02227nam 2200505Ia 450 991078284160332120230607222611.01-383-03834-11-281-77012-497866117701290-19-156726-4(CKB)1000000000722163(EBL)422880(OCoLC)476260200(Au-PeEL)EBL422880(CaPaEBR)ebr10269105(CaONFJC)MIL177012(MiAaPQ)EBC422880(EXLCZ)99100000000072216320020624d2002 uy 0engur|n|---|||||The limits of abstraction[electronic resource] /Kit FineOxford Clarendon Press20021 online resource (214 p.)Description based upon print version of record.0-19-924618-1 0-19-953363-6 Includes bibliographical references and indexes.Contents; Introduction; I. Philosophical Introduction; II. The Context Principle; III. The Analysis of Acceptability; IV. The General Theory of Abstraction; References; Main Index; Index of First Occurrence of Formal Symbols and DefinitionsKit Fine develops a Fregean theory of abstraction, and suggests that it may yield a new philosophical foundation for mathematics, one that can account for both our reference to various mathematical objects and our knowledge of various mathematical truths. The Limits of Abstraction breaks new ground both technically and philosophically. - ;What is abstraction? To what extent can it account for the existence and identity of abstract objects? And to what extent can it be used as a foundation for mathematics? Kit Fine provides rigorous and systematic answers to these questions along the linAbstractionMathematicsPhilosophyAbstraction.MathematicsPhilosophy.510.1510/.1Fine Kit858613MiAaPQMiAaPQMiAaPQBOOK9910782841603321The limits of abstraction3792288UNINA