attempts to rethink politics as subtracted from all identity predicates and contained in the affirmation of ‘whatever being’. The elucidation of affinities between Rousseau and Agamben will permit us to identify the limits of this subtractive approach to politics and outline an alternative to it. (shrink)

In learning mathematics, children must master fundamental logical relationships, including the inverse relationship between addition and subtraction. At the start of elementary school, children lack generalized understanding of this relationship in the context of exact arithmetic problems: they fail to judge, for example, that 12 + 9 - 9 yields 12. Here, we investigate whether preschool children’s approximate number knowledge nevertheless supports understanding of this relationship. Five-year-old children were more accurate on approximate large-number arithmetic problems that involved (...) an inverse transformation than those that did not, when problems were presented in either non-symbolic or symbolic form. In contrast they showed no advantage for problems involving an inverse transformation when exact arithmetic was involved. Prior to formal schooling, children therefore show generalized understanding of at least one logical principle of arithmetic. The teaching of mathematics may be enhanced by building on this understanding. (shrink)

Deleuze and Whitehead are both centrally concerned with the problem of how to reconcile the emergence of the New with the evident continuity and uniformity of the world through time. They resolve this problem through the logic of what Deleuze calls ‘double causality’, and Whitehead the difference between efficient and final causes. For both thinkers, linear cause-and-effect coexists with a vital capacity for desire and decision, guaranteeing that the future is not just a function of the past. The role of (...) desire and decision can be seen in recent developments in biology. (shrink)

Normative theories can be useful in developing descriptive theories, as when normative subjective expected utility theory is used to develop descriptive rational choice theory and behavioral game theory. “Ought” questions are also the essence of theories of moral reasoning, a domain of higher mental processing that could not survive without normative considerations.

According to one popular criterion of property identity, where X and Y are properties, X is identical with Y if and only if X and Y bestow the same conditional powers on their bearers. In this paper, I argue that this causal criterion of property identity is unsatisfactory, because it fails to provide a sufficient condition for the identification of properties. My argument for this claim is based on the observation that the summing of properties does not entail the summing (...) of the conditional powers that they bestow on an object, but, rather, in some cases their subtraction. If so, the following causal structure seems possible: There are two properties, A and B. Each bestows a different set of conditional powers on its bearer, but the conjunctive property A-and-B bestows exactly the same set of conditional powers as either A or B. If this causal structure is possible, then it creates a serious problem for the causal criterion of property identity. (shrink)

Properties come in clusters. It seems impossible, for instance, that a mass could float free, unattached to any other property. David Armstrong takes this as a reductio of the bundle theory and an argument for substrata, while Peter Simons and Arda Denkel reply by supplementing the bundle theory with accounts of property interdependencies. I argue against both views. Virtually all plausible ontologies turn out to be committed to the existence of free masses. I develop and defend the view that the (...) clustering of properties is a mere contingent truth, on grounds that properties can be subtracted one‐by‐one. This opens the door not just to the (unsupplemented) bundle theory, but also to any plausible account of the relation between objects and properties. (shrink)

In the present research, the authors hypothesized that additive counterfactual thinking mind-sets, activated by adding new antecedent elements to reconstruct reality, promote an expansive processing style that broadens conceptual attention and facilitates performance on creative generation tasks, whereas subtractive counterfactual thinking mind-sets, activated by removing antecedent elements to reconstruct reality, promote a relational processing style that enhances tendencies to consider relationships and associations and facilitates performance on analytical problem-solving tasks. A reanalysis of a published data set suggested that the counterfactual (...) mind-set primes previously used in the literature tend to evoke subtractive counterfactuals. Studies 1 and 2 then demonstrated that subtractive counterfactual mind-sets enhanced performance on analytical problem-solving tasks relative to additive counterfactual mind-sets, whereas Studies 3 and 4 found that additive counterfactual mind-sets enhanced performance on creative generation tasks relative to subtractive counterfactual mind-sets. (shrink)

The practice of mathematical word problem is ubiquitous and thought to impact academic achievement. However, the underlying neural mechanisms are still poorly understood. In this study, we investigate how lexical consistency of word problem description is modulated in adults' brain responses during word problem solution. Using functional magnetic resonance imaging methods, we examined compare word problems that included relational statements, such as “A dumpling costs 9 dollars. A wonton is 2 dollars less than a dumpling. How much does a (...) wonton cost?” and manipulated lexical consistency and problem operation. We found a consistency by operation interaction in the widespread fronto-insular-parietal activations, including the anterior insula, dorsoanterior cingulate cortex, middle frontal gyrus, and intraparietal sulcus, such that inconsistent problems engaged stronger activations than consistent problems for addition, whereas the consistency effect was inverse for subtraction. Critically, these results were more salient in the less successful problem solvers than their more successful peers. Our study is the first to demonstrate that lexical consistency effects on arithmetic neural networks are modulated during reading word problem that required distinct arithmetic operations. More broadly, our study has strong potentials to add linkage between neuroscience and education by remediating deficits and enhance instruction design in the school curriculum. (shrink)

This paper explores the plausibility of Alain Badiou's ahistorical theory of politics. By insisting that the events of egalitarian politics are radically subtracted from social and historical conditions Badiou imagines a form of political action that effectively comes out of nothing. However, in order to establish the very prospect of an event's occurrence Badiou is forced to ground the possibility of political intervention in his theory of "evental recurrence", which effectively enables the subjects of political action to draw on the (...) consequences of a preceding event in order to act in the here and now. The paper argues that by introducing the social dimensions of evental recurrence it is possible to construct an alternative account of political action that resolves a number of inconsistencies in Badiou's otherwise miraculous vision of politics. Consequently, rather than a militant activist that comes out of nowhere, evental recurrence implies that the militants of political action are saturated in their immediate social and political circumstances and in the memory of past struggles. (shrink)

Preadolescence is an important period for the consolidation of certain arithmetic facts, and the development of problem-solving strategies. Obese subjects seem to have poorer academic performance in math than their normal-weight peers, suggesting a negative effect of obesity on math skills in critical developmental periods. To test this hypothesis, event-related potentials were collected during a delayed-verification math task using simple addition and subtraction problems in obese [above 95th body mass index percentile] and non-obese preteens with different levels of (...) math skill; thirty-one with low math skills and thirty-one with high math skills. No significant differences between weight groups were observed in task accuracy regardless of their mathematical skill level. For ERPs, electrophysiological differences were found only in the subtraction condition; participants with obesity showed an electrophysiologic pattern associated with a reduced ability to allocate attention resources regardless of their math skill level, these differences were characterized by longer P300 latency than their normal-weight peers. Moreover, the participants with obesity with high math skills displayed hypoactivity in left superior parietal lobule compared with their normal-weight peers. Additionally, obese preteens with low math skills displayed smaller arithmetic N400 amplitude than non-obese participants, reflecting difficulties in retrieving visual, semantic, and lexical information about numbers. We conclude that participants with obesity are less able than their normal-weight peers to deploy their attention regardless of their behavioral performance, which seems to have a greater effect on obese participants with low math skills because they also show problems in the retrieval of solutions from working memory, resulting in a delay in the development of mathematical skills. (shrink)

