Sydney Shoemaker has recently given an account of emergent properties according to which emergent properties are a special type of structural property and the determination relation holding between emergent properties and their base properties is one of "mere nomological supervenience." According to Shoemaker, emergent properties are what he calls type-2 microstructural properties, whereas physical properties are type-1 microstructural properties. After highlighting the advantages of viewing emergent properties as a special class of microstructural properties, I show how according to his own (...) causal theory of properties type-2 microstructural properties actually reduce to type-1 microstructural properties, and thus do not truly count as emergent. I then suggest an alternative view according to which emergent properties are actually a third type of microstructural property, one not considered by Shoemaker. I conclude with reflections why we might view the dependence relation between emergent properties and their physical base properties as a causal relation rather than one of mere supervenience. (shrink)

The Generalized Integration Challenge is the task of providing, for a given domain of discourse, a simultaneously acceptable metaphysics, epistemology and metasemantics and showing them to be so. In this paper, we focus on a metaethical position for which seems particularly acute: the brand of normative realism which takes normative properties to be mind-independent and causally inert. The problem is that these metaphysical commitments seem to make normative knowledge impossible. We suggest that bringing metasemantics into play can help to resolve (...) this puzzle. We propose an independently plausible metasemantic constraint on reference determination and show how it can provide a plausible response to for this brand of normative realism. (shrink)

Since the late 1980’s Kim has presented some major reasons to abandon SC. In MIAPW at least four of these reasons are offered: under SC we lose mental causation, mental realism and psychological explanations. Moreover, supervenience cannot do the job as the cementing relation in SC.

Aidan Lyon has recently argued that some mathematical explanations of empirical facts can be understood as program explanations. I present three objections to his argument.

We demonstrate how real progress can be made in the debate surrounding the enhanced indispensability argument. Drawing on a counterfactual theory of explanation, well-motivated independently of the debate, we provide a novel analysis of ‘explanatory generality’ and how mathematics is involved in its procurement. On our analysis, mathematics’ sole explanatory contribution to the procurement of explanatory generality is to make counterfactual information about physical dependencies easier to grasp and reason with for creatures like us. This gives precise content to key (...) intuitions traded in the debate, regarding mathematics’ procurement of explanatory generality, and adjudicates unambiguously in favour of the nominalist, at least as far as explanatory generality is concerned. (shrink)

Eclectic realism is defended against the criticism in Busch by clarifying its terminological and conceptual basis, and by comparing it with structural and semirealism.Keywords: Realism; Pessimistic induction; Augustin Jean Fresnel; Eclectic realism; Semi-realism.

Dualism holds that some mental events are fundamental and non-physical. I develop a prima facie plausible causal argument for dualism. The argument has several significant implications. First, it constitutes a new way of arguing for dualism. Second, it provides dualists with a parity response to causal arguments for physicalism. Third, it transforms the dialectical role of epiphenomenalism. Fourth, it refutes the view that causal considerations prima facie support physicalism but not dualism. After developing the causal argument for dualism and drawing (...) out these implications, I subject the argument to a battery of objections. Some prompt revisions to the argument. Others reveal limitations in scope. It falls out of the discussion that the causal argument for dualism is best used against physicalism as a keystone in a divide and conquer strategy. (shrink)

Orthodox physicalism has a problem with mental causation. If physics is complete and mental events are not identical to physical events (as multiple-realisation arguments imply) it seems as though there is no causal work for the mental to do. This paper examines some recent attempts to overcome this problem by analysing causation in terms of counterfactuals or conditional probabilities. It is argued that these solutions cannot simultaneously capture the force of the completeness of physics and make room for mental causation.

A popular approach in philosophy, the so-called Canberra Plan, is critically scrutinized. Two aspects of this research program, the formal and the informal program, are distinguished. It is argued that the formal program runs up against certain serious technical problems. It is also argued that the informal program involves an unclear leap at its core. Consequently, it is argued that the whole program is much more problematic than its advocates recognize.

