Quote: the positive and negative integers are relations instead of a class of classes; e.g., -n is the relation of n to n+m

Quotation

Let us begin with positive and negative integers. ... Generally, if m is any inductive number, +m will be the relation of n+m to n (for any n), and -m will be the relation of n to n+m. According to this definition, +m is a relation ... But +m is under no circumstances capable of being identified with m, which is not a relation, but a class of classes. Indeed, +m is every bit as distinct from m as -m is.   Google-1   Google-2

Published before 1923

Related Topics

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Topic: kinds of numbers (24 items)