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A number series is Archimedean if: (∀x)(∀y)(∃n)(0 < x < yy < nx) Well-behaved numbers are Archimedean: take any two numbers, however far a part they are, then there is some number that you can multiply the smaller by to give a result greater than the larger. Non-standard analysis introduces infinitesimals of which this is not true.

Subjects: Philosophy.

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