Monthly Archives: February 2011

“Embarrassing” open problems in maths

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

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Four paradoxes involving infinity

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

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