Several researchers have indicated that to pose arithmetical word problems is an important way to learn arithmetic. However, learning by problem posing is not popular in the lecture of classroom because it is hard for a teacher to do it. For example, even to judge whether each problem is correct or not, a teacher has to examine each problem. In this paper, we describe an Intelligent Learning Environment which realizes the learning by problem posing. In the learning by problem (...) posing, a learner poses problems through the interface provided by the ILE. The ILE has a function to diagnose the problems posed by the learner. By using the results of the diagnosis, the ILE helps the learner to correct wrong problems, or leads her/him in the next step of problem posing. We evaluated the ILE in an elementary school. The subjects were 4th grade students. We also report the results of the evaluation. In the ILE, the interface was implemented in Java, and the diagnosis module was implemented in Prolog. So it can be used on World Wide Web. The current environment deals with simple arithmetical word problems solved by an addition or a subtraction. (shrink)

Major problems in cancer chemotherapy are toxicity, resistance, and cancer heterogeneity. A new theranostic paradigm has been proposed by the authors. Many million small molecules (SM) are bound to the proteins extracted from a patient's cancer. SM that also bind proteins extracted from normal human tissues are subtracted from the cancer protein bound SM leaving a large array of SM targeting many sites on each of the cancer biomarkers. Targeting many more than the conventional 1 – 4 cancer biomarkers (...) will reduce development of tumor resistance. After several cycles of selection and counter selection, DNA codes appended to the SM will be PCR amplified to provide templates for restricted libraries of the SM to improve selectivity and sensitivity. The large array of selected and counter selected SM assures that many of the compounds in the array will penetrate the cell membrane and bind to intracellular targets, low tumor resistance, low background for imaging, low therapeutic toxicity, and targeting of the diverse biomarkers present in the heterogeneous mixture of cells in primary and metastatic cancer. Theranostic use of radiolabeled SM binding many sites on many, not necessarily critical, biomarkers provides high cancer cell killing. Experiments to provide proof of principle of this novel concept suggested by the authors. -/- . (shrink)

Subtractive schooling is a type of pedagogy that subtracts from the student aspects of her identity in order to assimilate and reshape her identity to fit the American mainstream. Here, I question the value of assimilation as it takes place in our public school systems. Currently, immigrant children are often made to feel inadequate for being culturally different. This is detrimental to their development as students given that at their young age they do not yet have the emotional maturity to (...) know that their experience, language and culture are legitimate and valuable. My goal is to shift the focus of subtractive schooling to one that fosters the growth of students through recognition. I suggest that John Dewey’s and Paulo Freire’s pedagogy of recognition is a helpful approach to this problem. Both Dewey and Freire’s pedagogy emphasize recognition as central to their pedagogy. (shrink)

Solving the 4-d Einstein equations as evolution in time requires solving equations of two types: the four elliptic initial data (constraint) equations, followed by the six second-order evolution equations. Analytically the constraint equations remain solved under the action of the evolution, and one approach is to simply monitor them (unconstrained evolution). The problem of the 3-d computational simulation of even a single isolated vacuum black hole has proven to be remarkably difficult. Recently, we have become aware of two publications that (...) describe very long term evolution, at least for single isolated black holes. An essential feature in each of these results is constraint subtraction. Additionally, each of these approaches is based on what we call “modern,” hyperbolic formulations of the Einstein equations. It is generally assumed, based on computational experience, that the use of such modern formulations is essential for long-term black hole stability. We report here on comparable lifetime results based on the much simpler (“traditional”) ${\dot g} - {\dot K}$ formulation. With specific subtraction of constraints, with a simple analytic gauge, with very simple boundary conditions, and for moderately large domains with moderately fine resolution, we find computational evolutions of isolated non-spinning black holes for times exceeding 1000 GM/c2. We have also carried out a series of constrained 3-d evolutions of single isolated black holes. We find that constraint solution can produce substantially stabilized long-term single hole evolutions. However, we have found that for large domains, neither constraint-subtracted nor constrained ${\dot g} - {\dot K}$ evolutions carried out in Cartesian coordinates admit arbitrarily long-lived simulations. The failure appears to arise from features at the inner excision boundary; the behavior does generally improve with resolution. (shrink)

Previous work has investigated adults' knowledge of principles for arithmetic with positive numbers (Dixon, Deets, & Bangert, 2001). The current study extends this past work to address adults' knowledge of principles of arithmetic with a negative number, and also investigates links between knowledge of principles and problem representation. Participants (N = 44) completed two tasks. In the Evaluation task, participants rated how well sets of equations were solved. Some sets violated principles of arithmetic and others did not. Participants rated non‐violation (...) sets higher than violation sets for two different principles for subtraction with a negative number. In the Word Problem task, participants read word problems and set up equations that could be used to solve them. Participants who displayed greater knowledge of principles of arithmetic with a negative number were more likely to set up equations that involved negative numbers. Thus, participants' knowledge of arithmetic principles was related to their problem representations. (shrink)

Symbolic arithmetic is fundamental to science, technology and economics, but its acquisition by children typically requires years of effort, instruction and drill1,2. When adults perform mental arithmetic, they activate nonsymbolic, approximate number representations3,4, and their performance suffers if this nonsymbolic system is impaired5. Nonsymbolic number representations also allow adults, children, and even infants to add or subtract pairs of dot arrays and to compare the resulting sum or difference to a third array, provided that only approximate accuracy is required6–10. Here (...) we report that young children, who have mastered verbal counting and are on the threshold of arithmetic instruction, can build on their nonsymbolic number system to perform symbolic addition and subtraction11–15. Children across a broad socio-economic spectrum solved symbolic problems involving approximate addition or subtraction of large numbers, both in a laboratory test and in a school setting. Aspects of symbolic arithmetic therefore lie within the reach of children who have learned no algorithms for manipulating numerical symbols. Our findings help to delimit the sources of children’s difficulties learning symbolic arithmetic, and they suggest ways to enhance children’s engagement with formal mathematics. We presented children with approximate symbolic arithmetic problems in a format that parallels previous tests of non-symbolic arithmetic in preschool children8,9. In the first experiment, five- to six-year-old children were given problems such as ‘‘If you had twenty-four stickers and I gave you twenty-seven more, would you have more or less than thirty-five stickers?’’. Children performed well above chance (65.0%, t1952.77, P 5 0.012) without resorting to guessing or comparison strategies that could serve as alternatives to arithmetic. Children who have been taught no symbolic arithmetic therefore have some ability to perform symbolic addition problems. The children’s performance nevertheless fell short of performance on non-symbolic arithmetic tasks using equivalent addition problems with numbers presented as arrays of dots and with the addition operation conveyed by successive motions of the dots into a box (71.3% correct, F1,345 4.26, P 5 0.047)8.. (shrink)

