Cantor-Dedekind axiom

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The phrase Cantor-Dedekind axiom has been used to describe the thesis that the real numbers are order-isomorphic to the linear continuum of geometry. In other words the axiom states that there is a one to one correspondence between real numbers and points on a line. It is not an axiom in the ordinary mathematical sense.

[edit] References

  • Erlich, P.. (1994). "General introduction". Real Numbers, Generalizations of the Reals, and Theories of Continua, vi-xxxii. Edited by P. Erlich, Kluwer Academic Publishers, Dordrecht
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