display all the ideas for this combination of philosophers
25 ideas
560 | Mathematical precision is only possible in immaterial things [Aristotle] |
12377 | Mathematics is concerned with forms, not with superficial properties [Aristotle] |
9076 | Mathematics studies the domain of perceptible entities, but its subject-matter is not perceptible [Aristotle] |
9790 | Geometry studies naturally occurring lines, but not as they occur in nature [Aristotle] |
12372 | The essence of a triangle comes from the line, mentioned in any account of triangles [Aristotle] |
1729 | We perceive number by the denial of continuity [Aristotle] |
10958 | Perhaps numbers are substances? [Aristotle] |
13273 | Pluralities divide into discontinous countables; magnitudes divide into continuous things [Aristotle] |
11044 | One is prior to two, because its existence is implied by two [Aristotle] |
22962 | Two is the least number, but there is no least magnitude, because it is always divisible [Aristotle] |
11042 | Parts of a line join at a point, so it is continuous [Aristotle] |
12074 | The one in number just is the particular [Aristotle] |
12273 | Unit is the starting point of number [Aristotle] |
12369 | A unit is what is quantitatively indivisible [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] |
17447 | Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck] |
18090 | Without infinity time has limits, magnitudes are indivisible, and numbers come to an end [Aristotle] |
22929 | Aristotle's infinity is a property of the counting process, that it has no natural limit [Aristotle, by Le Poidevin] |
13212 | Infinity is only potential, never actual [Aristotle] |
22930 | Lengths do not contain infinite parts; parts are created by acts of division [Aristotle, by Le Poidevin] |
18833 | A continuous line cannot be composed of indivisible points [Aristotle] |