Mark Balaguer

Let libertarianism be the view that humans are capable of making decisions that are simultaneously undetermined and appropriately non-random. It’s often argued that this view is incoherent because indeterminacy entails randomness (of some appropriate kind). I argue here that the truth is just the opposite: the right kind of indeterminacy in our decisions actually entails appropriate non-randomness, so that libertarianism is coherent, and the question of whether it’s true reduces to the wide-open empirical question of whether certain of our decisions (which I characterize here) are undetermined at the moment of choice. Moreover, the version of libertarianism developed here is entirely naturalistic and event-causal.

I argue in this paper that the debate over composition is factually empty; in other words, I argue that there’s no fact of the matter whether there are any composite objects like tables and rocks and cats. Moreover, at the end of the paper, I explain how my argument is suggestive of a much more general conclusion, namely, that there’s no fact of the matter whether there are any material objects at all. Roughly speaking, the paper proceeds by arguing that if there were a fact of the matter about whether composite objects exist, then it would be either a necessary fact or a contingent fact, and both of these alternatives are implausible.

This book does three main things. First, it defends mathematical platonism against the main objections to that view (most notably, the epistemological objection and the multiple-reductions objection). Second, it defends anti-platonism (in particular, fictionalism) against the main objections to that view (most notably, the Quine-Putnam indispensability objection and the objection from objectivity). Third, it argues that there is no fact of the matter whether abstract mathematical objects exist and, hence, no fact of the matter whether platonism or anti-platonism is true.

This dissertation provides a refutation of the epistemological argument against mathematical platonism; that is, it provides an epistemology of abstract objects, in particular, of mathematical objects. ;After an introductory first chapter, I formulate what I argue is the strongest version of the epistemological argument against platonism. It is stronger than Paul Benacerraf's version because the only plausible way for a platonist to respond to it is to actually provide an epistemology of mathematical objects. ;In chapters three and four, I argue against the platonist epistemologies of Kurt Godel and Penelope Maddy, respectively. The main conclusion of these two chapters is that human beings cannot come into contact with mathematical objects, and that, indeed, it may not even by intelligible to speak in these terms, i.e., to speak of contact between spatio-temporal creatures like ourselves and an aspatial, atemporal mathematical realm. ;In chapter five, I argue that human beings don't need any contact with the mathematical realm in order to attain knowledge of that realm. The argument is based upon the fact that mathematical truths are necessarily true. ;Finally, in chapter six, I develop a second platonist epistemology, i.e., a second refutation of the epistemological argument against platonism. The argument is mostly original, but it relies at one point upon an argument of Michael Resnik's. In a nutshell, my argument is that, since platonists are free to adopt a full-blooded sort of platonism it is easy to explain how human beings could attain knowledge of the mathematical realm. For if all possible mathematical objects exist, then any consistent mathematical theory will accurately describe some collection of mathematical objects. Hence, to attain knowledge of the mathematical realm, one must simply formulate a consistent set of mathematical beliefs.

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Let libertarianism be the view that humans are capable of making decisions that are simultaneously undetermined and appropriately non-random. It’s often argued that this view is incoherent because indeterminacy entails randomness (of some appropriate kind). I argue here that the truth is just the opposite: the right kind of indeterminacy in our decisions actually entails appropriate non-randomness, so that libertarianism is coherent, and the question of whether it’s true reduces to the wide-open empirical question of whether certain of our decisions (which I characterize here) are undetermined at the moment of choice. Moreover, the version of libertarianism developed here is entirely naturalistic and event-causal.

It is argued here that the question of whether compatibilism is true is irrelevant to metaphysical questions about the nature of human decision‐making processes—for example, the question of whether or not humans have free will—except in a very trivial and metaphysically uninteresting way. In addition, it is argued that two other questions—namely, the conceptual‐analysis question of what free will is and the question that asks which kinds of freedom are required for moral responsibility—are also essentially irrelevant to metaphysical questions about the nature of human beings.

Platonism is the view that there exist such things as abstract objects — where an abstract object is an object that does not exist in space or time and which is therefore entirely non-physical and nonmental. Platonism in this sense is a contemporary view. It is obviously related to the views of Plato in important ways, but it is not entirely clear that Plato endorsed this view, as it is defined here. In order to remain neutral on this question, the term ‘platonism’ is spelled with a lower-case ‘p’. (See entry on Plato.) The most important figure in the development of modern platonism is Gottlob Frege (1884, 1892, 1893-1903, 1919). The view has also been endorsed by many others, including Kurt Gödel (1964), Bertrand Russell (1912), and W.V.O. Quine (1948, 1951)

