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When the negation of the hypothesis is switched with the conclusion, this is referred to as contrapositive. When the hypothesis and the conclusion are switched, this is called converse.

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A is the negation and interchanging of the hypothesis and conclusion?

Contrapositive


What is Negation of both the hypothesis and conclusion?

Proof!


Is the continuum hypothesis true?

Continuum hypothesis was proven, with an proving method called "forcing", to be undecidable under commonly accepted axioms of the set theory. This means that neither continuum hypothesis nor it's negation follows from this axioms just like one axiom (or it's negation) in some consistent axiomatic system does not follow from other axioms. Therefore, continuum hypothesis or it's negation could be added as an additional axiom to existing commonly accepted axioms of the set theory.


What the definition of contrapositive?

A proposition or theorem formed by contradicting both the subject and predicate or both the hypothesis and conclusion of a given proposition or theorem and interchanging them.


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What is negation of biconditional statement?

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Is The inverse is the negation of the converse?

No, the inverse is not the negation of the converse. Actually, that is contrapositive you are referring to. The inverse is the negation of the conditional statement. For instance:P → Q~P → ~Q where ~ is the negation symbol of the sentence symbols.