The thesis of this article is that there has never been any ground for the controversy between the doctrine of free will and determinism, that it is based upon a misapprehension, that the two assertions are entirely consistent, that one of them strictly implies the other, that they have been opposed only because of our natural want of the analytical imagination. In so saying I do not tamper with the meaning of either phrase. That would be unpardonable. I mean free (...) will in the natural and usual sense, in the fullest, the most absolute sense in which for the purposes of the personal and moral life the term is ever employed. I mean it as implying responsibility, merit and demerit, guilt and desert. I mean it as implying, after an act has been performed, that one " could have done otherwise " than one did. I mean it as conveying these things also, not in any subtly modified sense but in exactly the sense in which we conceive them in life and in law and in ethics. These two doctrines have been opposed because we have not realised that free will can be analysed without being destroyed, and that determinism is merely a feature of the analysis of it. And if we are tempted to take refuge in the thought of an "ultimate ", an "innermost" liberty that eludes the analysis, then we have implied a deterministic basis and constitution for this liberty as well. For such a basis and constitution lie in the idea of liberty. -/- The thesis is not, like that of Green or Bradley, that the contending opinions are reconciled if we adopt a certain metaphysic of the ego, as that it is timeless, and identifies itself with a desire by a " timeless act". This is to say that the two are irreconcilable, as they are popularly supposed to be, except by a theory that delivers us from the conflict by taking us out of time. Our view on the contrary is that from the natural and temporal point of view itself there never was any need of a reconciliation but only of a comprehension of the meaning of terms. (The metaphysical nature of the self and its identity through time is a problem for all who confront memory, anticipation, etc.; it has no peculiar difficulties arising from the present problem.) -/- I am not maintaining that determinism is true; only that it is true insofar as we have free will. That we are free in willing is, broadly speaking, a fact of experience. That broad fact is more assured than any philosophical analysis. It is therefore surer than the deterministic analysis of it, entirely adequate as that in the end appears to be. But it is not here affirmed that there are no small exceptions, no slight undetermined swervings, no ingredient of absolute chance. All that is here said is that such absence of determination, if and so far as it exists, is no gain to freedom, but sheer loss of it; no advantage to the moral life, but blank subtraction from it. -- When I speak below of "the indeterminist" I mean the libertarian indeterminist, that is, him who believes in free will and holds that it involves indetermination. (shrink)

Recent extensions of mechanistic explanation into psychology suggest that cognitive models are only explanatory insofar as they map neatly onto, and serve as scaffolding for more detailed neural models. Filling in those neural details is what these accounts take the integration of cognitive psychology and neuroscience to mean, and they take this process to be seamless. Critics of this view have given up on cognitive models possibly explaining mechanistically in the course of arguing for cognitive models having explanatory value independent (...) of how well they align with neural mechanisms. We can have things both ways, however. The problem with seamless integration accounts is their seamlessness, not that they take cognitive models to be mechanistic. A non-componential view of mechanisms allows for cognitive and neural models that cross cut one another, and for cognitive models that don’t decompose into parts. I illustrate the inadequacy of seamless accounts of integration by contrasting how “filter” models of attention in psychology and of sodium channels in neuroscience developed; by questioning whether the mappings generated by neuroimaging subtraction studies achieve integration; and by reinterpreting the evidence for cognitive models of memory having been successfully integrated with neural models. I argue that the integrations we can realistically expect are more partial, patchy, and full of loose threads than the mosaic unity Craver describes. (shrink)

We identify two aspects of the problem of maintaining perceptual stability despite an observer's eye movements. The first, visual direction constancy, is the (egocentric) stability of apparent positions of objects in the visual world relative to the perceiver. The second, visual position constancy, is the (exocentric) stability of positions of objects relative to each other. We analyze the constancy of visual direction despite saccadic eye movements.Three information sources have been proposed to enable the visual system to achieve stability: the structure (...) of the visual field, proprioceptive inflow, and a copy of neural efference or outflow to the extraocular muscles. None of these sources by itself provides adequate information to achieve visual direction constancy; present evidence indicates that all three are used.Our final question concerns how information processing operations result in a stable world. The three traditionally suggested means have been elimination, translation, or evaluation. All are rejected. From a review of the physiological and psychological evidence we conclude that no subtraction, compensation, or evaluation need take place. The problem for which these solutions were developed turns out to be a false one. We propose a “calibration” solution: correct spatiotopic positions are calculated anew for each fixation. Inflow, outflow, and retinal sources are used in this calculation: saccadic suppression of displacement bridges the errors between these sources and the actual extent of movement. (shrink)

Mark Colyvan (2010) raises two problems for ‘easy road’ nominalism about mathematical objects. The first is that a theory’s mathematical commitments may run too deep to permit the extraction of nominalistic content. Taking the math out is, or could be, like taking the hobbits out of Lord of the Rings. I agree with the ‘could be’, but not (or not yet) the ‘is’. A notion of logical subtraction is developed that supports the possibility, questioned by Colyvan, of bracketing (...) a theory’s mathematical aspects to obtain, as remainder, what it says ‘mathematics aside’. The other problem concerns explanation. Several grades of mathematical involvement in physical explanation are distinguished, by analogy with Quine’s three grades of modal involvement. The first two grades plausibly obtain, but they do not require mathematical objects. The third grade is likelier to require mathematical objects. But it is not clear from Colyvan’s example that the third grade really obtains. (shrink)

