Prime numbers and irrational numbers

Full screen read
https://drive.google.com/open?id=0B3YDEaOyRUwcOW9WeGhsZU1OVjQ

On Cantor's first proof of uncountability

Full screen  https://drive.google.com/file/d/0B3YDEaOyRUwcRnZQRFpPdU44V2M/view

On the uncountability of the power set of ℕ

Hidden assumption of the diagonal argument

Which infinity for irrational numbers?

Continuous set and continuum hypothesis

Cardinality of the set of binary-expressed real numbers

1.        Counting the fractional binary numbers        
2.        Fractional binary numbers on the real line        
3.        Countability of BF        
4.        Set of all binary numbers, B        
5.        On Cantor's diagonal argument        
6.        On Cantor's theorem        
7.        On infinite digital expansion of irrational number        
8.        On the continuum hypothesis