Corfield, David

Towards a philosophy of real mathematics/ David Corfield. - Cambridge, UK: New York: Cambridge University Press, 2003. - x, 288 p.: ill.; 24 cm.

Includes bibliographical references (p. 274-285) and index.

Introduction: a role for history -- Human and Artificial Mathematicians -- Communicating with automated theorem provers -- Automated conjecture formation -- The role of analogy in mathematics -- Plausibility, uncertainty and probability -- Bayesianism in mathematics -- Uncertainty in mathematics and science -- The Growth of Mathematics -- Lakatos's philosophy of mathematics -- Beyond the methodology of mathematical research programmes -- The importance of mathematical conceptualisation -- The Interpretation of Mathematics -- Higher dimensional algebra .

0521817226

00203884


Mathematics---Philosophy.

510.1 / C797t