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The inverse and the converse of a conditional are logically equivalent to each other, just as the conditional and its contrapositive are logically equivalent to each other. [1] But the inverse of a conditional cannot be inferred from the conditional itself (e.g., the conditional might be true while its inverse might be false [2]). For example ...
Conversion (the converse), "If I wear my coat, then it is raining ." The converse is actually the contrapositive of the inverse, and so always has the same truth value as the inverse (which as stated earlier does not always share the same truth value as that of the original proposition).
In logic and mathematics, the converse of a categorical or implicational statement is the result of reversing its two constituent statements. For the implication P → Q, the converse is Q → P. For the categorical proposition All S are P, the converse is All P are S. Either way, the truth of the converse is generally independent from that of ...
Inverse (logic), a type of conditional sentence which is an immediate inference made from another conditional sentence Additive inverse, the inverse of a number that, when added to the original number, yields zero
Conversely, any choice of , , and for matrix of this form is a generalized inverse of . [1] The { 1 , 2 } {\displaystyle \{1,2\}} -inverses are exactly those for which Z = Y Σ 1 X {\displaystyle Z=Y\Sigma _{1}X} , the { 1 , 3 } {\displaystyle \{1,3\}} -inverses are exactly those for which X = 0 {\displaystyle X=0} , and the { 1 , 4 ...
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When considering where to put your money for retirement, you may have to choose between an IRA and an annuity. These financial “vehicles” are set up to ensure guaranteed income down the road ...
Confusion of the inverse, also called the conditional probability fallacy or the inverse fallacy, is a logical fallacy whereupon a conditional probability is equated with its inverse; that is, given two events A and B, the probability of A happening given that B has happened is assumed to be about the same as the probability of B given A, when there is actually no evidence for this assumption.