An ironclad proof that you are smarter than Roger Penrose

Roger Penrose is the Rouse Ball Professor of Mathematics at the University of Oxford. E.g. he’s the inventor of Penrose Tiles, which can cover a plane but only aperiodically (nice effect!). And he has proved, rigorously!, that you are smarter than him. Or, to be ultra-precise, he has proved that there are Mathematical Truths™ that you can easily see but he cannot. In this posting I shamelessly reproduce his proof.

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