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    ABb = 0 (ABb is a contradiction) — Carmelics
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    Supports→A non-element is a non-metal

    ABb = 0 (ABb is a contradiction)

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    A metal is an element (A = AB)A non-element is a non-metalThe law of duality implies b = Ab or abTherefore b = ab (a non-element is a non-metal)

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    This yields a contradiction: H+L > H and H > H+L.84%That which involves a contradiction is false83%A contradiction cannot be true83%Ascribing a straight contradiction to Aristotle should be avoided if p...81%

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    SEP: william-jevons
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    Indirect inference or indirect deduction consists of pointing out “what a thing is, by showing that it cannot be anything else”. According to Jevons this is an important method, since “nearly half our logical conclusions rest upon its employment”. The simplest form of indirect inference starts from A = AB. The law of duality implies that b = Ab ·|· ab, or by substitution b = ABb ·|· ab. Since ABb = 0 (a contradiction), it follows that b = ab. Hence, if a metal is an element, it follows that a n

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