3 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. |
| 7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
| Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom. | |
| From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88) | |
| A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate'). |
| 19376 | A machine is best defined by its final cause, which explains the roles of the parts [Leibniz] |
| Full Idea: Any machine ...is best defined in terms of its final cause, so that in the description of the parts it is therefore apparent in what way each of them is coordinated with the others for the intended us. | |
| From: Gottfried Leibniz (The Human Body is a sort of Machine [1683], p.290), quoted by Richard T.W. Arthur - Leibniz 3 'Machines' | |
| A reaction: We would use the 'function', an inherently teleological concept, and a concept which is almost indispensable for giving an illuminating description of the world. If nature is dispositional, it points towards things. Leibniz views persons as machines. |