This would be logically equivalent to the conditional you started with.
if the statement is : if p then q converse: if q then p inverse: if not p then not q contrapositive: if not q then not
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.
Switching the hypothesis and conclusion of a conditional statement.
true
A conditional statement is true if, and only if, its contrapositive is true.
The converse of an inverse is the contrapositive, which is logically equivalent to the original conditional.
conditional and contrapositive + converse and inverse
This would be logically equivalent to the conditional you started with.
A biconditional is the conjunction of a conditional statement and its converse.
A biconditional is the conjunction of a conditional statement and its converse.
conditional and contrapositive + converse and inverse
conditional and contrapositive + converse and inverse
conditional and contrapositive + converse and inverse
if the statement is : if p then q converse: if q then p inverse: if not p then not q contrapositive: if not q then not
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.
It is the biconditional.