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affirmin
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There are 8 letters in AFFIRMIN ( A1F4I1M3N1R1 )
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Definitions of affirmin in various dictionaries:
AFFIRMIN - Affirming the consequent, sometimes called converse error, fallacy of the converse or confusion of necessity and sufficiency, is a formal fallacy of ...
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| Affirming the consequent, sometimes called converse error, fallacy of the converse or confusion of necessity and sufficiency, is a formal fallacy of inferring the converse from the original statement. For example, "My driveway is wet, so it must be raining" is an example of this fallacy (someone may have turned on a hose). The fallacious statement is based on the true statement that "if it is raining, then the driveway is wet", but is a fallacy because the order of cause and effect have been reversed. * The corresponding argument has the general form:* * * * * * * P * → * Q * , * Q * * * ∴ * P * * * * * * {\displaystyle {\frac {P\to Q,Q}{\therefore P}}} * An argument of this form is invalid, i.e., the conclusion can be false even when statements 1 and 2 are true. Since P was never asserted as the only sufficient condition for Q, other factors could account for Q (while P was false).To put it differently, if P implies Q, the only inference that can be made is non-Q implies non-P. (Non-P and non-Q designate the opposite propositions to P and Q.) This is known as logical contraposition. Symbolically: * * * * * ( * P * → * Q * ) * ↔ * ( * ¬ * Q * → * ¬ * P * ) * * * {\displaystyle (P\to Q)\leftrightarrow (\neg Q\to \neg P)} * * The name affirming the consequent derives from the premise Q, which affirms the "then" clause of the conditional premise. |