Пифагорейские странствия с Андреем Баумейстером: Рождение математики

It's commonplace today to claim that science is incompatible with the idea of ​​God. That rationalism is opposed to theism. Is this true? Of course not! To demonstrate the connection between science and God, between rationalism and theism, Andrei Baumeister and I decided to embark on a Pythagorean journey. The milestones of this journey are the great mathematicians and physicists (from antiquity to the present day). We will encounter Copernicus, Galileo, Newton, Leibniz, Faraday, Maxwell, Poincaré, Einstein, Planck, Bohr, Schrödinger, Heisenberg, Dirac, and other outstanding scientists. And today we begin with Pythagoras himself. And with his amazing discoveries. Andrey Baumeister's Facebook page:   / andriibaumeister   YouTube channel:    / @andriibaumeister   When did mathematics originate? When did mathematicians turn their attention to the foundations of mathematical knowledge? Mathematics and the construction of the Temple. Sacred materialism and the ideality of numerical structures. Pythagoras and the Pythagorean school. The Pythagorean dictionary: cosmos, order, numbers and numerical structures, "philosophy." Our hypothesis: from the mathematics of the sacred space of the temple to the mathematical structure of the Cosmos as a Temple. The doctrine of number, the practice of purification, and the idea of ​​the inner man and the immortal Self. How the Pythagoreans taught the Greeks to pay attention to the immortality of the soul. Why do fifth-graders in middle school have the chance to be initiated into Pythagorean philosophical truths, and why is this opportunity unrealized? Pythagoras: The Discovery of Mathematical Proof as a Sacred Practice of Approaching God. Metaphors of precise mathematical proof: the precision of religious ritual, the precision of an acrobat's movements in the frescoes of the Palace of Knossos, and the precision of a bullfighter's movements. Eternal truth at the tip of a bull's horns. Fresco in the Palace of Knossos: https://ru.wikipedia.org/wiki/Акробат... Pythagoras: The Discovery of Infinity. An Elegant Invitation to the Experience of Overcoming Temporality and Finitude. 00:00 Introduction to the Topic. 02:00 Alexey Burov on the Origins of Mathematics: the Needs of Temple Construction, Land Surveying. 09:40 Andrey Baumeister on the Origins of Mathematics: Observing Celestial Bodies, Increasing Trade Volumes. 11:15 Alexey Burov on the turn of mathematics from applied problems to itself: "Pythagorean triples" and interest in numerical patterns as such. 14:32 Andrey Baumeister on the emergence of mathematical self-reflection from the mystical lifestyle of the Pythagoreans. 16:32 Alexey Burov on the mystical lifestyle of temple builders and their influence on the development of mathematics. 17:55 Andrey Baumeister, a hypothesis on the origin of mathematics: from the sacred space of the temple to the mathematical structure of the Cosmos as a Temple. 20:05 Alexey Burov: What can we know about the Pythagoreans? 21:50 Andrey Baumeister: The image of Pythagoras from early historical and philosophical sources. 25:10 Key Pythagorean concepts: "cosmos," "order," "numbers" and "numerical structures," "philosophy," and "mathematics." 35:15 Alexey Burov on the value of mathematics as a purifier of the soul. 43:00 Andrey Baumeister: How the Pythagoreans taught the Greeks to pay attention to the immortality of the soul, and how the canon of the "liberal arts" arose. 49:30 Alexey Burov on Pythagoras as the "father of mathematics": using proofs, not algorithms. 56:05 Andrey Baumeister: Why fifth-graders in middle school have a chance to be initiated into Pythagorean philosophical truths, and why this chance remains unrealized. 01:00:23 Alexey Burov on the need for proof as a practice for approaching the divine. 01:03:52 Andrey Baumeister on the connection between the precision of mathematical proofs and the precision of religious ritual. 01:05:47 Alexey Burov on the connection between infinity, the divine, and mathematical beauty. 01:11:20 Andrey Baumeister on the mastery of the bullfighter and the "eternal truth at the tip of the bull's horns." 01:10:00 Alexey Burov on the essence of Pythagorean truth. 01:17:12 Andrey Baumeister: summary of the conversation. 01:20:00 Answers to questions from the audience.