Abstract

In this paper we emphasize, the importance of Linguistics in Classical Logic and its extended and generalized form ―a branch of Mathematics Fuzzy Logic‖. Both are the basic building blocks of Mathematics. The Classical logic deals with propositions which can be either true or false but not both (vague or inexact concepts). Whereas Fuzzy Logic deals with propositions which can be true or false, as well as they can take all the values between true and false. We propose the basic aspects of propositional logic (PL). The PL has advantage of being capable of interpreting in English Language. Just as in English Language grammar is used to generate sentences, in PL too grammar is used to generate well –formed propositions which are analogues of sentences. We construct the well – formed propositions and develop reasoning theory utilizing basic logical connectives. The study of PL consists of grammar, dictionary meaning, inference rules and valuations.

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References

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