this post was submitted on 02 Apr 2024
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[–] [email protected] 6 points 8 months ago (1 children)

Since there are no people, no one is not called Sato, and therefore every person is called Sato.

Uh... No? 🤨

[–] [email protected] -3 points 8 months ago (1 children)

∀P∈{X | X lives in Japan} : P is named Sato

using De Morgan's negation rule this is equivalent to

⇔ ∄ P ∈{X | X lives in Japan} : P is not named Sato

Since {X | X lives in Japan} = ∅ is the empty set, such a person P can by definition not exist. Which means, the first statement is true. If no person lives in Japan, that means every person living in Japan is named Sato.

[–] [email protected] 9 points 8 months ago (1 children)

Your proof is vacuous and you should feel vacuous!

[–] [email protected] 3 points 8 months ago