= Linear space
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A linear space is a structure in <incidence geometry> with a <set> of points and a collection of <subsets> called lines: any two distinct points lie on exactly one line, and every line contains at least two points. The lines here are incidence-theoretic objects, without a required coordinate realization. A <finite linear space> imposes finiteness; its nontrivial form excludes a line containing all points. This is distinct from a <vector space>, whose structure involves addition and scalar multiplication.
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