Philosophy of Mathematics Topics
The Internet Encyclopedia of Philosophy already includes Philosophy of Mathematics entries on these topics:
- Abstractionism in Mathematics
- The Applicability of Mathematics
- The Benacerraf Problem of Mathematical Truth and Knowledge
- Bolzano, Bernard: Mathematical Knowledge
- Constructive Mathematics
- Fictionalism in the Philosophy of Mathematics
- Frege, Gottlob
- Inconsistent Mathematics
- The Indispensability Argument in the Philosophy of Mathematics
- The Infinite
- Lambda Calculi
- Mathematical Platonism
- Mathematical Nominalism
- Mathematical Structuralism
- Poincaré, Jules Henri
- Poincaré’s Philosophy of Mathematics
- Predicative and Impredicative Definitions
- Set Theory
- Wittgenstein, Ludwig: Later Philosophy of Mathematics
- Zeno's Paradoxes
Currently, authors are working on entries on these topics:
- Cognitive Foundations and Epistemology of Arithmetic and Geometry
- Diagrammatic Reasoning in Mathematics
- Empiricism in Mathematics
- Foundations of Mathematics
- Hilbert's Program
- Intuitionism
- Modalism
- Philosophy of Mathematics, Overview
- Philosophy of Set Theory
The Internet Encyclopedia of Philosophy desires entries on these topics:
- Analysis, Nonstandard
- Antirealism in the Philosophy of Mathematics
- Berkeley
- Brouwer
- Calculus and Analysis, History of
- Cantor
- Cassirer, Ernst
- Category Theory
- Choice, The Axiom of
- Complexity of Proof
- Consistency in Mathematics
- Constructibility and Mathematical Existence
- Continuum Hypothesis
- Dedekind
- Descartes' Philosophy of Mathematics
- Explanation in Mathematics
- Feferman
- Finitism
- Formalism
- Frege: Mathematics
- Geometry, Non-Euclidean
- Gödel
- Kronecker
- Lakatos, Imre
- Leibniz's Philosophy of Mathematics
- Mathematics: Platonic Approaches
- Mathematics: Aristotelian Approaches
- Mathematics: Kantian Approaches
- Mathematics and Logic
- Mathematics and Science
- Metamathematics
- Naturalism in the Philosophy of Mathematics
- Newton's Philosophy of Mathematics
- Peirce, Charles Sanders
- Philosophy in Ancient Mathematics
- Philosophy in Modern Mathematics
- Philosophy in 19th and 20th Century Mathematics
- Principia Mathematica
- Proof
- Reverse Mathematics
- Tarski
- Type Theory
- Weyl
Area Editor: Julian C. Cole, Associate Professor, Philosophy Department. SUNY Buffalo State
If you have the relevant expertise and would like to write on one of these topics, please contact the area editor: Julian Cole at colejc@buffalostate.edu
Author guidelines are available at http://www.iep.utm.edu/submit/