Why are there more irrational numbers than rational numbers?

[matt grime]

Paul, I am sorry to have offended you in this thread, it certainly wasn't my intention.

Matt

 

[pnaj]

Ok, Matt,

See you round ... and NateTG.

P.

 

[Elliot.AT]

I just googled this question and I read this:

Somewhat counter-intuitively, the rationals have a one-to-one relationship with the natural numbers (that is, you can list the rationals as you can the naturals)

It should be clear that there are more irrationals than naturals!

This is what goes through my mind:

"I can understand that on an interval, there are more irrationals than naturals, but surely there would also be more rationals than naturals too?"

I'm confused as to why you don't admit that yours wasn't a helpfull answer.