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TY  - BOOK
ID  - 8135046
TI  - Epistemology versus ontology : essays on the philosophy and foundations of mathematics in honour of Per Martin-Lof
AU  - Dybjer, Peter.
AU  - Martin-Lof, Per.
PY  - 2012
SN  - 9401782385 940074434X 9786613798930 9400744358 1282056980
PB  - Dordrecht [The Netherlands] : Springer,
DB  - UniCat
KW  - Consciousness.
KW  - Parapsychology.
KW  - Constructive mathematics
KW  - Ontology
KW  - Mathematics
KW  - Philosophy
KW  - Philosophy & Religion
KW  - Physical Sciences & Mathematics
KW  - Logic
KW  - Mathematical Theory
KW  - Philosophy.
KW  - Logic of mathematics
KW  - Mathematics, Logic of
KW  - Epistemology.
KW  - Logic.
KW  - Ontology.
KW  - Mathematics.
KW  - History.
KW  - Mathematical logic.
KW  - Mathematical Logic and Foundations.
KW  - History of Mathematical Sciences.
KW  - Algebra of logic
KW  - Logic, Universal
KW  - Mathematical logic
KW  - Symbolic and mathematical logic
KW  - Symbolic logic
KW  - Algebra, Abstract
KW  - Metamathematics
KW  - Set theory
KW  - Syllogism
KW  - Annals
KW  - Auxiliary sciences of history
KW  - Math
KW  - Science
KW  - Being
KW  - Metaphysics
KW  - Necessity (Philosophy)
KW  - Substance (Philosophy)
KW  - Argumentation
KW  - Deduction (Logic)
KW  - Deductive logic
KW  - Dialectic (Logic)
KW  - Logic, Deductive
KW  - Intellect
KW  - Psychology
KW  - Reasoning
KW  - Thought and thinking
KW  - Epistemology
KW  - Theory of knowledge
KW  - Mental philosophy
KW  - Humanities
KW  - Methodology
KW  - Logic, Symbolic and mathematical.
KW  - Genetic epistemology.
KW  - Developmental psychology
KW  - Knowledge, Theory of
KW  - Martin-Löf, Per,
KW  - Löf, Per Martin-,
KW  - Martin-Löf, P.
UR  - https://www.unicat.be/uniCat?func=search&query=sysid:8135046
AB  - 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 Martin-Löf type theory. Associated philosophical foundations are meaning theories in the tradition of Wittgenstein, Dummett, Prawitz and Martin-Löf. What is the relation between proof-theoretical semantics in the tradition of Gentzen, Prawitz, and Martin-Löf and Wittgensteinian or other accounts of meaning-as-use? What can proof-theoretical analyses tell us about the scope and limits of constructive and predicative mathematics?
ER  -