What type of hypothetical syllogism is the following? if $p$ , then $q$
not p
not $q$

Name: What type of hypothetical syllogism is the following? if $p$, then $q$ not p not $q$
Brand: Quizplus
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Question

What type of hypothetical syllogism is the following? if $p$, then $q$ not p not $q$

Quizplus · Accepted Answer

This syllogism is invalid because it commits the fallacy of denying the antecedent. The correct form should be "if $p$, then $q$; not $q$; therefore, not $p$" for modus tollens, or "if $p$, then $q$; $p$; therefore, $q$" for modus ponens. Denying the antecedent (not $p$) does not logically lead to the conclusion (not $q$).

What Type of Hypothetical Syllogism Is the Following? If ppp , Then

What Type of Hypothetical Syllogism Is the Following? If $p$ , Then