An account of distinctively mathematical explanation (DME) should satisfy three desiderata: it should account for the modal import of some DMEs; it should distinguish uses of mathematics in explanation that are distinctively mathematical from those that are not (Baron [2016]); and it should also account for the directionality of DMEs (Craver and Povich [2017]). Baron’s (forthcoming) deductive-mathematical account, because it is modelled on the deductive-nomological account, is unlikely to satisfy these desiderata. I provide a counterfactual account of DME, the Narrow (...) Ontic Counterfactual Account (NOCA), that can satisfy all three desiderata. NOCA appeals to ontic considerations to account for explanatory asymmetry and ground the relevant counterfactuals. NOCA provides a unification of the causal and the non-causal, the ontic and the modal, by identifying a common core that all explanations share and in virtue of which they are explanatory. (shrink)

An important strand in philosophy of science takes scientific explanation to consist in the conveyance of some kind of information. Here I argue that this idea is also implicit in some core arguments of mechanists, some of whom are proponents of an ontic conception of explanation that might be thought inconsistent with it. However, informational accounts seem to conflict with some lay and scientific commonsense judgments and a central goal of the theory of explanation, because information is relative to the (...) background knowledge of agents. Sometimes we make lay judgments about whether a model is an explanation simpliciter, not just an explanation relative to some particular agent. And as philosophers of explanation, we would like a philosophical account to tell us when a model is an explanation simpliciter, not just when a model is an explanation relative to some particular agent. Thus, even if one’s account of explanation is not concerned with explanation qua communicative or speech act, the account’s reliance on the concept of information generates a prima facie conflict between the claims that 1) explanation is the conveyance of information, 2) information is relative to the background knowledge of an agent, and 3) some models are explanations not relative to the background knowledge of any particular agent. I sketch a solution to this puzzle by distinguishing informationally what I call “explanation simpliciter” from what I call “explanation-to,” relativizing the latter to an individual’s background knowledge and the former to what I call “total scientific background knowledge”. (shrink)

According to the received view in philosophy of mind, mental states or properties are _realized_ by brain states or properties but are not identical to them. This view is often called _realization_ _physicalism_. Carl Gillett has recently defended a detailed formulation of the realization relation. However, Gillett’s formulation cannot be the relation that realization physicalists have in mind. I argue that Gillett’s “dimensioned” view of realization fails to apply to a textbook case of realization. I also argue Gillett counts as (...) realization some cases that should not count if realization physicalism is to be distinguished from its competitors in the usual ways. I conclude that the relation described by Gillett cannot be realization. (shrink)

Identity theories are those that hold that 'sensations are brain processes'. In particular, they hold that mental/psychological state kinds are identical to brain/neuroscientific state kinds. In this paper, I isolate and explain some of the key features of contemporary identity theories. They are then contrasted with the main live alternatives by means of considering the two most important lines of objection to identity theories.

Some causal explanations are non-committal in that mention of a property in the explanans conveys information about the causal origin of the explanandum even if the property in question plays no causal role for the explanandum . Programme explanations are a variety of non-committal causal (NCC) explanations. Yet their interest is very limited since, as I will argue in this paper, their range of applicability is in fact quite narrow. However there is at least another variety of NCC explanations, causal (...) orientation explanations, which offer a plausible model for many explanations in the special sciences. (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)

If language is to serve the basic purpose of communicating our attitudes, we must be constructed so as to form beliefs in those propositions that we truthfully assert on the basis of careful assent. Thus, other things being equal, I can rely on believing those things to which I give my careful assent. And so my ability to assent or dissent amounts to an ability to make up my mind about what I believe. This capacity, in tandem with a similar (...) capacity in respect of other attitudes, supports three important lessons. It means that I can know what I believe by seeing what commands my assent, that I can put aside the possibility of error in committing myself to holding such a belief, and that I can therefore perform as a person: I can organize my mind around commitments to which others are invited to hold me. (shrink)

