The Story of Maths - The Frontier of Science
In part 1, we begin with Hilberts' Paradox and look into the concept of Infinity, beginning with Georg Cantor, moving towards Chaos Theory and Henri Poincaré, who also founded todays Systems Theory, the linchpin of current and Future Cybernetics.
In part 2 we continue into the 20th Century and the development of Chaos & System Theory, through Hilbert & the Universal Language of Mathematics. We then move into uncertainty through Kurt Gödels' Incompleteness Theory and the introduction of Albert Einstein. This part concludes with the introduction of the "Golden Age of Mathematics" with Paul Cohen and his proof of the independence of the continuum hypothesis.
In part 3 we look into the life of Paul Cohen and his development of the "proof of the independence of the continuum hypothesis", introducing Julia Robinson, bes known for her work on Decision Problems & Hilbert's Tenth Problem and collaboration from St. Petersburg, Russia, Yuri Matiyasevich who solved Hilbert's Tenth Problem.
In part 4 the documentary visits France and the development of Algebraic Geometry and the Architecture of Mathematical Structure.
The Final part (5 of 5) concludes with the ultimate frontiers of Mathematics (and Science?), highlighting the problem of detachment from Reality, but also the Undiscovered Country, with a lecture on the next Challenge that lies ahead, David Hilberts 8th Problem and the Riemann Hypothesis.
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