Thursday, January 30, 2014

Hilbert's 23 Problems

        The last installment of The Story of Maths introduced us to more mathematicians that have been committed in to different problems, equations and even hypotheses. These people are inspiration for the new generation of mathematicians.
A German mathematician, David Hilbert laid 23 problems for mathematicians to solve. These problems are considered to define the modern age mathematics. The first problem was about the infinity. George Cantor was the first one to understand infinity. He concluded that there are many infinite fractions between to whole numbers. The continuum hypothesis was a problem that Cantor wrestled for the rest of his life.
Henri Poincare was a man who was good in everything; algebra, geometry and analysis. He was the man behind the chaos theory. The question about what are the possible shapes of our universe was known as the Poincare Conjecture. This question was solved by a Russian mathematician, Grisha Perelman. His theory was difficult to understand but he won prizes and offered professorship in various universities.
A mathematician named Kurt Godel tried to solve Hilbert’s second problem but instead of proving it true, he proved the opposite which is called the Incompleteness theorem. In this theorem, there will be statements about numbers that are true but cannot be proven.
Paul Cohen was a young man whose interest was in the field of mathematics. He was not the typical teenager that would indulge in the normal pursuits. He proved that there is and there’s not an infinite set of numbers bigger than the set of all whole numbers but smaller than the set of all decimals.
The first woman ever to become the president of American Mathematical Society was Julia Robinson. She and her colleagues were the people behind the Robinson Hypothesis.  The tenth problem of Hilbert which Robinson tried to solve was answered by a Russian mathematician named Yuri Matiyasevichand.
One man had not given the chance to showcase his brilliance in mathematics; his name was Evariste Galois. He discovered techniques to tell whether an equation could have solutions or not but he was killed at the age of 20.
I have a little hatred to David Hilbert, he started the 23 problems that made mathematicians discover more about mathematics and it became difficult but on the contrary, he was also one of the reasons why great mathematicians came out of their comfort zones and tried something that opened the eye of the humanity towards mathematics.

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