I provide a theory of causation within the causal modeling framework. In contrast to most of its predecessors, this theory is model-invariant in the following sense: if the theory says that C caused (didn't cause) E in a causal model, M, then it will continue to say that C caused (didn't cause) E once we've removed an inessential variable from M. I suggest that, if this theory is true, then we should understand a cause as something which transmits deviant or (...) non-inertial behavior to its effect. (shrink)

The externalist says that your evidence could fail to tell you what evidence you do or not do have. In that case, it could be rational for you to be uncertain about what your evidence is. This is a kind of uncertainty which orthodox Bayesian epistemology has difficulty modeling. For, if externalism is correct, then the orthodox Bayesian learning norms of conditionalization and reflection are inconsistent with each other. I recommend that an externalist Bayesian reject conditionalization. In its stead, I (...) provide a new theory of rational learning for the externalist. I defend this theory by arguing that its advice will be followed by anyone whose learning dispositions maximize expected accuracy. I then explore some of this theory’s consequences for the rationality of epistemic akrasia, peer disagreement, undercutting defeat, and uncertain evidence. (shrink)

According to orthodox causal decision theory, performing an action can give you information about factors outside of your control, but you should not take this information into account when deciding what to do. Causal decision theorists caution against an irrational policy of 'managing the news'. But, by providing information about factors outside of your control, performing an act can give you two, importantly different, kinds of good news. It can tell you that the world in which you find yourself is (...) good in ways you can't control, and it can also tell you that the act itself is in a position to make the world better. While the first kind of news does not speak in favor of performing an act, I believe that the second kind of news does. I present a revision of causal decision theory which advises you to manage the news about the good you stand to promote, while ignoring news about the good the world has provided for you. (shrink)

I present an account of deterministic chance which builds upon the physico-mathematical approach to theorizing about deterministic chance known as 'the method of arbitrary functions'. This approach promisingly yields deterministic probabilities which align with what we take the chances to be---it tells us that there is approximately a 1/2 probability of a spun roulette wheel stopping on black, and approximately a 1/2 probability of a flipped coin landing heads up---but it requires some probabilistic materials to work with. I contend that (...) the right probabilistic materials are found in reasonable initial credence distributions. I note that, with some normative assumptions, the resulting account entails that deterministic chances obey a variant of Lewis's 'principal principle'. I additionally argue that deterministic chances, so understood, are capable of explaining long-run frequencies. (shrink)

A one-boxer, Erica, and a two-boxer, Chloe, engage in a familiar debate. The debate begins with Erica asking Chloe: ‘If you’re so smart, then why ain’cha rich?’. As the debate progresses, Chloe is led to endorse a novel causalist theory of rational choice. This new theory allows Chloe to forge a connection between rational choice and long-run riches. In brief: Chloe concludes that it is not long-run wealth but rather long-run wealth creation which is symptomatic of rationality.

Accuracy-first accounts of rational learning attempt to vindicate the intuitive idea that, while rationally-formed belief need not be true, it is nevertheless likely to be true. To this end, they attempt to show that the Bayesian's rational learning norms are a consequence of the rational pursuit of accuracy. Existing accounts fall short of this goal, for they presuppose evidential norms which are not and cannot be vindicated in terms of the single-minded pursuit of accuracy. I propose an alternative account, according (...) to which learning experiences rationalize changes in the way you value accuracy, which in turn rationalize changes in belief. I show that this account is capable of vindicating the Bayesian's rational learning norms in terms of the single-minded pursuit of accuracy, so long as accuracy is rationally valued. (shrink)

If the laws are deterministic, then standard theories of counterfactuals are forced to reject at least one of the following conditionals: 1) had you chosen differently, there would not have been a violation of the laws of nature; and 2) had you chosen differently, the initial conditions of the universe would not have been different. On the relevant readings—where we hold fixed factors causally independent of your choice—both of these conditionals appear true. And rejecting either one leads to trouble for (...) philosophical theories which rely upon counterfactual conditionals—like, for instance, causal decision theory. Here, I outline a semantics for counterfactual conditionals which allows us to accept both (1) and (2). And I discuss how this semantics deals with objections to causal decision theory from Arif Ahmed. (shrink)

