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Logical biconditional - Wikipedia, the free encyclopedia
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Biconditional introduction - Wikipedia, the free encyclopedia
In mathematical logic, biconditional introduction is the rule of inference that, if B follows from A, and A follows from B, then A if and only if B. For example, from the statements "if I'm breathin...
en.wikipedia.org/wiki/Biconditional_introduction |
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Biconditional elimination - Wikipedia, the free encyclopedia
Biconditional elimination allows one to infer a conditional from a biconditional: if ( A ↔ B ) is true, then one may infer either direction of the biconditional, ( A → B ) and ( B → A ). For example,...
en.wikipedia.org/wiki/Biconditional_elimination |
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The Biconditional statement ... If two simple statements p and q are connected by the connective 'if and only if', then the resulting compound statement is called the biconditional statement. Symbolically it is represented by p q. Example: An integer is even if and only if it is divisibl..
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The statement p q is defined to be the statement (p q) (q p). For this reason, the double headed arrow is called the biconditional. We get the truth table for p q by constructing the table for (p q) (q p), which gives us the following.
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Sci-Tech Dictionary: biconditional statement ... Each conditional is true Write its converse If the converse is also true combine the statements as a biconditional If 2x plus 12 equals 16 then x equals 2? Read answer...
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Statement Forms: Biconditional Statements ... As the example makes clear, a statement of the form, p q, which is called a biconditional, is equivalent to the conjunction (p q) (q p). The truth table for the biconditional is:
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