Mathematical  Culture and Thought

Mathematical Culture and Thought


‎Brown‎, ‎J‎. ‎R.‎, Philosophy of Mathematics‎: ‎A Contemporary Introduction to the World of Proofs and Pictures‎, ‎Routledge‎, ‎New York‎, ‎2008‎.
 
‎Carter‎, ‎J.‎, ‎Structuralism as a philosophy of mathematical practice‎, Synthese‎, 163 (2008)‎, ‎119--131‎.
 
‎Davis‎, ‎M.‎, The Universal Computer: The Road from Leibniz to Turing‎, ‎W‎. ‎W‎. ‎Norton & Company‎, ‎New York‎, ‎2000‎.
 
‎Detlefsen‎, ‎M.‎, ‎Brouwerian intuitionism‎, Mind‎, ‎New Series‎, 99 (1990)‎, ‎501--534‎.
 
‎Feferman‎, ‎S.‎, ‎The impact of Gödel's incompleteness theorems on mathematics‎, Notices of the American Mathematical Society‎, 53 (2006)‎, ‎434--439‎.
 
‎George‎, ‎A.‎, ‎Velleman‎, ‎D.‎,  Philosophies of Mathematics‎, ‎BlackWell Publishing‎, ‎Oxford‎, ‎2002‎.
 
 
‎Gillies‎, ‎D.‎, ‎German philosophy of mathematics from Gauss to Hilbert‎, Royal Institute of Philosophy Supplements}‎, 44 (1999)‎, ‎167--192‎.
 
‎Girard‎, ‎J.-Y.‎, Proof Theory and Logical Complexity‎, ‎Bibliopolis‎, ‎Napoli‎, ‎1987‎.
 
‎Reck‎, ‎E‎. ‎H.‎, ‎Frege‎, ‎Dedekind‎, ‎and the origins of logicism‎, History and Philosophy of Logic, 34 (2013)‎, ‎242--265‎.
 
‎Tait‎, ‎W‎. ‎W.‎, ‎Frege versus Cantor and Dedekind‎: ‎On the concept of number:
‎url{http://home.uchicago.edu/~wwtx/frege.cantor.dedekind.pdf}‎.
 
‎Trolestra‎, ‎A‎. ‎S.‎, ‎van Dalen‎, ‎D.‎, Constructivism in Mathematics (vols‎. ‎1‎, ‎2)‎, ‎Elsevier‎, ‎Amsterdam‎, ‎1988‎.
 
 
‎Moschovakis‎, ‎J‎. ‎R.‎, ‎Vafeiadou‎, ‎G.‎, ‎Intuitionistic mathematics and logic:
‎url{http://www.math.ucla.edu/~joan/gvfjrmeng.pdf}‎
 
‎Raatikainen‎, ‎Panu‎, Gödel's incompleteness theorems,  ‎in  Edward N‎. ‎Zalta (ed.)‎, ‎The Stanford Encyclopedia of Philosophy: url{https://plato.stanford.edu/archives/spr2015/entries/goedel-incompleteness}‎.
 
 

  • Receive Date 03 June 2018
  • Publish Date 22 May 2018