7 ideas
10245 | One geometry cannot be more true than another [Poincaré] |
Full Idea: One geometry cannot be more true than another; it can only be more convenient. | |
From: Henri Poincaré (Science and Method [1908], p.65), quoted by Stewart Shapiro - Philosophy of Mathematics | |
A reaction: This is the culminating view after new geometries were developed by tinkering with Euclid's parallels postulate. |
13795 | Properties only have identity in the context of their contraries [Elder] |
Full Idea: The very being, the identity, of any property consists at least in part in its contrasting as it does with its own proper contraries. | |
From: Crawford L. Elder (Real Natures and Familiar Objects [2004], 2.4) | |
A reaction: See Elder for the details of this, but the idea that properties can only be individuated contextually sounds promising. |
13798 | Maybe we should give up the statue [Elder] |
Full Idea: Some contemporary metaphysicians infer that one of the objects must go, namely, the statue. | |
From: Crawford L. Elder (Real Natures and Familiar Objects [2004], 7.2) | |
A reaction: [He cites Zimmerman 1995] This looks like a recipe for creating a vast gulf between philosophers and the rest of the population. If it is right, it makes the true ontology completely useless in understanding our daily lives. |
13797 | The loss of an essential property means the end of an existence [Elder] |
Full Idea: The loss of any essential property must amount to the end of an existence. | |
From: Crawford L. Elder (Real Natures and Familiar Objects [2004], 3) | |
A reaction: This is orthodoxy for essentialists, and I presume that Aristotle would agree, but I have a problem with the essence of a great athlete, who then grows old. Must we say that they lose their identity-as-an-athlete? |
13794 | Essential properties by nature occur in clusters or packages [Elder] |
Full Idea: Essential properties by nature occur in clusters or packages. | |
From: Crawford L. Elder (Real Natures and Familiar Objects [2004], 2.2) | |
A reaction: Elder proposes this as his test for the essentialness of a property - his Test of Flanking Uniformities. A nice idea. |
13796 | Essential properties are bound together, and would be lost together [Elder] |
Full Idea: The properties of any essential nature are bound together....[122] so any case in which one of our envisioned familiar objects loses one of its essential properties will be a case in which it loses several. | |
From: Crawford L. Elder (Real Natures and Familiar Objects [2004], 3) | |
A reaction: This sounds like a fairly good generalisation rather than a necessary truth. Is there a natural selection for properties, so that only the properties which are able to bind to others to form teams are able to survive and flourish? |
2685 | The Greek 'philia' covers all good and fruitful relationships [Cooper,JM] |
Full Idea: The Greek 'philia' is much wider than our "friendship"; it includes family relationships, and business relationships and membership of institutions. | |
From: John M. Cooper (Aristotle on Friendship [1977], p.301) |