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No, the opposite of a definition is certainly not always true. That would depend on the definitions and the meaning of the opposite.
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Is the converse of the law of syllogism true?
Not always
Is the converse of a biconditional statement always true?
Yes
The converse and inverse of a conditional statement are logically equivalent?
This is not always true.
If a statement is true is it converse also true?
Not necessarily. If the statement is "All rectangles are polygons", the converse is "All polygons are rectangles." This converse is not true.
Any convergent sequence is a Cauchy sequence is converse true?
no converse is not true
Is the converse of a true if-then statement always true?
No.
Is the converse of a true conditional statment is always true?
yes it is
Is the converse of the law of syllogism true?
Not always
What is a true statement that combines a true conditional statement and its true converse?
always true
What is a true statement that combines a true conditional statement and is its true converse?
always true
Is the converse of a biconditional statement always true?
Yes
If you are hungry then you are not happy is assumed to be true is its converse If you are not happy then you must be hungry also always true?
No, the converse of a statement does not necessarily have to be true. In this case, the original statement "If you are hungry then you are not happy" does not imply that its converse "If you are not happy then you must be hungry" is always true. It is possible to be unhappy for reasons other than hunger.
Is the converse of a true conditional statement always false?
No. Consider the statement "If I'm alive, then I'm not dead." That statement is true. The converse is "If I'm not dead, then I'm alive.", which is also true.
The converse and inverse of a conditional statement are logically equivalent?
This is not always true.
If the statement If I am hungry then I am not happy is assumed to be true is its converse If I am not happy then I must be hungry also always true?
The Answer: NO
If the statement If it is cold then you wear a jacket is assumed to be true is its converse If you wear a jacket then it must be cold also always true?
No, it must not be true.
If a statement is true is it converse also true?
Not necessarily. If the statement is "All rectangles are polygons", the converse is "All polygons are rectangles." This converse is not true.
