Ideas from 'Reals by Abstraction' by Bob Hale , by Theme Structure
[found in 'The Reason's Proper Study' by Hale,B/Wright,C [OUP 2003,978-0-19-926632-6]].
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6. Mathematics / A. Nature of Mathematics / 3. Numbers / g. Real numbers
The real numbers may be introduced by abstraction as ratios of quantities