Cardinality - 1. Find the cardinality of the set of all irrational numbers, and prove your answer is correct.
2a. Is there a line in the x-y plane such that both coordinates of every point on the line are ration ...
Cardinality, Countability and Denumerable Sets - 1. Show that if A and B are countable and disjoint, then A U B is countable.
2. Show that any set, A, of cardinality c contains a subset, B, that is denumerable.
3. Show that the irrational numb ...
Cardinality - Please see the attached file for full problem description.
Prove same cardinality - Prove that Rsquared has the same cardinality of R
(hint: think of shuffling two string of digits)
See attachment for full question