Deflationists about truth typically deny that truth is a causal-explanatory property. However, the now familiar 'success argument' attempts to show that truth plays an important causal-explanatory role in explanations of practical success. Deflationists have standardly responded that the truth predicate appears in such explanations merely as a logical device, and that therefore truth has not been shown to play a causal-explanatory role. I argue that if we accept Jackson and Pettit's account of causal explanations, the standard deflationist response is inconsistent, (...) for on this account even logical properties can be causally explanatory. Therefore the deflationist should remain neutral as to whether truth is a causal-explanatory property, and focus instead on the claim that truth, if it is a property, is a merely logical one. (shrink)

Alexander Miller has recently considered an ingenious extension of Frank Jackson and Philip Pettit's account of 'program explanation' as a way of defending non-reductive naturalist versions of moral realism against Harman's explanatory criticism. Despite the ingenuity of this extension, Miller concludes that program explanation cannot help such moral realists in their attempt to defend moral properties. Specifically, he argues that such moral program explanations are dispensable from an epistemically unlimited point of view. I show that Miller's argument for this negative (...) claim is inadequate, and that he has, in spite of himself, identified a promising defence of moral realism. (shrink)

This essay is concerned with concentrations of entities, which play an important—albeit often overlooked—role in scientific explanation. First, I discuss an example from molecular biology to show that concentrations can play an irreducible causal role. Second, I provide a preliminary philosophical analysis of this causal role, suggesting some implications for extant theories of causation. I conclude by introducing the concept of causation by concentration, a form of statistical causation whose widespread presence throughout the sciences has been unduly neglected and which (...) deserves to be studied in more depth. 1 Introduction2 Solving Lillie's Paradox: Lysogenic Induction in Phage λ3 Repressor Concentration and the Tuning of the Switch4 Concentration and Causality5 Preemption in Concentrations: Analysis and Implications6 Causation by Concentration: General Definition, Refinements, and Further Applications. (shrink)

In a series of insightful publications, Philip Pettit and Frank Jackson have argued for an explanatory ecumenism that is designed to justify a variety of types of social scientific explanation of different , including structural and rational choice explanations. Their arguments are put in terms of different kinds of explanatory information; the distinction between causal efficacy, causal relevance and explanatory relevance within their program model of explanation; and virtual reality and resilience explanation. The arguments are here assessed from the point (...) of view of the illumination they are able to cast on the issue of economics imperialism, the project of privileging rational choice as a unifying basis for explanations. While the Jackson–Pettit arguments turn out to be helpful in specifying some of the ontological and pragmatic constraints on economics imperialism, they are also shown to conflate distinct dimensions in the purported explanantia (such as small grain and particular grain, and the macro and the existentially quantified) and thereby to miss an important class of individualist causal process explanations of social phenomena. (shrink)

This paper argues that group attitudes can be assessed in terms of standards of rationality and that group-level rationality need not be due to individual-level rationality. But it also argues that groups cannot be collective epistemic agents and are not collectively responsible for collective irrationality. I show that we do not need the concept of collective epistemic agency to explain how group-level irrationality can arise. Group-level irrationality arises because even rational individuals can fail to reason about how their attitudes will (...) combine with those of others. In some cases they are morally responsible for this failure, in others they are not. Moreover, the argument for collective epistemic agency is incoherent because reasons-for-groups are ipso facto reasons-for-individual. Instead of talking about reasons-for-groups, we should therefore distinguish between self-regarding reasons and group-regarding reasons. Both kinds of reasons are reasons-for-individuals. These conceptual considerations in favour of moderate individualism are strengthened by an analysis of our moral practice of responding to collective shortfalls of rationality and by the unpalatable moral implications of collectivism about epistemic agency. There is no need to change the subject. Groups can be rational or irrational, but they do not reason. (shrink)

