Web Directory

» 19th Century Logic between Philosophy and Mathematics
   Online article by Volker Peckhaus.
   http://www.meta-religion.com/Mathematics/Philosophy_of_mathematics/19_century_logic.htm

» Canadian Society for History and Philosophy of Mathematics
   Bulletin, members' pages, meetings.
   http://www.cshpm.org

» 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 re-interpret not only the exist
   http://plato.stanford.edu/entries/mathematics-constructive/

» 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.
   http://plato.stanford.edu/entries/hilbert-program/

» Holistic Math
   An enlarged paradigm of mathematical reality that includes psychology as an integral component.
   http://www.iol.ie/~peter/

» Inconsistent 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 sentenc
   http://plato.stanford.edu/entries/mathematics-inconsistent/

» 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 be
   http://plato.stanford.edu/entries/mathphil-indis/

» 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 constructi
   http://plato.stanford.edu/entries/logic-intuitionistic/

» Nineteenth Century Geometry
   Philosophical-historical survey of the development of geometry in the 19th century. From the Stanford Encyclopedia, by Roberto Toretti.
   http://plato.stanford.edu/entries/geometry-19th/

» On Gödel's Philosophy of Mathematics
   A paper by Harold Ravitch, Los Angeles Valley College.
   http://www.friesian.com/goedel/

» PHILTAR - Philosophy of Mathematics
   Links to pages on individual philosophers.
   http://philtar.ucsm.ac.uk/philosophy_of_mathematics/individual_philosophers/

» 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.
   http://people.exeter.ac.uk/PErnest/

» Philosophy of Mathematics Class Notes
   Notes to a class by Carl Posy at Duke University, Fall 1992.
   http://www.badros.com/greg/doc/philmath.htm

» Social Constructivism as a Philosophy of Mathematics
   Article by Paul Ernest.
   http://people.exeter.ac.uk/PErnest/soccon.htm

» 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.
   http://www.st-andrews.ac.uk/~arche/projects/maths/

» The Philosophical Implications of Mathematics
   This weblog examines what we can learn about our humanness from the act of doing mathematics.
   http://meaningofmath.blogspot.com

» The Philosophy of Mathematics
   Notes by R.B. Jones of foundations, problems, logicism and philosophers of mathematics.
   http://www.rbjones.com/rbjpub/philos/maths/