John D. Cook 3/8/2026

How much certainty is worthwhile?

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The article explores the balance between certainty and effort in verifying mathematical identities, such as trigonometric functions. It discusses using Python for spot-checking, the Schwartz-Zippel lemma in zero-knowledge proofs, and the limits of formal verification (e.g., Lean) versus practical errors like transcription mistakes. It connects to programming, algorithms, and software verification practices.

How much certainty is worthwhile?

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