3 ideas
13190 | I don't admit infinite numbers, and consider infinitesimals to be useful fictions [Leibniz] |
Full Idea: Notwithstanding my infinitesimal calculus, I do not admit any real infinite numbers, even though I confess that the multitude of things surpasses any finite number, or rather any number. ..I consider infinitesimal quantities to be useful fictions. | |
From: Gottfried Leibniz (Letters to Samuel Masson [1716], 1716) | |
A reaction: With the phrase 'useful fictions' we seem to have jumped straight into Harty Field. I'm with Leibniz on this one. The history of mathematics is a series of ingenious inventions, whenever they seem to make further exciting proofs possible. |
20074 | We can keep Davidson's account of intentions in action, by further explaining prior intentions [Davidson, by Stout,R] |
Full Idea: Davidson's original account of intentions might still stand if we could accept that prior intentions are different in kind from intentions with which one acts. | |
From: report of Donald Davidson (Problems in the Explanation of Action [1987]) by Rowland Stout - Action 8 'Davidson's' | |
A reaction: Davidson says prior intention is all-out judgement of desirability. Prior intentions are more deliberate, with the other intentions as a presumed background to action. Compare Sartre's dual account of the self. |
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'). |