Box Relatives

Thoughts about puzzles, math, coding, and miscellaneous

On infinity

Nonmathematical people sometimes ask me, You know math, huh? Tell me something I’ve always wondered, What is infinity divided by infinity?

I can only reply, The words you just uttered do not make sense. That was not a mathematical sentence. You spoke of infinity as if it were a number. It’s not. You may as well ask, What is truth divided by beauty? I have no clue.

I only know how to divide numbers. Infinity, truth, beauty — those are not numbers.

Then the person says, No, I mean, what is:
inftyAnd I say, Oh.  Um, 3.

— John Derbyshire, in “Prime Obsession” (addendum by Alex Boisvert)

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