First: relating some ideia of set theory and binary logic, like:(adsbygoogle = window.adsbygoogle || []).push({});

U = 1

Ø = 0

thus, some identities appears:

U ∪ U = U

U ∪ Ø = U

Ø ∪ U = U

Ø ∪ Ø = Ø

U ∩ U = U

U ∩ Ø = Ø

Ø ∩ U = Ø

Ø ∩ Ø = Ø

1 + 1 = 1

1 + 0 = 1

0 + 1 = 1

0 + 0 = 0

1 × 1 = 1

1 × 0 = 0

0 × 1 = 0

0 × 0 = 0

So, the conclusion is that the operation of Union is analogous to AND, and the Intersection is analogous to OR.

But, one thing no is clear for me yet: and the binary operation XOR, XOR have a analogue in set theory?

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# XOR in set theory

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