Document Type : Letter to Editor

Author

• Ali Reza Darabi

Abstract

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This paper presents an analysis to cogent conditional quantifier. There are various approaches to the analysis of conditional quantifier. Some researchers have called this pseudo-quantifier and other authors have interpreted it as being based on temporal logic; or modal logic. In this paper after investigating and criticizing these approaches, we analyze instances of the cogent conditional quantifier in natural language. Then we determined their formulation in modern logic. Also we have investigated the presuppositions in the ancient logic. The truth of that logic deduction is based on those presuppositions. In the current approach, it becomes clear that the cogent conditional quantifier can only be analyzed on the basis of relevant logic and modal logic. Also for truth of deductions, acceptance of two presuppositions "the possibility of the antecedent" and "the necessity of relevance of the antecedent and the consequence in the universals" is necessary.
 
 
 

Keywords

• Keywords: Cogent conditional quantifier
• relevant logic
• Modal logic
• Second-order logic