Darwin's theory of evolution brought to an end the static view of nature. It was no longer possible to think of species as immortal, with secure places in nature. Fluctuation of population could no longer be thought of as occurring within definite limits which had been set at the time of creation. Nor was it any longer possible to generalize from the differential reproductive potentials, or from a few cases of mutualism between species, that everything in nature was “fitted to (...) produce general ends, and reciprocal uses.” 134 The appeal to “design” could no longer be substituted for answers to questions concerning animal demography. Instead, the dynamics of a population had to be viewed as the outcome of species' struggle against animate and inanimate factors in the environment. Both the members of a species and the environmental factors tend to vary randomly, and therefore neither evolution nor population dynamics could be fully understood alone. For this reason Darwin's linking of the two subjects was inevitable and not merely an historical accident. Since Darwin had shown that no automatic equilibrium existed, he demonstrated the importance of closer study of the causes of population dynamics and extinction. He also indicated that an understanding of population depends upon the development of a broad knowledge in ecology.Viewed from another direction, Darwin's work ended the early modern era of population studies by clarifying three interrelated problems which were important for understanding population: extinction, distribution, and the nature of species. The components of his answer had been discussed in the eighteenth century, but there had not existed enough evidence for the completion of the revolution in thought which had then begun. At the beginning of the nineteenth century, Playfair found the evidence for extinction conclusive, and, in spite of Lamarck, Curvier convinced the scientific world that there could no longer be any doubt about it. This was a step the importance of which, with his limited knowledge of biogeography and population, Cuvier could not have fully realized. Lamarck attempted, with his evolutionary theory, to circumvent the necessity for admitting extinction, but he overestimated the adaptability of organisms and in doing so he underestimated the importance of competition and the whole field of ecology. On the other hand, he was not willing to let questions such as the origin of species remain taboo to science. The origin of species was a biogeographical as well as a paleontological question. Humboldt correlated environment with the distribution of species and conveyed the impression that plant communities are subject to change. De Candolle, following the lead of Linnaeus and Humboldt, emphasized the ecological aspects of biogeography, not only the importance of habitat and range, clearly showing the ecological effects of competition. The entomologists Kirby and Spence took a faltering step toward understanding the relationship between population and ecological role, but they fell short of any significant new conclusions. Neither they nor Swainson could fully comprehend the new perspective of De Candolle.Lyell was able to bring together the evidence from these three lines of investigation and weave them into an important synthesis that almost accomplished that Darwin later did. Although opposing Lamarck's theory of evolution, Lyell had a dynamic view of ecology. He realized that population dynamics offered an important key to the understanding of biogeography. Since he knew that species become extinct, he investigated closely the factors which could either preserve or extinguish species. While explaining these factors, he described the interrelationships of species in greater detail than had ever been done before. Forbes continued to develop Lyell's ecological concepts, and his first-hand field experience enabled him to describe biotic communities more concretely than Lyell had.Having the advantages of Lyell's understanding and his own experience from a global voyage, Darwin could take the final step from the static to the dynamic concept of life. He had seen populations fluctuating and also fossil species in South America, and on the Galapagos Islands he had encountered a biogeographical problem that could not be credibly solved without the idea of evolution. However, the bare idea of evolution did not fully answer his questions. He sought physiological causes of extinction before he read Malthus and realized that De Candolle and Lyell had correctly emphasized the importance of competition. Darwin found that, in order to understand evolution, he needed to improve his understanding of ecology. He wanted to know when populations were most easily decimated, how extensive were competition and cooperation, what effects parasites have upon populations, and what changes occur in biotic communities when a species is either added or subtracted. He contributed to some extent to answering these questions. Though there remained much for others to do, there was now a new and more secure theoretical framework within which later studies could be interpreted. As Ernst Mayr has observed, Darwin's “consistent thinking in terms of population has had an impact on biological theory and practice which is second only to his sponsorship of natural selection as the mechanism of evolution.” 135. (shrink)

I argue that we cannot adequately characterize idealization and abstraction and the distinction between the two on the grounds that they have distinct semantic properties. By doing so, on the one hand, we focus on the conceptual products of the two processes in making the distinction and we overlook the importance of the nature of the thought processes that underlie model-simplifying assumptions. On the other hand, we implicitly rely on a sense of abstraction as subtraction, which is unsuitable for (...) explicating scientific model construction. Instead, I argue that a sense of abstraction as extraction is more suitable. Finally, I suggest a different way to distinguish the two processes that avoids these problems. Namely, that both idealization and abstraction could be understood as particular modes of application of the same cognitive process: selective attention. (shrink)

Mental arithmetic is characterised by a tendency to overestimate addition and to underestimate subtraction results: the operational momentum effect. Here, motivated by contentious explanations of this effect, we developed and tested an arithmetic heuristics and biases model that predicts reverse OM due to cognitive anchoring effects. Participants produced bi-directional lines with lengths corresponding to the results of arithmetic problems. In two experiments, we found regular OM with zero problems but reverse OM with non-zero problems. In a (...) third experiment, we tested the prediction of our model. Our results suggest the presence of at least three competing biases in mental arithmetic: a more-or-less heuristic, a sign-space association and an anchoring bias. We conclude that mental arithmetic exhibits shortcuts for decision-making similar to traditional domains of reasoning and problem-solving. (shrink)

Philosophical attention to animals can be found in a wide range of texts throughout the history of philosophy, including discussions of animal classification in Aristotle and Ibn Bâjja, of animal rationality in Porphyry, Chrysippus, Aquinas and Kant, of mental continuity and the nature of the mental in Dharmakīrti, Telesio, Conway, Descartes, Cavendish, and Voltaire, of animal self-consciousness in Ibn Sina, of understanding what others think and feel in Zhuangzi, of animal emotion in Śāntarakṣita and Bentham, and of human cultural uniqueness (...) in Xunzi. In recent years, there has been increased attention to animal minds in philosophical discussions across many areas of metaphysics, epistemology, and value theory. Given that nonhuman animals share some biological and psychological features with humans, and that we share community, land, and other resources, consideration of nonhuman animals has much to contribute to our philosophical activities. -/- Contemporary philosophy of animal minds often also engages with the sciences of animal cognition and behavior. The science of comparative cognition is a thriving area of research, complementing the philosophical study in two ways. For one, philosophers of animal cognition can use claims resulting from animal cognition studies as premises in philosophical discussions. For example, Jacob Beck (2012) relies on pigeons’ abilities to compare quantities to argue for nonconceptual content; Sidney Carls-Diamante (forthcoming) appeals to octopus behavior and physiology to defend embodied cognition; Richard Moore (2016a) refers to ape gestural communication to rethink the requirements for intentional communication; Andrew Barron and Colin Klein (2016) appeal to insect cognition research to defend new theories of consciousness; Sarah Vincent, Rebecca Ring, and Kristin Andrews (2019) cite dolphins’ social practices to argue for the existence of norms that do not require metacognition. -/- In addition, philosophers of animal cognition can examine the epistemology and methods used to justify the claims that arise from the science. Research into animal cognition has resulted in surprising claims about animal capacities, such as sociality in garter snakes (Skinner & Miller 2020), tool-use in ants (Maák et al. 2017), mirror self-recognition in fish (Kohda et al. 2019), empathy in rats (Bartal et al. 2011), social learning in fruit flies (Danchin et al. 2018), episodic memory in dogs (Fugazza et al. 2020), addition and subtraction in bees (Howard et al. 2019). How should we evaluate such claims? -/- Some philosophers have argued that animal cognition research is held to a higher standard than human cognition research, and that scientists working with animals are sometimes asked to solve skeptical problems (Halina 2015). Others have challenged scientific assumptions about the relationship between brain size and intelligence, as well as biases against invertebrates (Mikhalevich & Powell 2020). -/- Animal cognition research challenges philosophers to consider that many capacities and behaviors often assumed to require language, sophisticated technological capacities, or legal systems may in fact be had by other animals who lack these properties. In this way, animal cognition research often surprises us by showing that sophisticated-looking activity can be caused through rather simple mechanisms. -/- 1. What is Animal Cognition? 2. Philosophical Assumptions in the Study of Animal Cognition 2.1 Theory-ladenness 2.2 Value-ladenness 2.3 Objectivity 2.4 Simplicity 2.5 Summary 3. Animal Cognition Applied to Philosophy 3.1 The problem of other minds 3.2 The mind-body problem 3.3 Consciousness 3.4 Thought 3.5 Communication 3.6 Social understanding 3.7 The influence of animal cognition on value theory 3.7.1 Ethics 3.7.2 Political theory 3.8 Summary Bibliography Academic Tools Other Internet Resources Related Entries. (shrink)

