display all the ideas for this combination of texts
18 ideas
| 560 | Mathematical precision is only possible in immaterial things [Aristotle] |
| 9076 | Mathematics studies the domain of perceptible entities, but its subject-matter is not perceptible [Aristotle] |
| 10958 | Perhaps numbers are substances? [Aristotle] |
| 13273 | Pluralities divide into discontinous countables; magnitudes divide into continuous things [Aristotle] |
| 12074 | The one in number just is the particular [Aristotle] |
| 17844 | The unit is stipulated to be indivisible [Aristotle] |
| 17845 | If only rectilinear figures existed, then unity would be the triangle [Aristotle] |
| 17859 | Units came about when the unequals were equalised [Aristotle] |
| 17861 | Two men do not make one thing, as well as themselves [Aristotle] |
| 646 | When we count, are we adding, or naming numbers? [Aristotle] |
| 3338 | Numbers have been defined in terms of 'successors' to the concept of 'zero' [Peano, by Blackburn] |
| 5897 | 0 is a non-successor number, all successors are numbers, successors can't duplicate, if P(n) and P(n+1) then P(all-n) [Peano, by Flew] |
| 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] |
| 9793 | Mathematics studies abstracted relations, commensurability and proportion [Aristotle] |
| 13738 | It is a simple truth that the objects of mathematics have being, of some sort [Aristotle] |
| 12339 | Aristotle removes ontology from mathematics, and replaces the true with the beautiful [Aristotle, by Badiou] |