When someone says “X is true for all Y,” ask: “Do you mean all , or just some you’ve seen ?” Watch them deflate. They almost never mean all.
Example: “Everyone loves someone.” (∀x ∃y: x loves y) Does that mean “There is someone whom everyone loves”? (∃y ∀x: x loves y) quantifier pro crack
The happens when you swap the order of quantifiers in a sentence. It’s the logical equivalent of putting diesel in a gasoline engine—explosive, but wrong. When someone says “X is true for all