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.
 
‎Benacerraf‎, ‎P.‎, ‎`What numbers could not be'‎, ‎in‎: Philosophy of Mathematics‎: ‎Selected Readings‎,  ‎Benacerraf‎, ‎P.‎,  ‎Putnam‎, ‎H‎. ‎(eds.)‎, ‎272--294‎, ‎Cambridge University Press‎, ‎Cambridge‎, ‎1983‎.
 
Benacerraf-Truth
‎Benacerraf‎, ‎P.‎, ‎`Mathematical truth'‎, ‎in‎: Philosophy of Mathematics‎: ‎Selected Readings‎,  ‎Benacerraf‎, ‎P.‎,  ‎Putnam‎, ‎H‎. ‎(eds.)‎, ‎403--420‎, ‎Cambridge University Press‎, ‎Cambridge‎, ‎1983‎.
 
‎Carter‎, ‎J.‎, ‎Structuralism as a philosophy of mathematical practice‎, Synthese‎, 163 (2008)‎, ‎119--131‎.
 
‎Chang‎, ‎C‎. ‎C.‎, ‎Keisler‎, ‎H‎. ‎J.‎, Model Theory‎: ‎Studies in Logic and the Foundations of Mathematics, ‎North-Holland Publishing Company‎, ‎Amsterdam‎, ‎1990‎.
 
 
‎Feferman‎, ‎S.‎, ‎`Logic‎, ‎mathematics‎, ‎and conceptual structuralism'‎, ‎in‎:  The Metaphysics of Logic}‎, ‎Rush‎, ‎P‎. ‎(ed.)‎, ‎Cambridge University Press‎, ‎Cambridge‎, ‎2014‎.
 
 
‎Flegg‎, ‎G.‎, Numbers‎: ‎Their History and Meaning, ‎Penguin Books‎, ‎1983‎.
 
‎Kleiner‎, ‎I.‎, A History of Abstract Algebra‎, ‎Birkh"{a}user‎, ‎Boston‎, ‎2007‎.
 
‎Koenigsmann‎, ‎J.‎, ‎Defining $mathbb{Z}$ in $mathbb{Q}$‎,        Annals of Math.‎, 183 (2016)‎, ‎73--93‎.
 
‎Nodelman‎, ‎U.‎, ‎Zalta‎, ‎E‎. ‎N.‎, ‎Foundations for mathematical structuralism‎,  Mind‎, {123/489} (2014)‎, ‎39–78‎.
 
‎Parsons‎, ‎C.‎, ‎Structuralism and Nominalism‎, ‎in‎: Mathematical Thought and its Objects‎, ‎40--79‎, ‎Cambridge University Press‎, ‎Cambridge‎, ‎2007‎.
 
‎Poincaré‎, ‎H. Science and Hypothesis‎, ‎Walter Scott Publishing Company‎, ‎New York‎, ‎1905‎.
 
‎Resnik‎, ‎M.‎, Mathematics as a Science of Patterns‎, ‎Clarendon Press‎, ‎Oxford‎, ‎1997‎.
 
‎Schmidt‎, ‎Heinz-Juergen‎, ‎`Structuralism in physics'‎, The Stanford Encyclopedia of Philosophy (Winter 2014 edn.)‎,  ‎Zalta‎, ‎Edward N‎. ‎(ed.):\ https://plato.stanford.edu/archives/win2014/entries/physics-structuralism‎.
 
Shapiro‎, ‎S.‎,   Philosophy of Mathematics‎: ‎Structure and Ontology‎, ‎Oxford University Press‎, ‎Oxford‎, ‎1997‎.

  • Receive Date 03 November 2018
  • Publish Date 23 October 2018