Grounding and the indispensability argument

There has been much discussion of the indispensability argument for the existence of mathematical objects. In this paper I reconsider the debate by using the notion of grounding, or non-causal dependence. First of all, I investigate what proponents of the indispensability argument should say about the grounding of relations between physical objects and mathematical ones. This reveals some resources which nominalists are entitled to use. Making use of these resources, I present a neglected but promising response to the indispensability argument—a liberalized version of Field’s response—and I discuss its significance. I argue that if it succeeds, it provides a new refutation of the indispensability argument; and that, even if it fails, its failure may bolster some of the fictionalist responses to the indispensability argument already under discussion. In addition, I use grounding to reply to a recent challenge to these responses.     

Foreknowledge,accidental necessity,and uncausability

Foreknowledge arguments attempt to show that infallible and exhaustive foreknowledge is incompatible with creaturely freedom. One particularly powerful foreknowledge argument employs the concept of accidental necessity. But an opponent of this argument might challenge it precisely because it employs the concept of accidental necessity. Indeed, Merricks (Philos Rev 118:29–57, 2009, Philos Rev 120:567–586, 2011a) and Zagzebski (Faith Philos 19(4):503–519, 2002, Stanford Encyclopedia of Philosophy, 2011) have each written favorably of such a response. In this paper, I aim to show that responding to the accidental necessity version of the foreknowledge argument by disputing the concept of accidental necessity, including doing so in the ways these authors do, does not constitute a successful response to the foreknowledge argument. This is because there is an only slightly modified but still well-motivated version of the foreknowledge argument which employs the notion of uncausability rather than accidental necessity; and this argument is not threatened by objections to the concept of accidental necessity, including those objections offered by Zagzebski and Merricks. As recent literature on the foreknowledge argument has emphasized, when a response to a foreknowledge argument fails to threaten an only slightly modified but still well-motivated version of that argument, the response in question is not successful. So the responses to the accidental necessity version of the foreknowledge argument I have mentioned are not successful. Moreover, those working on foreknowledge arguments more generally should take seriously the uncausability version of the foreknowledge argument articulated here, as it may well be that still more responses to the foreknowledge argument will not threaten it, either.     

Kim Against Dualism

This paper presents and evaluates Jaegwon Kim’s recent argument against substance dualism. The argument runs as follows. Causal interaction between two entities requires pairing relations. Pairing relations are spatial relations, such as distance and orientation. Souls are supposedly nonspatial, immaterial substances. So it is hard to see how souls could enter into paired causal relations with material substances. I show that Kim’s argument against dualism fails. I conclude by sketching a way the substance dualist could meet Kim’s central challenge of explaining how souls and bodies are uniquely paired, allowing for them to enter into specific causal relationships, forming a singular soul–body unit. “Thanks to Neal Judisch, Dean Zimmerman, Max Goss, Robert O’Connor, John Heil, Sloan Lee, Daniel Howard-Snyder, Carl Ginet, and Deborah Smith for helpful comments. Thanks also to the audience at the Ohio Philosophical Association Annual Meeting 2004 for helpful comments and suggestions.”     

Concepts,Attention, and Perception

Abstract

According to the conceptualist view in the philosophy of perception, we must possess concepts for all the objects, properties and relations which feature in our perceptual experiences. In this paper, I investigate the possibility of developing an argument against the conceptualist view by appealing to the notion of attention.

In Part One, I begin by setting out an apparently promising version of such an argument, a version which appeals to a link between attention and perceptual demonstrative concept possession. In Part Two, however, I show how the conceptualist can challenge what appears to be the key premise of the argument, and I go on to describe, in Part Three, an important further difficulty which we face if we attempt to overcome this challenge in a particular way. My conclusion will be that the conceptualist's challenge to the argument is convincing and hence that the argument remains inconclusive.     

Functional Concepts,Referentially Opaque Contexts,Causal Relations,and the Definition of Theoretical Terms

