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Astrophysicist Sergei Popov spoke at the Zhivoye Slovo lecture hall about how equations can be used to predict cosmic objects, and answered questions about the ninth planet, black holes, simulations of universes, and the infinity of space. Time codes for the lecture "How Mathematics Explains the Laws of Nature": 00:00 Why is this lecture strange? 01:16 Who was the first mathematician? 06:42 Mechanical models of Eudoxus of Cnidus 11:03 Why was the formula called a "formula"? 14:00 Maybe there is no free will, instead there are laws of nature? 15:51 Artificial intelligence and the laws of nature 19:26 Why do we need theories? 24:39 The incomprehensible effectiveness of mathematics 37:25 What is the Theory of Everything? 41:52 How Kepler figured out that orbits are elliptical 48:18 The discovery of Neptune is an example of the predictive power of mathematics 50:55 Predicting black holes 53:57 Predicting the positron 56:10 Is it possible to stand a pencil on its tip 59:59 The stability of neutron stars 01:03:02 Not all solutions are real: alternatives to black holes 01:05:56 Is it possible to live in two-dimensional space? And in five dimensions? 01:09:27 What is the "anthropic principle"? 01:10:21 "A planet with traces of peanuts." Why nature does not create planets "without impurities" 01:14:35 Poetry, philosophy and mathematics 01:17:51 QUESTIONS. Is it possible that we live in a simulation? 01:26:20 Is the hypothesis of the ninth planet adequate? Is Batygin right? 01:30:04 Liu Cixin: how reliable is it? Dark matter and space folded into two dimensions? 01:33:53 The benefits and harms of analogies 01:39:10 Why is the universe flat? 01:42:17 Does mathematics predict the music we like? 01:45:50 The Big Bang Theory. Antiworlds are nonsense 01:51:25 Can space be infinite? Read the book by Sergei Popov "All the Formulas of the World"! And come to the lecture hall "Living Word", here you can informally chat with the best speakers in the country! The schedule is here #sergeypopov #astrophysics #lecturehalllivingword