3 ideas
18201 | General principles can be obvious in mathematics, but bold speculations in empirical science [Parsons,C] |
Full Idea: The existence of very general principles in mathematics are universally regarded as obvious, where on an empiricist view one would expect them to be bold hypotheses, about which a prudent scientist would maintain reserve. | |
From: Charles Parsons (Mathematical Intuition [1980], p.152), quoted by Penelope Maddy - Naturalism in Mathematics | |
A reaction: This is mainly aimed at Quine's and Putnam's indispensability (to science) argument about mathematics. |
7496 | Rules and duties are based on the will, as that is all we control [Montaigne] |
Full Idea: Since actions and performances are not wholly in our power and since nothing is really in our power but our will - it is on the will that all the rules and duties of Man are based and established. | |
From: Michel de Montaigne (I.7 Our deeds are judged by intention [1580], p.0028) | |
A reaction: This is almost Kant's claim that the only truly good thing is a good will (e.g. Idea 3711). Aristotle disagrees, because a virtuous person should also have good desires. We may will to have good desires, but virtue requires actually having them. |
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'). |