3 ideas
13166 | Essences are no use in mathematics, if all mathematical truths are necessary [Mancosu] |
Full Idea: Essences and essential properties do not seem to be useful in mathematical contexts, since all mathematical truths are regarded as necessary (though Kit Fine distinguishes between essential and necessary properties). | |
From: Paolo Mancosu (Explanation in Mathematics [2008], §6.1) | |
A reaction: I take the proviso in brackets to be crucial. This represents a distortion of notion of an essence. There is a world of difference between the central facts about the nature of a square and the peripheral inferences derivable from it. |
20166 | A man is a responsible agent to the extent he has an intention, and knows what he is doing [Hampshire] |
Full Idea: A man becomes more and more a free and responsible agent the more he at all times knows what he is doing, in every sense of this phrase, and the more he acts with a definite and clearly formed intention. | |
From: Stuart Hampshire (Thought and Responsibility [1960], p.178), quoted by John Kekes - The Human Condition 07.1 | |
A reaction: Kekes quote this (along with Frankfurt, Hart etc) as the 'received view' of responsibility, which he attacks. |
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? |