Connexive logic names one class of alternative, or non-classical, logics designed to exclude the so-called 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,
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.