Occasional reflections on Life, the World, and Mathematics


Like most mathematicians, I think, I’m irritated by the way “grows exponentially” has come into common parlance as a synonym for “grows rapidly”; whereas exponential growth in mathematics may be fast or slow, depending on the current level of the quantity. This has even crossed into technical discussions, as when I heard a talk by a cancer expert who objected to standard claims that cancer mortality increases exponentially through adulthood — which it does — because the levels actually stay low through the 50s, and so only “increase exponentially” after that point.

Anyway, I was under the impression that the vernacular application of this mathematical concept was fairly recent. So I was intrigued to find the cognate concept of “growing geometric”  popping up in Evan Thomas’s Nixon biography, on the Watergate tapes. In the context of cancer. Used correctly! It’s quite a famous part of Watergate lore, where John Dean refers to Watergate as a “cancer… close to the presidency”.

We have a cancer — within — close to the presidency, that’s growing. It’s growing daily. It’s compounding, it grows geometrically now, because it’s compounding.

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