We argue that two powerful error-theoretic concepts provide a general framework that satisfactorily accounts for key aspects of the explanation of physical patterns. This method gives an objective criterion to determine which mathematical models in a class of neighboring models are just as good as the exact one. The method also emphasizes that abstraction is essential for explanation and provides a precise conceptual framework that determines whether a given abstraction is explanatorily relevant and justified. Hence, it increases our (...) epistemological understanding of how one should go about reconstructing scientific practices by making clear that, at a fundamental level, a key aspect of mathematical modeling consists in exactly solving nearby problems. (shrink)

ABSTRACT Can there be mathematical explanations of physical phenomena? In this paper, I suggest an affirmative answer to this question. I outline a strategy to reconstruct several typical examples of such explanations, and I show that they fit a common model. The model reveals that the role of mathematics is explicatory. Isolating this role may help to re-focus the current debate on the more specific question as to whether this explicatory role is, as proposed here, also an explanatory one.

The use of “levels of abstraction” in philosophical analysis (levelism) has recently come under attack. In this paper, I argue that a refined version of epistemological levelism should be retained as a fundamental method, called the method of levels of abstraction. After a brief introduction, in section “Some Definitions and Preliminary Examples” the nature and applicability of the epistemological method of levels of abstraction is clarified. In section “A Classic Application of the Method ofion”, the philosophical fruitfulness of the new (...) method is shown by using Kant’s classic discussion of the “antinomies of pure reason” as an example. In section “The Philosophy of the Method of Abstraction”, the method is further specified and supported by distinguishing it from three other forms of “levelism”: (i) levels of organisation; (ii) levels of explanation and (iii) conceptual schemes. In that context, the problems of relativism and antirealism are also briefly addressed. The conclusion discusses some of the work that lies ahead, two potential limitations of the method and some results that have already been obtained by applying the method to some long-standing philosophical problems. (shrink)

전통적인 인식론에 따르면, 우리는 우리 정신 바깥의 외부 세계를 경험한다. 이러한 경험은 단순히 외부 대상을 사유하거나 추론하는 것을 넘어서, 감각적으로 보고 듣고 만지는 지각활동을 포함한다. 이 점에서 지각 활동은 우리 마음이 세계와 만나는 가장 직접적으로 만나는 접점이며, 외부 세계에 대한 추론에 그 근거를 제공한다. 그런데, 우리의 지각 활동이 오류 가능하다는 점은 그러한 근거를 의심스럽게 만든다. 대표적으로, 우리는 사물에 대해 왜곡된 표상을 지니는 착각(illusion), 그리고 지각에 떠오른 사물이 사실은 존재하지도 않는 환각(hallucination)을 경험한다. 이처럼 외부 사물에 대한 추론의 근거인 지각이 오류 가능하다면, (...) 인식론적 정당화는 도대체 가능한가? 이에 대한 인식론의 긍정적인 응답은 인식론적 선언주의, 표상주의, 관계주의 등을 꼽을 수 있다. 그 중에서도 관계주의는 지각 경험을 대물(de re) 양상으로 분석하면서 지각적 실재론에 중요한 통찰을 제공한다. 그러나 이들 논제들의 철학적 중요성은 차치하더라도, 여전히 이러한 이론들이 착각과 환각을 적절하게 설명하지는 매우 의심스럽다. 본고의 논지는 상기한 입장들이 모두 불만족스러우며, 환각과 착각에 대한 적절한 설명을 제공하지 못한다는 비판점에서 출발한다. 그리고 이를 바탕으로, 착각과 환각에 대한 개선된 설명이 믿음문맥 안으로의 양화(quantifying in belief context) 개념을 통해서 해명될 것이다. (shrink)

