000			03102nam a22003257a 4500
999			_c73307 _d73307
003			CITU
005			20230215092731.0
007			cr an aaaaaaaa
008			210816b ||||| |||| 00| 0 eng d
020			_a9780511910616
041			_aeng.
082			_a510
245			_aSet theory, arithmetic, and foundations of mathematics : _btheorems, philosophies / _cedited by Juliette Kennedy, Roman Kossak.
264		1	_aCambridge: _bCambridge University Press, _cc2011
300			_a1 online resource (xiii, 227 pages) : _billustrations ;
336			_2rdacontent _atext _btext
337			_2rdamedia _acomputer _bc
338			_2rdacarrier _aonline resource _bcr
504			_aIncludes bibliographical references.
505			_aHistorical remarks on Suslin?s problem / Akihiro Kanamori -- The continuum hypothesis, the generic-multiverse of sets, and the [OMEGA] conjecture / W. Hugh Woodin -- [omega]-Models of finite set theory / Ali Enayat and James H. Schmerl and Albert Visser -- Tennenbaum?s theorem for models of arithmetic / Richard Kaye -- Hierarchies of subsystems of weak arithmetic / Shahram Mohsenipour -- Diophantine correct open induction / Sidney Raffer -- Tennenbaum?s theorem and recursive reducts / James H. Schmerl -- History of constructivism in the 20th century / A.S. Troelstra -- A very short history of ultrafinitism / Rose M. Cherubin and Mirco A. Mannucci -- Sue Toledo?s notes of her conversations with Gödel in 1972-1975 / Sue Toledo -- Stanley Tennenbaum?s Socrates / Curtis Franks -- . Tennenbaum?s proof of the irrationality of [the square root of] 2́ / Jouko Väänänen.
520			_a"This collection of papers from various areas of mathematical logic showcases the remarkable breadth and richness of the field. Leading authors reveal how contemporary technical results touch upon foundational questions about the nature of mathematics. Highlights of the volume include: a history of Tennenbaum?s theorem in arithmetic; a number of papers on Tennenbaum phenomena in weak arithmetics as well as on other aspects of arithmetics, such as interpretability; the transcript of Gödel?s previously unpublished 1972-1975 conversations with Sue Toledo, along with an appreciation of the same by Curtis Franks; Hugh Woodin?s paper arguing against the generic multiverse view; Anne Troelstra?s history of intuitionism through 1991; and Aki Kanamori?s history of the Suslin problem in set theory. The book provides a historical and philosophical treatment of particular theorems in arithmetic and set theory, and is ideal for researchers and graduate students in mathematical logic and philosophy of mathematics"
650		0	_aSet theory.
650		0	_aLogic, Symbolic and mathematical.
650		0	_aMathematics _xPhilosophy.
655		0	_aElectronic books.
700	1		_aKennedy, Juliette. _d1955-
700	1		_aKossak, Roman. _d1953-
856			_yFull text available at Cambridge University Press Click here to view _uhttps://www.cambridge.org/core/books/set-theory-arithmetic-and-foundations-of-mathematics/BE08C6CD4ADCD1CE9DCB71DFF007C5B5
942			_2ddc _cER