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  1. (1 other version)From Brouwer to Hilbert: The Debate on the Foundations of Mathematics in the 1920s.Paolo Mancosu (ed.) - 1997 - Oxford, England: Oxford University Press USA.
    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. (...)
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  • On the concept of number.David Hilbert - 1996 - In William Ewald (ed.), From Kant to Hilbert: a source book in the foundations of mathematics. New York: Oxford University Press. pp. 2--1089.
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  • (1 other version)Brouwerian intuitionism.Michael Detlefsen - 1990 - Mind 99 (396):501-534.
    The aims of this paper are twofold: firstly, to say something about that philosophy of mathematics known as 'intuitionism' and, secondly, to fit these remarks into a more general message for the philosophy of mathematics as a whole. What I have to say on the first score can, without too much inaccuracy, be compressed into two theses. The first is that the intuitionistic critique of classical mathematics can be seen as based primarily on epistemological rather than on meaning-theoretic considerations. The (...)
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  • Hilbert's Programs: 1917–1922.Wilfried Sieg - 1999 - Bulletin of Symbolic Logic 5 (1):1-44.
    Hilbert's finitist program was not created at the beginning of the twenties solely to counteract Brouwer's intuitionism, but rather emerged out of broad philosophical reflections on the foundations of mathematics and out of detailed logical work; that is evident from notes of lecture courses that were given by Hilbert and prepared in collaboration with Bernays during the period from 1917 to 1922. These notes reveal a dialectic progression from a critical logicism through a radical constructivism toward finitism; the progression has (...)
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  • (3 other versions)Consciousness, Philosophy, and Mathematics.L. E. J. Brouwer - 1949 - Proceedings of the Tenth International Congress of Philosophy 2:1235-1249.
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  • Historical Background, Principles and Methods of Intuitionism.L. E. J. Brouwer - 1954 - Journal of Symbolic Logic 19 (2):125-125.
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  • Brouwer's conception of language, mind and mathematics'.Hiroshi Kaneko - 2002 - Annals of the Japan Association for Philosophy of Science 11 (1):35-49.
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  • Brouwer's Cambridge lectures on intuitionism.Luitzen Egbertus Jan Brouwer - 1981 - New York: Cambridge University Press. Edited by D. van Dalen.
    Luitzen Egburtus Jan Brouwer founded a school of thought whose aim was to include mathematics within the framework of intuitionistic philosophy; mathematics was to be regarded as an essentially free development of the human mind. What emerged diverged considerably at some points from tradition, but intuitionism has survived well the struggle between contending schools in the foundations of mathematics and exact philosophy. Originally published in 1981, this monograph contains a series of lectures dealing with most of the fundamental topics such (...)
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  • (2 other versions)Brouwer's Cambridge Lectures on Intuitionism by L. E. J. Brouwer, D. van Dalen. [REVIEW]R. J. Grayson - 1983 - Journal of Symbolic Logic 48 (1):214-215.
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