Conceptual Roots of Mathematics

The Conceptual Roots of Mathematics is a comprehensive study of the foundation of mathematics. Lucas shows us that the philosophy of mathematics is actually at the heart of the study of epistemology and metaphysics.

Zusatztext 'The rich collection of arguments and counterarguments! succinct summaries and essential biographical references! make this work an excellent teaching/learning vehicle. Highly recommended.' - Choice Klappentext 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. Zusammenfassung The Conceptual Roots of Mathematics is a comprehensive study of the foundation of mathematics. Lucas shows us that the philosophy of mathematics is actually at the heart of the study of epistemology and metaphysics.

'The rich collection of arguments and counterarguments, succinct summaries and essential biographical references, make this work an excellent teaching/learning vehicle. Highly recommended.' - Choice

Klappentext

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.

Inhalt
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