The real numbers

Keith J. Devlin
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Keith J. Devlin: University of Lancaster

Chapter Chapter 3 in Sets, Functions and Logic, 1981, pp 54-65 from Springer

Abstract: Abstract In this book we assume that you already have a reasonable idea of the concept of a real number. But why do we need to introduce the real number system in the first place? In real life, we are never able to measure any quantity (e. g. length or temperature) to more than a few decimal places, for which the rational numbers suffice. Indeed, the rational numbers suffice for the measurement of any quantity to whatever degree of accuracy is required. This fact is illustrated by the following simple result.

Date: 1981
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DOI: 10.1007/978-1-4899-2967-9_3

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