Chris Daly

This paper considers two strategies for undermining indispensability arguments for mathematical Platonism. We defend one strategy (the Trivial Strategy) against a criticism by Joseph Melia. In particular, we argue that the key example Melia uses against the Trivial Strategy fails. We then criticize Melia’s chosen strategy (the Weaseling Strategy.) The Weaseling Strategy attempts to show that it is not always inconsistent or irrational knowingly to assert p and deny an implication of p. We argue that Melia’s case for this strategy fails.

An Introduction to Philosophical Methods is the first book to survey the various methods that philosophers use to support their views. Rigorous yet accessible, the book introduces and illustrates the methodological considerations that are involved in current philosophical debates. Where there is controversy, the book presents the case for each side, but highlights where the key difficulties with them lie. While eminently student-friendly, the book makes an important contribution to the debate regarding the acceptability of the various philosophical methods, and so it will also be of interest to more experienced philosophers.

David Lewis’s genuine modal realism is a controversial thesis in modal metaphysics. Charles Chihara and Ross Cameron have each argued that Lewis’s defence of his thesis involves his committing serious methodological errors; in particular, that his replies to two well-known and important objections are question-begging. Scott Shalkowski has further argued that Lewis’s attempt to analyse modal talk in non-modal terms is viciously circular. This paper considers the methodology which Lewis uses to argue for his thesis, and the paper tries to show that it is guilty of no methodological errors.