Physicalism ? or roughly the view that the stuff that physics talks about is all the stuff there is ? has had a popular press in philosophical circles during the twentieth century. And yet, at the same time, it has become quite fashionable lately to believe that the mind matters in this world after all and that psychology is an autonomous science irreducible to physics. However, if (true, downward) mental causation implies non-reducibility and Physicalism implies the converse, it is hard (...) to see how these two views could be compatible. This paper reviews some classical arguments purportedly showing how the autonomy of the special sciences can be upheld without violating the laws of physics or the principle that physics constitutes a complete and closed system. These arguments are presented in order of increasing strength, indicating how the more popular arguments in fact fall short of establishing anti-reductionism of the intended kind. New arguments are added which claim to demonstrate quite effectively how downward causation is possible compatibly with the reign of physics. The paper begins with a section which distinguishes various kinds of reductionism. (shrink)

To determine whether dispositions are causally relevant, we have to get clear about what causal relevance is. Several characteristics of causal relevance have been suggested, including Explanatory Power, Counterfactual Dependence, Lawfullness, Exclusion, Independence, and Minimal Sufficiency. Different accounts will yield different answers about the causal relevance of dispositions. However, accounts of causal relevance that are the most plausible, for independent reasons, render the verdict that dispositions are causally relevant.

The correspondence theory of truth is often thought to be supported by the intuition that if a proposition (sentence, belief) is true, then something makes it true. I argue that this appearance is illusory and is sustained only by a conflation of two distinct notions of truthmaking, existential and non-existential. Once the conflation is exposed, I maintain, deflationism is seen to be adequate for accommodating truthmaking intuitions.

The question of whether the idealized models of theoretical economics are explanatory has been the subject of intense philosophical debate. It is sometimes presupposed that either a model provides the actual explanation or it does not provide an explanation at all. Yet, two sets of issues are relevant to the evaluation of model-based explanation: what conditions should a model satisfy in order to count as explanatory and does the model satisfy those conditions. My aim in this paper is to unpack (...) this distinction and show that separating the first set of issues from the second is crucial to an accurate diagnosis of the distinctive challenges that economic models pose. Along the way I sketch a view of model-based explanation in economics that focuses on the role that non-empirical and empirical strategies play in increasing confidence in the adequacy of a given model-based explanation. (shrink)

Philosophers of the social sciences are increasingly convinced that macro-and micro-explanations are complementary. Whereas macro-explanations are broad, micro-explanations are deep. I distinguish between weak and strong complementarity: Strongly complementary explanations improve one another when integrated, weakly complementary explanations do not. To demonstrate the explanatory autonomy of different levels of explanation, explanatory pluralists mostly presuppose the weak form of complementarity. By scrutinizing the notions of explanatory depth and breadth, I argue that macro- and micro-accounts of the same phenomenon are more often (...) strongly complementary. This invites a revision of the pluralist position in which integration promotes explanatory progress. Key Words: explanatory pluralism • social science • explanatory depth • explanatory breadth • mechanism. (shrink)

Discussion of moral explanation has reached an impasse, with proponents of contemporary ethical naturalism upholding the explanatory integrity of moral facts and properties, and opponents--including both antirealists and non-naturalistic realists--insisting that such robustly explanatory pretensions as moral theory has be explained away. I propose that the key to solving the problem lies in the question whether instances of moral properties are causally efficacious. It is argued that, given the truth of contemporary ethical naturalism, moral properties are causally efficacious if the (...) properties of the special sciences are. (shrink)

Discussion of moral explanation has reached animpasse, with proponents of contemporaryethical naturalism upholding the explanatoryintegrity of moral facts and properties, andopponents – including both anti-realists andnon-naturalistic realists – insisting thatsuch robustly explanatory pretensions as moraltheory has be explained away. I propose thatthe key to solving the problem lies in thequestion whether instances of moral propertiesare causally efficacious. It is argued that,given the truth of contemporary ethicalnaturalism, moral properties are causallyefficacious if the properties of the specialsciences are. Certain objections are rebuttedinvolving (...) the nature of causation, on the onehand, and putative special features of themoral realm, on the other. (shrink)

