PHILOSOPHICAL FOUNDATIONS OF INTUITIONISTIC LOGIC

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NABAVI L.; HOJATI M.; ALAEENEZHAD H.

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Journal: RESEARCH ON METAPHYSIK Year:2013 | Volume:48 | Issue:14 Page(s): 51-64

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Information Journal Paper

Title

PHILOSOPHICAL FOUNDATIONS OF INTUITIONISTIC LOGIC

Author(s)

NABAVI L. | HOJATI M. | ALAEENEZHAD H. | Issue Writer Certificate

Keywords

BROUWERQ2

INTUITIONISTIC LOGICQ2

INTUITIONISMQ2

BROUWER’S CONSTRUCTIONISMQ2

LAW OF EXCLUDED MIDDLEQ3

Abstract

Intuitionistic logic, as a non-classical logic, encompasses the principles of logical reasoning which were used by L. E. J. BROUWER in developing his intuitionistic mathematics. BROUWER rejected the principle of the excluded middle on the basis of his philosophy. In his philosophical view, logic is the application of mathematics to the language of mathematics. In other words, logic studies the patterns that characterize valid inference. The resulting linguistic system of logic may be studied mathematically, even independently of the mathematical activities that it was originally abstracted from. In this paper, the philosophical basis of BROUWER’s view about Logic and Mathematics is explained.

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APA: Copy

NABAVI, L., HOJATI, M., & ALAEENEZHAD, H.. (2013). PHILOSOPHICAL FOUNDATIONS OF INTUITIONISTIC LOGIC. RESEARCH ON METAPHYSIK, 48(14), 51-64. SID. https://sid.ir/paper/157412/en

Vancouver: Copy

NABAVI L., HOJATI M., ALAEENEZHAD H.. PHILOSOPHICAL FOUNDATIONS OF INTUITIONISTIC LOGIC. RESEARCH ON METAPHYSIK[Internet]. 2013;48(14):51-64. Available from: https://sid.ir/paper/157412/en

IEEE: Copy

L. NABAVI, M. HOJATI, and H. ALAEENEZHAD, “PHILOSOPHICAL FOUNDATIONS OF INTUITIONISTIC LOGIC,” RESEARCH ON METAPHYSIK, vol. 48, no. 14, pp. 51–64, 2013, [Online]. Available: https://sid.ir/paper/157412/en

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