From Kant to Hilbert: A Source Book in the Foundations of Mathematics
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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William Bragg Ewald (ed.)
Oxford University Press (1996)
This massive two-volume reference presents a comprehensive selection of the most important works on the foundations of mathematics. While the volumes include important forerunners like Berkeley, MacLaurin, and D'Alembert, as well as such followers as Hilbert and Bourbaki, their emphasis is on the mathematical and philosophical developments of the nineteenth century. Besides reproducing reliable English translations of classics works by Bolzano, Riemann, Hamilton, Dedekind, and Poincare, William Ewald also includes selections from Gauss, Cantor, Kronecker, and Zermelo, all translated here for the first time.
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Citations of this work BETA
Karin Katz & Mikhail Katz (2012). A Burgessian Critique of Nominalistic Tendencies in Contemporary Mathematics and its Historiography. Foundations of Science 17 (1):51-89.
J. Robert G. Williams (2008). Ontic Vagueness and Metaphysical Indeterminacy. Philosophy Compass 3 (4):763-788.
Zach Weber (2012). Transfinite Cardinals in Paraconsistent Set Theory. Review of Symbolic Logic 5 (2):269-293.
Øystein Linnebo (2012). Metaontological Minimalism. Philosophy Compass 7 (2):139-151.
José Ferreirós (2009). Hilbert, Logicism, and Mathematical Existence. Synthese 170 (1):33 - 70.
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