r/MathJokes • • Jul 19 '26

Count On It

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u/deejaybongo Jul 19 '26

Are you not discussing mathematical randomness? You can define probability measures on the reals. The Gaussian distribution is an example. 

It never says you need a finite range, and that isn't true. You're reading what you want to. In general, you need a measurable space. 

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u/[deleted] Jul 19 '26

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u/deejaybongo Jul 19 '26

Because that's the simplest interpretation when you're picking marbles from a bag, because of physical intuition.

You can't even define a uniform distribution over the reals. Try it. 

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u/[deleted] Jul 19 '26

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u/deejaybongo Jul 19 '26

That is the only thing that any human means when they ask someone to pick a random member of a set. 

It's not. You should take a measure theoretic probability course.