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.

Part 1 introduces the Ranaissance of Mathematics with the use of perspective in Art in Italy before continuing to France to review Descartes and the linking of Algebra and Geometry in Numerical Equations. The part continues with Prime Numbers & Number Theory.

Part 2 continues in France with Number Theory before introducing Sir Isaac Newton in England and Calculus, Leibnitz & Differential and Integral Calculus, Calculating Machines & the application of Binary Systems, before continuing in Basel (in the following part).

Part 3 continues in Basel to look at the Bernoulli Family, Euler and the development of Calculus and Cycloid applications. The Documentary then continues into Russia and alchemical mathematics drawing from European Hotspots, including Humboldt, Fourrier & Gauss and modern applications such as MP3 Technology.

Part 4 continues with Gauss and Prime & Imaginary Numbers such as the Square Root of -1 ... then linking with Euclidian Geometry to describe the shape of space and finding János Bolyai who developed "Imaginary Geometry" or Hyperbolic Geomety and Lobachevsky.

InPart 5 we conclude with Bernhardt Riemann and his developments into Hyperspace, the Riemann Hypothesis & Multidimensional Space, thus bridging the space between the Renaissance and the 20th Century.