Episode 4 story of maths

 To Infinity(∞) and Beyond

                    Looking back to the previous episodes, most discoveries and studies only involves finite numbers. But in the episode 4 of this movie, we will be getting to know and explore the life of the mathematicians in the 20th century who made a great contribution to the idea of infinity and to the modern mathematics.
                      In the beginning, Marcus first mentioned a mathematician's unsolved problems that brings the 20th century mathematicians into a great challenge. This was the Hilbert's Problem by David Hilbert. Marcus then looked for the answer's and discussed the life of every mathematicians who tried to solve it. It started to George Cantor, a famous mathematician who first understand the concept of infinity and tried to compare the different sets of infinity that end up to the idea that one set of infinity can be larger than the other. This will be explained by the hypothesis of the Continuum. Cantor couldn't proved his ideas until he died but a young American mathematician, named Paul Cohen, stand for his hypothesis and made a vivid representation of the arrangements of the infinite numbers to proved Cantor's Continuum Hypothesis.
                   There were 23 famous unsolved problems and George Cantor was one of the great mathematicians who find a precise answer. There were still more mathematicians who tried to solve the other problems like Henri Poincaré. Marcus mentioned a lot of mathematicians in the movie and discussed their contribution to the modern math but the discussion about the Seven Bridges of Konigsberg was quiet interesting for me. The seven bridges were connected to one another and the challenge was to crossed all the bridges only once. Many have tried but they couldn't find the exact pattern and if I am one of those people, I would never end searching for something who doesn't exist. This was explained by the mathematician named Euler. According to him, the distance between these bridges doesn't matter but it was how the bridges were connected. It was a Geometric problem and an example of a Topology. The reason why there was no solution was because of the intersection of the 3 bridges in the Seven Bridges of Konigsberg. To enable to crossed all the bridges only once, it is important that if there is any intersection of the bridges, the number of bridges that intersect must be even. I also tried to create figures with an even number of intersection and the other with an odd number of intersection. In the end, I proved it myself that Euler was right.
                 There were still a lot of theorems and discoveries that Marcus discussed. I guessed they were not as famous as Hilbert during their times but they marked their name as one of the great contributors of the Mathematics that we have at present.