One book defined a vector space as a set of objects that can undergo the laws of algebra "over" the field of scalars. But doesn't the laws of algebra also hold in a field? If so, wouldn't a field be a vector space also? Wouldn't that make the definition of a vector space meaningless as it uses circular logic?(adsbygoogle = window.adsbygoogle || []).push({});

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# Difference between a vector space and a field

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