Can the hyperreal numbers be described as a vector space over the reals with a basis (0,...,e(adsbygoogle = window.adsbygoogle || []).push({}); ^{2},e^{1},e^{0},e^{-1},e^{-2}...), where e^{1}is a first order infinitesimal number, e^{0}= 1, and e^{1}a first order infinite number?

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# Hyperreals as a vector space?

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