William Tait. The provenance of pure reason. Essays on the philosophy of mathematics and on its history
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Philosophia Mathematica 17 (2):220-247 (2009)
William Tait's standing in the philosophy of mathematics hardly needs to be argued for; for this reason the appearance of this collection is especially welcome. As noted in his Preface, the essays in this book ‘span the years 1981–2002’. The years given are evidently those of publication. One essay was not previously published in its present form, but it is a reworking of papers published during that period. The Introduction, one appendix, and some notes are new. Many of the essays will be familiar to the readers of this journal; indeed two first appeared here.It should be no surprise to those who know Tait's work that this is a very rich collection, with contributions on a wide variety of issues, both systematic and historical. That poses a problem for a reviewer, because a serious discussion of even all the major issues would be beyond the scope of a review.Before the essays in this collection, Tait's publications were almost all in mathematical logic, especially proof theory. He was a leading actor in the work on the revised Hilbert program stimulated after the war by Georg Kreisel, Kurt Schütte, and Gaisi Takeuti. Tait thus has an experience in mathematical research that is rare among those whose careers have been institutionally in philosophy. In the 1970s Tait became disillusioned with the proof-theoretic program on which he had worked. However, he draws on that background in several of these essays, and he has continued to work on mathematical questions. In particular, the set-theoretic project reflected in essay 6 is as much mathematical as philosophical.It is not easy to characterize Tait's philosophical viewpoint briefly. Both the title of the book and some of its content mark him as a rationalist. His hero in the earlier history …
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
Nelson Goodman & W. V. Quine (1947). Steps Toward a Constructive Nominalism. Journal of Symbolic Logic 12 (4):105-122.
Charles Parsons (1995). Platonism and Mathematical Intuition in Kurt Gödel's Thought. Bulletin of Symbolic Logic 1 (1):44-74.
Von Kurt Gödel (1958). Über eine bisher noch nicht benützte erweiterung Des finiten standpunktes. Dialectica 12 (3‐4):280-287.
Donald A. Martin (2005). Gödel's Conceptual Realism. Bulletin of Symbolic Logic 11 (2):207-224.
William Tait (2006). Godel's Interpretation of Intuitionism. Philosophia Mathematica 14 (2):208-228.
Citations of this work BETA
No citations found.
Similar books and articles
Robert Lockie (2004). Knowledge, Provenance and Psychological Explanation. Philosophy 79 (3):421-433.
W. W. Tait (1986). Book Review:Mathematics in Philosophy Charles Parsons. [REVIEW] Philosophy of Science 53 (4):588-.
Charles Parsons (1983). Mathematics in Philosophy: Selected Essays. Cornell University Press.
Richard L. Tieszen (2005). Phenomenology, Logic, and the Philosophy of Mathematics. Cambridge University Press.
William Tait (2001). Godel's Unpublished Papers on Foundations of Mathematics. Philosophia Mathematica 9 (1):87-126.
José Ferreirós Domínguez & Jeremy Gray (eds.) (2006). The Architecture of Modern Mathematics: Essays in History and Philosophy. Oxford University Press.
Lisa Shabel (1998). Kant on the `Symbolic Construction' of Mathematical Concepts. Studies in History and Philosophy of Science Part A 29 (4):589-621.
William W. Tait (1993). Some Recent Essays in the History of the Philosophy of Mathematics: A Critical Review. [REVIEW] Synthese 96 (2):293 - 331.
Added to index2009-05-23
Total downloads47 ( #72,555 of 1,726,249 )
Recent downloads (6 months)1 ( #369,877 of 1,726,249 )
How can I increase my downloads?