And quite frankly, I’m impressed you delivered. I thought to myself: now how can you give a paradox in just a few simple words? Most require at least a paragraph. But yes, the liar’s paradox is quite an elegant response.
So should I explain trinary logic, or do you think it would be obvious to her what it is and how that resolves the paradox?
Coherent logic statements can only be either true or false. That is what leads to the appearance of a conundrum, a paradox. But there is always the incoherent statement, void of rational meaning, such as;
“The color of my dog is cat.”
“There are absolutely no absolutes.”
and “This statement is false.”
Incoherent statements are neither true nor false, but rather meaningless, often self-refuting.
Thus Trinary/Tertiary Logic:
True
False
Incoherent (neither or both)
… and you are going to have a really, really tough time catching me with this sort of thing.