3 ideas
| 17783 | A number is not a multitude, but a unified ratio between quantities [Newton] |
| Full Idea: By a Number we understand not so much a Multitude of Unities, as the abstracted Ratio of any Quantity to another Quantity of the same Kind, which we take for unity. | |
| From: Isaac Newton (Universal Arithmetick [1669]), quoted by John Mayberry - What Required for Foundation for Maths? p.407-2 | |
| A reaction: This needs a metaphysics of 'kinds' (since lines can't have ratios with solids). Presumably Newton wants the real numbers to be more basic than the natural numbers. This is the transition from Greek to modern. |
| 7845 | When we need to do something, we depute an inner servant to remind us of it [Proust] |
| Full Idea: Whenever we have something definite to do at a given moment, we depute a certain person inside us who is accustomed to that sort of duty to keep an eye on the clock and warn us of the time. This inner servant reminded me that Albertine was coming soon. | |
| From: Marcel Proust (Remembrance of Things Past [1922], Cities.2.1) | |
| A reaction: I think Proust is wrong that we 'depute' this servant. I think it comes as a built-in feature, and the servant could never be abandoned or sacked, no matter how poor the service. Each of us is a team, which includes servants. |
| 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'). |