bivalence sentence in Hindi
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- Contradicting the principle of bivalence, Buridan implies a system of three-valued logic in which there are three truth values-- " true ", " false ", and some indeterminate third value.
- This response to the paradox is, in effect, the rejection of the claim that every statement has to be either true or false, also known as the principle of bivalence, a concept related to the law of the excluded middle.
- In an article also titled " Is Logic Empirical ?, " Michael Dummett argues that Putnam's desire for realism mandates distributivity : the principle of distributivity is essential for the realist's understanding of how propositions are true of the world, in just the same way as he argues the principle of bivalence is.
- Secondly, to be able to apply truth tables to describe a connective depends upon distributivity : a truth table is a disjunction of conjunctive possibilities, and the validity of the exercise depends upon the truth of the whole being a consequence of the bivalence of the propositions, which is true only if the principle of distributivity applies.
- In several axiomatic derivations of logic, this is effectively resolved by showing that ( P ( " �P ) and its negation are constants, and simply defining TRUE as ( P ( " �P ) and FALSE as ?( P ( " �P ), without taking a position as to the principle of bivalence or the law of excluded middle.
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