Abstract“The wrongness of Albert's action causally explains why Jane judged that his action was wrong”. This type of causal moral explanation has been extensively discussed in the recent metaethical literature. This paper motivates the following claims about this type of moral explanation. First, a typical defence of this type of moral explanation suggested in the literature does not work because it predicts inaccurate modal information. Second, focusing on different aspects of the ways moral judgements are generated provides (...) better chances for the defender of this type of moral explanation. Third, the strategy mentioned in the previous point leads us to the following alternative evaluative explanation: The property of being a harmful action explains a recognisable pattern of moral judgements observed in the relevant empirical studies. One crucial implication the paper alludes to is a localist approach to the debates concerning moral realism: We should consider each moral property's ontological genuineness separately, referring to specific empirical findings that are particularly relevant to the target moral property in question. Such a localist approach can provide solid resources for realists to respond to various anti‐realist challenges, such as an influential evolutionary debunking argument. (shrink)

Some explanations are relatively abstract: they abstract away from the idiosyncratic or messy details of the case in hand. The received wisdom in philosophy is that this is a virtue for any explanation to possess. I argue that the apparent consensus on this point is illusory. When philosophers make this claim, they differ on which of four alternative varieties of abstractness they have in mind. What’s more, for each variety of abstractness there are several alternative reasons to think that (...) the variety of abstractness in question is a virtue. I identify the most promising reasons, and dismiss some others. The paper concludes by relating this discussion to the idea that explanations in biology, psychology and social science cannot be replaced by relatively micro explanations without loss of understanding. (shrink)

New mechanical philosophy posits that explanations in the life sciences involve the decomposition of a system into its entities and their respective activities and organization that are responsible for the explanandum phenomenon. This mechanistic account of explanation has proven problematic in its application to mathematical models, leading the mechanists to suggest different ways of aligning abstract models with the mechanist program. Initially, the discussion centered on whether the Hodgkin-Huxley model is explanatory. Network models provided another complication, as they apply (...) to a wide number of materially diverse systems. In this article, we examine the various attempts to integrate abstract models within the mechanist program, also presenting a further challenge: the Heimburg-Jackson model, which was introduced as an alternative to the Hodgkin-Huxley model. We argue that although the notion of abstraction as the omission of irrelevant mechanistic details appears to give a mechanistic solution for accommodating abstract models, this notion does not suit models whose epistemic strategy is not decompositional. As a result, the mechanist has to choose whether to dilute the mechanistic approach nearly beyond recognition or to claim that many, if not most, abstract theoretical models do not deliver mechanistic explanations, or qualify as explanatory at all. (shrink)

A consistent finding in research on conditional reasoning is that individuals are more likely to endorse the valid modus ponens (MP) inference than the equally valid modus tollens (MT) inference. This pattern holds for both abstract task and probabilistic task. The existing explanation for this phenomenon within a Bayesian framework (e.g., Oaksford & Chater, 2008) accounts for this asymmetry by assuming separate probability distributions for both MP and MT. We propose a novel explanation within a computational-level Bayesian account (...) of reasoning according to which “argumentation is learning”. We show that the asymmetry must appear for certain prior probability distributions, under the assumption that the conditional inference provides the agent with new information that is integrated into the existing knowledge by minimizing the Kullback-Leibler divergence between the posterior and prior probability distribution. We also show under which conditions we would expect the opposite pattern, an MT-MP asymmetry. (shrink)

This chapter contains sections titled: Abstract Introduction The Tacit ‐ Agreement Approach to Morality as Social Construction Speaker Relativism What it Might Mean for Morality to be Constructed as Part of Human Culture Explaining Moral Commonalities and Differences Across Cultures Relativism and the Meaning of Moral Terms Explaining Intra ‐ Group Disagreement Why Fundamental Intragroup Disagreement Might Be Inevitable References.

