Abstract
In this chapter I consider what form a mathematical information function can take. I shall confine myself to the collection of all finite probability spaces. A typical space is modelled by a set of n points, together with n non-negative real numbers whose sum is 1. These numbers play the rĂ´le of the probabilities with which the various (point) events occur. If the appropriate assumptions are made concerning atomicity there is no problem in extending the following results to other probability spaces.
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© 1985 Springer-Verlag New York Inc.
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Elliott, P.D.T.A. (1985). Information and Arithmetic. In: Arithmetic Functions and Integer Products. Grundlehren der mathematischen Wissenschaften, vol 272. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8548-6_21
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DOI: https://doi.org/10.1007/978-1-4613-8548-6_21
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4613-8550-9
Online ISBN: 978-1-4613-8548-6
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