In our daily life, it really _seems_ as though we have free will, that what we do from moment to moment is determined by conscious decisions that we freely make. You get up from the couch, you go for a walk, you eat chocolate ice cream. It seems that we're in control of actions like these; if we are, then we have free will. But in recent years, some have argued that free will is an illusion. The neuroscientist (and best-selling author) Sam Harris and the late Harvard psychologist Daniel Wegner, for example, claim that certain scientific findings disprove free will. In this engaging and accessible volume in the Essential Knowledge series, the philosopher Mark Balaguer examines the various arguments and experiments that have been cited to support the claim that human beings don't have free will. He finds them to be overstated and misguided. Balaguer discusses determinism, the view that every physical event is predetermined, or completely caused by prior events. He describes several philosophical and scientific arguments against free will, including one based on Benjamin Libet's famous neuroscientific experiments, which allegedly show that our conscious decisions are caused by neural events that occur before we choose. He considers various religious and philosophical views, including the philosophical pro-free-will view known as compatibilism. Balaguer concludes that the anti-free-will arguments put forward by philosophers, psychologists, and neuroscientists simply don't work. They don't provide any good reason to doubt the existence of free will. But, he cautions, this doesn't necessarily mean that we have free will. The question of whether we have free will remains an open one; we simply don't know enough about the brain to answer it definitively.

The paradox of analysis asks how a putative conceptual analysis can be both true and informative. If it is true then isn’t it analytic? And if it is analytic then how can it be informative? Our proposed solution rests on a distinction between explicit knowledge of meaning and implicit knowledge of meaning and on a correlative distinction between two kinds of conceptual competence. If one initially possesses only implicit knowledge of the meaning of a given concept and the associated linguistic expression, then a conceptual analysis can be both analytic and informative.

It is argued here that there is no fact of the matter between direct reference theory and neo-Fregeanism. To get a more precise idea of the central thesis of this paper, consider the following two claims: (i) While direct reference theory and neo-Fregeanism can be developed in numerous ways, they can be developed in essentially parallel ways; that is, for any (plausible) way of developing direct reference theory, there is an essentially parallel way of developing neo-Fregeanism, and vice versa. And (ii) for each such pair of theories, there is no fact of the matter as to which of them is superior; or more precisely, they are tied in terms of factual accuracy. These are sweeping claims that cannot be fully justified in a single paper. But arguments are given here that motivate these theses, i.e., that suggest that they are very likely true.

A number of philosophers have argued in recent years that certain kinds of metaphysical debates—e.g., debates over the existence of past and future objects, mereological sums, and coincident objects—are merely verbal. It is argued in this paper that metaphysical debates are not merely verbal. The paper proceeds by uncovering and describing a pattern that can be found in a very wide range of philosophical problems and then explaining how, in connection with any problem of this general kind, there is always a non-verbal debate to be had. Indeed, the paper provides a recipe for locating the non-verbal debates that surround these philosophical problems. This undermines metametaphysical verbalist views of our metaphysical questions—i.e., views that say that there is no non-verbal debate to be had about some metaphysical question. Finally, the paper also provides a quick argument against actual-literature verbalist views of our metaphysical questions; in other words, the paper argues that in connection with all of our metaphysical questions, it is easy to find examples of non-verbal debates in the actual philosophical literature.

In this largely antimetaphysical treatment of free will and determinism, Mark Balaguer argues that the philosophical problem of free will boils down to an open scientific question about the causal histories of certain kinds of neural events. In the course of his argument, Balaguer provides a naturalistic defense of the libertarian view of free will. The metaphysical component of the problem of free will, Balaguer argues, essentially boils down to the question of whether humans possess libertarian free will. Furthermore, he argues that, contrary to the traditional wisdom, the libertarian question reduces to a question about indeterminacy--in particular, to a straightforward empirical question about whether certain neural events in our heads are causally undetermined in a certain specific way; in other words, Balaguer argues that the right kind of indeterminacy would bring with it all of the other requirements for libertarian free will. Finally, he argues that because there is no good evidence as to whether or not the relevant neural events are undetermined in the way that's required, the question of whether human beings possess libertarian free will is a wide-open empirical question.

A theory of objective mathematical correctness is developed. The theory is consistent with both mathematical realism and mathematical anti-realism, and versions of realism and anti-realism are developed that dovetail with the theory of correctness. It is argued that these are the best versions of realism and anti-realism and that the theory of correctness behind them is true. Along the way, it is shown that, contrary to the traditional wisdom, the question of whether undecidable sentences like the continuum hypothesis have objectively determinate truth values is independent of the question of whether mathematical realism is true.

It is argued here that mathematical objects cannot be simultaneously abstract and perceptible. Thus, naturalized versions of mathematical platonism, such as the one advocated by Penelope Maddy, are unintelligble. Thus, platonists cannot respond to Benacerrafian epistemological arguments against their view vias Maddy-style naturalization. Finally, it is also argued that naturalized platonists cannot respond to this situation by abandoning abstractness (that is, platonism); they must abandon perceptibility (that is, naturalism)

This paper considers the empirical evidence that we currently have for various kinds of determinism that might be relevant to the thesis that human beings possess libertarian free will. Libertarianism requires a very strong version of indeterminism, so it can be refuted not just by universal determinism, but by some much weaker theses as well. However, it is argued that at present, we have no good reason to believe even these weak deterministic views and, hence, no good reason—at least from this quarter—to doubt that we are libertarian free. In particular, the paper responds to various arguments for neural and psychological determinism, arguments based on the work of people like Honderich, Tegmark, Libet, Velmans, Wegner, and Festinger.