Abstract: Situations that social scientists and others explain by using concepts like "custom" and "norm" often tend to be situations in which many other kinds of explanations (for example, biological, psychological, economic, historical) seem plausible as well. Do these other explanations compete with the custom or norm explanations, or do they complement them? We need to consider this question carefully and not just assume that various accounts are all permissible at different levels of analysis. In this article I describe two (...) families of noncompeting accounts: (1) explanations of different (but similarly described) facts, and (2) accounts that seem to differ but are really different parts or versions of the same underlying explanation. I argue that while many types of apparent competitors don't really compete with norms, there are usually some that do. These competing accounts will usually undermine the norm account. (shrink)

Aquinas’s process of abstraction of the particular thing into a universal concept is of pivotal importance for grounding his philosophy and theology in a natural framework. Much has been said and written regarding Aquinas’s doctrine of abstraction, yet recent studies still consider it to be ‘nothing more than a kind of magic.’ This problematic claim is not without foundation, for in trying to understand exactly how this process works, we are constantly faced with an unbridgeable abyss and the repeated vague (...) explanations made by Aquinas. The plain truth is that Aquinas explains what abstraction ought to do and yet, most of the time, he does not explain how it is to be done. This paper intends to show that although Aquinas does not present us with a mechanism for the theory of abstraction, we are nevertheless able to construct a viable mechanism which accords with Aquinas’s guidelines. The aim of constructing a working mechanism that corresponds to what Aquinas demands of the process of abstraction is twofold: First, it attempts to extricate Aquinas’s doctrine of abstraction from the claims of being a quasi-natural doctrine. Second, a viable process of abstraction which is derived from Aquinian-Aristotelian sources can approach contemporary cognitive problems from a fresh point of view. (shrink)

New mechanical philosophy posits that explanations in the life sciences involve the decomposition of a system into its entities and their respective activities and organization that are responsible for the explanandum phenomenon. This mechanistic account of explanation has proven problematic in its application to mathematical models, leading the mechanists to suggest different ways of aligning abstract models with the mechanist program. Initially, the discussion centered on whether the Hodgkin-Huxley model is explanatory. Network models provided another complication, as they apply (...) to a wide number of materially diverse systems. In this article, we examine the various attempts to integrate abstract models within the mechanist program, also presenting a further challenge: the Heimburg-Jackson model, which was introduced as an alternative to the Hodgkin-Huxley model. We argue that although the notion of abstraction as the omission of irrelevant mechanistic details appears to give a mechanistic solution for accommodating abstract models, this notion does not suit models whose epistemic strategy is not decompositional. As a result, the mechanist has to choose whether to dilute the mechanistic approach nearly beyond recognition or to claim that many, if not most, abstract theoretical models do not deliver mechanistic explanations, or qualify as explanatory at all. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:94. HUME'S EXPLANATION OF RELIGIOUS BELIEF1 In The Natural History of Religion, David Hume offers a not unsophisticated account of the fact that persons hold religious beliefs. In so doing, he produces an explanatory system analogous to that which occurs concerning causal belief, belief in 'external objects', and belief in an enduring self in the Treatise ¦ The explanation of the occurrence of religious belief is more (...) detailed than the explanation provided in the other cases just mentioned. In the Natural History, Hume devotes a short volume to explaining religious belief, while in the Treatise the causal, external object, and enduring self beliefs merit 2 but long sections. More important, however, than length of treatment is the fact that the pattern of explanation is identical in each instance. The Natural History could be embedded without categorial clash into the Treatise, perhaps as Book Four with"fifteen sections, and each formerly separate volume would shed light on the program and tactics of the other. My interest here is in the epistemic features of the explanatory system Hume developed in the Natural History. Hume forthrightly proclaims that The Natural History Of Religion is in fact an attempt to explain the occurrence of religious belief. He writes: What those principles are, which give rise to the original belief, and what those accidents and causes are, which direct its operation, is the subject of our present enquiry.4 (NHR21) Original belief here does duty for "original religious belief", and as he takes religious belief to be nearly but not altogether universal in scope and astonishingly diverse in object, he supposes the principle, or cause, of such belief to be secondary in the sense that its operation is (so to say) defeasible and its product diversified. Hume's powerful critique of the argument from design in Sections II 95. through VIII of the Dialogues is not the only reason for doubting that his occasional kind remarks concerning it should be taken as indicating that he supposed it sound and valid. The very fact that Hume wrote a book intended to explain the occurrence of religious belief by identifying as its cause a built-in principle and its eliciting stimuli should give us pause about Hume's apparent acceptance of something like the argument from design. For while in the Natural History he says that: The whole frame of nature bespeaks an intelligent author; and no ¦ rational enquirer can, after serious reflection, suspend his belief a moment with regard to the primary principles of genuine Theism and Religion. (NHR21) He speaks, not of a conclusion having been proved true, but of a belief having been rendered unsuspendable. Further, neither we nor Hume will ordinarily offer a causal account of the fact that a person has a belief unless there is doubt that the person has sufficient reason for holding it. He does not, for example, offer any such explanation of our acceptance of sincere present-tense first person psychological reports, concerning the truth (indeed, the incorrigibility ) of which he in the Treatise confidently affirms : For since all actions and sensations of the mind are known to us by consciousness, they must necessarily appear in every particular what they are, and be what they appear. Every thing that enters the mind, being in rea lity perception, 'tis impossible any thing should to feeling appear different. This were to suppose that even where we are most intimately conscious, we might be mistaken. (T190) Or, even more modestly, and without assuming a causal-account and a sufficient-reason-account of a belief to be competing (or even necessarily different) explanations, we may note that Hume proposes to explain the occurrence of religious belief by reference to principle and eliciting stimuli without making reference to reasons or arguments as items possessing epistemic function or 96. evidential force, but only as items capable of triggering a built-in response. That this is_ his tactic I have argued rather fully on another occasion; here I will focus only on the general pattern of Hume's explanation of religious belief. Hume endeavors to explain religious belief without supposing it (in any of its forms) to be true as well as without supposing it... (shrink)

