Modus Tollendo Ponens
Modus tollendo ponens
(literally:
mode which, by denying, affirms
) is a
valid
, simple
argument form
:
P or Q
Not P
Therefore, Q
An English language example:
Either Jim's in the library, or he's in the pub.
But he's not in the library.
So he must be in the pub.
Unlike
modus ponendo ponens
and
modus tollendo tollens
, with which it should not be confused, MTP is often not made an explicit rule or axiom of logical systems, as the above arguments can be proven with a (slightly devious) combination of
reductio ad absurdum
and
disjunction elimination
. MTP should also not be confused with
modus ponendo tollens
.
External link
*
Proof of MTP
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