# Unbounded functions from N to N .

• Nov 23rd 2012, 03:36 AM
Also sprach Zarathustra
[SOLVED ]Unbounded functions from N to N .
Hello!

Can someone please explain me why a family of unbounded functions from N to N is uncountable?

Thank you very much!
• Nov 23rd 2012, 05:59 AM
emakarov
Re: Unbounded functions from N to N .
Because there is an injection from $2^{\mathbb{N}}$ to the set of unbounded functions.