Welcome to PAUL ERNEST'S page Based at School of Education, University of Exeter, United Kingdom More about Paul Ernest including iffy picture! Paul Ernest - Curriculum Vitae and Publications List Philosophy of Mathematics Education Journal (formally Philosophy of Mathematics Education Newsletter) Number 16 July 2002 Number 15 March 2002 Number 14 May 2001 Number 13 September 2000 Number 12 ...

Stanford Encyclopedia of Philosophy A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z 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 . Because these principles also underly Russian recursive analysis and the ...

Stanford Encyclopedia of Philosophy A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z Nineteenth Century Geometry In the nineteenth century, geometry, like most academic disciplines, went through a period of growth that was near cataclysmic in proportion. During the course of this century, the content of geometry and its internal diversity ...

Stanford Encyclopedia of Philosophy A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z 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 ...

Stanford Encyclopedia of Philosophy A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z 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 ...

Stanford Encyclopedia of Philosophy A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z Indispensability Arguments in the Philosophy of Mathematics One of the most intriguing features of mathematics is its applicability to empirical science. Every branch of science draws upon large and often diverse portions of mathematics, from the use of ...

A study guide on the Philosophy of Mathematics provided by The Objectivist Center.

On G del's Philosophy of Mathematics, by Harold Ravitch, Ph.D. Chairman, Department of Philosophy Los Angeles Valley College Table of Contents Title and Signature Page Abstract On G del's Philosophy of Mathematics Chapter I: G del's Methodology of Mathematics 1.) G del's Defense of Classical Mathematics 2.) The Vicious Circle Principle 3.) G del's Research in Intuitionistic Mathematics 4.) G ...

SOCIAL CONSTRUCTIVISM AS A PHILOSOPHY OF MATHEMATICS: RADICAL CONSTRUCTIVISM REHABILITATED Paul Ernest University of Exeter Epistemological issues, although controversial, are central to teaching and learning and have long been a theme of PME. A central epistemological issue is that of the philosophy of mathematics. It is argued that the traditional absolutist philosophies need to be replaced ...

Individual Philosophers Back Boutroux, Pierre Leon (1880-1922) A very brief account of his life and work Brouwer, Luitzen Egbertus Jan (1881-1966) A very brief introduction to his life and work, with some links. Another brief introduction to his life and work, with links. Cambridge Lectures on Intuitionism Extracts Cantor, Georg (1845-1918) A brief introduction to his life and work Frege, ...