Whither the philosophy of intuition?Herman Cappelen’s Philosophy Without Intuitions (PWI) is a novel study in philosophical sociology—or, as Cappelen at one point suggests, “intellectual anthropology” (96).All undated references are to Cappelen (2012). Its target is the thesis that intuition is central, in the descriptive sense that contemporary analytic philosophers rely on intuitions for evidence—or, more generally, positive epistemic status. Cappelen labels the target thesis Centrality.If Centrality is true, then especially urgent are two questions in the rapidly growing field that is (...) the philosophy of intuition:[Q1] What are intuitions?[Q2] Can intuitions serve as evidence?There are of course others, but in chapter one Cappelen singles out these two as The Burning Questions about intuition. He then summarizes the overall upshot of PWI as follows:In this book I argue that Centrality, on any reasonable interpretation, is false. If you share that view, the Burning Questions will no lo .. (shrink)

In this paper, I explore a question about deductive reasoning: why am I in a position to immediately infer some deductive consequences of what I know, but not others? I show why the question cannot be answered in the most natural ways of answering it, in particular in Descartes’s way of answering it. I then go on to introduce a new approach to answering the question, an approach inspired by Hume’s view of inductive reasoning.

This paper is about the interplay between intuition and reason in Aristotle’s moral psychology. After discussing briefly some other uses of ‘intuition’ in Aristotle’s texts, I look closely at A...

I examine various claims to the effect that Cantor's Continuum Hypothesis and other problems of higher set theory are ill-posed questions. The analysis takes into account the viability of the underlying philosophical views and recent mathematical developments.