This sentence is false! (The Liar Paradox)

Some sentences are true. Some are false. Many sentences, like questions and instructions, are of indeterminate truth value, e.g. “What time is it?” and “Wash your hands.” 

It seems that “This sentences is false” (aka The Liar) may well be of indeterminate truth value.

Here is my proposed resolution of The Liar Paradox using only basic set theory and ordinary logic:

https://www.dcproof.com/LiarParadoxResolution.htm

(Includes link to a brief dialog with ChatGPT on this resolution.)