A main thread of the debate over mathematical realism has come down to whether mathematics does explanatory work of its own in some of our best scientific explanations of empirical facts. Realists argue that it does; anti-realists argue that it doesn't. Part of this debate depends on how mathematics might be able to do explanatory work in an explanation. Everyone agrees that it's not enough that there merely be some mathematics in the explanation. Anti-realists claim there is nothing mathematics can (...) do to make an explanation mathematical ; realists think something can be done, but they are not clear about what that something is. I argue that many of the examples of mathematical explanations of empirical facts in the literature can be accounted for in terms of Jackson and Pettit's [1990] notion of program explanation, and that mathematical realists can use the notion of program explanation to support their realism. This is exactly what has happened in a recent thread of the debate over moral realism. I explain how the two debates are analogous and how moves that have been made in the moral realism debate can be made in the mathematical realism debate. However, I conclude that one can be a mathematical realist without having to be a moral realist. (shrink)

This paper argues that functionalist metasemantic views, such as Conceptual Role Semantics and Interpretivism, face a Euthyphro challenge. The challenge, put roughly, is this: functionalist metasemantic views reverse the order of explanation. According to such views, representational mental states have the contents that they do partly because they play certain roles in our mental lives. According to an intuitive picture of the roles that representational mental states play in our mental lives, however, these states play the roles they do partly (...) because they have the contents that they do. Since explanations—even partial ones—are asymmetric (call this principle ‘the Euthyphro Principle’), we can’t accept both this intuitive picture and a functionalist metasemantics. Hence, we should reject all versions of the latter. This paper can be seen as an attempt to better articulate an intuition that has been suggested in various forms in the literature. The paper proceeds as follows. First, it shows that functionalist metasemantic views imply certain ‘partly because’ claims. Second, it argues for the Euthyphro Principle. Third, it defends the intuitive picture of representational mental states and shows that it implies ‘partly because’ claims that conflict with those made by functionalist metasemantic views. Finally, it considers ways of relaxing the intuitive picture and finds them all wanting. (shrink)

The exclusion argument is widely thought to put considerable pressure on dualism, if not to refute it outright. We argue to the contrary that, whether or not their position is ultimately true, dualists have a plausible response. The response focuses on the notion of ‘distinctness’ that is employed to distinguish between mental and physical properties: if ‘distinctness’ is understood in one way, the exclusion principle on which the argument rests can be denied by the dualist; if it is understood in (...) another way, the argument is not persuasive. (shrink)

We offer a new argument for the claim that there can be non-degenerate objective chance (“true randomness”) in a deterministic world. Using a formal model of the relationship between different levels of description of a system, we show how objective chance at a higher level can coexist with its absence at a lower level. Unlike previous arguments for the level-specificity of chance, our argument shows, in a precise sense, that higher-level chance does not collapse into epistemic probability, despite higher-level properties (...) supervening on lower-level ones. We show that the distinction between objective chance and epistemic probability can be drawn, and operationalized, at every level of description. There is, therefore, not a single distinction between objective and epistemic probability, but a family of such distinctions. (shrink)

The ‘indispensability argument’ for the existence of mathematical objects appeals to the role mathematics plays in science. In a series of publications, Joseph Melia has offered a distinctive reply to the indispensability argument. The purpose of this paper is to clarify Melia’s response to the indispensability argument and to advise Melia and his critics on how best to carry forward the debate. We will begin by presenting Melia’s response and diagnosing some recent misunderstandings of it. Then we will discuss four (...) avenues for replying to Melia. We will argue that the three replies pursued in the literature so far are unpromising. We will then propose one new reply that is much more powerful, and—in the light of this—advise participants in the debate where to focus their energies. (shrink)

