Connexive logic
Connexive logic names one class of alternative, or non-classical, logics designed to exclude the so-called paradoxes of material implication. (Other logical theories with the same agenda include relevance logic, also known as relevant logic.) The characteristic that separates connexive logic from other non-classical logics is its acceptance of Aristotle's Thesis, i.e. the formula,
* ~(~p → p) as a logical truth. Aristotle's Thesis asserts that no statement follows from its own denial. Stronger connexive logics also accept Boethius' Thesis,
* ((p → q) → ~(p → ~q))
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Connexive logic
Connexive logic names one class of alternative, or non-classical, logics designed to exclude the so-called paradoxes of material implication. (Other logical theories with the same agenda include relevance logic, also known as relevant logic.) The characteristic that separates connexive logic from other non-classical logics is its acceptance of Aristotle's Thesis, i.e. the formula,
* ~(~p → p) as a logical truth. Aristotle's Thesis asserts that no statement follows from its own denial. Stronger connexive logics also accept Boethius' Thesis,
* ((p → q) → ~(p → ~q))
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Connexive logic names one clas ...... t does not imply its opposite.
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Connexive logic names one clas ...... esis,
* ((p → q) → ~(p → ~q))
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Connexive logic
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