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6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / a. Defining numbers

[general ideas and proposals about defining numbers]

3 ideas
Russell takes numbers to be classes, but then reduces the classes to numerical quantifiers [Russell/Whitehead, by Bostock]
A number is a repeated operation [Wittgenstein]
The concept of number is just what all numbers have in common [Wittgenstein]