Pragmatic concepts of valid inference and of implication

Studia Logica 13 (1):208-208 (1962)
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Abstract

The paper gives a tentative reconstruction of the classical theory of so called fallacious arguments. Its title refers to the following observations.One of the fallacies listed in traditional logic ispetitio principii. It seem natural to add to the list another, similar fallacy. An argumentationArg + considered as a part of a theoretical contextC commits this fallacy relatively toC, if it contains an inference such that the principle of this inference has not been proved inC. By principle of a given inference the conditional is meant whose antecedent and consequent are the conjuction of all the premisses and the conclusion of the inference respectively.If the principle of a given inference has been proved in a given contextC, the inference is valid relatively toC and the premisses are implying the conclusion relatively toC. Both these concepts, of valid inference and of implication do involve the concept of an effectively performed proof; hence they are pragmatic concepts

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