Talk:Irrational number

Article Checklist for "Irrational number"

Workgroup category or categories	Mathematics Workgroup [Categories OK]
Article status	Developing article: beyond a stub, but incomplete
Underlinked article?	Yes
Basic cleanup done?	Yes
Checklist last edited by	Anthony Argyriou 17:14, 2 August 2007 (CDT)

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This article needs stuff on the theory of irrational numbers - that irrational numbers may be algebraic or transcendental, that they are infinite, etc.. Anthony Argyriou 17:14, 2 August 2007 (CDT)

What in the world do you mean by saying they are infinite? They are nothing of the sort. Michael Hardy 20:08, 3 August 2007 (CDT)

They are infinite in number, and in number density. It is believed that the infinity of the number of irrational numbers is a greater infinity than the infinity of the integers, though it's not known if the number of irrationals is properly aleph-1 or not.

Two or three proofs that particular numbers are irrational is not nearly as useful as more in-depth discussion of what exactly irrational numbers are, in general. Anthony Argyriou 01:13, 4 August 2007 (CDT)