1. The early history of the theory of irrationals.- Part, 2. The pre-Euclidean theory of proportions.- 3. The construction of mathematics within a deductive framework.- Postscript.- 1 The prevailing view.- 2 My own view.- 3 Elements of a Pythagorean theory about the areas of parallelograms.- 4 How to find a square with the same area as a given rectangle.- 5 Conclusion.- Index of names.
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