11041 | Some quantities are discrete, like number, and others continuous, like lines, time and space [Aristotle] |
17843 | The idea of 'one' is the foundation of number [Aristotle] |
17850 | Each many is just ones, and is measured by the one [Aristotle] |
17851 | Number is plurality measured by unity [Aristotle] |
1600 | Euclid's common notions or axioms are what we must have if we are to learn anything at all [Euclid, by Roochnik] |
17783 | A number is not a multitude, but a unified ratio between quantities [Newton] |
9800 | Arithmetic is based on definitions, and Sums of equals are equal, and Differences of equals are equal [Mill] |
14116 | Numbers were once defined on the basis of 1, but neglected infinities and + [Russell] |
10205 | Mathematics originally concerned the continuous (geometry) and the discrete (arithmetic) [Shapiro] |
19093 | Greek mathematics is wholly sensory, where ours is wholly inferential [Macbeth] |