A handful of well-known arguments (the 'diachronic Dutch book arguments') rely upon theorems establishing that, in certain circumstances, you are immune from sure monetary loss (you are not 'diachronically Dutch bookable') if and only if you adopt the strategy of conditionalizing (or Jeffrey conditionalizing) on whatever evidence you happen to receive. These theorems require non-trivial assumptions about which evidence you might acquire---in the case of conditionalization, the assumption is that, if you might learn that e, then it is not the (...) case that you might learn something else that is consistent with e. These assumptions may not be relaxed. When they are, not only will non-(Jeffrey) conditionalizers be immune from diachronic Dutch bookability, but (Jeffrey) conditionalizers will themselves be diachronically Dutch bookable. I argue: 1) that there are epistemic situations in which these assumptions are violated; 2) that this reveals a conflict between the premise that susceptibility to sure monetary loss is irrational, on the one hand, and the view that rational belief revision is a function of your prior beliefs and the acquired evidence alone, on the other; and 3) that this inconsistency demonstrates that diachronic Dutch book arguments for (Jeffrey) conditionalization are invalid. (shrink)

A norm of local expert deference says that your credence in an arbitrary proposition A, given that the expert's probability for A is n, should be n. A norm of global expert deference says that your credence in A, given that the expert's entire probability function is E, should be E(A). Gaifman (1988) taught us that these two norms are not equivalent. Stalnaker (2019) conjectures that Gaifman's example is "a loophole". Here, I substantiate Stalnaker's suspicions by providing characterisation theorems which (...) tell us precisely when the norms give different advice. They tell us that, in a good sense, Gaifman's example is the only case where the two norms differ. I suggest that the lesson of the theorems is that Bayesian epistemologists need not concern themselves with the differences between these two kinds of norms. While they are not strictly speaking equivalent, they are equivalent for all philosophical purposes. (shrink)

Consider the following claims: -/- 1. The drought caused the famine. -/- 2. Drowsy driving causes crashes. -/- 3. How much I water my plant influences how tall it grows. -/- 4. How much novocaine a patient receives affects how much pain they will feel during dental surgery. -/- The metaphysics of causation asks questions about what it takes for claims like these to be true—what kind of relation the claims are about, and in virtue of what these relations obtain.

While structural equations modeling is increasingly used in philosophical theorizing about causation, it remains unclear what it takes for a particular structural equations model to be correct. To the extent that this issue has been addressed, the consensus appears to be that it takes a certain family of causal counterfactuals being true. I argue that this account faces difficulties in securing the independent manipulability of the structural determination relations represented in a correct structural equations model. I then offer an alternate (...) understanding of structural determination, and I demonstrate that this theory guarantees that structural determination relations are independently manipulable. The account provides a straightforward way of understanding hypothetical interventions, as well as a criterion for distinguishing hypothetical changes in the values of variables which constitute interventions from those which do not. It additionally affords a semantics for causal counterfactual conditionals which is able to yield a clean solution to a problem case for the standard ‘closest possible world’ semantics. (shrink)

My topic is how to make decisions when you possess foreknowledge of the consequences of your choice. Many have thought that these kinds of decisions pose a distinctive and novel problem for causal decision theory (CDT). My thesis is that foreknowledge poses no new problems for CDT. Some of the purported problems are not problems. Others are problems, but they are not problems for CDT. Rather, they are problems for our theories of subjunctive supposition. Others are problems, but they are (...) not new problems. They are old problems transposed into a new key. Nonetheless, decisions made with foreknowledge illustrate important lessons about the instrumental value of our choices. Once we've appreciated these lessons, we are left with a version of CDT which faces no novel threats from foreknowledge. (shrink)

Weisberg ([2009]) provides an argument that neither conditionalization nor Jeffrey conditionalization is capable of accommodating the holist’s claim that beliefs acquired directly from experience can suffer undercutting defeat. I diagnose this failure as stemming from the fact that neither conditionalization nor Jeffrey conditionalization give any advice about how to rationally respond to theory-dependent evidence, and I propose a novel updating procedure that does tell us how to respond to evidence like this. This holistic updating rule yields conditionalization as a special (...) case in which our evidence is entirely theory independent. 1 Introduction2 Conditionalization3 Holism and Conditionalization4 A Holistic Update5 HCondi and Dutch Books6 Commutativity and Learning about Background Theories6.1 Commutativity6.2 Learning about background theories7 In Summation. (shrink)

