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The Square of Hypotenuse is Equal to the Sum of the Squares of the Other Two Sides - Knowledge or Belief?

I would argue that the proposition that the square of the hypotenuse is equal to the sum of the squares of the other two sides is in fact knowledge that is a justified, true belief. The Pythagorean Theorem provides us with empirical evidence to prove its justification. If the triangle had a right angle (90°) and you made a...

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An Introduction to Goldbach's Conjecture, a Famous Open Problem in Additive Number Theory

Mathematical Analysis of Goldbach’s Conjecture Goldbach’s Conjecture is a famous open problem in additive number theory. Essentially, the conjecture says that every even number that is greater than or equal to four can be written as the sum of two prime numbers. Prime numbers are integers that are greater than one, but onl...

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