Closed concept
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| - | + | A '''closed concept''' is a concept where all the [[necessary and sufficient conditions]] required to include something within the concept can be listed. For example, the concept of a [[triangle]] is closed because a three-sided polygon, and only a three-sided polygon, is a triangle. All the conditions required to call something a triangle can be, and are, listed. | |
| - | 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. | + | |
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| ==See also== | ==See also== | ||
| - | * [[Causality]] | ||
| - | * [[Material implication]] | ||
| - | * [[Wason selection task]] | ||
| - | * [[Closed concept]] | ||
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| - | ===Argument forms involving necessary and sufficient conditions=== | ||
| - | ====Valid forms of argument==== | ||
| - | * [[Modus ponens]] | ||
| - | * [[Modus tollens]] | ||
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| - | ====Invalid forms of argument (i.e. fallacies)==== | ||
| - | * [[Affirming the consequent]] | ||
| - | * [[Denying the antecedent]] | ||
| - | |||
| + | * [[Continuum fallacy]] | ||
| {{GFDL}} | {{GFDL}} | ||
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A closed concept is a concept where all the necessary and sufficient conditions required to include something within the concept can be listed. For example, the concept of a triangle is closed because a three-sided polygon, and only a three-sided polygon, is a triangle. All the conditions required to call something a triangle can be, and are, listed.
See also
Unless indicated otherwise, the text in this article is either based on Wikipedia article "Closed concept" 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.
