I'm supposed to answer the question "Can a sigma-algebra be infinite and countable?"(adsbygoogle = window.adsbygoogle || []).push({});

I think I can show that if it has a countable number of disjoint subsets, then it can't be countable considering the possible combinations of the subsets.

Now I need to show that if a sigma-algebra consists of an infinite number of subsets, then it has a countable number of disjoint subsets.

Any ideas on how I can do this?

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# Infinite sigma-algebra

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