Life and the living (on Aristotelian biohorror) -- Supernatural horror as the paradigm for life -- Aristotle's De anima and the problem of life -- The ontology of life -- The entelechy of the weird -- Superlative life -- Life with or without limits -- Life as time in Plotinus -- On the superlative -- Superlative life I: Pseudo-Dionysius -- Negative vs. affirmative theology -- Superlative negation -- Negation and preexistent life -- Excess, evil, and non-being -- Superlative life II: (...) Eriugena -- Negation in the periphyseon -- The quaestio de nihilo: on nothing -- The quaestio de nihilo: superlative nothing -- Dark intelligible abyss -- Apophasis -- The apophatic logic -- Negation in Frege and Ayer -- Negation vs. subtraction in Badiou -- Negation and contradiction in Priest -- The dialetheic vitalism of negative theology -- Ellipses: Suhraward and the luminous void -- Univocal creatures -- On spiritual creatures -- Life as form in Aristotle -- The concept of the creature -- Univocity I: Duns Scotus vs. Aquinas -- Univocity in Aquinas' Summa theologica -- Univocity in Duns Scotus' Opus oxoniense -- The common nature of the creature -- Univocity II: Duns Scotus vs. Henry of Ghent -- Univocity in Henry of Ghent -- Negative vs. privative indetermination -- Absolute indetermination -- Univocity III: Deleuze's scholasticism three variations -- Spinoza et le problème de l'expression -- Différence et répétition -- Cours de Vincennes -- Univocal creatures -- Ellipses: Dgen and uncreated univocity -- Dark pantheism -- Everything and nothing -- Life as spirit in Aquinas -- The concept of the divine nature -- Immanence I: Eriugena's periphyseon -- Natura and the unthought -- Universal life -- Four statements on pantheism -- Immanence II: Duns Scotus' reportatio Ia -- Univocal immanence -- Actual infinity -- The pathology of the triple primacy -- Immanence III: Nicholas of Cusa's De docta ignorantia -- The coincidence of opposites -- The folds of life -- Absolute vs. contracted pantheism -- Speculative pantheism (Deleuze's interlocutors) -- Pantheism and pure immanence -- The insubordination of immanence in Deleuze -- Scholia I: the isomorphism of univocity and immanence -- Scholia II: the vitalist logic of common notions -- Scholia III: the life of substance -- Dark pantheism -- Ellipses: Wang Yangming and idealist naturalism -- Logic and life (on Kantian teratology) -- The wandering line from Aristotle to Kant -- Critique of life -- Spectral life and speculative realism -- Ontotheology in Kant, atheology in Bataille -- The night land. (shrink)

This paper describes a generative theory of bugs. It claims that all bugs of a procedural skill can be derived by a highly constrained form of problem solving acting on incomplete procedures. These procedures are characterized by formal deletion operations that model incomplete learning and forgetting. The problem solver and the deletion operator have been constrained to make it impossible to derive “star‐bugs”—algorithms that are so absurd that expert diagnosticians agree that the alogorithm will never be observed as a bug. (...) Hence, the theory not only generates the observed bugs, it fails to generate star‐bugs.The theory has been tested on an extensive data base of bugs for multidigit subtraction that was collected with the aid of the diagnostic systems buggy and debuggy. In addition to predicting bug occurrence, by adoption of additional hypotheses, the theory also makes predictions about the frequency and stability of bugs, as well as the occurrence of certain latencies in processing time during testing. Arguments are given that the theory can be applied to domains other than subtraction and that it can be extended to provide a theory of procedural learning that accounts for bug acquisition. Lastly, particular care has been taken to make the theory principled so that it can not be tailored to fit any possible data. (shrink)

In these days, there is an increasing technological development in intelligent tutoring systems. This field has become interesting to many researchers. In this paper, we present an intelligent tutoring system for teaching mathematics that help students understand the basics of math and that helps a lot of students of all ages to understand the topic because it's important for students of adding and subtracting. Through which the student will be able to study the course and solve related problems. An (...) evaluation of the intelligent tutoring systems was carried out and the results were encouraging. (shrink)

‘Let us not forget this: when “I raise my arm”;, my arm goes up. And the problem arises: what is left over if I subtract the fact that my arm goes up from that fact that I raise my arm?’.

Our object is to study the interaction between mereology and David Lewis’ theory of subject-matters, elaborating his observation that not every subject matter is of the form: how things stand with such-and-such a part of the world. After an informal introduction to this point in Section 1, we turn to a formal treatment of the partial orderings arising in the two areas – the part-whole relation, on the one hand, and the relation of refinement amongst partitions of the set of (...) worlds, on the other. We emphasize a certain duality, formulated in and in Section 2, between the corresponding lattice operations – mereological joins with partition-lattice meets, mereological meets with partition-lattice joins. Section 3 presents some issues that are raised by consideration of the informally familiar idea of logical subtraction. These include, in particular, a problem about the need for a notion of independence different from the usual logical notion going by that name. The apparatus of Section 2 promises to throw some light on this problem, as we indicate in Section 4. Section 5 ties up some loose ends and suggests an area in which further work would be desirable. (shrink)

In this essay I to do three things. First, I discuss a statement from the Tractatus which says that our free will consists in our ignorance of future actions: “The freedom of the will consists in the impossibility of knowing actions that still lie in the future. We could know them only if causality were an inner necessity like that of logical inference.” (5.1362) I think this statement might well be inspired by a claim Moore made in connection with free (...) will in his 1912 book Ethics: “We can hardly ever know for certain beforehand, which choice we actually shall make”. But I think Moore’s claim in favor of free will is not convincing. Second, I discuss a question raised in Philosophical Investigations. Wittgenstein asks what remains if we “subtract” the fact that my arm goes up from the fact that I raise my arm, and he adds in brackets: “Are the kinaesthetic sensations my willing?” (621) This added reflection is a reaction to ideas put forward by William James. Wittgenstein opposes these ideas. He argues that we should not think of the will as a cause at all, kinaesthetic or not, but rather as something embedded in, and constituted by, certain contexts of learning, expectation, practice, and lack of surprise. This is a strong claim. He also returns to the question about the predictability of the future: “When people talk about the possibility of foreknowledge of the future they always forget the fact of the prediction of one’s own voluntary movements” (629). The question is whether Wittgenstein has solved, or dissolved, the problem of free will. Some think that this is the case. I doubt it is. This is the third point I wish to discuss. (shrink)

