Philosophy of Mathematics: Selected Readings

The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Gödel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.

• Thinking about Mathematics: The Philosophy of Mathematics
• The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number
• Introduction to Mathematical Philosophy
• Philosophy of Mathematics (Princeton Foundations of Contemporary Philosophy)
• When Einstein Walked with Gödel: Excursions to the Edge of Thought
• Gödel's Proof
• The Oxford Handbook of Philosophy of Mathematics and Logic (Oxford Handbooks)
• Essays on the Theory of Numbers (Dover Books on Mathematics)
• From Frege to Godel: A Source Book in Mathematical Logic, 1879-1931 (Source Books in History of Sciences)
• Philosophical Investigations