Real numbers: Difference between revisions

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	In [[mathematics]], the [[field (mathematics)\|field]] of '''real numbers''' is the standard construction of a mathematical object which formalises the intuitively expected behaviour of what is usually referred to simply as numbers with regard to arithmetic operations and ordering. It is distinguished from the field of [[rational numbers]] by having the additional property of [[order complete]]ness, [[Cauchy complete]]ness, or the [[nested interval property]], which are all equivalent in this context.		#REDIRECT[[real number]]

	~~Every [[integer]] or [[rational number]] is a~~ real number~~, but "[[infinity~~]]~~" or infinitesimal numbers are not.~~