The use of "levels of abstraction" in philosophical analysis (levellism) has recently come under attack. In this paper, we argue that a refined version of epistemological levellism should be retained as a fundamental method, which we call the method of abstraction. After a brief introduction, in section two we make clear the nature and applicability of the (epistemological) method of levels of abstraction. In section three, we show the fruitfulness of the new method by applying it to five case studies: (...) the concept of agenthood, the Turing test, the definition of emergence, quantum observation and decidable observation. In section four, we further characterise and support the method by distinguishing it from three other forms of "levellism": (i) levels of organisation; (ii) levels of explanation and (iii) conceptual schemes. In this context, we also briefly address the problems of relativism and antirealism. In the conclusion, we indicate some of the work that lies ahead, two potential limitations of the method and some results that have already been obtained by applying the method to some long-standing philosophical problems. (shrink)

Abstract.Evolutionary psychology and behavioural genomics are both approaches to explain human behaviour from a genetic point of view. Nonetheless, thus far the development of these disciplines is anything but interdependent. This paper examines the question whether evolutionary psychology can contribute to behavioural genomics. Firstly, a possible inconsistency between the two approaches is reviewed, viz. that evolutionary psychology focuses on the universal human nature and disregards the genetic variation studied by behavioural genomics. Secondly, we will discuss the structure of biological explanations. (...) Some philosophers rightly acknowledge that explanations do not involve laws which are exceptionless and universal. Instead, generalisations that are invariant suffice for successful explanation as long as two other stipulations are recognised: the domain within which the generalisation has no exceptions as well as the distribution of the mechanism described by the generalisation should both be specified. It is argued that evolutionary psychology can contribute to behavioural genomic explanations by accounting for these two specifications. (shrink)

