000 02254nam a22003618i 4500
001 CR9781139171618
003 UkCbUP
005 20200124160304.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 111013s1982||||enk o ||1 0|eng|d
020 _a9781139171618 (ebook)
020 _z9780521245098 (hardback)
020 _z9780521287616 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA248
_b.H27 1982
082 0 0 _a510
_219
100 1 _aHamilton, A. G.,
_d1943-
_eauthor.
245 1 0 _aNumbers, sets, and axioms :
_bthe apparatus of mathematics /
_cA.G. Hamilton.
246 3 _aNumbers, Sets & Axioms
264 1 _aCambridge :
_bCambridge University Press,
_c1982.
300 _a1 online resource (ix, 255 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 05 Oct 2015).
520 _aFollowing the success of Logic for Mathematicians, Dr Hamilton has written a text for mathematicians and students of mathematics that contains a description and discussion of the fundamental conceptual and formal apparatus upon which modern pure mathematics relies. The author's intention is to remove some of the mystery that surrounds the foundations of mathematics. He emphasises the intuitive basis of mathematics; the basic notions are numbers and sets and they are considered both informally and formally. The role of axiom systems is part of the discussion but their limitations are pointed out. Formal set theory has its place in the book but Dr Hamilton recognises that this is a part of mathematics and not the basis on which it rests. Throughout, the abstract ideas are liberally illustrated by examples so this account should be well-suited, both specifically as a course text and, more broadly, as background reading. The reader is presumed to have some mathematical experience but no knowledge of mathematical logic is required.
650 0 _aArithmetic
_xFoundations.
650 0 _aSet theory.
650 0 _aNumber theory.
776 0 8 _iPrint version:
_z9780521245098
856 4 0 _uhttps://doi.org/10.1017/CBO9781139171618
999 _c520560
_d520558