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  "body": "\n## Summary\n\n**Connexive logic** is a class of non-classical logics designed to exclude the paradoxes of material implication. The characteristic that separates connexive logic from other non-classical logics is its acceptance of **Aristotle's thesis**, i.e. the formula,\n\n$$\\lnot ( \\lnot p \\rightarrow p )$$\n\nas a logical truth. Aristotle's thesis asserts that no statement follows from its own denial. Stronger connexive logics also accept **Boethius' thesis**,\n\n$$(p \\rightarrow q) \\rightarrow \\lnot(p \\rightarrow \\lnot q)$$\n\nwhich states that if a statement implies one thing, it does not imply its opposite.\n",
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