Mathematics, 24.02.2020 21:07, soogy

With reference to the Appendix, suppose that property (III) were omitted from the definition of a cut. Keep the same definition of order and addition. Show that the resulting ordered set has the least-upper-bound property, that addition satisfies axioms (A1) to (A4) (with a slightly different zero-element!) but that (A5) fails.

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With reference to the Appendix, suppose that property (III) were omitted from the definition of a cu...