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What is the philosophical basis of intuitionistic mathematics?

1995
Publisher Summary This chapter explores the philosophical basis of intuitionistic mathematics. There are insights in intuitionism that are found nowhere else in the philosophy of mathematics; insights that ought to be preserved, clarified, and extended. Chief among these is the idea that a proof is a mental construction.
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The Foundations of Intuitionistic Mathematics.

The American Mathematical Monthly, 1967
H. E. Kyburg, S. C. Kleene, R. E. Vesley
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Negationless Intuitionistic Mathematics. IVa

Indagationes Mathematicae (Proceedings), 1951
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Axioms for Intuitionistic Mathematics Incompatible with Classical Logic

1977
Standard formalizations of constructive mathematics (’constructive’ here in the narrow sense of Bishop (1967): choice sequences are regarded as inacceptable, and Church’s thesis is not assumed) can be carried out in formal systems based on intuitionistic logic which become classical formal systems on addition of the principle of the excluded third. The
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Logic of Negationless Intuitionistic Mathematics

Indagationes Mathematicae (Proceedings), 1951
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Intuitionistic $$L$$ -fuzzy ideals of $$BG$$ -algebras

Afrika Matematika, 2013
Monoranjan Bhowmik   +2 more
exaly  

Intuitionistic fuzzy competition graphs

Journal of Applied Mathematics and Computing, 2015
Sankar Sahoo   +2 more
exaly  

Intuitionistic fuzzy finite state machines

Journal of Applied Mathematics and Computing, 2005
Young Bae Jun, Jun Young Bae
exaly  

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