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BICONDIT
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The answer BICONDIT has 0 possible clue(s) in existing crosswords.
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Definitions of bicondit in various dictionaries:
BICONDIT - Biconditional elimination is the name of two valid rules of inference of propositional logic. It allows for one to infer a conditional from a bicondi...
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Biconditional elimination is the name of two valid rules of inference of propositional logic. It allows for one to infer a conditional from a biconditional. If * * * * ( * P * ↔ * Q * ) * * * {\displaystyle (P\leftrightarrow Q)} * is true, then one may infer that * * * * ( * P * → * Q * ) * * * {\displaystyle (P\to Q)} * is true, and also that * * * * ( * Q * → * P * ) * * * {\displaystyle (Q\to P)} * is true. For example, if it's true that I'm breathing if and only if I'm alive, then it's true that if I'm breathing, I'm alive; likewise, it's true that if I'm alive, I'm breathing. The rules can be stated formally as:* * * * * * * ( * P * ↔ * Q * ) * * * ∴ * ( * P * → * Q * ) * * * * * * {\displaystyle {\frac {(P\leftrightarrow Q)}{\therefore (P\to Q)}}} * and * * * * * * * * ( * P * ↔ * Q * ) * * * ∴ * ( * Q * → * P * ) * * * * * * {\displaystyle {\frac {(P\leftrightarrow Q)}{\therefore (Q\to P)}}} * where the rule is that wherever an instance of " * * * * ( * P * ↔ * Q * ) * * * {\displaystyle (P\leftrightarrow Q)} * " appears on a line of a proof, either " * * * * ( * P * → * Q * ) * * * {\displaystyle (P\to Q)} * " or " * * * * ( * Q * → * P * ) * * * {\displaystyle (Q\to P)} * " can be placed on a subsequent line; |
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