PLM Reviews

  Introduction I've recently switched my focus back towards the philosophy of logic from the philosophy of maths as I have a paper on logical pluralism that I'd like to re-work and submit somewhere over the summer. My paper, in part, draws on Christopher Blake-Turner's co-author work with Gillian Russell (who I believe was the supervisor of his recently completed doctoral thesis). Given that (1) I like his previous work, (2) that I have a preference for reviewing the work of early-career philosophers and (3) that I prefer to review recent work when I saw that Blake-Turner has a forthcoming paper in Philosophical Studies, it seemed like a natural target for a review. The paper is very interesting and of generally high quality. My biggest "macro" criticism is that it feels like two papers, not one. The material about the basing of reasons stands largely independently from the material about the collapse problem, neither really affects the other, though both contribu

Introduction Around 18 months ago my supervisor, Georg Schiemer, and I were catching up about the state of my work whilst taking a short walk through Vienna. Towards the end of this walk, Georg asked me if I was planning on submitting to a conference he was organising: the annual meeting of the Society for the Study of the History of Analytic Philosophy (SSHAP). I said about it but, now that he mentioned it, I did have a short little paper I was meaning to write on the history of Mathematical Formalism, why it fell out of fashion and why I thought David Lewis would have made a good Formalist. Georg liked the idea and so I wrote it. The paper was only ever supposed to be a bit of fun; more catharsis than serious scholarship as I think most of the serious points regarding Gödel's Incompleteness Theorems and Formalism were already well known by philosophers of maths. Alan Weir, for instance, has clarified most of this in several places. Nevertheless, the David Lewis connections were (