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Meta
Category Archives: General
How “small” can the gap be? -A huge landmark in number theory.
What’s the gap between consecutive primes? One can easily observe that the gap will keep increasing as the primes become far rarer. However, for the bounded gap, there exists infinitely many pairs of primes. This is a form of the … Continue reading
Newcomb’s Paradox
In the realm of mathematical puzzles and thought experiments one can find a stock pile of paradoxes. The Mariam-Webster Dictionary defines a paradox as “an argument that apparently derives self-contradictory conclusions by valid deduction from acceptable premises.” One short example … Continue reading
Posted in General, Math Games, Uncategorized
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Euclid and Coleridge: A Poem
Euclid’s first proposition in Book I states that an equilateral triangle can be constructed from a segment AB only with a ruler and compass. Here is a poem by the British poet Samuel Taylor Coleridge on this proposition:
Posted in General, Math, Mathematics in Society
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Union-Closed Buckets
In the mines of mathematical conundrums there are a few gems that shine brightly. Such problems are illuminated with the delight of recreational enjoyment. Whether it be folding unique shapes with paper or exploring the elementary nature of prime numbers, these … Continue reading
Posted in General, Math, Math Games, Uncategorized
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Investigating Physics
Since the fields are so closely related, a lot of people who study math also end up studying at least a little bit of physics. I always wanted to take a physics class when I was an undergrad, but I … Continue reading
Posted in Book Reviews, General
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