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Translations for „biconditional“ in the English » German Dictionary (Go to German » English)

biconditional (logical operator) COMPUT, MATH

material biconditional N

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material biconditional (logical operator) COMPUT, MATH

Monolingual examples (not verified by PONS Editors)

English
In that case, in the conditional, the result is true, yet in the biconditional the result is false.
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However, it is cloudy if it is raining is not meant as a biconditional, since it can be cloudy while not raining.
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Alternative names for biconditional are iff, xnor and bi-implication.
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The rule makes it possible to introduce a biconditional statement into a logical proof.
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In other words, the contrapositive is logically equivalent to a given conditional statement, though not sufficient for a biconditional.
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Except for negation and biconditional, its truth tables are all different from the above.
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In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements.
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Biconditional introduction is the converse of biconditional elimination.
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The corresponding logical operations are known, respectively, as conjunction, disjunction, material conditional, biconditional, and negation.
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There is clearly no logical equivalence between the two halves of this particular biconditional.
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