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the entire directory
only in Philosophy_of_Science/Mathematics
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Philosophy
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Philosophy of Science
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Mathematics
(24)
Conferences
(3)
Journals
(1)
Bolzano, Bernard
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(7)
Brown, George Spencer
(3)
Lakatos, Imre
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(9)
Russell, Bertrand
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Whitehead, Alfred North
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(8)
See also:
Science: Math: Geometry: NonEuclidean
(9)
Science: Math: History
(107)
Science: Math: Logic and Foundations
(661)
Society: Philosophy: Philosophy of Logic
(100)
19th Century Logic between Philosophy and Mathematics
 Online article by Volker Peckhaus.
Canadian Society for History and Philosophy of Mathematics
 Bulletin, members' pages, meetings.
Constructive Mathematics
 Constructive mathematics is distinguished from its traditional counterpart, classical mathematics, by the strict interpretation of the phrase `there exists' as `we can construct'. In order to work constructively, we need to reinterpret not only the existential quantifier but all the logical connectives and quantifiers as instructions on how to construct a proof of the statement involving these logical expressions. From the Stanford Encyclopedia.
Hilbert's Program
 In 1921, David Hilbert made a proposal for a formalist foundation of mathematics, for which a finitary consistency proof should establish the security of mathematics. From the Stanford Encyclopedia, by Richard Zach.
Holistic Math
 An enlarged paradigm of mathematical reality that includes psychology as an integral component.
Inconsistent Mathematics
 Inconsistent mathematics is the study of the mathematical theories that result when classical mathematical axioms are asserted within the framework of a (nonclassical) logic which can tolerate the presence of a contradiction without turning every sentence into a theorem. By Chris Mortensen, from the Stanford Encyclopedia.
Indispensability Arguments in the Philosophy of Mathematics
 From the fact that mathematics is indispensable to science, some philosophers have drawn serious metaphysical conclusions. In particular, Quine and Putnam have argued that the indispensability of mathematics to empirical science gives us good reason to believe in the existence of mathematical entities. From the Stanford Encyclopedia.
Intuitionistic Logic
 Intuitionistic logic encompasses the principles of logical reasoning which were used by L. E. J. Brouwer in developing his intuitionistic mathematics, beginning in [1907]. Because these principles also underly Russian recursive analysis and the constructive analysis of E. Bishop and his followers, intuitionistic logic may be considered the logical basis of constructive mathematics. From the Stanford Encyclopedia.
The Logical and Metaphysical Foundations of Classical Mathematics
 Arché Research Project at the University of St Andrews. Description of the project, sponsors, researchers and publications.
Nineteenth Century Geometry
 Philosophicalhistorical survey of the development of geometry in the 19th century. From the Stanford Encyclopedia, by Roberto Toretti.
On Gödel's Philosophy of Mathematics
 A paper by Harold Ravitch, Los Angeles Valley College.
Paul Ernest's Page
 Based at School of Education, University of Exeter, United Kingdom, includes the text of back issues of the Philosophy of Mathematics Education Journal, and other papers on the philosophy of mathematics and related subjects.
The Philosophical Implications of Mathematics
 This weblog examines what we can learn about our humanness from the act of doing mathematics.
The Philosophy of Mathematics
 Notes by R.B. Jones of foundations, problems, logicism and philosophers of mathematics.
Philosophy of Mathematics Class Notes
 Notes to a class by Carl Posy at Duke University, Fall 1992.
PHILTAR  Philosophy of Mathematics
 Links to pages on individual philosophers.
Social Constructivism as a Philosophy of Mathematics
 Article by Paul Ernest.
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Last update: January 2, 2007 at 16:49:51 UTC 
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