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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The problem of the logical and epistemological foundations of mathematics has not yet been completely solved. Lire la première page
Couverture | Copyright | Table des matières | Extrait | Quatrième de couverture
The problem of the logical and epistemological foundations of mathematics has not yet been completely solved. Lire la première page
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5.0 étoiles sur 5
Excellent standard selection
11 mars 2011
Par Flash Sheridan
- Publié sur Amazon.com
Format:Broché
This is an excellent standard selection of classic works in the field; indeed, by now, that is something of a self-fulfilling prophecy, since inclusion in this anthology is approximately the definition of classic. The essays cover a broad range of positions, many of which (of course) I disagree with. But they're almost all well worth reading--my particular favorite is the unpopular part of Godel's Platonism, which is a useful antidote to overconfidence that these matters are settled.
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5.0 étoiles sur 5
Most rewarding read
5 octobre 2012
Par Lisa P. Maguire
- Publié sur Amazon.com
Format:Broché|Achat authentifié par Amazon
The pro comments (that the book is definitive) as well as the con (that one needs some background in logic, math, phil to understand it) are both correct. I have a bare bones undergraduate grasp of philosophical issues & my math is inadequate, therefore I found numerous passages just in the introduction that challenged my patience, intelligence (such as it is) & will to absorb. My conclusion, however, is that the reward-to-work ratio is greater in this text than any other book I know of in contemporary philosophy. The results of the labor required has been an added measure of humility and enlightenment. In fact, I wish I could trade years I devoted to Nietzsche, Heidegger, Derrida, Foucault, Ayer, Rorty and even Wittgenstein (as pleasurable as all that was at the time) to get to this work earlier.
No sterile polemics, Benacerraf & Putnam simply highlight the questions, the positions, the conundrums, & the costs of holding the various positions in these compelling debates around mathematical truth & understanding.
This book is my vote for heavyweight champ in 20th century philosophy.
No sterile polemics, Benacerraf & Putnam simply highlight the questions, the positions, the conundrums, & the costs of holding the various positions in these compelling debates around mathematical truth & understanding.
This book is my vote for heavyweight champ in 20th century philosophy.
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3.0 étoiles sur 5
Good compilation if you have the background
25 janvier 2008
Par Isaac Adams
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Format:Broché
Don't try reading this book if you have little background with analytic philosophy, logic, and math. Although you're unlikely to be interested in it if you don't have that background. Some great works about the nature of mathematics are included here but make sure you have the background or it won't make sense.
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