Short-term or working memory provides temporary storage of information in the brain after an experience and is associated with conscious awareness. Neurons sensitive to the multiple stimulus attributes comprising an experience are distributed within many brain regions. Such distributed cell assemblies, activated by an event, are the most plausible system to represent the WM of that event. Studies with a variety of imaging technologies have implicated widespread brain regions in the mediation of WM for different categories of information. Each kind (...) of WM may thus be expected to involve many brain regions rather than a local, uniquely dedicated set of cells. Neurons in a distributed “cell assembly” may be self-selected by their temporally coherent activations. The process by which this fragmented representation of the recent past is reassembled to accomplish essentially automatic and reliable recognition of a recurrent event constitutes an important problem. One plausible mechanism to achieve the identification of past with previous events would require that the representational system mediating WM must coexist in spatial extent and somehow overlap in temporal activation with cell ensembles registering input from subsequent events. The detection of such a postulated mechanism required an experimental approach which would focus upon spatial patterns of coherent activation while information about different events was stored in WM and retrieved, rather than focusing upon the temporal sequences of activation in localized regions of interest. For this purpose, the familiar delayed matching from sample task was modified. A series of information-free flashes, or “noncontingent probes,” was presented before an initial series of visual information items, the Priming Sample, which were to be held in WM during a Delay Period. A second series of visual information items were then presented, the Matching Sample. The task required detection of any item in the second series which had beenabsentfrom the initial series. Thirty such trials with a particular category of visual information constituted a single task. Several DMS tasks with this standardized design, but with different categories of visual information, were presented within each test session. The information categories included letters of the alphabet, single digit numbers, or faces from a school yearbook. Event-related potentials , were computed from 21 standardized electrode placements, separately for information-free probes and for information items in each interval of the trials within a task. Because each electrode is particularly sensitive to coherent activation of neurons in the immediately underlying brain regions, topographic maps were constructed and interpolated across the surface of the scalp. The momentary fluctuations of the resulting voltage “landscapes” throughout the task were then subjected to quantitative analysis. Distinctive landscapes sometimes persisted for prolonged periods, implying sustained engagement of very large populations of neurons. “Difference landscapes” were constructed by subtraction of topographic maps evoked by noncontingent probes during the Delay Period from maps of probe ERPs before the presentation of the initial information in the Priming Sample. Such probe difference landscapes displayed recurrent high similarity to momentary landscapes elicited during subsequent presentation of the information items in the Matching Sample. It seemed as if the distributed cell assembly continuously engaged by mediation of WM of the diverse attributes of the initial stimuli was being dynamically compared to the ensembles engaged by registration of the subsequent stimuli. Spatial Principal Component Analysis was applied to the sequences of momentary voltage landscapes observed throughout trials of each task. This method sought a small number of spatial patterns with which these large sets of inhomogeneous spatial distributions of voltage could be reconstructed. This is the spatial analog of the reconstruction of local ERPs by temporal principal components, as often described previously. Five Spatial Principal Components were found which accounted for about 90% of the total variance of voltage across the surface of the scalp throughout every task. Theloadings,or distinguishing topographic features, of these SPCs, were highly similar during every cognitive task for every subject. However,factor scores,or relative average contribution to the overall voltage distributions, of the different SPCs varied substantially among subjects between the tasks and momentarily within successive intervals of each task. These five SPCs may reflect coherent activation of huge distributed ensembles of neurons which comprise independent but interacting functional brain subsystems. These subsystems may correspond to basic resources available to individuals for allocation to mediate conscious evaluation of information during cognitive activity, providing a filter to bind together fractionated representations of the past to evaluate the present. (shrink)

Ontology is currently perceived as the solution of first resort for all problems related to biomedical terminology, and the use of description logics is seen as a minimal requirement on adequate ontology-based systems. Contrary to common conceptions, however, description logics alone are not able to prevent incorrect representations; this is because they do not come with a theory indicating what is computed by using them, just as classical arithmetic does not tell us anything about the entities that are added (...) or subtracted. In this paper we shall show that ontology is indeed an essential part of any solution to the problems of medical terminology – but only if it is understood in the right sort of way. Ontological engineering, we shall argue, should in every case go hand in hand with a sound ontological theory. (shrink)

Organic evolution, or change, among the diatoms has proceeded with considerable regularity. The origins, the extinctions, and the increases in numbers of species and genera, on the whole, have submitted to law and order, as rules-within-limits . The changes of evolution have followed from two sorts of phenomena — 1) the origin and extinction of shortlived or unstable species, in a proportion which has been more or less constant, but different in the two groups of diatoms, Centricae and Pennatae; these (...) short-lived species died out in the subperiod of their origin even under favourable enough environment or surrounding conditions, because of the innate instability of these particular species: and 2) the origin of new species which demonstrated their innate capacity for permanence by remaining in the living condition from their origins mostly up to the present time. The continued or continual additions of new and long-living species, in proportion to the number available as possible and parental species, has given the geometrical progressions.Consequently evolution in the diatoms has been monopodial, or one-stemmed, and not sympodial or not with many substitutions of one species after another in successions. The two kinds of species-durations are well-known in other classes of plants and animals. Exactly the same processes of additions, subtractions, and multiplications, particularly as found in the centric diatoms, are very probable in these classes of plants and animals which have given the same answer or arithmetical result for the whole of their previous histories, in the form of the frequency distribution of the present sizes of their genera.The rules-within-limits of this basic evolution are described, defined, and discussed in their relations to various theories of evolution which perhaps only concern the working of factors of superimposed modifications that reduce the results of the pattern or plan of basic evolution.Die phylogenetische Entwicklung wurde im Bereich der Kieselalgen von bestimmten Gesetzmässigkeiten beherrscht. Die Entstehung neuer Arten und Gattungen, ihr Wiederverschwinden und die Zunahme des Formenreichtums, resultierend aus der Zahl der neuentstandenen, vermindert um die der wieder verschwindenen Arten und Gattungen und vollzog sich nach Regeln , die durch folgende Phänomene gekennzeichnet sind: Zwischen der Zahl der neuentstehenden und der Zahl der in der gleichen geologischen Subperiode aus inneren Gründen wieder aussterbenden Arten besteht eine mehr oder wenig feste Beziehung. Diese ist für die Centricae und Pennatae verschieden. Ein bestimmter Anteil der neuentstandenen Arten und Gattungen erwies sich aus inneren Gründen als „ausdauernd” und blieb bis auf den heutigen Tag erhalten. Die Zunahme der Arten- Zahl durch das Hinzukommen langlebiger Formen war stetig und vollzog sich nach Massgabe geometrischer Progressionen.Diese Tatsachen führen zu dem Schluss, dass die phylogenetische Entwicklung der Kieselalgen nach monopodialem, und nicht nach sympodialem Muster vorsichging. Auch in andern Pflanzengruppen und im Tierreich durften die gleichen Gesetzmässigkeiten herrschend sein. Am klarsten gelangen sie bei den Centricae zum, Ausdruck und werden vom Autor als das Fazit von Additions-, Subtraktions-, und Multiplikationsprozessen aufgefasst. Die heutige Situation bezüglich Häufigkeit der Grössen der Gattungen, in Zahl der Arten, ist das Endergebnis der summativen Wirkung dieser Einzelprozesse.Diese als ‚rules-within-limits’ bezeichneten Gesetzmässigkeiten werden im einzelnen beschrieben, erklärt und zusammenfassend dargestellt. Zu andern Evolutionstheorien in Beziehung gebracht, werden sie schliesslich für Erörterung des Problems benutzt, inwieweit noch andere evolutionsgeschichtliche Prozesse als übergeordnete Faktoren in den vom Verfasser dargestellten Grundplan des Evolutionsgeschehens eingreifen können.L'évolution organique ou le changement parmi les Diatomées s'est effectué avec une régularité considérable. Les origines et les extinctions, et les accroissements des nombres des espèces et des genres, se sont soumis en tout aux lois et aux ordres, commes des régularités à l'intérieur de légères déviations. Le changement de l'évolution fut la conséquence de deux sortes de phénomène: l'origine et l'extinction des espèces éphémères dans une proportion plus ou moins déterminée mais différente pour les deux classes des Diatomées, Centricae et Pennatae; ces espèces éphémères moururent dans la subpériode de leur origines malgré le caractère assez favorable des circonstances environnantes, à cause de l'évanescence inhérente aux espèces particulières, et l'origine des espèces nouvelles qui démontrèrent leur qualité innée de permanence tout en continuant de vivre depuis leurs origines, pour la plupart, jusqu'à présent. Les additions continuelles d'espèces nouvelles et permanentes, en nombres proportionnés aux nombres disponibles comme espèces parentes et possibles, donnèrent des accroissements par progressions géométriques.Par conséquent, l'évolution parmi les Diatomées fut monopodiale et non pas sympodiale. Les deux sortes d'espèces-durées sont bien connues parmi beaucoup d'autres classes de plantes et d'animaux. Les mêmes procédés d'additions, de soustractions et de multiplications, particulièrement tels qu'on les trouve dans les Centricae, sont très probables pour ces classes de plantes et d'animaux qui ont donné un résultat le plus semblable pour la somme totale de leur histoire précédente, sous la forme de la répartition des fréquences de leurs grandeurs générique actuelles.Les régularités à l'intérieur de légères déviations de cette évolution fondamentale sont détaillées, définies et discutées dans leurs relations aux diverses théories touchant les autres méthodes de l'évolution qui jouent le rôle de facteurs modifiants superposés au dessin général ou au dessein de l'évolution fondamentale. (shrink)

