The following statement is
a tautology
Explanation for the correct option:
Explain the negation in tautology for the given statement
Given,
Tautology: A tautology is a logical statement in which the conclusion is equivalent to the premise. More colloquially, it is formula in propositional calculus which is always true.
Using this table we can clearly able to see that the given statement is a tautology.
p | q | ||||
T | T | T | T | T | T |
T | F | F | T | F | T |
F | T | T | T | T | T |
F | F | T | F | T | T |
Here , option is correct because is equivalent to T ( true ) and all the values in the last column are true. So , is a tautology.
Explanation for the in-correct option:
Since all the values in the last column are true, hence the given statement is a tautology.
Here , option is discarded because is equivalent to T ( true ) . So , is not equivalent to .
Here , option is discarded because is equivalent to T ( true ) . So , is not equivalent to .
Here , option is discarded because is equivalent to T ( true ) and all the values in the last column are true. So , is not a fallacy.
Hence , the given statement is a tautology.