Write in the form “if p, then q” in English. To get tenure as a professor, it is sufficient to be world famous.

Question

Write this statement in the form “if p, then q” in English

To get tenure as a professor, it is sufficient to be world famous.

• By definition of sufficient, $p$ sufficient $q$ where $p$ is Hypothesis and $q$ is Conclusion

• By definition of conditional Statement, if $p$ then $q$ where $p$ is Hypothesis and $q$ is conclusion

Let
$p :$ get tenure as a professor;
$q :$ be world famous;

"If you get tenure as a professor, you will be famous."

Why is this wrong?

Answer 1

Go back to your first line

P sufficient Q where P is Hypothesis and Q is Conclusion

and compare it to

it is sufficient to be world famous

Thus being world famous is sufficient...

Answer 2

If you say

"To get tenure as a professor,it is sufficient to be world famous"

Then this means that if you are world famous, then this is enough to be a professor.

Thus, here, "being famous = $P$" and "get tenure" = $Q$, and

$$P \implies Q $$.

$P$ is sufficient for $Q$ to be true.