The role of causation and counterfactuals in causal decision theory is vexed and disputed. Recently, Brian Hedden (2023) argues that we should abandon causal decision theory in favour of an alternative: counterfactual decision theory. I argue that, pace Hedden, counterfactual decision theory is not a competitor to, but rather a version of, causal decision theory – the most popular version by far. I provide textual evidence that the founding fathers of causal decision theory (Stalnaker, Gibbard, Harper, Lewis, Skyrms, Sobel, and (...) Joyce) all endorse counterfactual decision theories. I additionally discuss why these theories came to be called ‘causal’, rather than ‘counterfactual’. And I argue that, properly understood, causal decision theory escapes Hedden's objections. (shrink)

The thesis of instrumental convergence holds that a wide range of ends have common means: for instance, self preservation, desire preservation, self improvement, and resource acquisition. Bostrom contends that instrumental convergence gives us reason to think that "the default outcome of the creation of machine superintelligence is existential catastrophe". I use the tools of decision theory to investigate whether this thesis is true. I find that, even if intrinsic desires are randomly selected, instrumental rationality induces biases towards certain kinds of (...) choices. Firstly, a bias towards choices which leave less up to chance. Secondly, a bias towards desire preservation, in line with Bostrom's conjecture. And thirdly, a bias towards choices which afford more choices later on. I do not find biases towards any other of the convergent instrumental means on Bostrom's list. I conclude that the biases induced by instrumental rationality at best weakly support Bostrom's conclusion that machine superintelligence is likely to lead to existential catastrophe. (shrink)

Consider two epistemic experts—for concreteness, let them be two weather forecasters. Suppose that you aren’t certain that they will issue identical forecasts, and you would like to proportion your degrees of belief to theirs in the following way: first, conditional on either’s forecast of rain being x, you’d like your own degree of belief in rain to be x. Secondly, conditional on them issuing different forecasts of rain, you’d like your own degree of belief in rain to be some weighted (...) average of the forecast of each. Finally, you’d like your degrees of belief to be given by an orthodox probability measure. Moderate ambitions, all. But you can’t always get what you want. (shrink)

Several philosophers have embraced the view that high-level events—events like Zimbabwe's monetary policy and its hyper-inflation—are causally related if their corresponding low-level, fundamental physical events are causally related. I dub the view which denies this without denying that high-level events are ever causally related causal emergentism. Several extant philosophical theories of causality entail causal emergentism, while others are inconsistent with the thesis. I illustrate this with David Lewis's two theories of causation, one of which entails causal emergentism, the other of (...) which entails its negation. I then argue for causal emergentism on the grounds that it provides the only adequate means of squaring the apparent plenitude of causal relations between low-level events with the apparent scarcity of causal relations between high-level events. This tension between the apparent abundance of low-level causation and the apparent scarcity of high-level causation has been noted before. However, it has been thought that various theses about the semantics or the pragmatics of causal claims could be used to ameliorate the tension without going in for causal emergentism. I argue that none of the suggested semantic or pragmatic strategies meet with success, and recommend emergentist theories of causality in their stead. As Lewis's 1973 account illustrates, causal emergentism is consistent with the thesis that all facts reduce to microphysical facts. (shrink)

Principles of chance deference face two kinds of problems. In the first place, they face difficulties with a priori knowable contingencies. In the second place, they face difficulties in cases where you've lost track of the time. I provide a principle of chance deference which handles these problem cases. This principle has a surprising consequence for Adam Elga's Sleeping Beauty Puzzle.

Orthodox causal decision theory is unstable. Its advice changes as you make up your mind about what you will do. Several have objected to this kind of instability and explored stable alternatives. Here, I'll show that explorers in search of stability must part with a vestige of their homeland. There is no plausible stable decision theory which satisfies Savage's Sure Thing Principle. So those in search of stability must learn to live without it.

