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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / m. One

[status and nature of the number one]

7 ideas
For Pythagoreans 'one' is not a number, but the foundation of numbers [Pythagoras, by Watson]
The one in number just is the particular [Aristotle]
A unit is that according to which each existing thing is said to be one [Euclid]
The idea of 'one' is the simplest, most obvious and most widespread idea [Locke]
We can say 'a and b are F' if F is 'wise', but not if it is 'one' [Frege]
One is the Number which belongs to the concept "identical with 0" [Frege]
Discovering that 1 is a number was difficult [Russell]