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" ... and not before the other. It is very important to notice that we have now a closed number-system. When we seek to separate the irrational objects as lying left or right of an object, either the object is rational, or if not it separates rational objects... "
Introduction to the Theory of Analytic Functions - Page 4
by James Harkness, Frank Morley - 1898 - 336 pages
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A Mathematical Solution Book Containing Systematic Solutions to Many of the ...

Benjamin Franklin Finkel - Mathematics - 1888 - 518 pages
...rational objects; for, since J and s' are not equal, there must be a rational number which is before oue and not before the other. It is very important to...separates rational objects and is irrational; in any case it must have for its mark a rational or irrational number, and there is no loop-hole left for the introduction...
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