PinnedRobert PassmanninCantor’s ParadiseThe Continuum Hypothesis, explainedHow a 150-year-old problem influences contemporary philosophical debate.6 min read·May 3, 2021--8--8
Robert PassmanninCantor’s ParadiseIs mathematics just like any other science?Lakatos on theory revision in mathematics5 min read·Jun 26, 2021--3--3
Robert PassmanninCantor’s ParadiseWhat is Truth?Tarski says we can’t define it.4 min read·Jun 19, 2021--3--3
Robert PassmanninCantor’s ParadiseMachine Learning and the Continuum HypothesisHow the unprovable concerns the unlearnable6 min read·Jun 11, 2021--2--2
Robert PassmanninCantor’s ParadiseHow to Prove That There’s No ProofYou can’t prove Cantor’s Continuum Hypothesis, and neither its negation. But how do you prove that?7 min read·Jun 4, 2021--2--2
Robert PassmanninCantor’s ParadiseZFC: Why? What? And, how?Naïve set theory is paradoxical. It doesn’t do as a foundation for mathematics. How does ZFC solve this?11 min read·May 20, 2021--4--4
Robert PassmanninCantor’s ParadiseExcluded middle, explainedHow thinking about evidence instead of truth forces logicians to give up on a fundamental law of logic.4 min read·May 14, 2021--3--3
Robert PassmanninCantor’s ParadiseWhat are Junk Theorems?You can’t throw them out.6 min read·May 6, 2021--1--1