Question

Let p be the proposition “All politicians are rich.”, q be “Mike is a politician.” , and r be “Mike is rich.” Express r ∨(~ q → r)

Answer 1

Explanation:

The expression r ∨ (~q → r) can be expressed in English as "Mike is rich or if Mike is not a politician, then Mike is rich."

The first part, "Mike is rich," represents the truth value of the proposition r. The second part, "q → r," is a conditional statement that can be read as "if not q (Mike is not a politician), then r (Mike is rich)." The negation symbol () in this conditional statement represents "not."

Note: The underline should be crossing out what it underlines

Therefore, the entire expression can be read as "Mike is rich or if Mike is not a politician, then Mike is rich."