Category Archives: Logic

Learning mathematics

This is mostly reminiscences about high school. I also give some opinions about how mathematics ought to be learned. The post originally formed one piece with my last article, “Limits.”

I learned calculus, and the epsilon-delta definition of limit, in Washington D.C., in my last two years at St Albans School, in a course taught by a peculiar fellow named Donald J. Brown. The first of these two years was officially called Precalculus Honors, but some time in that year, we started in on calculus proper.

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Logic (notes on the finger-wagging Cratylus)

The senior essay that I wrote at St John’s College was called something like ‘An account based in Aristotle of the Law of Contradiction’. I do not know now what the point was. I had read the Metaphysics in a preceptorial, so I decided to spend even more time with this book in writing my essay. I remember noting ultimately that humans could indeed be self-contradictory. Hector was an example. To Andromache he described two incompatible expectations: that their son would win renown, and that the boy would die as an infant when the Greeks took Troy. Continue reading