Diversity Reading List

Abstract: This paper argues that it is scientific realists who should be most concerned about the issue of Platonism and anti-Platonism in mathematics. If one is merely interested in accounting for the practice of pure mathematics, it is unlikely that a story about the ontology of mathematical theories will be essential to such an account. The question of mathematical ontology comes to the fore, however, once one considers our scientific theories. Given that those theories include amongst their laws assertions that imply the existence of mathematical objects, scientific realism, when construed as a claim about the truth or approximate truth of our scientific theories, implies mathematical Platonism. However, a standard argument for scientific realism, the 'no miracles' argument, falls short of establishing mathematical Platonism. As a result, this argument cannot establish scientific realism as it is usually defined, but only some weaker position. Scientific 'realists' should therefore either redefine their position as a claim about the existence of unobservable physical objects, or alternatively look for an argument for their position that does establish mathematical Platonism.

Abstract: We expect there to be a connection between experience and knowledge in many of our ordinary epistemic judgments; this expectation is by no means confined to our knowledge of mental states. Thus, the appeal to a special necessary connection between experience and knowledge of mental states ignores the generality of this phenomenon. More important, however, it takes this phenomenon too seriously: our unreflective expectations about the previous experiences of a person who has knowledge, as I have argued, have little to do with whether these experiences are necessary for knowledge of that sort. Thus, they provide no threat to physicalism, or any other objective theory of mental states. To be sure, it is not hard to see why reductionist theses in the philosophy of mind raise suspicion, as they have often ignored the complexity of our mental lives. In this case, however, the suspicion leads to unwarranted fears about Procrusteans under the bed: it is not the insufficiencies of objectivity, but the vestiges of Empiricism, that suggest that these theories may be inadequate for expressing all the truth about experience that there is.

Abstract: A recent study published in Nature Neuroscience purports to have answered a question posed to Locke in 1688 by his friend William Molyneux, namely, whether ‘a man born blind and made to see’ would be able to identify, immediately and by vision alone, objects previously known only by touch. The answer, according to the researchers – and as predicted by Molyneux, as well as Locke, Berkeley, and others – is ‘likely negative. The newly sighted subjects did not exhibit an immediate transfer of their tactile shape knowledge to the visual domain’. Since then, however, many commentators have argued that the answer is still not clear. Moreover, in the contemporary literature on Molyneux’s Question, and more generally on cross-modal perception and the individuation of the senses, it is sometimes hard to determine what question is being investigated. In this paper, I distinguish a number of different questions about the relation between visual and tactual perception that can arise when considering Molyneux’s problem.

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Publisher's Note: Spinoza is a key figure in modern philosophy. Ethics is his most studied and well known work. Being both up-to-date and clear, this Guidebook is designed to lead the reader through this complex seminal text. Spinoza's Ethics introduces and assess Spinoza's life, and its connection with his thought.

Abstract: Disjunctivist theories of perceptual experience claim that veridical and non-veridical experiences are radically unalike in some respect (other than the obvious difference in their causal histories). This chapter outlines four ways of elaborating this basic claim, each motivated by a different concern. The first is disjunctivism about the objects of experience, motivated by Direct Realism. The second is disjunctivism about the content of experience, motivated by the view that some experiences have object-dependent content. The third is disjunctivism about perceptual evidence (also known as epistemological disjunctivism), which is a strategy for responding to a particular sort of argument for scepticism about the external world. The fourth is disjunctivism about the metaphysical structure of experience (also known as metaphysical disjunctivism), which is motivated by Naïve Realism (a species of Direct Realism).

Publisher's Note: Baruch Spinoza was born in Amsterdam during a period of unprecedented scientific, artistic, and intellectual discovery. Upon its release, Spinoza's Ethics was banned; today it is the quintessential example of philosophical method. Although acknowledged as difficult, the book is widely taught in philosophy, literature, history, and politics. This introduction is designed to be read side by side with Spinoza's work. As a guide to the style, vocabulary, and arguments of the Ethics, it offers a range of interpretive possibilities to prepare students to become conversant with Spinoza's philosophical method and his challenge to conventional thinking

Abstract: I propose a counterexample to naturalistic representational theories of phenomenal character. The counterexample is generated by experiences of novel colours reported by Crane and Piantanida. I consider various replies that a representationalist might make, including whether novel colours could be possible colours of objects and whether one can account for novel colours as one would account for binary colours or colour mixtures. I argue that none of these strategies is successful and therefore that one cannot fully explain the nature of the phenomenal character of perceptual experiences using a naturalistic conception of representation

Abstract: I argue that we should reject the sparse view that there are or could be only a small number of rather distinct senses. When one appreciates this then one can see that there is no need to choose between the standard criteria that have been proposed as ways of individuating the senses—representation, phenomenal character, proximal stimulus and sense organ—or any other criteria that one may deem important. Rather, one can use these criteria in conjunction to form a fine-grained taxonomy of the senses. We can think of these criteria as defining a multidimensional space within which we can locate each of the senses that we are familiar with and which also defines the space of possible senses there could be.

Publisher's Note: Our much-valued mathematical knowledge rests on two supports: the logic of proof and the axioms from which those proofs begin. Naturalism in Mathematics investigates the status of the latter, the fundamental assumptions of mathematics. These were once held to be self-evident, but progress in work on the foundations of mathematics, especially in set theory, has rendered that comforting notion obsolete. Given that candidates for axiomatic status cannot be proved, what sorts of considerations can be offered for or against them? That is the central question addressed in this book. One answer is that mathematics aims to describe an objective world of mathematical objects, and that axiom candidates should be judged by their truth or falsity in that world. This promising view - realism - is assessed and finally rejected in favour of another - naturalism - which attends less to metaphysical considerations of objective truth and falsity, and more to practical considerations drawn from within mathematics itself. Penelope Maddy defines this naturalism, explains the motivation for it, and shows how it can be helpfully applied in the assessment of candidates for axiomatic status in set theory. Maddy's clear, original treatment of this fundamental issue is informed by current work in both philosophy and mathematics, and will be accessible and enlightening to readers from both disciplines.