I argue that high level causal relationships are often more fundamental than low level causal relationships. My argument is based on some general principles governing when one causal relationship will metaphysically ground another—a phenomenon I term derivative causation. These principles are in turn based partly on our intuitive judgments concerning derivative causation in a series of representative examples, and partly on some powerful theoretical considerations in their favour. I show how these principles entail that low level causation can derive from (...) high level causation, and in particular that neural causation can derive from mental causation. I then draw out several important consequences of this result. Most immediate among these are the implications the result has for aspirations to reduce high level causation to its low level counterpart. But the result also bears on the possibility of downward causation, the relationship between counterfactuals and causation, and the idea—familiar from both the literature on the exclusion problem and the literature on proportionality constraints on causation—that causal relationships at different levels compete for their existence. (shrink)

Certain scientific explanations of physical facts have recently been characterized as distinctively mathematical –that is, as mathematical in a different way from ordinary explanations that employ mathematics. This article identifies what it is that makes some scientific explanations distinctively mathematical and how such explanations work. These explanations are non-causal, but this does not mean that they fail to cite the explanandum’s causes, that they abstract away from detailed causal histories, or that they cite no natural laws. Rather, in these explanations, (...) the facts doing the explaining are modally stronger than ordinary causal laws or are understood in the why question’s context to be constitutive of the physical arrangement at issue. A distinctively mathematical explanation works by showing the explanandum to be more necessary than ordinary causal laws could render it. Distinctively mathematical explanations thus supply a kind of understanding that causal explanations cannot. 1 Introduction2 Some Distinctively Mathematical Scientific Explanations3 Are Distinctively Mathematical Explanations Set Apart by their Failure to Cite Causes? 4 Distinctively Mathematical Explanations do not Exploit Causal Powers5 How these Distinctively Mathematical Explanations Work6 Conclusion. (shrink)

The articles examines the teleofunctional solution to the problem of mental causation, presented by Dmitry Volkov in his recently published book Free Will. An Illusion or an Opportunity. D.B. Volkov proposes solutions to three big metaphysical problems – mental causation, personal identity, and free will. Solving the first problem, Volkov creatively combines the advantages of Dennett’s teleofunctional model and Vasilyev’s local interactionism. Volkov’s teleofunctional model of mental causation seeks to prove the causal relevance of mental properties as non-local higher order (...) properties. In my view, its substantiation is based on three points: (a) critics of the exclusion problem and Kim’s model of mental causation, (b) “Library of first editions” argument, (c) reduction of the causal trajectories argument (CTA 1) by Vasilyev to the counterpart argument (CTA 2) by Volkov. Each of these points faces objections. Kim’s criticism is based on an implicit confusion of two types of reduction – reduction from supervenience and from multiple realizability. The latter type does not threaten Kim’s ideas, but Volkov uses this very type in his criticism. The “Library of first editions” argument does not achieve its goal due to compositional features and because non-local relational properties are a type of external properties that cannot be causally relevant. The reduction of CTA 1 to CTA 2 is unsuccessful since, in the case of this reduction, important features of CTA 1 are lost – these are local mental properties, due to which the influence of non-local physical factors occurs. My main objection is that the concept of causally relevant non-local properties is incompatible with the very concept of cause. The set of causally relevant properties of cause can only be local. (shrink)

Although mathematical philosophy is flourishing today, it remains subject to criticism, especially from non-analytical philosophers. The main concern is that even if formal tools serve to clarify reasoning, they themselves contribute nothing new or relevant to philosophy. We defend mathematical philosophy against such concerns here by appealing to its metaphysical foundations. Our thesis is that mathematical philosophy can be founded on the phenomenological theory of ideas as developed by Roman Ingarden. From this platonist perspective, the “unreasonable effectiveness of mathematics in (...) philosophy”—to adapt Wigner’s phrase—is analogous to that of mathematical explanations in science. As success-criteria for mathematical philosophy, we propose that it should be correct, responsive, illuminating, promising, relevant, and adequate. (shrink)

