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There are many open problems in maths, most of which have the decency to sound appropriately daunting. For example, is it the case that “every Hodge class on a projective complex manifold X is a linear combination with rational coefficients … Continue reading
I recently read an entertaining thought experiment claiming to show that energy isn’t conserved in Newtonian mechanics. It involves a sneaky trick using an infinite sequence of balls of decreasing size. In this post I’ll discuss this and some other … Continue reading
Consider the following game: Alice chooses a polynomial p with nonnegative integer coefficients and challenges Bob to determine the polynomial. Bob is allowed to ask Alice for the value of p(n) for an n of his choice and upon receiving … Continue reading
I recently saw an interesting equivalent statement to the negation of the continuum hypothesis. The statement is essentially Freiling’s axiom of symmetry, presented in a very slightly different manner. It’s interesting in that it seems more geometric and less abstract … Continue reading