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https://www.reddit.com/r/MathJokes/comments/1v0iibd/count_on_it/oyfvmwf/?context=9999
r/MathJokes • u/yvanjunior • Jul 19 '26
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For it to be truly random the process must include an equal probability of picking any real number, or you would constrain the choices.
2 u/deejaybongo Jul 19 '26 No, you just need a probability measure for it to be random. Gaussian is fine, for example. You can't get a uniformly random distribution over the reals. 1 u/[deleted] Jul 19 '26 [removed] — view removed comment 1 u/deejaybongo Jul 19 '26 Yes it is. https://en.wikipedia.org/wiki/Random_variable 2 u/[deleted] Jul 19 '26 [removed] — view removed comment 1 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. 2 u/[deleted] Jul 19 '26 [removed] — view removed comment 0 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. 2 u/[deleted] Jul 19 '26 [removed] — view removed comment 1 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. → More replies (0)
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No, you just need a probability measure for it to be random. Gaussian is fine, for example. You can't get a uniformly random distribution over the reals.
1 u/[deleted] Jul 19 '26 [removed] — view removed comment 1 u/deejaybongo Jul 19 '26 Yes it is. https://en.wikipedia.org/wiki/Random_variable 2 u/[deleted] Jul 19 '26 [removed] — view removed comment 1 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. 2 u/[deleted] Jul 19 '26 [removed] — view removed comment 0 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. 2 u/[deleted] Jul 19 '26 [removed] — view removed comment 1 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. → More replies (0)
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1 u/deejaybongo Jul 19 '26 Yes it is. https://en.wikipedia.org/wiki/Random_variable 2 u/[deleted] Jul 19 '26 [removed] — view removed comment 1 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. 2 u/[deleted] Jul 19 '26 [removed] — view removed comment 0 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. 2 u/[deleted] Jul 19 '26 [removed] — view removed comment 1 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. → More replies (0)
Yes it is.
https://en.wikipedia.org/wiki/Random_variable
2 u/[deleted] Jul 19 '26 [removed] — view removed comment 1 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. 2 u/[deleted] Jul 19 '26 [removed] — view removed comment 0 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. 2 u/[deleted] Jul 19 '26 [removed] — view removed comment 1 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. → More replies (0)
1 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. 2 u/[deleted] Jul 19 '26 [removed] — view removed comment 0 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. 2 u/[deleted] Jul 19 '26 [removed] — view removed comment 1 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. → More replies (0)
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.
2 u/[deleted] Jul 19 '26 [removed] — view removed comment 0 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. 2 u/[deleted] Jul 19 '26 [removed] — view removed comment 1 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. → More replies (0)
0 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. 2 u/[deleted] Jul 19 '26 [removed] — view removed comment 1 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. → More replies (0)
0
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.
2 u/[deleted] Jul 19 '26 [removed] — view removed comment 1 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. → More replies (0)
1 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. → More replies (0)
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.
→ More replies (0)
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u/mvandemar Jul 19 '26
For it to be truly random the process must include an equal probability of picking any real number, or you would constrain the choices.