Émile Borel

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Émile Borel

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1. Émile Borel

Émile Borel (French mathematician and politician) was a French mathematician and politician.

He did important work in measure theory and the use of it to the theory of probability.

2. Real numbers

3. 1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 ...

Chaitin states in his book Meta Mathematics that Émile Borel, in 1927, "pointed out that if you really believe in the notion of a real number as an infinite sequence of digits 3.1415926..., then you could put all of human knowledge into a single real number",

Chaitin refers to this Borel number concept as "Borel's amazing know-it-all real number".

3. Borel: Impossibility

Events with a sufficiently small probability never occur, or at least we must act, in all circumstances, as if they were impossible. Émile Borel (French mathematician and politician)
Borel set the threshold for practical impossibility at 1 in 10**50 or 10⁵⁰, a probability far below what can be physically realized, ensuring that such events have no realistic chance of ever occurring.

10**50 = 10⁵⁰ ≈ 2¹⁷⁰.

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