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This page was last updated on September 29th, 2008
Mathematics (from Philosophy of Science)
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Structuralism, Category Theory and Philosophy of MathematicsStructuralism, Category Theory and Philosophy of Mathematics
By Richard Stefanik (Washington: MSG Press,1994).
Holistic MathHolistic Math
An enlarged paradigm of mathematical reality that includes psychology as an integral component.
On Gödel's Philosophy of MathematicsOn Gödel's Philosophy of Mathematics
A paper by Harold Ravitch, Los Angeles Valley College.
19th Century Logic between Philosophy and Mathematics19th Century Logic between Philosophy and Mathematics
Online article by Volker Peckhaus.
Paul Ernest's PagePaul 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.
Hilbert's ProgramHilbert'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.
Intuitionistic LogicIntuitionistic 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 construc
Indispensability Arguments in the Philosophy of MathematicsIndispensability 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 b
PHILTAR - Philosophy of MathematicsPHILTAR - Philosophy of Mathematics
Links to pages on individual philosophers.
Inconsistent MathematicsInconsistent Mathematics
Inconsistent mathematics is the study of the mathematical theories that result when classical mathematical axioms are asserted within the framework of a (non-classical) logic which can tolerate the presence of a contradiction without turning every sente
Canadian Society for History and Philosophy of MathematicsCanadian Society for History and Philosophy of Mathematics
Bulletin, members' pages, meetings.
The Logical and Metaphysical Foundations of Classical MathematicsThe Logical and Metaphysical Foundations of Classical Mathematics
Arché Research Project at the University of St Andrews. Description of the project, sponsors, researchers and publications.
Mathematical Structures GroupMathematical Structures Group
Research topics include mathematical models and theories in the empirical sciences, models and theories in mathematics, category theory, and the use of mathematical structures in theoretical computer science. Bibliographic data.
The Philosophy of MathematicsThe Philosophy of Mathematics
Notes by R.B. Jones of foundations, problems, logicism and philosophers of mathematics.
Foundations: Philosophy of MathematicsFoundations: Philosophy of Mathematics
A study guide on the Philosophy of Mathematics provided by The Objectivist Center, including a study guide on the subject.
Nineteenth Century GeometryNineteenth Century Geometry
Philosophical-historical survey of the development of geometry in the 19th century. From the Stanford Encyclopedia, by Roberto Toretti.
Philosophy of Mathematics Class NotesPhilosophy of Mathematics Class Notes
Notes to a class by Carl Posy at Duke University, Fall 1992.
Constructive MathematicsConstructive 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 re-interpret not only the exis
Social Constructivism as a Philosophy of MathematicsSocial Constructivism as a Philosophy of Mathematics
Article by Paul Ernest.

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