Many cognitive and evolutionary theories of religion argue that supernatural explanations are byproducts of our cognitive adaptations. An influential argument states that our supernatural explanations result from a tendency to generate anthropomorphic explanations, and that this tendency is a byproduct of an error management strategy because agents tend to be associated with especially high fitness costs. We propose instead that anthropomorphic and other supernatural explanations result as features of a broader toolkit of well-designed cognitive adaptations, which are designed for explaining (...) the abstract and causal structure of complex, unobservable, and uncertain phenomena that have substantial impacts on fitness. Specifically, we argue that (1) mental representations about the abstract vs. the supernatural are largely overlapping, if not identical, and (2) when the data-generating processes for scarce and ambiguous observations are complex and opaque, a naive observer can improve a bias-variance trade-off by starting with a simple, underspecified explanation that Western observers readily interpret as “supernatural.” We then argue that (3) in many cases, knowledge specialists across cultures offer pragmatic services that involve apparently supernatural explanations, and their clients are frequently willing to pay them in a market for useful and effective services. We propose that at least some ethnographic descriptions of religion might actually reflect ordinary and adaptive responses to novel problems such as illnesses and natural disasters, where knowledge specialists possess and apply the best available explanations about phenomena that would otherwise be completely mysterious and unpredictable. (shrink)

In this paper, I provide a critical examination of Warren Schmaus’s recently systematized “functionalist” approach to the study of collective representations. I examine both the logical and the conceptual viability of Schmaus’s brand of “functionalism” and the relation between his rational reconstruction and philosophical critique of Durkheim and the latter’s original set of proposals. I conclude that, due to its reliance on certain problematic philosophical theses, Schmaus’s functionalism ultimately falls short of providing a coherent alternative to the Durkhemian position or (...) serving as a useful starting point from which to understand the origins of abstract categories in concrete experience. (shrink)

In the recent literature on causal and non-causal scientific explanations, there is an intuitive assumption according to which an explanation is non-causal by virtue of being abstract. In this context, to be ‘abstract’ means that the explanans in question leaves out many or almost all causal microphysical details of the target system. After motivating this assumption, we argue that the abstractness assumption, in placing the abstract and the causal character of an explanation in tension, is misguided in ways (...) that are independent of which view of causation or causal explanation one takes to be most accurate. On major accounts of causation, as well as on major accounts of causal explanation, the abstractness of an explanation is not sufficient for it being non-causal. That is, explanations are not non-causal by dint of being abstract. (shrink)

This paper addresses the methodological problem of analysing what it is to explain observed behaviours of engineered computing systems, focusing on the crucial role that abstraction and idealization play in explanations of both correct and incorrect BECS. First, it is argued that an understanding of explanatory requests about observed miscomputations crucially involves reference to the rich background afforded by hierarchies of functional specifications. Second, many explanations concerning incorrect BECS are found to abstract away from descriptions of physical components and processes (...) of computing systems that one finds below the logic circuit and gate layer of functional specification hierarchies. Third, model-based explanations of both correct and incorrect BECS that are provided in the framework of formal verification methods often involve idealizations. Moreover, a distinction between restrictive and permissive idealizations is introduced and their roles in BECS explanations are analysed. (shrink)

