QUANTIFIERS OF PREDICATE IN DEVIATED PROPOSITIONS (LAWS OF PROPOSITIONS AND RULES OF SYLLOGISM)

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FALLAHI ASADULLAH

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Journal: MAAREF E AQLI Year:2013 | Volume:7 | Issue:3 (25) Page(s): 107-138

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Information Journal Paper

Title

QUANTIFIERS OF PREDICATE IN DEVIATED PROPOSITIONS (LAWS OF PROPOSITIONS AND RULES OF SYLLOGISM)

Author(s)

FALLAHI ASADULLAH | Issue Writer Certificate

Keywords

EVEN CONVERSIONQ2

THE FOUR QUANTIFIEDSQ2

THE EIGHT QUANTIFIEDSQ2

RULES OF EXPANSIONQ2

Abstract

Aristotle is the first logician who has introduced a “quantifier for predicate” and assessed the truth and falsity of propositions with a quantifier in their predicates. Avicenna has referred to these propositions as ‘deviated propositions’, explaining the laws of contradiction among them. He has, however, not mentioned any other rules that govern deviated propositions. Deviated propositions are divided into two groups; those that are parallel to one of the Aristotelian quarter quantifieds and those that are not as such. Combined together, these two groups constitute eight quantifieds. The relation among then can be illustrated through ‘a cube of opposition’. By formulating these eight quantifieds in modern logic, one can easily show that all these quantifieds have EVEN CONVERSIONs. This article shows that the rules of the Four Figures for these quantifieds are the same as the ‘rules of expansion of syllogism’. There is no need for a particular set of laws for every figure, though it is possible to relate for every figure its related rules.

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APA: Copy

FALLAHI, ASADULLAH. (2013). QUANTIFIERS OF PREDICATE IN DEVIATED PROPOSITIONS (LAWS OF PROPOSITIONS AND RULES OF SYLLOGISM). MAAREF E AQLI, 7(3 (25)), 107-138. SID. https://sid.ir/paper/152995/en

Vancouver: Copy

FALLAHI ASADULLAH. QUANTIFIERS OF PREDICATE IN DEVIATED PROPOSITIONS (LAWS OF PROPOSITIONS AND RULES OF SYLLOGISM). MAAREF E AQLI[Internet]. 2013;7(3 (25)):107-138. Available from: https://sid.ir/paper/152995/en

IEEE: Copy

ASADULLAH FALLAHI, “QUANTIFIERS OF PREDICATE IN DEVIATED PROPOSITIONS (LAWS OF PROPOSITIONS AND RULES OF SYLLOGISM),” MAAREF E AQLI, vol. 7, no. 3 (25), pp. 107–138, 2013, [Online]. Available: https://sid.ir/paper/152995/en

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