Mathematics Philosophy of Science


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 construc








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Mathematics


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  • Paul Ernest's Page - Based at School of Education, University of Exeter, philosophy of science philosophy United Kingdom, includes the text of back issues philosophy of science philosophy of the Philosophy of Mathematics Education Journal, and philosophy of science philosophy other papers on the philosophy of mathematics and philosophy of science philosophy related subjects.
  • Constructive Mathematics - Constructive mathematics is distinguished from its traditional counterpart, philosophy classical mathematics, mathematics by the strict interpretation of philosophy the phrase `there exists\\' mathematics as `we can construct\\'. philosophy In order to work constructively, we mathematics need to philosophy re-interpret not only the exis
  • Canadian Society for History and Philosophy of Mathematics - Bulletin, members' pages, meetings.
  • On Gödel's Philosophy of Mathematics - A paper by Harold Ravitch, Los Angeles Valley College.
  • Holistic Math - An enlarged paradigm of mathematical reality that includes philosophy of science psychology as an integral component.
  • Intuitionistic Logic - Intuitionistic logic encompasses the principles of logical reasoning philosophy which were used by L. E. J. Brouwer philosophy in developing his intuitionistic mathematics, beginning in philosophy [1907]. Because these principles also underly Russian recursive philosophy analysis and the construc
  • Philosophy of Mathematics Class Notes - Notes to a class by Carl Posy at Duke University, philosophy Fall 1992.
  • Indispensability Arguments in the Philosophy of Mathematics - From the fact that mathematics is indispensable to science, some philosophy philosophers have drawn serious metaphysical conclusions. In particular, Quine philosophy and Putnam have argued that the indispensability of mathematics to philosophy empirical science gives us good reason to b
  • Inconsistent Mathematics - Inconsistent mathematics is the study of the mathematical philosophy of science theories that result when classical mathematical axioms are philosophy of science asserted within the framework of a (non-classical) philosophy of science logic which can tolerate the presence of a philosophy of science contradiction without turning every sente
  • The Logical and Metaphysical Foundations of Classical Mathematics - Arché Research Project at the University of St mathematics Andrews. philosophy of science Description of the project, sponsors, researchers mathematics and publications.
  • Nineteenth Century Geometry - Philosophical-historical survey of the development of geometry in the 19th century. From the Stanford Encyclopedia, by Roberto Toretti.
  • 19th Century Logic between Philosophy and Mathematics - Online article by Volker Peckhaus.
  • PHILTAR - Philosophy of Mathematics - Links to pages on individual philosophers.
  • The Philosophical Implications of Mathematics - This weblog examines what we can learn about mathematics our humanness from the act of doing mathematics.
  • Hilbert's Program - In 1921, David Hilbert made a proposal for a formalist philosophy foundation of mathematics, for which a finitary consistency proof should philosophy establish the security of mathematics. From the Stanford Encyclopedia, philosophy by Richard Zach.
  • The Philosophy of Mathematics - Notes by R.B. Jones of foundations, problems, logicism mathematics and philosophers philosophy of mathematics.
  • Social Constructivism as a Philosophy of Mathematics - Article by Paul Ernest.


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