000			01970nam a22003378i 4500
001			CR9780511624919
003			UkCbUP
005			20200124160251.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090916s1996||||enk o ||1 0|eng|d
020			_a9780511624919 (ebook)
020			_z9780521496926 (hardback)
020			_z9780521624985 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA8.4 _b.H56 1996
082	0	0	_a511.3 _220
100	1		_aHintikka, Jaakko, _d1929- _eauthor.
245	1	4	_aThe principles of mathematics revisited / _cJaakko Hintikka.
264		1	_aCambridge : _bCambridge University Press, _c1996.
300			_a1 online resource (xii, 288 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
500			_aTitle from publisher's bibliographic system (viewed on 01 Feb 2016).
520			_aThis book, written by one of philosophy's pre-eminent logicians, argues that many of the basic assumptions common to logic, philosophy of mathematics and metaphysics are in need of change. It is therefore a book of critical importance to logical theory. Jaakko Hintikka proposes a new basic first-order logic and uses it to explore the foundations of mathematics. This new logic enables logicians to express on the first-order level such concepts as equicardinality, infinity, and truth in the same language. The famous impossibility results by Gödel and Tarski that have dominated the field for the last sixty years turn out to be much less significant than has been thought. All of ordinary mathematics can in principle be done on this first-order level, thus dispensing with the existence of sets and other higher-order entities.
650		0	_aMathematics _xPhilosophy.
650		0	_aFirst-order logic.
776	0	8	_iPrint version: _z9780521496926
856	4	0	_uhttps://doi.org/10.1017/CBO9780511624919
999			_c519472 _d519470