LOGICISM

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The Resolution of the Great 20th Century Debate in the Foundations of Mathematics被引量:1
《Advances in Pure Mathematics》2016年第3期144-158,共15页Edgar E. Escultura 
The paper resolves the great debate of the 20th century between the three philosophies of mathematics-logicism, intuitionism and formalism—founded by Bertrand Russell and A. N. Whitehead, L. E. J. Brouwer and David H...
关键词:Axiom of Choice Banach-Tarski Paradox Goldbach’s Conjecture LOGICISM CONSTRUCTIVISM Fermat’s Conjecture Field Axioms Formalism Qualitative Modelling Rational Thought SELF-REFERENCE 
Conceptions of Intuition in Poincar6's Philosophy of Mathematics
《Journal of Philosophy Study》2012年第6期384-397,共14页Olga Pombo 
The aim of this paper is to contribute to the identification and characterization of the various types of intuition put forward by Poincar6, taking his texts as a laboratory for looking for what intuition might be. I ...
关键词:Poincar6 INTUITION Poincar6's philosophy of mathematics LOGICISM FORMALISM conventionalism Kant LEIBNIZ PEIRCE 
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