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 .