## Thinking Mathematically (6th Edition)

The sentence in "if...then" form is: If you follow Buddha’s “Middle Way,” then you are neither hedonistic nor ascetic.; The contrapositive of $p\rightarrow q$ is $\sim q\rightarrow \sim p$. The converse of $p\rightarrow q$ is $q \rightarrow p$. The inverse of $p\rightarrow q$ is $\sim p\rightarrow \sim q$. The negation of $p\rightarrow q$ is $p\land \sim q$. Hence here the converse is: If you are neither hedonistic nor ascetic, then you follow Buddha’s “Middle Way.” The inverse: If you do not follow Buddha’s “Middle Way,” then you are either hedonistic or ascetic. The contrapositive: If you are either hedonistic or ascetic, then you do not follow Buddha’s “Middle Way.” The negation: You follow Buddha’s “Middle Way” and you are either hedonistic or ascetic.