PHILOSOPHY OF THE LOGIC OF MATHEMATICS

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ZAKYANI GH.R.

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Journal Paper

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Journal: JOURNAL OF HUMANITIES Year:2005 | Volume:14 | Issue:50 Page(s): 69-86

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Title

PHILOSOPHY OF THE LOGIC OF MATHEMATICS "THE AXIOMATIC PRINCIPLE APPROACH"

Author(s)

ZAKYANI GH.R. | Issue Writer Certificate

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Abstract

The calculative foundation of mathematical logic is propositional calculus. Propositional calculus consists of two layers: the surface layer which is the approach of truth foundation; and the underlying layer which is the approach of the axiomatic method. In this paper, the underlying layer of interpreting calculus which is the approach to the axiomatic method will be analyzed. In this article, in addition to introducing the axiomatic method, its two fundamental characters are also examined. The first is the common inferential rule. I have tried to make clearer in this part that modus ponens is the inferential essence of retional system on the one hand and is common for all of them on the other. The other characteristic is its ability of plurality. In this article I have also declared that logic as reasoning not only doesnt need axiomatic method but also this approach discard logic its inferential essence and determines it as a special science.

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References

منطق حملی بر اساس ضرب Ferio

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APA: Copy

ZAKYANI, GH.R.. (2005). PHILOSOPHY OF THE LOGIC OF MATHEMATICS "THE AXIOMATIC PRINCIPLE APPROACH". JOURNAL OF HUMANITIES, 14(50), 69-86. SID. https://sid.ir/paper/13834/en

Vancouver: Copy

ZAKYANI GH.R.. PHILOSOPHY OF THE LOGIC OF MATHEMATICS "THE AXIOMATIC PRINCIPLE APPROACH". JOURNAL OF HUMANITIES[Internet]. 2005;14(50):69-86. Available from: https://sid.ir/paper/13834/en

IEEE: Copy

GH.R. ZAKYANI, “PHILOSOPHY OF THE LOGIC OF MATHEMATICS "THE AXIOMATIC PRINCIPLE APPROACH",” JOURNAL OF HUMANITIES, vol. 14, no. 50, pp. 69–86, 2005, [Online]. Available: https://sid.ir/paper/13834/en

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