ON APPLICATIONS OF TRUTH-VALUE CONNECTIVES FOR TESTING ARGUMENTS WITH NATURAL CONNECTIVES

in Essays in Logic and Ontology
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In introductory logic courses the authors often limit their considerations to the truthvalue operators. Then they write that conditionals and biconditionals of natural language (“if” and “if and only if”) may be represented as material implications and equivalences, respectively. Yet material implications are not suitable for conditionals. Lewis’ strict implications are much better for this purpose. Similarly, strict equivalences are better for representing biconditionals (than material equivalences). In this paper we prove that the methods from standard first courses in logic can be used for testing arguments with strict implications, strict equivalences and other operators which may represent connectives from natural language.

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