Gosh, now I don’t know whether to feel bad or not for asking that question.
But I guess ‘no, it’s not just cardinality that matters but measure’ is a good answer. Is there any quick easy explanation of measure and its use in probability?
(I have yet to learn anything from Wikipedia on advanced math topics. You don’t hear bad things about Wikipedia’s math topics, but as Bjarne said of C++, complaints mean there are users.)
Don’t feel bad, you’re actually a hero. The four levels of depravity, by cousin_it:
Ask an illiterate question.
Assert an illiterate statement.
Assert and violently defend an illiterate statement.
Assert and violently defend an illiterate statement, becoming offended and switching to ad hominems when you begin to lose.
I’m not sure if other people can successfully learn math topics from Wikipedia because I’m atypical and other-optimizing is hard. Anyway, here’s how you tell whether you actually understand a math topic: you should be able to solve simple problems. For example, someone who can’t find Nash equilibria in simple 2x2 games is unqualified to talk about the Prisoner’s Dilemma, and someone who can’t solve the different Monty Hall variants is unqualified to talk about Bayesianism and priors.
Also, I second this observation of Wikipedia’s math pages not being a good learning resource. They’re pretty good as reference and for refreshers on stuff you’ve already learned, but it’s no substitute for a decent textbook and/or instructor.
Gosh, now I don’t know whether to feel bad or not for asking that question.
But I guess ‘no, it’s not just cardinality that matters but measure’ is a good answer. Is there any quick easy explanation of measure and its use in probability?
(I have yet to learn anything from Wikipedia on advanced math topics. You don’t hear bad things about Wikipedia’s math topics, but as Bjarne said of C++, complaints mean there are users.)
Don’t feel bad, you’re actually a hero. The four levels of depravity, by cousin_it:
Ask an illiterate question.
Assert an illiterate statement.
Assert and violently defend an illiterate statement.
Assert and violently defend an illiterate statement, becoming offended and switching to ad hominems when you begin to lose.
I’m not sure if other people can successfully learn math topics from Wikipedia because I’m atypical and other-optimizing is hard. Anyway, here’s how you tell whether you actually understand a math topic: you should be able to solve simple problems. For example, someone who can’t find Nash equilibria in simple 2x2 games is unqualified to talk about the Prisoner’s Dilemma, and someone who can’t solve the different Monty Hall variants is unqualified to talk about Bayesianism and priors.
You should post this hierarchy somewhere more permanent. It seems… useful.
Here’s a non-wiki explanation of measure. http://www.ams.org/bookstore/pspdf/stml-48-prev.pdf It’s a generalization of the concept of length.
Complaints mean there are annoyed users, yes. :-)
Also, I second this observation of Wikipedia’s math pages not being a good learning resource. They’re pretty good as reference and for refreshers on stuff you’ve already learned, but it’s no substitute for a decent textbook and/or instructor.