Affirming the Consequent

Posted in Statistics, Total Reads: 1993

Definition: Affirming the Consequent

Affirming the Consequent is a logical fallacy (error) where the converse statement is inferred as true from a logical statement. This kind of argument is invalid. This fallacy is also known as Converse error or fallacy of the converse.


Consequent: The part of a conditional statement whose truth is conditional. (Generally followed by then)

Antecedent:  The part of conditional statement which precedes the Consequent

If statement P [ANTECEDENT], then statement Q [CONSEQUENT]

As per the converse error, Q is true then necessarily P also has to be true. (Which does not follow logically?). In fact, the only inference that can be made is: If non-Q, then non-P.

Statement: If I am Rich, I have a car

Converse error: If I have a car, means I am rich

Logic: I can have car even if I am not rich. There are a hundred ways to have a car. Being rich is just one of the ways to have a car

Correct Conclusion: If I don’t have a car, I am not rich



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