Supervenience is necessary co-variation between two sets of entities. In the good old days, supervenience was considered a useful philosophical tool with a wide range of applications in the philosophy of mind, metaethics, epistemology, and elsewhere. In recent years, however, supervenience has fallen out of favor, giving place to grounding, realization, and other, more metaphysically “meaty”, notions. The emerging consensus is that there are principled reasons for which explanatory theses cannot be captured in terms of supervenience, or as the slogan (...) goes: “Supervenience Is Nonexplanatory”. While SIN is widely endorsed, it is far from clear what it amounts to and why we should believe it. In this paper, I will distinguish various theses that could be meant by it, and will argue that none of them is both interesting and plausible: on some interpretations of ‘explanatory’, we have no reason to believe that supervenience is unexplanatory, while on other interpretations, supervenience is indeed unexplanatory, but widely accepted textbook cases of explanatory relations come out as unexplanatory, too. This result raises doubts as to whether there is any interesting sense in which SIN is true, and suggests that the contemporary consensus about supervenience is mistaken. (shrink)

In the last 20 years or so, since the publication of a seminal paper by Watts and Strogatz :440–442, 1998), an interest in topological explanations has spread like a wild fire over many areas of science, e.g. ecology, evolutionary biology, medicine, and cognitive neuroscience. The topological approach is still very young by all standards, and even within special sciences it still doesn’t have a single methodological programme that is applicable across all areas of science. That is why this special issue (...) is important as a first systematic philosophical study of topological explanations and their relation to a well understood and widespread explanatory strategy, such as mechanistic one. (shrink)

Some scientific explanations appear to turn on pure mathematical claims. The enhanced indispensability argument appeals to these ‘mathematical explanations’ in support of mathematical platonism. I argue that the success of this argument rests on the claim that mathematical explanations locate pure mathematical facts on which their physical explananda depend, and that any account of mathematical explanation that supports this claim fails to provide an adequate understanding of mathematical explanation.

Heavy duty platonism is of great dialectical importance in the philosophy of mathematics. It is the view that physical magnitudes, such as mass and temperature, are cases of physical objects being related to numbers. Many theorists have assumed HDP’s falsity in order to reach their own conclusions, but they are only justified in doing so if there are good arguments against HDP. In this paper, I present all five arguments against HDP alluded to in the literature and show that they (...) all fail. In doing so, I establish two related truths: HDP has been unfairly ignored, and the arguments which take its falsity as a key premise should be re-assessed. (shrink)

Consciousness supervenes on activity; computation supervenes on structure. Because of this, some argue, conscious states cannot supervene on computational ones. If true, this would present serious difficulties for computationalist analyses of consciousness (or, indeed, of any domain with properties that supervene on actual activity). I argue that the computationalist can avoid the Superfluous Structure Problem (SSP) by moving to a dispositional theory of implementation. On a dispositional theory, the activity of computation depends entirely on changes in the intrinsic properties of (...) implementing material. As extraneous structure is not required for computation, a system can implement a program running on some but not all possible inputs. Dispositional computationalism thus permits episodes of computational activity that correspond to potential episodes of conscious awareness. The SSP cannot be motivated against this account, and so computationalism may be preserved. (shrink)

Proponents of various causal exclusion arguments claim that for any given event, there is often a unique level of granularity at which that event is caused. Against these causal exclusion arguments, causal ecumenists argue that the same event or phenomenon can be caused at multiple levels of granularity. This paper argues that the Bayesian network approach to representing the causal structure of target systems is consistent with causal ecumenism. Given the ubiquity of Bayesian networks as a tool for representing causal (...) structure in both philosophy of science and science itself, this result speaks in favor of the ecumenical view, and against rival exclusionary accounts. Gebharter’s (Philos Phenomenol Res 95(2):353–375, 2017) argument that the Bayes nets formalism is consistent with causal exclusion is considered and rebutted. (shrink)