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“Modern math’s absolute Prince of Darkness” — David Foster Wallace Hungarian polymath John von Neumann (1903–1957) once wrote that Kurt Gödel was “absolutely irreplaceable” and “in a class by himself”. Describing his 1931 proof of Gödel’s incompleteness theorem, von Neumann called the achievement “Singular and monumental — indeed it is more than a monument, it is a landmark which will remain visible far […]
A common way to tie mathematics to a game is through probability. Popular games such as poker and craps can be analyzed very thoroughly with probability concepts. That is because these games deal with chance and incomplete information. Chess however, has no randomness or hiding of information. Because of this, we say that chess has perfect information putting it in the […]
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The genius of Isaac Newton has few parallels in the history of science. His masterpiece, the Philosophiæ Naturalis Principia Mathematica, often referred to as the Principia, is considered one of the most important scientific works in history (see this link). The renowned Indian physicist Subrahmanyan Chandrasekhar, one of the receivers of the 1983 Nobel Prize for Physics, wrote in his essayShakespeare, Newton and Beethoven […]
Within the world of mathematics, nothing has a profound impact on, well, everything. In “nothing”, we know that we’re effectively referring to the number zero’s (0) identity as the absence of anything. The application of zero, in a primitive sense, has been innately understood from the beginning of recorded history — even wild animals notice an absence […]
Game Theory Why politicians move to the center In microeconomics and game theory, the median voter theorem states that “In a majority rule voting system, the candidate/party most preferred by the median voter will be elected” In other words, the favorite candidate of the person in the middle of the probability distribution picks the winner of the […]
The field of Statistics and Probability is useful for a lot of things like weather forecasts, scientific research, machine learning, and data analysis. However, I recently had an experience which caused me to add one more thing to that list: guarding your laptop against theft. In the month of September last year, I suffered the […]
..and the birth of the Manhattan Project The now famous Einstein-Szilárd letter was written at the initiative of Hungarian nuclear physicist Leó Szilárd with help from Edward Teller and Eugene Wigner in 1939. It was signed by Albert Einstein and sent to the President of the United States, Franklin D. Roosevelt in October 1939. The […]