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There are two senses of the word “or.” Inclusive and exclusive.

Inclusive | one, the other, or both
Exclusive | one, the other, but not both

In English, most instances are inclusive, like above. Exclusive might look like: Is the US President Joe Biden or not? Is that a square or circle, or neither?

I took you question to be you asking if the or was inclusive, but in a normal, funny way. The T/F statements define why ‘both’ can be an option. ‘Both’ might still be wrong factually, but logically, it’s possible.

This style of logic is often called Boolean algebra. You’ll see it often in programming and simple search engines. en.wikipedia.org/wiki/Propositional_calculus