Tag Archives: complex numbers

The definition of toposes has surprisingly powerful consequences. (For example, toposes have all finite colimits.) Probably the best analogy elsewhere in which a couple of mild-sounding hypotheses pick out a very narrow and interesting class of examples is the way … Continue reading

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Tachyons

As every sci-fi geek knows, matter may travel faster than the speed of light as long as its mass is imaginary (a multiple of √−1). A so-called tachyon would not overturn special relativity—and it would provide a handy way of resolving any conflicts … Continue reading

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Today’s Higgs Results

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I. am. Telling you!! Mathematics is like tripping on acid + mushrooms + peyote + huffing ether + being wide awake the whole time and, if you’re a Real Mathematician, also being ridiculously out of the park intelligent. Can you … Continue reading

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Hilbert with Ladders, 2004 by Don Relyea (Source: http://www.donrelyea.com)

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Do numbers exist?

When I was a math teacher some curious students (Fez and Andrew) asked, “Does i, √−1, exist? Does infinity ∞ exist?” I told this story. You explain to me what 4 is by pointing to four rocks on the ground, … Continue reading

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