In his recent article, ``Self-Consciousness', George Bealer has set outa novel and interesting argument against functionalism in the philosophyof mind. I shall attempt to show, however, that Bealer's argument cannotbe sustained.In arguing for this conclusion, I shall be defending three main theses.The first is connected with the problem of defining theoreticalpredicates that occur in theories where the following two features arepresent: first, the theoretical predicate in question occurswithin both extensional and non-extensional contexts; secondly, thetheory in question asserts that the relevant theoretical states enterinto causal relations. What I shall argue is that a Ramsey-styleapproach to the definition of such theoretical terms requires twodistinct quantifiers: one which ranges over concepts, and theother which ranges over properties in the world.My second thesis is a corollary: since the theories on whichBealer is focusing have both of the features just mentioned, and sincethe method that he employs to define theoretical terms in his argumentagainst functionalism does not involve both quantifiers that range overproperties and quantifiers that range over concepts, that method isunsound.My final thesis is that when a sound method is used, Bealer's argumentagainst functionalism no longer goes through.The structure of my discussion is as follows. I begin by setting out twoarguments – the one, a condensed version of Bealer's argument, andthe other, an argument that parallels Bealer's argument very closely.The parallel argument leads to a conclusion, however, that, rather thanbeing merely somewhat surprising, seems very implausible indeed. Forwhat the second argument establishes, if sound, is that there can betheoretical terms that apply to objects by virtue of their first-orderphysical properties, but whose meaning cannot be defined via aRamsey-style approach.Having set out the two parallel arguments, I then go on to focus uponthe second, to determine what is wrong with it. My diagnosis will bethat the problem with the argument arises from the fact that it involvesdefining a theoretical term that occurs both inside and outside ofopaque contexts, for the method employed fails to take into account thefact that the types of entities that are involved in the relevanttruthmakers are different when a sentence occurs within an extensionalcontext from those involved when a sentence occurs within anon-extensional context.I then go on to discuss how one should define a theoretical term thatoccurs within such theories, and I argue that in such a case one needstwo quantifiers, ranging over different types of entities – on theone hand, over properties and relations, and the other, over concepts. Ithen show that, when such an approach is followed, the argument inquestion collapses.I then turn to Bealer's argument against functionalism, and I show,first, that precisely the same method of defining theoretical terms canbe applied there, and, secondly, that, when this is done, it turns outthat that argument is also unsound.Next, I consider two responses that Bealer might make to my argument,and I argue that those responses would not succeed.Finally, I conclude by asking exactly where the problem lies in the caseof Bealer's argument. My answer will be that it is not simply the factthat one is dealing with a theoretical term that occurs in bothextensional and non-extensional contexts. It is rather the combinationof that feature together with the fact that the theory in questionasserts that the relevant type of theoretical state enters into causalrelations. For the first of these features means that the Ramseysentence for the theory must involve quantification over concepts, whilethe presence of the second feature means that the Ramsey sentence mustinvolve quantification over properties in the world, and so no attemptto offer a Ramsey-style account of the meaning of the relevanttheoretical term can succeed unless one employs both quantification overconcepts and quantification over properties. Bealer, however, in hisargument against functionalism, uses a method of defining theoreticalterms that does not involve both types of quantification, and it isprecisely because of this that his argument does not in the end succeed.     

Externalism,Slow Switching and Privileged Self‐Knowledge1

Recent discussions of externalism about mental content have been dominated by the question whether it undermines the intuitively plausible idea that we have knowledge of the contents of our thoughts. In this article I focus on one main line of reasoning (the so‐called ‘slow switching argument’) for the thesis that externalism and self‐knowledge are incompatible. After criticizing a number of influential responses to the argument, I set out to explain why it fails. It will be claimed that the argument trades on an ambiguity, and that only by incorporating certain controversial assumptions does it stand a chance of establishing its conclusion. Finally, drawing on an analogy with Benacerraf's challenge to Platonism, I shall offer some reasons as to why the slow switching argument fails to reveal the real source of tension between externalism and privileged self‐knowledge.     

Global Public Reason,Diversity, and Consent

Abstract

In this paper, I examine global public reason as a method of justifying a global state. Ultimately, I conclude that global public reason fails to justify a global state. This is the case, because global public reason faces an unwinnable dilemma. The global public reason theorist must endorse either a hypothetical theory of consent or an actual theory of consent; if she endorses a theory of hypothetical consent, then she fails to justify her principles; and if she endorses a theory of actual consent, her theory will lead to a highly unstable political system. On either side of the dilemma, global public reason faces untenable implications. Although similar criticisms have been advanced against domestic public reason, my argument is not repeating points made before me. My argument is new, in that it raises these objections specifically against global public reason, and in that it shows how, due to increased diversity of belief in the global arena, these problems are more pressing for global public reason than they are for domestic public reason.     

