THE EVOLUTION

OF THE

REAL NUMBERS

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11.  The natural numbers

12.  The ratio of natural numbers

13.  Proportions

14.  Continuous versus discrete

15.  Fractions

16.  Unit fractions

17.  Rational numbers

18.  Measurement: Geometry and arithmetic

19.  Common measure

10.  Squares and their sides

11.  Incommensurable magnitudes

12.  Irrational numbers

13.  The existence of irrational numbers

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