My Theory of Paradox: A New Way to Look at Logical Puzzles

My Theory of Paradox: A New Way to Look at Logical Puzzles I'm writing on this theory again because I like it so much. Paradoxes have always fascinated me. Those mind-bending logical puzzles that seem to break our brains are more than just intellectual curiosities—they’re windows into the nature of logic, systems, and understanding itself. The past few years of thinking about all the paradoxes in my life, I’ve developed a theory that offers a different perspective on paradoxes. The Basic Idea I usually think of paradoxes as broken logic—problems that need fixing. But what if they’re actually trying to tell us something? What if paradoxes are signals that we’re trying to solve a two-system problem with a one-system approach? My theory builds on Gödel’s incompleteness theorem, which proves that no formal system can be both complete and consistent within itself. But I think Gödel didn’t take it far enough. He showed us that a system can’t explain all its variations, but he didn’t ex...