VALIDITY TEST FOR KR RELEVANCE LOGIC

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FALLAHI ASADOLLAH

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Journal Paper

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Journal: Ma`rifat Falsafi Year:2011 | Volume:9 | Issue:1 (33) Page(s): 39-71

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Information Journal Paper

Title

VALIDITY TEST FOR KR RELEVANCE LOGIC

Author(s)

FALLAHI ASADOLLAH | Issue Writer Certificate

Keywords

RELEVANCE TESTINGQ2

RELEVANCE LOGICQ2

KR LOGICQ2

R LOGICQ2

CONCOMITANT HYPOTHETICAL PROPOSITIONSQ2

RELEVANT CONCOMITANCEQ2

Abstract

The most important type of conditionals, in Ibn Sina's logic, is "concomitant hypothetical propositions". The nearest conditional element of the modern logic to this type of conditionals is "relevant concomitance". That part of modern logic that deals with such concomitance is called, "relevance logic".There is a debate among RELEVANCE LOGICians on whether accepting a contradiction implies any arbitrary proposition. In other words, is a contradictory proposition related to any arbitrary proposition? A positive answer leads to a logic called "KR", which benefits from a simpler and more intuitive semantic, compared to other RELEVANCE LOGICs which reject concluding arbitrary propositions from contradiction.Determining the validity of arguments in various systems and semantics of RELEVANCE LOGIC is a difficult task, which is rarely dealt with in the literature of RELEVANCE LOGIC. Inspired by Hughes’ and Cresswell's valuation method in modal logic, called "RELEVANCE TESTING", the author in this article suggests a RELEVANCE TESTING for KR LOGIC, and shows its use through some examples.

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APA: Copy

FALLAHI, ASADOLLAH. (2011). VALIDITY TEST FOR KR RELEVANCE LOGIC. MARIFAT-I FALSAFI, 9(1 (33)), 39-71. SID. https://sid.ir/paper/124008/en

Vancouver: Copy

FALLAHI ASADOLLAH. VALIDITY TEST FOR KR RELEVANCE LOGIC. MARIFAT-I FALSAFI[Internet]. 2011;9(1 (33)):39-71. Available from: https://sid.ir/paper/124008/en

IEEE: Copy

ASADOLLAH FALLAHI, “VALIDITY TEST FOR KR RELEVANCE LOGIC,” MARIFAT-I FALSAFI, vol. 9, no. 1 (33), pp. 39–71, 2011, [Online]. Available: https://sid.ir/paper/124008/en

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