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. |
| 22457 | If the aim is good outcomes, why are killings worse than deaths? [Scheffler, by Foot] |
| Full Idea: It is not clear why, in the measurement of the goodness of states of affairs or total outcomes, killings for instance should count so much more heavily than deaths. | |
| From: report of Samuel Scheffler (The Rejection of Consequentialism [1982], pp.108-12) by Philippa Foot - Utilitarianism and the Virtues p.61 | |
| A reaction: Or drunken drivers worse than careless drivers. Or stolen bracelets than lost bracelets. The point is that morality is about the behaviour of people, and not about consequences. |
| 6005 | Animals are dangerous and nourishing, and can't form contracts of justice [Hermarchus, by Sedley] |
| Full Idea: Hermarchus said that animal killing is justified by considerations of human safety and nourishment and by animals' inability to form contractual relations of justice with us. | |
| From: report of Hermarchus (fragments/reports [c.270 BCE]) by David A. Sedley - Hermarchus | |
| A reaction: Could the last argument be used to justify torturing animals? Or could we eat a human who was too brain-damaged to form contracts? |