Denying The Antecedent

Denying The Antecedent or Inverse Error is a #202206172053 where one draw their conclusion from premises by replacing the premise \(p \rightarrow q\) by its inverse. From 202205062055# we know that the inverse of the conditional statement is not logically equivalence# to itself. The following shows its form:

$$ \begin{align} &p \rightarrow q \\ &\sim p \\ \therefore \ &\sim q \end{align} $$

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