About certain groups of classes of sets and their application to the definitions of numbers [Book Review]

Studia Logica 34 (2):133 - 144 (1975)
The aim of the paper is to give a new definition of real number. The logical type of any number defined is that of the function B = h(A) which assigns to a class of sets A a class of sets B. I give some conditions which the function h has to fulfill to be considered as number; an intuitive sense of the conditions is as follows: a function, which is number, assigns a class of sets of measure h·m to a class A of sets of equal measure, where m is the measure of A
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