law of excluded middle sentence in Hindi

Examples

1. In constructive set theory, where the law of excluded middle does not necessarily hold, one can consider the relation'subquotient of'as replacing the usual order relation ( s ) on cardinals.
2. Because of the change in designated values relative to the WHERE clause, from a logic perspective the law of excluded middle is a tautology for CHECK constraints, meaning CHECK ( " p"
3. :Bishop's preoccupation with the extirpation of the law of excluded middle led him to criticize classical mathematics as a whole in as vitriolic a manner as his criticism of non-standard analysis.
4. Where someone questions the law of excluded middle " in-world "-- does that mean that possibly there ARE no actual truth statements in the world ? ( In a binary sense ).
5. In constructive set theory, however, Diaconescu's theorem shows that the axiom of choice implies the law of excluded middle ( unlike in Martin-L�f type theory, where it does not ).
6. Certain resolutions of these paradoxes, particularly Graham Priest's dialetheism as formalised in LP, have the law of excluded middle as a theorem, but resolve out the Liar as both true and false.
7. The principle of bivalence is related to the law of excluded middle though the latter is a syntactic expression of the language of a logic of the form " P ( " & not; P ".
8. On the other hand, the law of excluded middle P \ vee ( \ neg P ) expands to P \ vee ( P \ to \ bot ), and in general has no proof.
9. It is characterized by rejecting the law of excluded middle : as a consequence it does not in general accept rules such as double negation elimination and the use of reductio ad absurdum to prove the existence of something.
10. The initials " RCA " stand for " recursive comprehension axiom ", where " recursive " means " computable ", as in constructivism because it is a theory in classical logic including the law of excluded middle.