This quantity gains essays approximately and through Paul Benacerraf, whose principles have circulated within the philosophical neighborhood because the past due nineteen sixties, shaping key parts within the philosophy of arithmetic. the 1st a part of the booklet specializes in “Benacerraf’s dilemma”, mathematical language and mathematical wisdom, relating Platonism and analyzing mathematical gadgets and their modes of presentation. the second one half is anxious with logicism, fictionalism and structuralism, and the 3rd half specializes in supertasks. The January 1968 model of Benacerraf’s paintings “Mathematical fact” is released right here for the 1st time with up to date footnotes, and the reader will locate Paul Benacerraf’s personal replies to the essays offered during this quantity. in response to Benacerraf’s hindrance, both we make the most of a Tarskian account of fact for mathematical language or we now have a competent rationalization of mathematical wisdom, yet we would possibly not have either. Essays during this booklet discover this predicament from new techniques, in addition to providing new views on logicism, structuralism and supertasks. This e-book first started to take form at a workshop held in Paris on the Collège de France, in could 2012, with the participation of Paul Benacerraf. The e-book is improved by means of the editor’s creation, a chronological bibliography of Paul Benacerraf, a subject matter index, a names index and a common bibliography.
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