According to the theory developed here, we may trace out the processes emanating from a cause in such a way that any consequence lying along one of these processes counts as an effect of the cause. This theory gives intuitive verdicts in a diverse range of problem cases from the literature. Its claims about causation will never be retracted when we include additional variables in our model. And it validates some plausible principles about causation, including Sartorio's ‘Causes as Difference Makers’ (...) principle and Hitchcock's ‘Principle of Sufficient Reason’. (shrink)

Jack Spencer argues we should reject a decision rule called MaxRat because it's incompatible with this principle: If you know that you will choose an option, x, and you know that x is better than every other option available to you, then it is permissible for you to choose x. I agree with Spencer that defenders of MaxRat should reject this principle. However, I disagree insofar as he suggests that he and orthodox causalists are in a position to accept it. (...) Both orthodox CDT and Spencer's own theory of rational choice are incompatible with the principle as well. It is surprising to realise, but all are agreed: it can be irrational to knowingly choose the best. (shrink)

I present a decision problem in which causal decision theory appears to violate the independence of irrelevant alternatives (IIA) and normal-form extensive-form equivalence (NEE). I show that these violations lead to exploitable behavior and long-run poverty. These consequences appear damning, but I urge caution. This decision should lead causalists to a better understanding of what it takes for a decision between some collection of options to count as a subdecision of a decision between a larger collection of options. And with (...) this better understanding of subdecisions in hand, causalists will not violate the IIA or the NEE. This decision will also teach causalists that, in sequential decisions, a rational agent may be led to make a series of choices which are causally dominated by some other sequence of choices they could have made instead. I will encourage causalists to recognise this as an intrapersonal tragedy of the commons. (shrink)

An indifference principle says that your credences should be distributed uniformly over each of the possibilities you recognise. A chance deference principle says that your credences should be aligned with the chances. My thesis is that, if we are anti-Humeans about chance, then these two principles are incompatible. Anti-Humeans think that it is possible for the actual frequencies to depart from the chances. So long as you recognise possibilities like this, you cannot both spread your credences evenly and defer to (...) the chances. I discuss some weaker forms of indifference which will allow anti-Humeans to defer to the chances. (shrink)

Principles of expert deference say that you should align your credences with those of an expert. This expert could be your doctor, the objective chances, or your future self, after you've learnt something new. These kinds of principles face difficulties in cases in which you are uncertain of the truth-conditions of the thoughts in which you invest credence, as well as cases in which the thoughts have different truth-conditions for you and the expert. For instance, you shouldn't defer to your (...) doctor by aligning your credence in the de se thought 'I am sick' with the doctor's credence in that same de se thought. Here, I generalise principles of expert deference to handle these kinds of problem cases. (shrink)

Newcomb’s Problem, Arif Ahmed (editor). Cambridge University Press, 2018, 233 pages.

Introduction. A human and the world are an organically connected part and whole, they are always a single World, and therefore they can only evolve together, in one direction. The human world consists of many interconnected and interdepend- ent parts. If any one of the parts (for example, technology) begins to dominate and claim the sta- tus of the whole, then the problem of violating the optimal ratio in the coexistence and co-evolutionary development of each of the parts, and hence (...) the whole itself, becomes aggravated. Hence, the eco-humanistic problem arises. The purpose of the work is to present the content and substantiate the theoretical and practical significance of eco-humanism as a new humanitar- ian knowledge and methodology for understanding the specifics of the relationship “man — technical and-technological world”. Methods. The author uses the methods of dia- lectics, systemic and synergetic approaches, the project (projective) method, which is implemented in the design and development of a new philo- sophical and scientific discipline of eco-humanism, and ideas of co-evolution. Scientific novelty of the research. The author determines basic foundations of eco-humanism as a new type of humanitarian knowledge; formulates and meaningfully substan- tiates the main principles of eco-humanism as a methodological setting for the ecologization of a person and the world: optimality, coordination and dominance of the whole (integrity) in relation to its parts. Results. Eco-humanistics is defined as a new type of knowledge about a person and a specific setting of his thinking and practical activities, focused on finding ways and means to achieve op- timality in relation to various aspects (for example, technical and anthropological) in a person’s being to ensure the possibility of their fruitful existence, to preserve and reproduce a person (as a unique integrity) and his world (as a universal integrity), in their interconnected and interdependent unity. Conclusions. The author of the article comes to the conclusion that the theoretical development of eco-humanistics will make it possible to study and analyze the phenomena of modern culture in a more multifaceted way, to get a more accurate interpretation of the ways of human existence and eco-cultural practices that provide the effect of the state of the “ecosystem” in situations of any intense socio-cultural transformations. (shrink)

