Diversity Reading List

Publisher's Note: What do blue things have in common? Or electrons? Or planets? Distinct things appear to share properties; but what are properties and what is the best philosophical account of them? A Critical Introduction to Properties introduces different ontological accounts of properties, exploring how their formulation is shaped by the explanatory demands placed upon them. This accessible introduction begins with a discussion of universals, tropes, sets and resemblance classes, the major objections to them and their responses, providing readers with a firm grasp on the competing ontological accounts of what (if anything) grounds similarity and difference. It then explores issues concerning the formulation and justification of property theories such as: how many properties are there? Should we accept a sparse ontology of properties, or an abundant one? Can we make a distinction between intrinsic and extrinsic properties? Do properties have their causal roles necessarily? What is the relationship between properties and other metaphysical phenomena such as causality, laws and modality? These questions get to the heart of why a coherent theory of properties is so important to metaphysics, and to philosophy more generally. By concluding with the question of the ontological status of properties, the reader is introduced to some Carnapian and contemporary themes about the content and methodology of metaphysics. For students looking for an accessible resource and a more comprehensive understanding of contemporary metaphysics, A Critical Introduction to Properties is a valuable starting point.

Abstract: Many solutions have been proposed for solving the problem of macroscopic superpositions of wave function ontology. A possible solution is to assume that, while the wave function provides the complete description of the system, its temporal evolution is not given by the Schroedinger equation. The usual Schroedinger evolution is interrupted by random and sudden "collapses". The most promising theory of this kind is the GRW theory, named after the scientists that developed it: Gian Carlo Ghirardi, Alberto Rimini and Tullio Weber. It seems tempting to think that in GRW we can take the wave function ontologically seriously and avoid the problem of macroscopic superpositions just allowing for quantum jumps. In this paper it is argued that such "bare" wave function ontology is not possible, neither for GRW nor for any other quantum theory: quantum mechanics cannot be about the wave function simpliciter. All quantum theories should be regarded as theories in which physical objects are constituted by a primitive ontology. The primitive ontology is mathematically represented in the theory by a mathematical entity in three-dimensional space, or space-time.

Abstract: The aim of this paper is to summarize a particular approach of doing metaphysics through physics - the primitive ontology approach. The idea is that any fundamental physical theory has a well-defined architecture, to the foundation of which there is the primitive ontology, which represents matter. According to the framework provided by this approach when applied to quantum mechanics, the wave function is not suitable to represent matter. Rather, the wave function has a nomological character, given that its role in the theory is to implement the law of evolution for the primitive ontology.

Publisher's Note: Understanding human beings and their distinctive rational and volitional capacities is one of the central tasks of philosophy. The task requires a clear account of such things as reasons, desires, emotions and motives, and of how they combine to produce and explain human behaviour. In Kinds of Reasons, Maria Alvarez offers a fresh and incisive treatment of these issues, focusing in particular on reasons as they feature in contexts of agency. Her account builds on some important recent work in the area; but she takes her main inspiration from the tradition that receives its seminal contemporary expression in the writings of G.E.M. Anscombe, a tradition that runs counter to the broadly Humean orthodoxy that has dominated the theory of action for the past forty years. Alvarez's conclusions are therefore likely to be controversial; and her bold and painstaking arguments will be found provocative by participants on every side of the debates with which she engages. Clear and directly written, Kinds of Reasons aims to stake out a distinctive position within one of the most hotly contested areas of contemporary philosophy.

Abstract: Reasons can play a variety of roles in a variety of contexts. For instance, reasons can motivate and guide us in our actions (and omissions), in the sense that we often act in the light of reasons. And reasons can be grounds for beliefs, desires and emotions and can be used to evaluate, and sometimes to justify, all these. In addition, reasons are used in explanations: both in explanations of human actions, beliefs, desires, emotions, etc., and in explanations of a wide range of phenomena involving all sorts of animate and inanimate substances. This diversity has encouraged the thought that the term 'reason' is ambiguous or has different senses in different contexts. Moreover, this view often goes hand in hand with the claim that reasons of these different kinds belong to different ontological categories: to facts (or something similar) in the case of normative/justifying reasons, and to mental states in the case of motivating/explanatory reasons. In this paper I shall explore some of the main roles that reasons play and, on that basis, I shall offer a classification of kinds of reasons. As will become clear, my classification of reasons is at odds with much of the literature in several respects: first, because of my views about how we should understand the claim that reasons are classified into different kinds; second, because of the kinds into which I think reasons should be classified; and, finally, because of the consequences I think this view has for the ontology of reasons.

