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It is used in science and proofs of proofs in maths, taking an example:

Hypothesis: Bananas are red.

(There exists) x x (is an element of) Red (and) Banana

Banana (implies) Red

(not) Red (implies) (not) Banana

If a yellow banana is found,

(There exists) y y(is an element of)Banana (therefore) y(is an element of) Red

There is a contradiction, as the banana must be red, but it is yellow.

The above is not the only use, but Boolean algebra exclusively contains symbols of (not), (and), and (or).

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Q: How do you do boolean algebra?
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