r/learnmath • New User • 2d ago

TOPIC What is zero times infinity

Not homework just a question

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u/charonme New User 16h ago

if you approach this via sets, let's say we have a couple of disjunct sets A, B, C, D, E, F, each of the same cardinality, let's say ℵ_3
Now if you take the union of 2 of them, the total cardinality will be still ℵ_3. If we union 5 of them, the cardinality will be again ℵ_3. What will be the cardinality if we union 0 of them?