# Thread: |all finite sentences| (countable alphabet) = countable, right?

1. ## |all finite sentences| (countable alphabet) = countable, right?

That is, the cardinality of the set of all finite sentences, when the alphabet is countable infinite -- I have the impression that this is countable, but when attempting to prove it, I end up making my collection look the same as an uncountable collection. Any pointers?