I was wondering about the idea of representing real numbers as points on line , What is the basis of this assumptions , and as well the same question for Cartesian coordinates system ?(adsbygoogle = window.adsbygoogle || []).push({});

All books I have read , express the idea of Cartesian Coordinates in an elementary way like spivak's , Apostol , ...... , many others that I have read this part in .

Thanks

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# What behind the idea of representing real numbers as points ?

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