Paradox (1 Viewer)

[withoutaface]

1. Most real numbers are trancendental.
2. Rational and irrational numbers alternate s.t. no interval of size >0 can be created s.t. it contains only rational or irrational numbers.

Now looking at 2, and knowing that there are at least two non-transcendental irrationals (sqrt(2) and sqrt(3) for argument's sake), then there will always be at least one more rational number than transcendental number on any given interval encompassing sqrt(2) and sqrt(3) and as it approaches infinite size why wouldn't this property hold, leaving less than half, and certainly not most, numbers being transcendental?

Can someone clear this up?

 

[babydoll_]

sex?[comment]buchanan and no_arg are fags[/comment]

 

[withoutaface]

sex?[comment]buchanan and no_arg are fags[/comment]

Being the rational male I'm already trapped in between two irrational females, but thanks anyway.

 

[wanton-wonton]

Being the rational male I'm already trapped in between two irrational females, but thanks anyway.

Now that's witty.

 

[withoutaface]

Cheers .