Talk:Real number

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"A real number ℝ is a rational or irrational number." This is not a definition of the real numbers: it's equivalent to saying "A real number is a number which is equal to zero or not equal to zero." Needs to be corrected using the axioms of the real numbers. (talk) 14:08, 23 February 2009 (UTC)

this has little to do with real numbers... only irrational numbers - and specifically, the square root of 2 - are talked about --— Preceding unsigned comment added by User:Adam Lewis (talkcontribs)

I have made the section where different types of real numbers are explained more apparent. You are of course welcome to further improve the article.--Eptalon 14:03, 4 March 2007 (UTC)

Natural Numbers[change source]

"Given enough time, all natural numbers can be counted to." Are they not infinite? Gambler Justice (talk) 16:30, 23 February 2009 (UTC)

Countable set is defined on the base of the natural numbers, so yes, there are only countably many natural numbers; note that this is not true for real numbers, they are uncountable. --Eptalon (talk) 22:49, 20 September 2009 (UTC)