From Brouwer to Hilbert: The Debate on the Foundations of Mathematics in the 1920s
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Paolo Mancosu (ed.)
Oxford University Press (1998)
From Brouwer To Hilbert: The Debate on the Foundations of Mathematics in the 1920s offers the first comprehensive introduction to the most exciting period in the foundation of mathematics in the twentieth century. The 1920s witnessed the seminal foundational work of Hilbert and Bernays in proof theory, Brouwer's refinement of intuitionistic mathematics, and Weyl's predicativist approach to the foundations of analysis. This impressive collection makes available the first English translations of twenty-five central articles by these important contributors and many others. The articles have been translated for the first time from Dutch, French, and German, and the volume is divided into four sections devoted to (1) Brouwer, (2) Weyl, (3) Bernays and Hilbert, and (4) the emergence of intuitionistic logic. Each section opens with an introduction which provides the necessary historical and technical context for understanding the articles. Although most contemporary work in this field takes its start from the groundbreaking contributions of these major figures, a good, scholarly introduction to the area was not available until now. Unique and accessible, From Brouwer To Hilbert will serve as an ideal text for undergraduate and graduate courses in the philosophy of mathematics, and will also be an invaluable resource for philosophers, mathematicians, and interested non-specialists.
|Categories||categorize this paper)|
|Buy the book||$42.00 used (34% off) $59.35 new (6% off) $59.80 direct from Amazon (6% off) Amazon page|
|Call number||QA8.6.F757 1998|
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
No references found.
Citations of this work BETA
Mihai Ganea (2010). Two (or Three) Notions of Finitism. Review of Symbolic Logic 3 (1):119-144.
José Ferreirós (2009). Hilbert, Logicism, and Mathematical Existence. Synthese 170 (1):33 - 70.
Luciano Floridi (2010). Information, Possible Worlds and the Cooptation of Scepticism. Synthese 175 (1):63 - 88.
Andrew Arana & Paolo Mancosu (2012). On the Relationship Between Plane and Solid Geometry. Review of Symbolic Logic 5 (2):294-353.
Sören Stenlund (2012). Different Senses of Finitude: An Inquiry Into Hilbert's Finitism. Synthese 185 (3):335-363.
Similar books and articles
William Bragg Ewald (ed.) (1996). From Kant to Hilbert: A Source Book in the Foundations of Mathematics. Oxford University Press.
Paolo Mancosu (1999). Between Russell and Hilbert: Behmann on the Foundations of Mathematics. Bulletin of Symbolic Logic 5 (3):303-330.
William Bragg Ewald (2005). From Kant to Hilbert Volume 1: A Source Book in the Foundations of Mathematics. OUP Oxford.
Wilfried Sieg (1999). Hilbert's Programs: 1917-1922. Bulletin of Symbolic Logic 5 (1):1-44.
Paul Benacerraf & Hilary Putnam (eds.) (1983). Philosophy of Mathematics: Selected Readings. Cambridge University Press.
Pierre Cassou-Nogués (2006). Signs, Figures and Time: Cavaillès on “Intuition” in Mathematics. Theoria 21 (1):89-104.
Richard Zach, Hilbert's Program. Stanford Encyclopedia of Philosophy.
Herman Weyl (1921). On the New Foundational Crisis in Mathematics. In P. Mancosu (ed.), From Brouwer to Hilbert: The Debate on the Foundations of Mathematics in 1920s. Oxford University Press. 86--118.
Sorry, there are not enough data points to plot this chart.
Added to index2009-01-28
Recent downloads (6 months)0
How can I increase my downloads?