5 ideas
| 9548 | A mathematical object exists if there is no contradiction in its definition [Waterfield] |
| Full Idea: A mathematical object exists provided there is no contradiction implied in its definition. | |
| From: Robin Waterfield (Introduction to 'Hippias Minor' [1987], p.44), quoted by Charles Chihara - A Structural Account of Mathematics 1.4 | |
| A reaction: A rather bizarre criterion for existence. Not one, for example, that you would consider applying to the existence of physical objects! But then Poincaré is the father of 'conventionalism', rather than being a platonist. |
| 1389 | If memory is the sole criterion of identity, we ought to use it for other people too [Shoemaker] |
| Full Idea: If memory were the sole criterion of personal identity it would have to be the sole criterion that we use in making identity statements about persons other than ourselves. | |
| From: Sydney Shoemaker (Personal Identity and Memory [1959], §4) | |
| A reaction: From Locke's point of view, he is much less certain about the continued identity of other people, because he allows the possibility of transference of minds. Even we might reject physical identity, if a person had suffered a severe trauma. |
| 1390 | Bodily identity is one criterion and memory another, for personal identity [Shoemaker, by PG] |
| Full Idea: Bodily identity must be one of the criteria for personal identity (to establish that a rememberer was present at a past event), but memory itself must also be accepted as one of the criteria. | |
| From: report of Sydney Shoemaker (Personal Identity and Memory [1959], §5) by PG - Db (ideas) | |
| A reaction: This concerns the epistemology of personal identity, not the ontology. Someone with total amnesia would probably accept a driving licence as a criterion. Is personal identity a mental state, or a precondition which makes mental states possible? |
| 1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
| Full Idea: Archelaus was the first person to say that the universe is boundless. | |
| From: report of Archelaus (fragments/reports [c.450 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.Ar.3 |
| 5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |
| Full Idea: Archelaus wrote that life on Earth began in a primeval slime. | |
| From: report of Archelaus (fragments/reports [c.450 BCE]) by Malcolm Schofield - Archelaus | |
| A reaction: This sounds like a fairly clearcut assertion of the production of life by evolution. Darwin's contribution was to propose the mechanism for achieving it. We should honour the name of Archelaus for this idea. |