16146 | Two can't be a self-contained unit, because it would need to be one to do that [Democritus, by 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] |
12369 | A unit is what is quantitatively indivisible [Aristotle] |
12273 | Unit is the starting point of number [Aristotle] |
24035 | Unity is something shared by many things, so in that respect they are equals [Descartes] |
24036 | I can only see the proportion of two to three if there is a common measure - their unity [Descartes] |
12956 | Only whole numbers are multitudes of units [Leibniz] |
12920 | There is no multiplicity without true units [Leibniz] |
9147 | Number cannot be defined as addition of ones, since that needs the number; it is a single act of abstraction [Fine,K on Leibniz] |
9801 | Numbers must be assumed to have identical units, as horses are equalised in 'horse-power' [Mill] |
8641 | You can abstract concepts from the moon, but the number one is not among them [Frege] |
9989 | Units can be equal without being identical [Tait on Frege] |
17429 | Frege says only concepts which isolate and avoid arbitrary division can give units [Frege, by Koslicki] |
7207 | Counting needs unities, but that doesn't mean they exist; we borrowed it from the concept of 'I' [Nietzsche] |
9576 | Multiplicity in general is just one and one and one, etc. [Husserl] |
18392 | Classes have cardinalities, so their members must all be treated as units [Armstrong] |
9895 | A number is a multitude composed of units [Dummett] |
18071 | A one-operation is the segregation of a single object [Kitcher] |
17435 | Objects do not naturally form countable units [Koslicki] |