>>13967920i know. i'm just explaining that 2^(uncountable infinity) has no meaning and should not be interpreted the same way as, for example, 2^|P({1,2})| = 2^4 should be. it's an abuse of notation, which is useful, which we use because it holds for finite sets, and now is tradition.
It's not uncommon also, OP, to use C for the cardinality of the continuum or aleph 1, etc.
don't get too caught up in notation.
