IMPOSSIBLE EXTENSIONS AND THE LOGIC OF THE CONCEPTS

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FALLAHI ASADOLLAH

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Journal Paper

Paper Information

Journal: FALSAFEH (THE IRANIAN JOURNAL OF PHILOSOPHY) Year:2012 | Volume:39 | Issue:2 Page(s): 163-184

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Information Journal Paper

Title

IMPOSSIBLE EXTENSIONS AND THE LOGIC OF THE CONCEPTS

Author(s)

FALLAHI ASADOLLAH | Issue Writer Certificate

Keywords

VERITY-PROPOSITIONSQ3

IBN-SINAQ2

AL-KHUNAJIQ2

AL-ABHARIQ1

IMPOSSIBLE EXTENSIONSQ2

SECOND-ORDER LOGICQ2

Abstract

A controversy among the Muslim philosophers about the domain of the extensions was that is the subject of the VERITY-PROPOSITIONS contained the IMPOSSIBLE EXTENSIONS or only all of the actual and possible ones. From IBN-SINA to AL-KHUNAJI, there are explicit texts to the former view; but later logicians, starting with Athir Al-Din AL-ABHARI, were inclined to the latter. In this paper, we attampt to support IBN-SINA and AL-KHUNAJI's view versus AL-ABHARI's. For this, we take the extensions as sets of concepts. If an extension is a set of inconsistent concepts we'll regard it impossible and name its logic ‘the logic of the concepts’. For systematizing the logic, we introduce semantics similar to that of predicate logic and construct a formal system in the first-order language. We show that the logical system can be collapsed to a fraction of the SECOND-ORDER LOGIC, concluding that IBN-SINA and AL-KHUNAJI's view can be supported by the SECOND-ORDER LOGIC.

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APA: Copy

FALLAHI, ASADOLLAH. (2012). IMPOSSIBLE EXTENSIONS AND THE LOGIC OF THE CONCEPTS. FALSAFEH (THE IRANIAN JOURNAL OF PHILOSOPHY), 39(2), 163-184. SID. https://sid.ir/paper/93732/en

Vancouver: Copy

FALLAHI ASADOLLAH. IMPOSSIBLE EXTENSIONS AND THE LOGIC OF THE CONCEPTS. FALSAFEH (THE IRANIAN JOURNAL OF PHILOSOPHY)[Internet]. 2012;39(2):163-184. Available from: https://sid.ir/paper/93732/en

IEEE: Copy

ASADOLLAH FALLAHI, “IMPOSSIBLE EXTENSIONS AND THE LOGIC OF THE CONCEPTS,” FALSAFEH (THE IRANIAN JOURNAL OF PHILOSOPHY), vol. 39, no. 2, pp. 163–184, 2012, [Online]. Available: https://sid.ir/paper/93732/en

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