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- W102448063 abstract "Connexive implication is a type of implication first defined in the 4th Century B.C., a time of active debate when it was said that the very crows on the rooftops were croaking about what conditionals were true. In Sextus Empiricus’ Outlines of Pyrrhonism, which discusses four varieties of implication, including [1] material (Philonian) and [2] strict (Diodorean) implication, we read:” “[3] And those who introduce the notion of connection say that a conditional is sound when the contradictory of its consequent is incompatible with its antecedent.” [Kneale, 1962, 129] It follows from this definition that no conditional of the form “If p then not-p” can be true, since the contradictory of not-p, i.e. p, is never incompatible with p. Accepting this in turn requires that “compatibility” be essentially a relational concept, and that whether or not A is compatible with B cannot be determined by examining A and B separately. Thus even “p& ˜ p” is not incompatible with itself, and “If p& ˜ p, then not-(p& ˜ p)” is connexively false." @default.
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- W102448063 date "2012-01-01" @default.
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- W102448063 title "A History Of Connexivity" @default.
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