Argument Quality and Cultural Difference

Central to argumentation theory is a concern with normativity. Argumentation theorists are concerned, among other things, with explaining why some arguments are good (or at least better than others) in the sense that a given argument provides reasons for embracing its conclusion which are such that a fair- minded appraisal of the argument yields the judgment that the conclusion ought to be accepted -- is worthy of acceptance -- by all who so appraise it.This conception of argument quality presupposes that the goodness of arguments is characterizable in terms of features of the argument itself. It makes no reference either to the attributes of the persons appraising the argument and judging its normative force, or to the context in which that appraisal is carried out. But recent work by a wide range of philosophers, argumentation theorists, and social theorists rejects such an abstract, impersonal notion of argument goodness. Instead, these theorists insist upon taking seriously, in the evaluation of arguments, the features of the evaluators themselves. In particular, such theorists emphasize the importance of cultural difference in argument appraisal. Often locating themselves under the banner of multiculturalism, they argue that the quality of an argument depends upon culturally-specific beliefs, values, and presuppositions; that an argument may be of high quality in one cultural context but of low quality in another. Consequently, they contend, no abstract, impersonal characterization of argument quality can succeed.In this paper I consider this multiculturalist approach to argument quality. I argue that while there is much merit in the general multiculturalist perspective, the multiculturalist argument against impersonal conceptions of argument quality fails. It fails for several reasons detailed below; most fundamentally, it fails because it itself presupposes just the kind of impersonal account of argument quality it seeks to reject. I call this presupposition that of transcultural normative reach. I identify this presupposition in the multiculturalist argument, and show how it undercuts the multiculturalist challenge to abstract, impersonal, transcultural conceptions of argument quality. I conclude with an evaluation of the strengths, and weaknesses, of the multiculturalist challenge to such conceptions of argument quality.     

Causal Overdetermination and Kim’s Exclusion Argument

Jaegwon Kim’s influential exclusion argument attempts to demonstrate the inconsistency of nonreductive materialism in the philosophy of mind. Kim’s argument begins by showing that the three main theses of nonreductive materialism, plus two additional considerations, lead to a specific and (by now) familiar picture of mental causation. The exclusion argument can succeed only if, as Kim claims, this picture is not one of genuine causal overdetermination. Accordingly, one can resist Kim’s conclusion by denying this claim, maintaining instead that the effects of the mental are always causally overdetermined. I call this strategy the ‘overdetermination challenge’. One of the main aims of this paper is to show that the overdetermination challenge is the most appropriate response to Kim’s exclusion argument, at least in its latest form. I argue that Kim fails to adequately respond to the overdetermination challenge, thus failing to prevent his opponents from reasonably maintaining that the effects of the mental are always causally overdetermined. Interestingly, this discussion reveals a curious dialectical feature of Kim’s latest response to the overdetermination challenge: if it succeeds, then a new, simpler and more compact version of the exclusion argument is available. While I argue against the consequent of this conditional, thereby also rejecting the antecedent, this dialectical feature should be of interest to philosophers on either side of this debate.     

Eliminativism, interventionism and the Overdetermination Argument

In trying to establish the view that there are no non-living macrophysical objects, Trenton Merricks has produced an influential argument—the Overdetermination Argument—against the causal efficacy of composite objects. A serious problem for the Overdetermination Argument is the ambiguity in the notion of overdetermination that is being employed, which is due to the fact that Merricks does not provide any theory of causation to support his claims. Once we adopt a plausible theory of causation, viz. interventionism, problems with the Overdetermination will become evident. After laying out the Overdetermination Argument and examining one extant objection to it, I will explicate the relevant aspects of an interventionist theory of causation and provide a characterization of overdetermination that follows from such an account. From this, I will argue that the Causal Principle that undergirds the Overdetermination Argument is false and hence the argument is invalid; and I claim that the only other available characterization of overdetermination would render a key premise in the argument false. Thus, the Overdetermination Argument fails to provide us with any reason to deny the causal efficacy of macrophysical objects, and therefore provides no reason to doubt their existence.     

Extended simples

I argue that extended simples are possible. The argument given here parallels an argument given elsewhere for the claim that the shape properties of material objects are extrinsic, not intrinsic as is commonly supposed. In the final section of the paper, I show that if the shape properties of material objects are extrinsic, the most popular argument against extended simples fails.     

Can Interventionists Be Neo-Russellians? Interventionism,the Open Systems Argument,and the Arrow of Entropy

Several proponents of the interventionist theory of causation have recently argued for a neo-Russellian account of causation. The article discusses two strategies for interventionists to be neo-Russellians. First, I argue that the open systems argument—the main argument for a neo-Russellian account advocated by interventionists—fails. Second, I explore and discuss an alternative for interventionists who wish to be neo-Russellians: the statistical–mechanical account. Although the latter account is an attractive alternative, it is argued that interventionists are not able to adopt it straightforwardly. Hence, to be neo-Russellians remains a challenge for interventionists.     

Universalism,Vagueness and Supersubstantivalism

Sider has a favourable view of supersubstantivalism (the thesis that all material objects are identical to the regions of spacetime that they occupy). This paper argues that given supersubstantivalism, Sider's argument from vagueness for (mereological) universalism fails. I present Sider's vagueness argument (§§II–III), and explain why – given supersubstantivalism – some but not all regions must be concrete in order for the argument to work (§IV). Given this restriction on what regions can be concrete, I give a reductio of Sider's argument (§V). I conclude with some brief comments on why this is not simply an ad hominem against Sider, and why this incompatibility of supersubstantivalism with the argument from vagueness is of broader interest (§VI).     