Abstract: In Chapter 4 of his "Self-Deception Unmasked" (SDU), Al Mele considers several (attempted) empirical demonstrations of self-deception. These empirical demonstrations work under the conception of what Mele refers to as the 'dual-belief requirement', in which an agent simultaneously holds a belief p and a belief ~p. Toward the end of this chapter, Mele considers the argument of one biologist and anthropologist, Robert Trivers, who describes what he takes to be an evolutionary explanation for coming to form false beliefs. (...) Mele argues briefly that Trivers's account is no more explanatory than a similar one that does not include the dual-belief requirement. I present a case describing Trivers' analysis, show how Mele might reply to it. After briefly explaining Mele's sufficient conditions for entering self-deception from Chapter 3 of SDU, I'll consider what it means to hold the dual-belief. I'll then consider what I take to be a class of cases of self-deception which rely on genetic determinism, which I take to satisfy the dual-belief condition. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:94. HUME'S EXPLANATION OF RELIGIOUS BELIEF1 In The Natural History of Religion, David Hume offers a not unsophisticated account of the fact that persons hold religious beliefs. In so doing, he produces an explanatory system analogous to that which occurs concerning causal belief, belief in 'external objects', and belief in an enduring self in the Treatise ¦ The explanation of the occurrence of religious belief is more (...) detailed than the explanation provided in the other cases just mentioned. In the Natural History, Hume devotes a short volume to explaining religious belief, while in the Treatise the causal, external object, and enduring self beliefs merit 2 but long sections. More important, however, than length of treatment is the fact that the pattern of explanation is identical in each instance. The Natural History could be embedded without categorial clash into the Treatise, perhaps as Book Four with"fifteen sections, and each formerly separate volume would shed light on the program and tactics of the other. My interest here is in the epistemic features of the explanatory system Hume developed in the Natural History. Hume forthrightly proclaims that The Natural History Of Religion is in fact an attempt to explain the occurrence of religious belief. He writes: What those principles are, which give rise to the original belief, and what those accidents and causes are, which direct its operation, is the subject of our present enquiry.4 (NHR21) Original belief here does duty for "original religious belief", and as he takes religious belief to be nearly but not altogether universal in scope and astonishingly diverse in object, he supposes the principle, or cause, of such belief to be secondary in the sense that its operation is (so to say) defeasible and its product diversified. Hume's powerful critique of the argument from design in Sections II 95. through VIII of the Dialogues is not the only reason for doubting that his occasional kind remarks concerning it should be taken as indicating that he supposed it sound and valid. The very fact that Hume wrote a book intended to explain the occurrence of religious belief by identifying as its cause a built-in principle and its eliciting stimuli should give us pause about Hume's apparent acceptance of something like the argument from design. For while in the Natural History he says that: The whole frame of nature bespeaks an intelligent author; and no ¦ rational enquirer can, after serious reflection, suspend his belief a moment with regard to the primary principles of genuine Theism and Religion. (NHR21) He speaks, not of a conclusion having been proved true, but of a belief having been rendered unsuspendable. Further, neither we nor Hume will ordinarily offer a causal account of the fact that a person has a belief unless there is doubt that the person has sufficient reason for holding it. He does not, for example, offer any such explanation of our acceptance of sincere present-tense first person psychological reports, concerning the truth (indeed, the incorrigibility ) of which he in the Treatise confidently affirms : For since all actions and sensations of the mind are known to us by consciousness, they must necessarily appear in every particular what they are, and be what they appear. Every thing that enters the mind, being in rea lity perception, 'tis impossible any thing should to feeling appear different. This were to suppose that even where we are most intimately conscious, we might be mistaken. (T190) Or, even more modestly, and without assuming a causal-account and a sufficient-reason-account of a belief to be competing (or even necessarily different) explanations, we may note that Hume proposes to explain the occurrence of religious belief by reference to principle and eliciting stimuli without making reference to reasons or arguments as items possessing epistemic function or 96. evidential force, but only as items capable of triggering a built-in response. That this is_ his tactic I have argued rather fully on another occasion; here I will focus only on the general pattern of Hume's explanation of religious belief. Hume endeavors to explain religious belief without supposing it (in any of its forms) to be true as well as without supposing it... (shrink)

ABSTRACT: Qualia, the subjectively known qualities of conscious experience, are judged by many philosophers and scientists to lie beyond the domain of scientific explanation, thus making the conscious mind partly incomprehensible to the objective physical sciences. Some, like Kripke and Chalmers, employ modal logic to argue that explanations of qualia are impossible in principle. I argue that there already exist perfectly normal scientific explanations of qualia, and rebut the arguments of those who deny this possibility.

We argue that two well-known examples (strawberry distribution and Konigsberg bridges) generally considered genuine cases of distinctively _mathematical_ explanation can also be understood as cases of distinctively _generic_ explanation. The latter answer resemblance questions (e.g., why did neither person A nor B manage to cross all bridges) by appealing to ‘generic task laws’ instead of mathematical necessity (as is done in distinctively mathematical explanations). We submit that distinctively generic explanations derive their explanatory force from their role in ontological (...) unification. Additionally, we argue that distinctively generic explanations are better seen as standardly mathematical instead of distinctively mathematical. Finally, we compare and contrast our proposal with the work of Christopher Pincock on abstract explanations in science and the views of Michael Strevens on abstract causal event explanations. (shrink)

