structure for 'Mathematics'    |     alphabetical list of themes    |     expand these ideas

6. Mathematics / B. Foundations for Mathematics / 4. 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 [Bostock on Russell/Whitehead]
A number is a repeated operation [Wittgenstein]
The concept of number is just what all numbers have in common [Wittgenstein]