Interactionism and Physicality

Substance-dualist interactionism faces two sorts of challenge. One is empirical, involving the alleged incompatibility between interactionism and the supposed closure of the physical world. Although widely considered successful, this challenge gives no reason for preferring materialism to dualism. The other sort of challenge holds that interactionism is conceptually impossible. The historically influential version of the conceptual challenge is now discredited, but recent discussions by Chomsky and by Crane and Mellor suggest a new version. In brief, the argument is that anything that interacts causally with physical things would have to be sanctioned by physics,and anything sanctioned by physics is ipso facto (as a matter of conceptual necessity) physical. I focus on the second premise. I show that plausible arguments for it are in fact fallacious and that counterexamples undermine it. Thus the argument fails: substance-dualist interactionism cannot be ruled out on conceptual grounds alone.     

Kant's Argument that Existence is not a Determination

In this paper, I examine Kant's famous objection to the ontological argument: existence is not a determination. Previous commentators have not adequately explained what this claim means, how it undermines the ontological argument, or how Kant argues for it. I argue that the claim that existence is not a determination means that it is not possible for there to be non‐existent objects; necessarily, there are only existent objects. I argue further that Kant's target is not merely ontological arguments as such but the larger ‘ontotheist’ metaphysics they presuppose: the view that God necessarily exists in virtue of his essence being contained in, or logically entailed by, his essence. I show that the ontotheist explanation of divine necessity requires the assumption that existence is a determination, and I show that Descartes and Leibniz are implicitly committed to this in their published versions of the ontological argument. I consider the philosophical motivations for the claim that existence is a determination and then I examine Kant's arguments in the Critique of Pure Reason against it.     

Cogency,Warrant Transmission‐Increase and non‐Ideal Thinkers

Contemporary debates concerning warrant transmission take for granted this thesis: when warrant transmission fails the argument fails. I challenge this thesis. An argument with conclusion C, addressed to subject S, can be cogent in the sense that recognition that the premises entail (or make highly likely) C can rationally foster in S the belief in C, without the warrant for C necessarily being gained (or reinforced) by such recognition. A key idea is to accept that some arguments should be understood in a way that involves the abandonment of two characteristic idealizations imposed on rational thinkers by Bayesian modelling.     

Infinite Value and the Best of All Possible Worlds

A common argument for atheism runs as follows: God would not create a world worse than other worlds he could have created instead. However, if God exists, he could have created a better world than this one. Therefore, God does not exist. In this paper I challenge the second premise of this argument. I argue that if God exists, our world will continue without end, with God continuing to create value‐bearers, and sustaining and perfecting the value‐bearers he has already created. Given this, if God exists, our world—considered on the whole—is infinitely valuable. I further contend that this theistic picture makes our world's value unsurpassable. In support of this contention, I consider proposals for how infinitely valuable worlds might be improved upon, focusing on two main ways—adding value‐bearers and increasing the value in present value‐bearers. I argue that neither of these can improve our world. Depending on how each method is understood, either it would not improve our world, or our world is unsurpassable with respect to it. I conclude by considering the implications of my argument for the problem of evil more generally conceived.     

Lewis,Change and Temporary Intrinsics

This is an attempt to sort out what is it that makes many of us uncomfortable with the perdurantist solution to the problem of change. Lewis argues that only perdurantism can reconcile change with persistence over time, while neither presentism nor endurantism can. So, first, I defend the endurantist solution to the problem of change, by arguing that what is relative to time are not properties, but their possession. Second, I explore the anti-perdurantist strategy of arguing that Lewis cannot solve the problem of change, for he cannot account for how some properties are possessed by objects in time. However, I argue that this strategy fails, for if by saying that objects in time can have properties ‘timelessly’ we mean “at no particular time” and “tenselessly”, only objects outside time can have properties in that way; but if we mean “for all the time they exist”, or “essentially”, perdurantists can account for this. Finally, I argue that actually perdurantism cannot solve the problem, but for different reasons: for either it sweeps the problem under the carpet, denying change, and in general subverting our conceptual scheme in a dangerous way, or it becomes equivalent to the endurantist picture that properties are had at times. Nor perdurantism is justified by the Relativity Theory or the B-theory of time, because while endurantism is certainly comfortable with presentism, it need not be committed to it; and even if it were, presentism need not be refuted by the Relativity Theory.     

THE ONTOLOGICAL ARGUMENT AND THE DEVIL

The 'parody objection' to the ontological argument for the existence of God advances parallel arguments apparently proving the existence of various absurd entities. I discuss recent versions of the parody objection concerning the existence of 'AntiGod' and the devil, as introduced by Peter Millican and Timothy Chambers. I argue that the parody objection always fails, because any parody is either (i) not structurally parallel to the ontological argument, or (ii) not dialectically parallel to the ontological argument. Moreover, once a parody argument is modified in such a way that it avoids (i) and (ii), it is, ironically, no longer a parody – it is the ontological argument itself.