alt Hacker NewsI read statement "All my hats are green" as meaning:
For every hat H that I have, H is green.
If I have no hats, this statement is true, just as
* the empty sum is 0,
* the empty product is 1,
* the empty AND is True, and
* the empty OR is False.
So with this interpretation, the liar having no hats would make the statement true.
by the same following, this would mean that any statement on the members of an empty set can be made and it would be logically true?
e.g. "all my lamborghinis have magical goat skin seat covers" is true if 1) I have no lamborghinis or 2) All the ones I own have magical goat skin seat covers.
(fr I have no logical or mathematical background)