if A is infinite, then does |A| = |A| + |A|?

[tawny moth]

also 2^|A| = 2^(|A|+|A|) ?

[dark oasis]

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[gilded umbra]

Yes that's always true for infinite cardinal numbers

|A|=|A|+|A| that is evidently then your second claim will also be true

See the answer here https://math.stackexchange.com/questions/3422011/let-a-a-infinite-set-prove-cardacarda-carda

[tawny moth]

thanks!

+close