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What are numbers and how do they work?
For most of us, our first exposure to mathematics is counting. How many of the thing do I have? How many minutes do I have to play? I don’t want four grapes, I want five. We’re born with an…
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What "Converges" Actually Means
The notion of convergence is absolutely fundamental in mathematics.
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Why the Geometric Series Adds Up ‡
Suppose you take a step of length one, then half a step, then a quarter of a step, and so on, halving each time. How far do you walk in total?
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A Note on What This Blog Is
Hello there, The People. This is a blog about math, written for whoever wants to read it. I am not particularly interested in writing for other mathematicians — there are journals for that, and…
‡ marks posts that assume substantial mathematical background.