One recent ‘neologicist’ claim is that what has come to be known as “Frege’s Theorem”—the result that Hume’s Principle, plus second-order logic, suffices for a proof of the Dedekind-Peano… (More)

In “Double Vision Two Questions about the Neo-Fregean Programme”, John MacFarlane’s raises two main questions: (1) Why is it so important to neo-Fregeans to treat expressions of the form ‘the number… (More)

We now know of a number of ways of developing Real Analysis on a basis of abstraction principles and second-order logic. One, outlined by Shapiro in his contribution to this volume, mimics Dedekind… (More)

Crispin Wright §1 It is not always true that recognizably valid reasoning from known, or otherwise epistemically warranted premises, can be enlisted to produce knowledge, or other epistemic warrant,… (More)

One of the most influential articles 1 in the last half century of philosophy of mathematics begins by suggesting that accounts of mathematical truth have been motivated by two quite distinct… (More)

I Preliminary remarks What I am calling New Age Relativism is usually proposed as a thesis about the truth-conditions of utterances, where an utterance is an actual historic voicing or inscription of… (More)

Descartes observed that you could not lucidly doubt that you exist nor that you are a thinking thing. It would follow that there can be no lucid doubt about the reality of those psychological states… (More)

It is, as is familiar, difficult to be precise about what is involved in realism. The realist in us wants to hold to a certain sort of very general view about our place in the world, a view that, as… (More)