Foundations: Philosophy of Mathematics
A study guide on the Philosophy of Mathematics provided by The Objectivist Center, including a study guide on the subject. |
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 (non-classical) logic which can tolerate the presence of a contradiction without turning every sent |
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 |
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 constru |
Mathematical 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. |
Nineteenth 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 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. |
Structuralism, Category Theory and Philosophy of Mathematics
By Richard Stefanik (Washington: MSG Press,1994). |
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. |
