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101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aPhilosophy's Loss of Logic to Mathematics $eAn Inadequately Understood Take-Over /$fby Woosuk Park
205   $a1st ed. 2018.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018.
215   $a1 online resource (XII, 230 p.) 
225 1 $aStudies in Applied Philosophy, Epistemology and Rational Ethics,$x2192-6263 ;$v43
311 08$a3-319-95146-7 
327   $aIntroduction -- Frege?s Distinction Between ?Falling Under? and ?Subordination? -- Scotus, Frege and Bergmann -- Zermelo and the Axiomatic Method -- Between Bernays and Carnap -- On the Motivations of Goedel's Ontological Proof -- The Ontological Regress of Maddy's Mathematical Naturalism -- What If Haecceity Is Not a Property? -- Epilogue.
330   $aThis book offers a historical explanation of important philosophical problems in logic and mathematics, which have been neglected by the official history of modern logic. It offers extensive information on Gottlob Frege?s logic, discussing which aspects of his logic can be considered truly innovative in its revolution against the Aristotelian logic. It presents the work of Hilbert and his associates and followers with the aim of understanding the revolutionary change in the axiomatic method. Moreover, it offers useful tools to understand Tarski?s and Gödel?s work, explaining why the problems they discussed are still unsolved. Finally, the book reports on some of the most influential positions in contemporary philosophy of mathematics, i.e., Maddy?s mathematical naturalism and Shapiro?s mathematical structuralism. Last but not least, the book introduces Biancani?s Aristotelian philosophy of mathematics as this is considered important to understand current philosophical issue in the applications of mathematics. One of the main purposes of the book is to stimulate readers to reconsider the Aristotelian position, which disappeared almost completely from the scene in logic and mathematics in the early twentieth century. .
410  0$aStudies in Applied Philosophy, Epistemology and Rational Ethics,$x2192-6263 ;$v43
606   $aLogic
606   $aMathematics
606   $aHistory
606   $aMathematics$xPhilosophy
606   $aMathematical logic
606   $aKnowledge, Theory of
606   $aLogic
606   $aHistory of Mathematical Sciences
606   $aPhilosophy of Mathematics
606   $aMathematical Logic and Foundations
606   $aEpistemology
615  0$aLogic.
615  0$aMathematics.
615  0$aHistory.
615  0$aMathematics$xPhilosophy.
615  0$aMathematical logic.
615  0$aKnowledge, Theory of.
615 14$aLogic.
615 24$aHistory of Mathematical Sciences.
615 24$aPhilosophy of Mathematics.
615 24$aMathematical Logic and Foundations.
615 24$aEpistemology.
676   $a510.1
700   $aPark$b Woosuk$4aut$4http://id.loc.gov/vocabulary/relators/aut$0980215
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910300616103321
996   $aPhilosophy's Loss of Logic to Mathematics$92296094
997   $aUNINA