Abstract.Legal philosophy must consider the way in which laws function as reasons for action. “Simple positivism” considers laws as merely reasons in the balance of reasons. Joseph Raz, as a representative of “sophisticated positivism,” argues that laws are exclusionary reasons for action, not merely reasons in the balance of reasons. This paper discusses Raz's arguments for his view. The Functional Argument provides no more reason for positivism than against it. The Phenomenological Argument is best supported by an account of how (...) character traits function in explaining behaviour. But then the distinction between exclusionary reasons and expressive reasons is obliterated. Legal positivism cannot absorb laws as expressive reasons for action. Raz's positivism implies the correctness of an anti‐positivistic legal theory. (shrink)

Several modern accounts of explanation acknowledge the importance of abstraction and idealization for our explanatory practice. However, once we allow a role for abstraction, questions remain. I ask whether the relation between explanations at different theoretical levels should be thought of wholly in terms of abstraction, and argue that changes of the quantities in terms of which we describe a system can lead to novel explanations that are not merely abstractions of some more detailed picture. I use the (...) example of phase transitions as described by statistical mechanics and thermodynamics to illustrate this, and to demonstrate some details of the relationship between abstraction, idealization, and novel explanation. (shrink)

Originative apprehension often has been examined in recent decades in light of Aquinas’ reflections. Yet there has not always been agreement in regard to what constitutes such, often due to different emphases given by interpreters to aspects of St. Thomas’ analyses articulated in different contexts. Arguably, it is possible to reconcile certain seemingly divergent important interpretations by reflecting on an important, yet somewhat recessive, theme that Thomas adverted to sparingly throughout his career in utilizing analyses of predecessors to forge his (...) own synthesis to explain cognition in terms of being that is centered on the reciprocal priorities of judging and concomitant incomplex abstracting. (shrink)

This article argues that the process of development as such explains a great deal of the forms and properties of individual developmental trajectories, without the necessity of having to rely on either external or internal factors or causes. Both the problem of developmental change and invariance can be explained by employing a dynamic systems conceptualization of development. It is shown that dynamic systems models on the one hand and those of the genuine developmental models in psychology on the other, share (...) a set of important general properties that are able to explain both the universal and the idiosyncratic aspects of developmental processes. The concept of mental and behavioral ecology, which may serve as a starting point for specific theories of development of cognition, social behavior, personality and so forth, is discussed. It is concluded that both long-term and short-term developmental patterns will be shown to follow similar abstract dynamical principles. (shrink)

Abstraction and idealization are the two notions that are most often discussed in the context of assumptions employed in the process of model building. These notions are also routinely used in philosophical debates such as that on the mechanistic account of explanation. Indeed, an objection to the mechanistic account has recently been formulated precisely on these grounds: mechanists cannot account for the common practice of idealizing difference-making factors in models in molecular biology. In this paper I revisit the debate (...) and I argue that the objection does not stand up to scrutiny. This is because it is riddled with a number of conceptual inconsistencies. By attempting to resolve the tensions, I also draw several general lessons regarding the difficulties of applying abstraction and idealization in scientific practice. Finally, I argue that more care is needed only when speaking of abstraction and idealization in a context in which these concepts play an important role in an argument, such as that on mechanistic explanation. (shrink)

This article focuses on a case that expert practitioners count as an explanation: a mathematical account of Plateau’s laws for soap films. I argue that this example falls into a class of explanations that I call abstract explanations.explanations involve an appeal to a more abstract entity than the state of affairs being explained. I show that the abstract entity need not be causally relevant to the explanandum for its features to be explanatorily relevant. However, it remains unclear how to (...) unify abstract and causal explanations as instances of a single sort of thing. I conclude by examining the implications of the claim that explanations require objective dependence relations. If this claim is accepted, then there are several kinds of objective dependence relations. 1 Introduction2 A Case3 Abstract and Causal Explanations4 Recent Work on Mathematical Explanation5 Explanation and Dependence6 Conclusion. (shrink)

