Or

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The word "or", when used in mathematics, usually means the the relation $$A \vee B$$, with the following truth table:

Caption text
$$A$$ $$B$$ $$A \vee B$$
T T T
T F T
F T T
F F F

But in English, "or" can mean a few different things, depending on context, including $$\mathrm{XOR}$$. The meanings, or even validity, of "yes" and "no" in response to a question using "or" also depend on context.

Are you with us, or against us?