In propositional logic, modus ponens (/ˈmoʊdəs ˈpoʊnɛnz/; MP), also known as modus ponendo ponens (from Latin 'method of putting by placing'), implication...

(derived by modus ponens) Likewise, every use of modus ponens can be converted to a use of modus tollens and transposition. The modus tollens rule can...

In classical logic, disjunctive syllogism (historically known as modus tollendo ponens (MTP), Latin for "mode that affirms by denying") is a valid argument...

modus ponens, not to be mistaken with modus tollens, which is another valid argument form that has a like-sounding name and structure. Modus ponens (sometimes...

inference for propositional logic. It is closely related to modus ponens and modus tollendo ponens. MPT is usually described as having the form: Not both A...

conclusion (or conclusions). For example, the rule of inference called modus ponens takes two premises, one in the form "If p then q" and another in the...

hypothetical syllogism either affirms the antecedent (modus ponens) or denies the consequent (modus tollens). An invalid hypothetical syllogism either affirms...

contrast to modus ponens, reasoning with modus tollens goes in the opposite direction to that of the conditional. The general expression for modus tollens...

criminal profiler Latin phrases Modus ponens – Rule of logical inference Modus tollens – Rule of logical inference Modus vivendi – Arrangement that allows...

by modus ponens) A → ( B → A ) {\displaystyle A\to (B\to A)}       (instance of (A1)) A → A {\displaystyle A\to A}       (from (4) and (3) by modus ponens)...