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## Main Question or Discussion Point

What is the meaning of 'Space' (in the context of vector spaces, Banach spaces, etc)? Is space just another name for a set?

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What is the meaning of 'Space' (in the context of vector spaces, Banach spaces, etc)? Is space just another name for a set?

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morphism

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So, for example, a Boolean Space [tex]\mathcal{B}[/tex] would be a set of two elements 0 and 1 equipped with two binary operations [tex]\lor[/tex] and [tex]\land[/tex] and an unary operation [tex]\lnot[/tex] such that the usual axioms of associativity, commutativity, distributivity, etc hold. Right?

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mathwonk

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well it sounds better than banach doo hickey.

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