antecedent

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antecedent

1. Logic the hypothetical clause, usually introduced by "if", in a conditional statement: that which implies the other
2. Maths an obsolescent name for numerator
3. denying the antecedent Logic the fallacy of inferring the falsehood of the consequent of a conditional statement, given the truth of the conditional and the falsehood of its antecedent, as if there are five of them, there are more than four: there are not five, so there are not more than four

antecedent

[′an·tə‚sēd·ənt]
(mathematics)
The numerator of a ratio.
The first of the two statements in an implication.
For an integer, n, that is greater than 1, the preceding integer, n- 1.