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.
true
Proof!
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
An Inverse statement is one that negates the hypothesis by nature. This will result into negation of the conclusion of the original statement.
This is not always true.
false
The converse of an inverse is the contrapositive, which is logically equivalent to the original conditional.
In terms of propositional calculus (logic), the converse of "if A then B" is "if B then A". The inverse is "if not A then not B". The converse and inverse are contra-positives of each other, and therefore logically equivalent. Answer 1 ======= In terms of optical lensing, converse lenses will be thicker in the center where inverse lenses will be thinner in the center. Converse bends outward. Inverse bends inward.
NO
true
true
Proof!
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.
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
An Inverse statement is one that negates the hypothesis by nature. This will result into negation of the conclusion of the original statement.
converse is a shoe. you want the inverse, and you're an idiot.
conditional and contrapositive + converse and inverse