Tag: mathematics
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Hᵤ(2, 2) = 4 for all u>0
A bit of recreational mathematics. I’d be (pleasantly) shocked if this is novel. 2+2 = 2×2 = 2² = 4 🤔 Hᵤ is the set of hyperoperations, e.g. H₁(a, b) = a + b H₂(a, b) = a × b Hu(a, b) = Hu-1(a, Hu(a, b-1)) when u≥3 & b≠0 ∴ Hu(2, 2) = Hu-1(2,…
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One person’s nit is another’s central pillar
If one person believes something is absolutely incontrovertibly true, then my first (and demonstrably unhelpful) reaction is that even the slightest demonstration of error should demolish the argument. I know this doesn’t work. People don’t make Boolean-logical arguments, they go with gut feelings that act much like Bayesian-logical inferences. If someone says something is incontrovertible,…
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