The purpose of the study is to reveal the main actions of the major central banks during the COVID - 19 pandemic and their main impact on the world stock markets. The scientific novelty consists in identifying the key results of the impact of the pandemic in general and the restrictive measures of national governments, in particular, on the dynamics of the state of the stock markets of the world, namely, the level of decline in the main stock indexes of (...) the S &P 500, Dow Jones and NASDAQ. The measures taken by the central banks of the United States, Japan, England and other developed and developing countries of the world to provide financial assistance to commercial banks and other financial organizations related to the purchase of government bonds at a "zero" rate, targeting the yield of government bonds, reducing key rates and other measures are summarized. It is indicated that the influx of new private investors provided a great help to the stock market, for which many Central Banks introduced special programs and preferences. As a result, the main measures taken by the Central Bank of the Russian Federation to stabilize the financial situation in the country and the domestic stock market, in particular, are summarized. (shrink)

To explain evaluation we need to take into account the perspective of an evaluator, we need to turn to phenomenological approach in moral theory. This is the approach proposed by John McDowell. According to him, we need to approach to the question ‘How to live right?’ via the concept of a virtuous person. To lendsupport to his views McDowell employs Wittgensteinean philosophy that could be a good basis for establishing moral phenomenology as a metaethical approach to moral phenomena. First of (...) all, introducing the notion of language-game we can provide a metaethical explanation of moral terms referring to roles they play in certain language-games. From this point of view there is no difference between moral terms and other terms. But understanding a language-game not just as a model of a certain kind of behavior formed by external observer, but as a form of life we can capture moral phenomena form within. The language-game considered as the form of life allows us to discern certain phenomena as moral ones. That is why trying to answer the question about right livingfrom the virtuous person perspective we should be involved in a language game that carves moral phenomena from the brute stuff of the world and forms a certain kind of sensitivity in us to these properties. Wittgensteinean philosophy also allows us to answer the question: how can mere knowledge of situation make us behave? Following Wittgensteinean ideas, we can present moral knowledge as something uncodifiable, which is exhibited in our everyday life, in our way of living and ‘going on doing the same thing’. It is impossible to understand this knowledge from the external point of view. To see how this knowledge can motivate someone, we need to capture the way the person appreciates a particular situation. (shrink)

The objective of this article is to characterise elimination of finite generalised imaginaries as defined in [9] in terms of group cohomology. As an application, I consider series of Zariski geometries constructed [10, 23, 24] by Hrushovski and Zilber and indicate how their nondefinability in algebraically closed fields is connected to eliminability of certain generalised imaginaries.

The article is devoted to the analysis of theoretical bases of G. Bateson's anthropology. The author focuses on the concept of pattern by tracing the origins of this concept in the Goethe's morphology, the Gestalt psychology, the Benedict's anthropology, the Cybernetics and the Communication theory. In the context of the Communication theory “pattern" appears as a synonym of the engineering term “redundancy" that makes possible to consider it as a necessary condition for anticipation of communication sequences and economy of description. (...) In addition, the pattern (redundancy) as a information organization form stands as the main criterion for sig- nal/noise ratio distinction. According to Bateson, the “pattern" can also be seen as an approximate synonym of “meaning". Applying of this interpretation to Bateson's analysis of the culture makes possible a more rigorous view at the problems of anthropological observation and description. The analysis demonstrates the need for anthropological observation, detecting patterns of two levels: the first one is valid within cultural systems (basic ideas, values and symbols of culture), the other one is valid within the system «culture + the observer» (abstract models). Thus, recognition of the pattern of the first level belonging to the language of the observed culture makes possible the interpretation of cultural events and facts. The pattern of the second level is not recognized but it is constructed, in a language more abstract than both the language of the observed culture and the language of culture of the observer. It is an explanatory scheme, in which mapping the fragments of description. (shrink)

