This book brings together philosophers, mathematicians and logicians to penetrate important problems in the philosophy and foundations of mathematics. In philosophy, one has been concerned with the opposition between constructivism and classical mathematics and the different ontological and epistemological views that are reflected in this opposition. The dominant foundational framework for current mathematics is classical logic and set theory with the axiom of choice (ZFC). This framework is, however, laden with philosophical difficulties. One important alternative foundational programme that is actively pursued today is predicativistic constructivism based on MartinLof type theory. Associated philosophical foundations are meaning theories in the tradition of Wittgenstein, Dummett, Prawitz and MartinLof. What is the relation between prooftheoretical semantics in the tradition of Gentzen, Prawitz, and MartinLof and Wittgensteinian or other accounts of meaningasuse? What can prooftheoretical analyses tell us about the scope and limits of constructive and predicative mathematics?
About Peter Dybjer
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Author  :  Peter Dybjer 
Publisher  :  Springer 
Data Published  :  09 August 2014 
ISBN  :  9401782385 
EAN  :  9789401782388 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  388 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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