000 02654cam a2200349 i 4500
001 on1154072847
003 OCoLC
005 20231129152401.0
008 200506s2020 maua b 001 0 eng
010 _a 2020009876
020 _a9780262542234
_q(paperback)
020 _a0262542234
_q(paperback)
035 _a(OCoLC)1154072847
040 _aDLC
_beng
_erda
_cDLC
_dOCLCO
_dOCLCF
_dONB
_dYDX
_dGRG
_dPAU
_dAZZPT
_dOCLCO
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]
300 _axviii, 329 pages :
_billustrations (chiefly color) ;
_c23 cm
336 _atext
_btxt
_2rdacontent
337 _aunmediated
_bn
_2rdamedia
338 _avolume
_bnc
_2rdacarrier
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.
650 0 _aMathematics
_xPhilosophy.
_943617
697 _923786
_aLógica e Fundamentos 05-
_xFilosofia (inclusive Filosofia das Ciências e da Matemática em particular)
942 _2ddc
_cBK
_n0
948 _hNO HOLDINGS IN P5A - 40 OTHER HOLDINGS
999 _c39738
_d39738