Summary Historians of science have neglected early modern natural philosophers' varied attitudes to the history of philosophy, often preferring to use loose labels such as ?Epicureanism? to describe the survival of ancient doctrines. This is methodologically inappropriate: reifying such philosophical movements tells us little about the complex ways in which early modern natural philosophers approached the history of their own discipline. As this article shows, a central figure of early modern natural philosophy, Robert Boyle, invested great intellectual energy into his (...) depiction of the history of philosophy. Boyle's historical worldview was mediated through an array of textual traditions: classical, patristic, humanist and contemporary. Drawing extensively on his manuscript notes, this is examined for three topics. First, from his turn to natural philosophy in the late 1640s, Boyle combined a sceptical attitude towards philosophy's potential ? stemming from humanist historicisations of the ?speculative? heritage of Greek philosophy ? with a belief in natural philosophy's efficacy as a spiritual exercise, as performed by ancient ?priests of nature?. Second, Boyle's attitude to the history of matter theory was far more complex than any simple comparison with ?ancient atomism? can convey. Unlike many of his contemporaries, Boyle held Epicurus to be a speculative and reductionist philosopher, leading him to posit a different lineage for a non-reductionist corpuscularianism which depended on exploitation of non-standard historiographical traditions. Appreciating this allows us to make an intervention in the ongoing debate about the relationship between corpuscularianism, chymistry and experiment in Boyle's philosophy. Third, Boyle's historicisation of supposedly anthropomorphic philosophies in his famous Free Enquiry (1686) exploited recent theological historiography, most importantly Samuel Parker's combination of the history of idolatry with the history of Greek philosophy, which itself relied on developments in continental sacred history. It was this historicisation, rather than any philosophical realities, which led to the positing of the mechanical philosophy as more compatible than Aristotelianism with Christian doctrine. (shrink)

In their useful logic for a computer network Shramko and Wansing generalize initial values of Belnap’s 4-valued logic to the set 16 to be the power-set of Belnap’s 4. This generalization results in a very specific algebraic structure — the trilattice SIXTEEN 3 with three orderings: information, truth and falsity. In this paper, a slightly different way of generalization is presented. As a base for further generalization a set 3 is chosen, where initial values are a — incoming data is (...) asserted, d — incoming data is denied, and u — incoming data is neither asserted nor denied, that corresponds to the answer “don’t know”. In so doing, the power-set of 3, that is the set 8 is considered. It turns out that there are not three but four orderings naturally defined on the set 8 that form the tetralattice EIGHT 4 . Besides three ordering relations mentioned above it is an extra uncertainty ordering. Quite predictably, the logics generated by a –order (truth order) and d –order (falsity order) coincide with first-degree entailment. Finally logic with two kinds of operations ( a –connectives and d –connectives) and consequence relation defined via a –ordering is considered. An adequate axiomatization for this logic is proposed. (shrink)

We explore a possibility of generalization of classical truth values by distinguishing between their ontological and epistemic aspects and combining these aspects within a joint semantical framework. The outcome is four generalized classical truth values implemented by Cartesian product of two sets of classical truth values, where each generalized value comprises both ontological and epistemic components. This allows one to define two unary twin connectives that can be called “semi-classical negations”. Each of these negations deals only with one of the (...) above mentioned components, and they may be of use for a logical reconstruction of argumentative reasoning. (shrink)

In their useful logic for a computer network Shramko and Wansing generalize initial values of Belnap’s 4-valued logic to the set 16 to be the power-set of Belnap’s 4. This generalization results in a very specific algebraic structure — the trilattice SIXTEEN3 with three orderings: information, truth and falsity. In this paper, a slightly different way of generalization is presented. As a base for further generalization a set 3 is chosen, where initial values are a — incoming data is asserted, (...) d — incoming data is denied, and u — incoming data is neither asserted nor denied, that corresponds to the answer “don’t know”. In so doing, the power-set of 3, that is the set 8 is considered. It turns out that there are not three but four orderings naturally defined on the set 8 that form the tetralattice EIGHT4. Besides three ordering relations mentioned above it is an extra uncertainty ordering. Quite predictably, the logics generated by a–order and d–order coincide with first-degree entailment. Finally logic with two kinds of operations and consequence relation defined via a–ordering is considered. An adequate axiomatization for this logic is proposed. (shrink)

