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Jan
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accepted Uncertainty in mathematics
Jan
26
comment Uncertainty in mathematics
@gnometorule Thank you, I found "The principles of mathematics" online, here's the link if anyone else is interested: fair-use.org/bertrand-russell/the-principles-of-mathematics/…
Jan
26
comment Uncertainty in mathematics
@gnometorule Yes, the definition of a set is perhaps a better example. In your comment you shaped uncertainty in more precise terms for me: something that is understood in the context of convention.
Jan
26
comment Uncertainty in mathematics
By uncertainty I mean that a definition, theorem, etc. is not (or maybe cannot be?) stated explicitly in mathematical terms, and can only be understood if one is familiar with conventions in the field. For example, addition and other simple operations seem intuitive to understand without needing explanation by mathematicians. The meaning of the law of large numbers, on the other hand, needed communication with others - it didn't feel like it had inherent physical meaning. So is this part of the nature of advanced math? Or is it due to my limits in understanding things on my own?
Jan
26
comment Uncertainty in mathematics
The example that immediately comes to mind is the law of large numbers and the definition of a set.
Jan
26
asked Uncertainty in mathematics
Jan
21
revised Probability of obtaining x balls when drawing y bags from a set
edited body
Jan
21
comment Probability of obtaining x balls when drawing y bags from a set
@Henry (1) Thanks for pointing out the mistake. $y$ is actually $n$. I'll correct the question. (2) Most bags contain 0 balls. A small number of bags contain 1-3 balls. I can get a histogram of the number of balls per bag (since I'm working with an actual dataset), but I don't know how to evaluate what distribution $m$ follows.
Jan
21
awarded  Student
Jan
21
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Jan
21
revised Probability of obtaining x balls when drawing y bags from a set
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Jan
21
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Jan
21
reviewed Approve Probability of obtaining x balls when drawing y bags from a set
Jan
21
asked Probability of obtaining x balls when drawing y bags from a set