uncountability of irrationls is there intrinsic property or the tool we have defined for uncountability did this

Question

anonymous · Answer

what is your question?

directrix · Answer

@sid123 The uncountability of the irrationals has to do with there being no one-to-one correspondence between the set of counting numbers and the irrational numbers. 

Do read about Georg Cantor's Theory of Transfinite Numbers. He showed there are more irrational numbers than rational numbers. Any search engine will bring up many resources on the topic.

With regard to your question, I don't know what tool your class defined for uncountability but I'm thinking that is how your class determined the uncountability of the irrationals. I don't know that for sure, however.

sid123 · Answer

similar tool that u are saying one to one correspondence