There is a productive and suggestive approach in philosophical logic based on the idea of generalized truth values. This idea, which stems essentially from the pioneering works by J.M. Dunn, N. Belnap, and which has recently been developed further by Y. Shramko and H. Wansing, is closely connected to the power-setting formation on the base of some initial truth values. Having a set of generalized truth values, one can introduce fundamental logical notions, more specifically, the ones of logical operations and (...) logical entailment. This can be done in two different ways. According to the first one, advanced by M. Dunn, N. Belnap, Y. Shramko and H. Wansing, one defines on the given set of generalized truth values a specific ordering relation (or even several such relations) called the logical order(s), and then interprets logical connectives as well as the entailment relation(s) via this ordering(s). In particular, the negation connective is determined then by the inversion of the logical order. But there is also another method grounded on the notion of a quasi-field of sets, considered by Białynicki-Birula and Rasiowa. The key point of this approach consists in defining an operation of quasi-complement via the very specific function g and then interpreting entailment just through the relation of set-inclusion between generalized truth values. In this paper, we will give a constructive proof of the claim that, for any finite set V with cardinality greater or equal 2, there exists a representation of a quasi-field of sets isomorphic to de Morgan lattice. In particular, it means that we offer a special procedure, which allows to make our negation de Morgan and our logic relevant. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Dmitry Khanin THE POSTMODERN POSTURE Postmodernists—the sectarians ofour day—proclaim that the old kingdom of historical narrative and historical subject has perished, and is now being replaced by a new one of ahistorical discourses and ahistorical characters. According to these prophets, "history" is anyway just changes in ways of talking about history. Anyone who does not agree with the ahistoricity of the postmodern world oudook may be accused—and tried on (...) the spot—of defending the cause of the totalitarian Reason against the most liberating movement of today. This postmodernist abuse of history is paradoxical, since the very notion of history coming to its end and giving way to the ahistorical kingdom of freedom and merry debauchery is itself a very old idea, even a mythological one. The description ofhistory as marching toward its own demise relies on a whole tradition which portrays history as a drama. Aristode's conception of tragedy as a sequence of actions culminating in a dénouement has no doubt shaped this view of historical process. Christian and other religious millenarians have announced the end of history already many times. Yet another notorious instance of such eschatological daydreaming is the futurology of Karl Marx, who envisaged the kingdom of communism as occupying this same ahistorical space. A rather obsolete idea, perhaps, but it seems still to attract postmodernists, though they give it a characteristic twist, since they sincerely believe theory, discourse, écriture (i.e., theoretico-symbolical activity) are much more important than any actual historical contentprocesses and events. One of the most notable spokesmen for this approach is Arthur Danto, who insists that world history evolved in a good Hegelian manner until the theorists came to understand that history depends on their Philosophy and Literature, © 1990, 14: 239-247 240Philosophy and Literature texts much more than theorists themselves depend on historical processes and events.1 Many theoreticians working in an otherwise Marxist tradition similarly are glad to assert with FredricJameson that we must say farewell to Marx's positivistic illusion that history is driven by laws disguised as economic forces.2 In the epoch of "late capitalism," says Jameson, consumption gains the upper hand over production and becomes the mainspring of history. Of course, in light of recent doings in Europe I am tempted to ask if we owe it to postmodernists—and their ahistorical, inconsistent, and generally confounding claims about history lying in ruins—that the Berlin Wall actually is in ruins and Vaclav Havel is president of Czechoslovakia. Even more daring theorists may now declare an era of "very late capitalism." Here it will not be merely the mass media that act transformatively on society (as McLuhan claimed), but rather consumer goods themselves, like state-of-the-art washing machines or French perfumes, which create a new aura of intellectual discourse. TL· Postmodern Scene: Excremental Culture and Hyper-AesÜietics, a book by two Canadian authors, Arthur Kroker and David Cook, promotes such a sea change in the theoretical landscape and along the way presents a joyous recapitulation ofthe latest fads in postmodern thinking. The new apostolic generation ofpostmodern critics seems to enjoy the beautiful new things that can be bought for bucks, worrying at the same time that bucks may be losing some of their purchasing power. Like Hari-Krishnas dancing in the street they luckily possess a sort of happy consciousness which also recalls their puritanical great grandfathers who regarded profligacy as the greatest sin and much preferred saving to spending. In what follows I want to draw a portrait of this new postmodern posture. A few main assumptions underlie Kroker's and Cook's wake for postmodernism, which, in its peculiar genre of philosophic obituary, epitomizes and thus prepares for future oblivion views which were exceedingly popular in the preceding decade. First of all, the authors adopt Baudrillard's equation of Marx and Nietzsche: "Marx and Nietzsche shared a deep and common affinity in meditating upon historical (Christian) and materialistic (capitalist) expressions ofthewill ofpower."3 From Baudrillard's perspective Marx appears as a pathetic romantic who tried to defend the "referential illusion" by renaturalizing concrete labor even though its entirely abstract character was brilliandy revealed in Das Kapital. Baudrillard... (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)