Necessity and sufficiency
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| - | A '''proof''' is [[Necessity and sufficiency|sufficient]] [[evidence]] or an [[argument]] for the [[truth]] of a [[proposition]]. | + | In [[logic]], '''''necessity''''' and '''''sufficiency''''' refer to the implicational relationships between [[Statement (logic)|statements]]. The assertion that one statement is a ''necessary and sufficient'' condition of another means that the former statement is true [[if and only if]] the latter is true. |
| - | == See also == | ||
| - | * [[Mathematical proof]] | + | ==See also== |
| - | * [[Proof theory]] | + | * [[Causality]] |
| - | * [[Proof of concept]] | + | * [[Material implication]] |
| - | * [[Provability logic]] | + | * [[Wason selection task]] |
| - | * [[Evidence]], information which tends to determine or demonstrate the truth of a proposition | + | * [[Closed concept]] |
| - | * [[Proof procedure]] | + | |
| - | * [[Proof complexity]] | + | |
| + | ===Argument forms involving necessary and sufficient conditions=== | ||
| + | ====Valid forms of argument==== | ||
| + | * [[Modus ponens]] | ||
| + | * [[Modus tollens]] | ||
| + | |||
| + | ====Invalid forms of argument (i.e. fallacies)==== | ||
| + | * [[Affirming the consequent]] | ||
| + | * [[Denying the antecedent]] | ||
| {{GFDL}} | {{GFDL}} | ||
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In logic, necessity and sufficiency refer to the implicational relationships between statements. The assertion that one statement is a necessary and sufficient condition of another means that the former statement is true if and only if the latter is true.
Contents |
See also
Argument forms involving necessary and sufficient conditions
Valid forms of argument
Invalid forms of argument (i.e. fallacies)
Unless indicated otherwise, the text in this article is either based on Wikipedia article "Necessity and sufficiency" or another language Wikipedia page thereof used under the terms of the GNU Free Documentation License; or on research by Jahsonic and friends. See Art and Popular Culture's copyright notice.