Bare particulars have received a fair amount of bad press. Many find such entities to be obviously incoherent and dismiss them without much consideration. Proponents of bare particulars, on their part, have not done enough to clearly motivate and characterize bare particulars, thus leaving them open to misinterpretations. With this paper, I try to remedy this situation. I put forward a much-needed positive case for bare particulars through the four problems that they can be seen to solve—The Problem of (...) Individuation, The Problem of Change, The Problem of Having a Property, and The Problem of Subtraction. I then distinguish and characterize three possible types of bare particulars—genuinely bare, constitutively bare, and thinly clothed—and consider how each of these cope with some classical and recent objections to bare particulars. I argue that the most troubling objections do not come from familiar quarters, but from examining how well such entities address all four of the ontological problems outlined. I ultimately conclude that the best contenders among the three types of bare particulars are the constitutively bare variety, but argue that, if they are to earn their keep, they must either share or turn over their individuating role to the ordinary particulars that they constitute. (shrink)

ABSTRACT The individual-community relationship has always been one of the most fundamental topics of social sciences. In sociology, this is known as the micro-macro relationship while in economics it refers to the processes, through which, individual actions lead to macroeconomic phenomena. Based on philosophical discourse and systems theory, many sociologists even use the term "emergence" in their understanding of micro-macro relationship, which refers to collective phenomena that are created by the cooperation of individuals, but cannot be reduced to individual actions. (...) "Emergence" theories attempt to explain the nature of society as a complex system by examining how individuals and their relationships lead to the creation of integrated and macro-social phenomena such as markets, educational systems, cultural beliefs, and shared social practices. As a prelude to activity, every researcher has to answer the question from the methodological point of view, how is it possible to study the behavior of social groups and how can we gain knowledge about the laws related to social groups? Anyone who deals with humanities and social sciences or any reality and phenomenon that affects human beings, inevitably deals with the reality that is emerging. In fact, emergence occurs when one level of reality emerges radically from another level. Examples of emergent levels of reality include how the mind emerges from the body; or the way society emerges from human beings. Therefore, when there is an emerging factor, different scientific disciplines should be used, because it is inevitable to talk about social affairs, psychology and neurobiology, as well as physical and even chemical. -/- INTRODUCTION Since its beginning in the 19th century, sociology has faced the fundamental question of what a social phenomena stands for? At a glance, sociologists deal with the study of social groups, collective behavior, institutions, social structures, social networks, and social dynamics, and ultimately all such phenomena are composed of individuals. Therefore, social phenomena seem to have no independent ontological status, and in this case, sociology is ultimately about reducible individuals. Different approaches about the micro-macro relationship, using the concept of "emergence", argue that although collective phenomena are created by individuals, they cannot be reduced to individual action. The term "emergence" is used to distinguish "emergent results" from " Procedural results". Results are called Procedural that can only be calculated by adding or subtracting the causes that act together. On the contrary, they are emergent outcomes that are qualitatively novel compared to the causes from which they originate. An example of such emergent results is mental characteristics that emerge from neural processes, but are not considered among the characteristics of neural processes of components - which are their origin. Philosophical debates about emergentism and reductionism focus on the mind-brain relationship, but as many philosophers have noted, they can be generalized to apply to any hierarchical set of features. The cognitive revolution reactivated a 19th century controversy between theorists of Identity and dualism. The theorists of Identity believe in reductionist materialism and elimination of metaphysics, according to which the mind is nothing more than the biological, while the dualists believe that the mind and the brain are distinct from each other. Emergence has been considered as a third way between the theories of Identity and dualism. -/- METHODOLOGY Interdisciplinarity Is fundamentally indicated by the dominance of open systems as well as social and emerging systems at different levels. Therefore, as long as we are facing a new emergentism, there will necessarily be different fields and an interdisciplinary method. The commonality of social sciences and cognitive sciences on the issue of emergence provides the possibility of interaction and exchange of concepts between these two for deeper research. Therefore, in this research, apart from the concepts of Subvenience and downward causation, we have used multiple realization and wildly disjunctive, which are used to explain the emerging concept in cognitive sciences, including neurobiology, psychology, and philosophy. For analytical and interdisciplinary approaches, after examining the concepts of subvenience, and wildly disjunctive, Individualistic and collectivist emergentism have been reviewed. And then their adequacy is criticized and evaluated in meeting strong emergence conditions. -/- FINDINGS Philosophers of the mind have been able to define the conditions of irreducibility and downward causation, which are essential for strong emergence, by using the principle of subvenience with the help of multiple realization and wildly disjunctive principles. Therefore, by definition, emergentist individualism suffers from the problem of how to explain downward causality and irreducibility, and emergentist collectivism faces the challenge of reification. The analysis of the challenges facing the two methodological approaches of individualism and collectivism leads us to three unresolved issues about the emerging phenomenon, which are realism, downward causality, and mechanism. Despite the differences in the stances of these two approaches regarding the aforementioned triple problems, individualists and collectivists both agree that some social characteristics are reducible; and some others are irreducible due to their complexity, the determination of which, depends on the case study of the mechanism of emergence of each social characteristic. -/- CONCLUSION An emergence that is consistent with reductionism is called