Abstract:

There is something curiously opaque about Wittgenstein's assertions concerning the connection between proof of a proposition p, sense of the sentence " p ", and understanding " p ". The difficulties inherent in his account are apparent, and he has
himself mentioned them, while leaving their resolution obscure. I shall now detail them, so that it will be clear what difficulties must be got round and what clarification is required.

Abstract:

In Remarks on the Foundations of Mathematics, and elsewhere, Wittgenstein made some general statements about mathematical proof which can only be described as paradoxical. What he says is directed to proofs for which there is no general method of solution such as there is for statements of the form a x b = c where a simple calculation is sufficient. His concern is with propositions for which one cannot in advance of proof describe any procedure which will demonstrate them... In an earlier study,' 'Proof and the Theorem Proved', I singled out a group of propositions for which his account of proof seemed correct, and not paradoxical.... But I did not succeed in making his account of deductions of connections between established concepts paradox-free. I should like to return to his account as applied to such demonstrations, with the aim of explaining what justification there is for it, and what his account comes to.

Abstract:
Mathematicians appear to have quite high standards for when they will rely on testimony. Many mathematicians require that a number of experts testify that they have checked the proof of a result p before they will rely on p in their own proofs without checking the proof of p. We examine why this is. We argue that for each expert who testifies that she has checked the proof of p and found no errors, the likelihood that the proof contains no substantial errors increases because different experts will validate the proof in different ways depending on their background knowledge and individual preferences. If this is correct, there is much to be gained for a mathematician from requiring that a number of experts have checked the proof of p before she will rely on p in her own proofs without checking the proof of p. In this way a mathematician can protect her own work and the work of others from errors. Our argument thus provides an explanation for mathematicians’ attitude towards relying on testimony.

Abstract:

We present a case study of how mathematicians write for mathematicians. We have conducted interviews with two research mathematicians, the talented PhD student Adam and his experienced supervisor Thomas, about a research paper they wrote together. Over the course of 2 years, Adam and Thomas revised Adam’s very detailed first draft. At the beginning of this collaboration, Adam was very knowledgeable about the subject of the paper and had good presentational skills but, as a new PhD student, did not yet have experience writing research papers for mathematicians. Thus, one main purpose of revising the paper was to make it take into account the intended audience. For this reason, the changes made to the initial draft and the authors’ purpose in making them provide a window for viewing how mathematicians write for mathematicians. We examined how their paper attracts the interest of the reader and prepares their proofs for validation by the reader. Among other findings, we found that their paper prepares the proofs for two types of validation that the reader can easily switch between.

Publisher's note: Feminist philosophy of religion as a subject of study has developed in recent years because of the identification and exposure of explicit sexism in much of the traditional philosophical thinking about religion. This struggle with a discipline shaped almost exclusively by men has led feminist philosophers to redress the problematic biases of gender, race, class and sexual orientation of the subject. Anderson and Clack bring together new and key writings on the core topics and approaches to this growing field. Each essay exhibits a distinctive theoretical approach and appropriate insights from the fields of literature, theology, philosophy, gender and cultural studies. Beginning with a general introduction, part one explores important approaches to the feminist philosophy of religion, including psychoanalytic, poststructuralist, postmetaphysical, and epistemological frameworks. In part two the authors survey significant topics including questions of divinity, embodiment, autonomy and spirituality, and religious practice. Supported by explanatory prefaces and an extensive bibliography which is organized thematically, Feminist Philosophy of Religion is an important resource for this new area of study.