Relation To modus Ponens
Every use of modus tollens can be converted to a use of modus ponens and one use of transposition to the premise which is a material implication. For example:
- If P, then Q. (premise -- material implication)
- If Q is false, then P is false. (derived by transposition)
- Q is false. (premise)
- Therefore, P is false. (derived by modus ponens)
Likewise, every use of modus ponens can be converted to a use of modus tollens and transposition.
Read more about this topic: Modus Tollens
Famous quotes containing the words relation to and/or relation:
“The difference between objective and subjective extension is one of relation to a context solely.”
—William James (1842–1910)
“Hesitation increases in relation to risk in equal proportion to age.”
—Ernest Hemingway (1899–1961)