PLATONISM IN PHILOSOPHY OF MATHEMATICS

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ALAVI NIA S.

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Journal: JOURNAL OF HUMAN SCIENCES Year:2003 | Volume:- | Issue:36 Page(s): 105-126

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Information Journal Paper

Title

PLATONISM IN PHILOSOPHY OF MATHEMATICS

Author(s)

ALAVI NIA S. | Issue Writer Certificate

Keywords

PLATONQ3

PLATONISMQ4

MATHEMATICQ4

MATHEMATIC PHILOSOPHYQ4

HILBERTQ4

GODENQ4

FREGEQ4

Abstract

According to the PLATONist a MATHEMATICal object, such as a number or a set, is an abstract object. These objects are thought to be non-physical, non-mental and acausal. MATHEMATICal PLATONism is the view that there exist such objects and that our theories describe them. What I am going to say in this paper is that at the moment, there is no decisive argument for or against MATHEMATICal PLATONism. I go through the main arguments of FREGE, Godel and Quine in favour of PLATONism and try to refute it by E. P. R. thought experiment. At this stage, I advance the Copenhagen interpretation of quantum phenomena to support my argument. By discussing HILBERT's formalism and Field's factionalism, I then continue to show how the views of anti-PLATONists could be advocated. I conclude that there is no fact of the matter as to whether there are abstract objects or there are not.

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APA: Copy

ALAVI NIA, S.. (2003). PLATONISM IN PHILOSOPHY OF MATHEMATICS. JOURNAL OF HUMAN SCIENCES, -(36), 105-126. SID. https://sid.ir/paper/66789/en

Vancouver: Copy

ALAVI NIA S.. PLATONISM IN PHILOSOPHY OF MATHEMATICS. JOURNAL OF HUMAN SCIENCES[Internet]. 2003;-(36):105-126. Available from: https://sid.ir/paper/66789/en

IEEE: Copy

S. ALAVI NIA, “PLATONISM IN PHILOSOPHY OF MATHEMATICS,” JOURNAL OF HUMAN SCIENCES, vol. -, no. 36, pp. 105–126, 2003, [Online]. Available: https://sid.ir/paper/66789/en

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