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    A metal is an element (A = AB) — Carmelics
    Home/Philosophy of Language
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    Supports→A non-element is a non-metal

    A metal is an element (A = AB)

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    Related propositions within the same area of thought.
    A non-element is a non-metalABb = 0 (ABb is a contradiction)The law of duality implies b = Ab or abTherefore b = ab (a non-element is a non-metal)

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    A non-element is a non-metal83%Therefore b = ab (a non-element is a non-metal)79%Tr is always a predicate of a metalanguage, not of the object language...77%Therefore R cannot be an element of A (for any class A).75%

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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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