a weak emergence. And strong emergence includes the principle of irreducibility and downward causality. According to strong emergence, the characteristics of social phenomena have downward causal power, which cannot be reduced to the causal forces. The principle of subvenience, together with multiple realization and wildly disjunctive, can provide the conditions of irreducibility and downward causality, which are essential conditions of strong emergence. Based on the philosophical analysis of two methodological approaches, individualist and collectivist, it can be concluded that emergentist individualism suffers from the problem of how to explain downward causality and irreducibility, and reification collectivism faces the challenge of reification. The analysis of the problems faced by these two approaches leads us to three unresolved issues, which are realism, downward causality, and mechanism. individualist emergentists acknowledge the existence of emergent social characteristics, but despite this, they believe that these characteristics are not real but merely analytical constructs that require explanation based on individuals and their mutual actions. But collectivists argue that emergentism yields a categorical ontology and supports social realism. They accept the dependence of social characteristics on individuals, but claim that social entities and structures are ontologically independent. Individualists and collectivists both agree that some social characteristics are reducible; and others are irreducible due to their complexity; and the only way to recognize this is to engage in empirical studies of the mechanisms and temporal processes of "emergence" that create social characteristics. -/- NOVELTY The newness of this compact article is as follows: a) Presenting an interdisciplinary approach using the analysis of philosophy of cognitive sciences, including the philosophy of mind, neurobiology and psychology to formulate the issue of social emergence; b) Criticizing individualist and collectivist methodological approaches to the issue of social emergence and explaining the sufficiency and shortcomings of both in providing weak and strong emerging conditions; c) Explaining and categorizing the challenges facing methodological approaches in explaining the phenomenon of social emergence, in three categories: realism, downward causality, and mechanism. BIBLIOGRAPHY Beckermann, A., Flohr, H., & Kim, J. (eds.) (1992). Emergence or reduction? Essays on the prospects of nonreductive physicalism. Berlin: Walter de Gruyter. Bhaskar, R. (1979). The possibility of Naturalism. New York: Routledge. Bhaskar, R., Danermark, B. & Price, L. (2018). Interdisciplinarity and wellbeing: A critical realist general theory of interdisciplinarity. London and New York: Routledge. Blau, P.M. (1981). Introduction: diverse views of social structure and their common denominator. In Blau, P.M. & Merton, R.K. (eds.), Continuity in Structural Inquiry (pp. 1–23). Beverly Hills: Sage. Blau, P.M. (1987). Microprocess and macrostructure. In K.S. Cook (ed.), Social Exchange Theory (pp. 83–100). Newbury Park, CA: Sage. Brooks, R.A., & Maes, P. (eds). (1994). Artificial life IV; proceedings of the Fourth International Workshop on the Synthesis and Simulation of Living Systems. Cambridge, Mass: MIT Press. Clark, A. (1997). Being there: Putting brain, body, and world together again. Cambridge, Mass.: MIT Press. Coleman, J. S. (1987). Microfoundations and macrosocial behavior. In: J. C. Alexander, B. Giesen, R. Munch, & Neil J. Smelser (Eds.). The Micro-Macro Link (pp. 153–73). Berkeley: University of California. Coleman, J. S. (1990). Foundations of social theory. Cambridge, MA: Harvard University Press. Elster, J. (1985). Making sense of Marx. New York: Cambridge University Press. Fodor, J.A. (1974). Special sciences (Or: The disunity of science as a working hypothesis). Synthese, 28(2), 97–115. Fodor, J.A. (1989). Making mind matter more. Philosophical Topics, 17, 59-79. Giddens, A. (1984). The constitution of society: Outline of the theory of structuration. Berkeley: University of California Press. Hempel, C.G. (1965). Aspects of scientific explanation and other essays in the philosophy of science. New York: The Free Press. Horgan, T. (1993). 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Deliberative democracy is unrealistic, but so are rational-choice models of democracy. The elements of reality that rationalistic theories of democracy leave out are the very elements that deliberative democrats would need to subtract if their theory were to be applied to reality. The key problem is not, however, the altruistic orientation that deliberative democrats require; opinion researchers know that voters are already sociotropic, not self-interested. Rather, as Schumpeter saw, the problems lie in understanding politics, government, and economics under modern—and (...) postmodern—conditions. Modernity entails levels of complexity that stymie voters' attempts to be well informed about which political promises will actually solve social problems. Postmodernity adds to complexity an overabundance of fragmented information experienced impatiently and fleetingly by citizens who confuse entertainment with knowledge, and whose political demands are as unrealistic as their personal desire for a unique identity. These factors can be added, one by one, to the minimalist rational-choice model of politics, with each step leading us farther away from deliberative democracy. (shrink)

In this book, best-selling author and mathematician Haim Shapira presents an introduction to mathematical theories which deal with the most beautiful concept ever invented by humankind: infinity. Written in clear, simple language and aimed at a lay audience, this book also offers some strategies that will allow readers to try their ability at solving truly fascinating mathematical problems. Infinity is a deeply counter-intuitive concept that has inspired many great thinkers. In this book we will meet many sages, both familiar (...) and unfamiliar: Zeno and Pythagoras, Georg Cantor and Bertrand Russell, Sofia Kovalevskaya and Emmy Noether, al-Khwarizmi and Euclid, Sophie Germain and Srinivasa Ramanujan. The world of infinity is inhabited by many paradoxes, and so is this book: Zeno paradoxes, Hilbert's "Infinity Hotel", Achilles and the gods paradox, the paradox of heaven and hell, the Ross-Littlewood paradox involving tennis balls, the Galileo paradox and many more. Aimed at the curious but non-technical reader, this book refrains from using any fearsome mathematical symbols. It uses only the most basic operations of mathematics: adding, subtracting, multiplication, division, powers and roots - that is all. But that doesn't mean that a bit of deep thinking won't be necessary and rewarding. Writing with humour and lightness of touch, Haim Shapira banishes the chalky pallor of the schoolroom and offers instead a truly thrilling intellectual journey. Fasten your seatbelt - we are going to Infinity, and beyond! (shrink)