A logical argument of the form: If P, then Q. The Latin translation is roughly, removing by taking away.
Modus tollens Logic:
If P, then Q
Not P is true
Therefore Not Q is true
Using if A, then B, we have A = Not P and B = Not Q
P is the antecedent and Q is the consequent. If the antecedent is not true, the consequence is not true.
Modus tollens Notation:
!P → !Q
Truth Table demonstrating Modus tollens:
The fourth line of the table below shows Modus tollens
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Shows Modus Tollens definition and examples
What 1 formula is used for the Modus Tollens Calculator?
What 7 concepts are covered in the Modus Tollens Calculator?
- a word used to connect clauses or sentences or to coordinate words in the same clause
- a binary connective classically interpreted as a truth function the output of which is true if at least one of the input sentences (disjuncts) is true, and false otherwise
- the state or property of being equivalent.
- modus tollens
- If conditional statement if not p then not q
!p --> !q
- reverses the truth value of a given statement.
- a declarative sentence that is either true or false (but not both)
- truth table
- a table that shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it is constructed.
Modus Tollens Calculator Video
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