Sam Baron

What is a Negative Property

This paper seeks to differentiate negative properties from positive properties, with the aim of providing the groundwork for further discussion about whether there is anything that corresponds to either of these notions. We differentiate negative and positive properties in terms of their functional role, before drawing out the metaphysical implications of proceeding in this fashion. We show that if the difference between negative and positive properties tabled here is correct, then negative properties are metaphysically contentious entities, entities that many philosophers will be unwilling to countenance.

Feel the flow

The experience of temporal flow is, for many, the central—if not the only—reason for believing an A-theory of time. Recently, however, B-theorists have argued that experience does not, in fact, favor the A-theory. Call such an argument: a debunking argument. The goal of the present paper is to defend the A-theory against two prominent versions of the debunking argument.

Metaphysics as fairness

What are the rules of the metaphysical game? And how are the rules, whatever they are, to be justified? Above all, the rules should be fair. They should be rules that we metaphysicians would all accept, and thus should be justifiable to all rational persons engaged in metaphysical inquiry. Borrowing from Rawls’s conception of justice as fairness, I develop a model for determining and justifying the rules of metaphysics as a going concern.

Our Concept of Time

In this chapter we argue that our concept of time is a functional concept. We argue that our concept of time is such that time is whatever it is that plays the time role, and we spell out what we take the time role to consist in. We evaluate this proposal against a number of other analyses of our concept of time, and argue that it better explains various features of our dispositions as speakers and our practices as agents.

Infinite lies and explanatory ties: idealization in phase transitions

Infinite idealizations appear in our best scientific explanations of phase transitions. This is thought by some to be paradoxical. In this paper I connect the existing literature on the phase transition paradox to work on the concept of indispensability, which arises in discussions of realism and anti-realism within the philosophy of science and the philosophy of mathematics. I formulate a version of the phase transition paradox based on the idea that infinite idealizations are explanatorily indispensable to our best science, and so ought to attract a realist attitude. I go on to offer a solution to the paradox by drawing a distinction between two types of indispensability: constructive and substantive indispensability. I argue that infinite idealizations are constructively indispensable to explanations of phase transitions, but not substantively indispensable. This helps to resolve the paradox, I maintain, since realist commitment tracks substantive, and not constructive, indispensability.

Mathematical Explanation by Law

Call an explanation in which a non-mathematical fact is explained—in part or in whole—by mathematical facts: an extra-mathematical explanation. Such explanations have attracted a great deal of interest recently in arguments over mathematical realism. In this article, a theory of extra-mathematical explanation is developed. The theory is modelled on a deductive-nomological (DN) theory of scientific explanation. A basic DN account of extra-mathematical explanation is proposed and then redeveloped in the light of two difficulties that the basic theory faces. The final view appeals to relevance logic and uses resources in information theory to understand the explanatory relationship between mathematical and physical facts. 1. Introduction2. Anchoring3. The Basic Deductive-Mathematical Account4. The Genuineness Problem5. Irrelevance6. Relevance and Information7. Objections and Replies 7.1. Against relevance logic7.2. Too epistemic7.3. Informational containment8. Conclusion Introduction Anchoring The Basic Deductive-Mathematical Account The Genuineness Problem Irrelevance Relevance and Information Objections and Replies 7.1. Against relevance logic7.2. Too epistemic7.3. Informational containment Against relevance logic Too epistemic Informational containment Conclusion