000 | 02654cam a2200349 i 4500 | ||
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001 | on1154072847 | ||
003 | OCoLC | ||
005 | 20231129152401.0 | ||
008 | 200506s2020 maua b 001 0 eng | ||
010 | _a 2020009876 | ||
020 |
_a9780262542234 _q(paperback) |
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020 |
_a0262542234 _q(paperback) |
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035 | _a(OCoLC)1154072847 | ||
040 |
_aDLC _beng _erda _cDLC _dOCLCO _dOCLCF _dONB _dYDX _dGRG _dPAU _dAZZPT _dOCLCO |
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042 | _apcc | ||
082 | 0 | 0 |
_a510.1 _bH222l |
090 | _alf5 | ||
100 | 1 |
_aHamkins, Joel David, _eauthor. _4aut |
|
245 | 1 | 0 |
_aLectures on the philosophy of mathematics / _cJoel David Hamkins. |
264 | 1 |
_aCambridge, Massachusetts : _bThe MIT Press, _c[2020] |
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300 |
_axviii, 329 pages : _billustrations (chiefly color) ; _c23 cm |
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336 |
_atext _btxt _2rdacontent |
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337 |
_aunmediated _bn _2rdamedia |
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338 |
_avolume _bnc _2rdacarrier |
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504 | _aIncludes bibliographical references and indexes. | ||
520 |
_a"An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations. Hamkins shows, for example, how number systems set the stage for discussions of such philosophical issues as platonism, logicism, and the nature of abstraction. Consideration of the rise of rigor in the calculus leads to a discussion of whether the indispensability of mathematics in science offers grounds for mathematical truth. Sophisticated technical developments in set theory give rise to a necessary engagement with deep philosophical concerns, including the criteria for new mathematical axioms. Throughout, Hamkins offers a clear and engaging exposition that is both accessible and sophisticated, intended for readers whose mathematical backgrounds range from novice to expert"-- _cProvided by publisher. |
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650 | 0 |
_aMathematics _xPhilosophy. _943617 |
|
697 |
_923786 _aLógica e Fundamentos 05- _xFilosofia (inclusive Filosofia das Ciências e da Matemática em particular) |
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942 |
_2ddc _cBK _n0 |
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948 | _hNO HOLDINGS IN P5A - 40 OTHER HOLDINGS | ||
999 |
_c39738 _d39738 |