Problems in Paradise

Calvin C. Clawson

Chapter Chapter 6 in The Mathematical Traveler, 1994, pp 95-120 from Springer

Abstract: Abstract Thus far we have reviewed the progression of the science of numbers in the Old World from prehistoric times to approximately 1000 b.c. We have seen the concept of number expand from the natural numbers to include the unit fractions (with form 1/n) of the Egyptians and the sexagesimal fractions (with form n/60) of the Babylonians, plus the negative numbers of the Chinese. It is now time to look at the contributions of the ancient Greeks. It has been claimed that the Greeks defined science, philosophy, and mathematics, and created standards for these disciplines that were maintained for two thousand years. Others, however, claim that we give too much credit to the Greeks, ignoring other societies’ contributions.

Keywords: Number Theory; Attic System; Logical Deduction; Pythagorean Theorem; Deductive Method (search for similar items in EconPapers)
Date: 1994
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DOI: 10.1007/978-1-4899-6014-6_7

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