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It's simpler than other proofs. Yes, it relies on real analysis (differential and integral calculus), including calculus of transcendental functions. But a high
by lupire 2y ago
It's simpler than other proofs. Yes, it relies on real analysis (differential and integral calculus), including calculus of transcendental functions. But a high school calculus student could follow the proof, if they take some faith in infinitesimals.
- hughdbrown 2y agoOkay, then think of it from a strictly quantitative viewpoint. Euclid's proof of the irrationality of root two was known circa 300 BCE. Mathematicians would have to wait until 1670-ish for the math to be invented to understand the proof of the irrationality of pi. You can say it's obvious today to a high school calculus student, but the elapsed time between understanding of the two proofs is about two millennia.