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.

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  • 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, (→ ~) which states that if a statement implies one thing, it does not imply its opposite.
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  • 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.
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  • Connexive logic
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