a deductive argument form and rule of inference

C \to can be shown that with only these three axiom schemata and '' modus ponens In propositional logic, ''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.

an inference rule that allows us to deduce new propositions from old ones

The difference is that this tautology is a single proposition, whereas modus ponens is an inference rule that allows us to deduce new propositions from old ones.

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 (from Latin 'method of putting by placing'),[1] implication elimination, or affirming the antecedent,[2] is a deductive argument form and rule of inference.[3]

a special case of resolution

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

the way that affirms by affirming

In Latin, modus ponens means, “the way that affirms by affirming.”

a logical rule of inference based on conditional propositions

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

valid form of argument

Modus ponens is closely related to another valid form of argument, modus tollens.

a form of valid inference

Modus Ponens (Latin: mode that affirms; often abbreviated as MP) is a form of valid inference.

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

In propositional logic, modus ponens (/ˈmoʊdəs ˈpoʊnɛnz/; 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.

Affirming the Antecedent

The more obvious of the valid arguments is Affirming the Antecedent, which is called modus ponens.

an invalid form of argument

This logic is paraconsistent but has some undesirable consequences: modus ponens is an invalid form of argument.

For example In propositional logic

For example, the rule of ... modus ponens In propositional logic, ''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.

one of the syllogisms which are a form of a deductive reasoning

Modus Ponens is one of the syllogisms which are a form of a deductive reasoning.

as ''modus ponendo ponens'' (Latin for 'method of putting by placing') or or

'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.

a specific use that only applies to acknowledged truths After all modus ponens means to affirm through affirming

Modus ponens has a specific use that only applies to acknowledged truths After all modus ponens means to affirm through affirming.

the antecedent (also known as modus ponens)

Affirming the antecedent (also known as modus ponens) means that if A is true, and A implies B, then B will be true.

hypothetical logic

Modus ponens and modus tollens are the two true forms of hypothetical logic.

The classic, Aristotelian argument form

The classic, Aristotelian argument form is called modus ponens, which means: to affirm the antecedent.

dances about ritual

Modus Ponens is part of a triptych of dances about ritual.

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].