附註:Includes bibliographical references and index.
Chapter 1 Plato's Philosophies of Mathematics -- chapter 2 Geometry -- chapter 3 Formalism -- chapter 4 Numbers: The Cardinal Approach -- chapter 5 Numbers: The Ordinal Approach -- chapter 6 Numbers: The Abstract Approach -- chapter 7 The Infinite -- chapter 8 The Implications of Gödel's Theorem -- chapter 9 Transitive Relations -- chapter 10 Prototopology -- chapter 11 Magnitude and Measure -- chapter 12 Down With Set Theory -- chapter 13 Chastened Logicism? -- chapter 14 Mathematical Knowledge -- chapter 15 Realism Revisited.
摘要:The Conceptual Roots of Mathematics is a comprehensive study of the foundation of mathematics. J.R. Lucas, one of the most distinguished Oxford scholars, covers a vast amount of ground in the philosophy of mathematics, showing us that it is actually at the heart of the study of epistemology and metaphysics.
