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This rule of inference

This rule of inference is called modus ponens (because the only thing more pretentious than breaking out the formal logic is breaking out the Latin).

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as modus ponendo ponens (Latin for 'method of putting by placing'),[1] implication elimination, or affirming the antecedent,[2

In propositional logic, modus ponens (/ˈmoʊdəs ˈpoʊnɛnz/; MP), also known as modus ponendo ponens (Latin for 'method of putting by placing'),[1] implication elimination, or affirming the antecedent,[2] is a deductive argument form and rule of inference.[3]

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for affirming mode

Modus ponens' is Latin for affirming mode, and 'modus tollens' is Latin for denying mode.

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a logical rule of inference based on conditional propositions

Modus ponens ('mode of affirming') is a logical rule of inference based on conditional propositions.

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a fundamental rule of inference essentially justified by 'that's what implication means'

implies Q. Modus ponens is a fundamental rule of inference essentially justified by 'that's what implication means'.

a special case of resolution

In a logical or mathematical sence they are the same, but modus ponens is a special case of resolution.

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a valid form of deductive inference -

I agree that modus ponens is a valid form of deductive inference - if 1 and 2 are true for some value of p and q, then 3 is always true.

a valid rule of inference for propositional logic

Modus ponendo tollens (MPT; Latin: "mode that denies by affirming") is a valid rule of inference for propositional logic.

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the best-known rule of inference that is sound

Modus Ponens is the best-known rule of inference that is sound.

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as a valid form of inference

Modus ponens is normally viewed as a valid form of inference because under the assumption that the two premises are true, the conclusion must be true.

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as “a valid argument form/rule of inference” (Op. cit.,

Hurley defines modus ponens as “a valid argument form/rule of inference” (Op. cit., p. 538).

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A famous inference rule called modus ponens [http://en.wikipedia.org/wiki/Modus_ponens]

A famous inference rule called modus ponens [http://en.wikipedia.org/wiki/Modus_ponens] is part of a formal system called first-order logic [http://en.wikipedia.org/wiki/First-order_logic].

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implication elimination affirming the antecedent

'modus ponens'' (; MP), also known as ''modus ponendo ponens'' (Latin for 'method of putting by placing') or implication elimination or affirming the antecedent, is a deductive argument form and rule of inference.

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a fundamental logical argument form used in deductive reasoning

Modus Ponens is a fundamental logical argument form used in deductive reasoning.

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affirming the antecedent

* Modus ponens (affirming the antecedent), where one proceeds as follows:

from the fact that if a formula ⊤→F is provably true, where ⊤ is provably true, then F is provably true (by application of the rule of inference modus ponens)

MODUS-PONENS follows from the fact that if a formula ⊤→F is provably true, where ⊤ is provably true, then F is provably true (by application of the rule of inference modus ponens).

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