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)
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