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.
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Review: Philosophy of Mathematics: Selected ReadingsUser Review - Mitchell - Goodreads
This was a collection of essays organized around a few of the major themes in early 20th century mathematical philosophy, such as formalism vs. intuitionism, the nature of mathematical truth, etc. The ... Read full review
Review: Philosophy of Mathematics: Selected ReadingsUser Review - Alec Julien - Goodreads
A must-have book, if you're a student of the philosophy of mathematics. This was THE anthology of important essays when it came out, and remained so for a lot of years. As an historical map of the phil-math terrain, this book is essential. Read full review