This paper identifies one way that a mathematical proof can be more explanatory than another proof. This is by invoking a more abstract kind of entity than the topic of the theorem. These abstract mathematical explanations are identified via an investigation of a canonical instance of modern mathematics: the Galois theory proof that there is no general solution in radicals for fifth-degree polynomial equations. I claim that abstract explanations are best seen as describing a special sort of dependence relation between (...) distinct mathematical domains. This case study highlights the importance of the conceptual, as opposed to computational, turn of much of modern mathematics, as recently emphasized by Tappenden and Avigad. The approach adopted here is contrasted with alternative proposals by Steiner and Kitcher. (shrink)

argumentation has been shown to be a powerful tool within many fields such as artificial intelligence, logic and legal reasoning. In this paper we enhance Dung’s well-known abstract argumentation framework with explanatory capabilities. We show that an explanatory argumentation framework (EAF) obtained in this way is a useful tool for the modeling of scientific debates. On the one hand, EAFs allow for the representation of explanatory and justificatory arguments constituting rivaling scientific views. On the other hand, different procedures for selecting (...) arguments, corresponding to different methodological and epistemic requirements of theory evaluation, can be formulated in view of our framework. (shrink)

Abstract objects are widely held to pose a formidable epistemological challenge. It has seemed mysterious to many how we can have access to such strange and intangible entities. The article considers five influential ways to meet the challenge: Transcendental arguments, the indispensability argument, insisting that we just are able to grasp abstract objects and that no further explanation is needed, abstractionist accounts, and ontological reduction. None of these approaches is by itself sufficient or completely convincing, but together they make (...) out a strong cumulative case for the accessibility of abstract objects. (shrink)

ABSTRACT Hume’s Dialogues concerning Natural Religion (1779) describes a philosophical discussion on the validity of the argument from design. What Hume investigates, however, is not the rational grounds of religion, but human nature and its attraction to the idea of design. I argue that the key to understanding Hume’s Dialogues is his conception of the imagination as described in the Treatise. Hume characterizes the human imagination or mind as self-indulgent, with a strong drive to unite perceptions in relations of resemblance, (...) contiguity or causality, often adding fictional constructions to create an easy transition between ideas. Natural religion is a prime example, as the whole universe is united in orderly means-to-ends relations and provided with a familiar cause: something resembling the human mind. This reading of the Dialogues, however, does not warrant the conclusion that Hume provides a reductionist natural explanation of natural religion. Knowing human nature helps to understand religion’s attraction and the attraction of religion helps to understand humans, because it is paradigmatic of who we are. To connect perceptions, construct wholes and create meaning out of chaos is an essential feature of human nature, and a source of great pleasure. (shrink)

Explanations of how the brain makes successful predictions should refer to abstracta. But, the mind/brain system is for more than prediction alone. Creativity also plays an important role in supply the mind/brain system with abstracta that serve a number of valuable ends over and above prediction.

(No abstract is available for this citation).

Explanations of biological phenomena such as cell division, protein synthesis or circadian rhythms commonly take the form of models of the responsible mechanisms. Recently philosophers of science have attempted to analyze this practice, presenting mechanisms as organized collections of parts performing operations that together produce the phenomenon. But in some cases what researchers seek to explain is not a general phenomenon, but a specific feature of a more fine-grained phenomenon. In some of these cases, it is not the model of (...) the mechanism that performs the explanatory work. I consider a case in which the investigator offered an abstract representation of a fine-grained phenomenon to show why in had the feature in question. I consider a second case in which a researcher abstracted from the mechanism to identify a design principle that explains why the functioning mechanism exhibits a specific feature. (shrink)

Approaches to explanation -- Causal and explanatory relevance -- The kairetic account of /D making -- The kairetic account of explanation -- Extending the kairetic account -- Event explanation and causal claims -- Regularity explanation -- Abstraction in regularity explanation -- Approaches to probabilistic explanation -- Kairetic explanation of frequencies -- Kairetic explanation of single outcomes -- Looking outward -- Looking inward.