5 ideas
| 5437 | The claim of hermeneutics to give knowledge through understanding is challenged by positivism [Mautner on Dilthey] |
| Full Idea: The claim of hermeneutics to give understanding instead of explanation can be seen as part of the theory of knowledge, but it seems to be incompatible with the most accepted aspects of positivism. | |
| From: comment on Wilhelm Dilthey (works [1883]) by Thomas Mautner - Penguin Dictionary of Philosophy p.248 | |
| A reaction: So much the worse for positivism. The same conflict occurs in modern philosophy of mind. God can be a positivist if he likes, but we must settle for hermeneutics for a lot of our knowledge. We are discussing method, not ontology. |
| 9616 | A set is a collection into a whole of distinct objects of our intuition or thought [Cantor] |
| Full Idea: A set is any collection into a whole M of definite, distinct objects m ... of our intuition or thought. | |
| From: George Cantor (The Theory of Transfinite Numbers [1897], p.85), quoted by James Robert Brown - Philosophy of Mathematics Ch.2 | |
| A reaction: This is the original conception of a set, which hit trouble with Russell's Paradox. Cantor's original definition immediately invites thoughts about the status of vague objects. |
| 15896 | Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine] |
| Full Idea: Cantor grafted the Power Set axiom onto his theory when he needed it to incorporate the real numbers, ...but his theory was supposed to be theory of collections that can be counted, but he didn't know how to count the new collections. | |
| From: report of George Cantor (The Theory of Transfinite Numbers [1897]) by Shaughan Lavine - Understanding the Infinite I | |
| A reaction: I take this to refer to the countability of the sets, rather than the members of the sets. Lavine notes that counting was Cantor's key principle, but he now had to abandon it. Zermelo came to the rescue. |
| 5436 | Natural science seeks explanation; human sciences seek understanding [Dilthey, by Mautner] |
| Full Idea: In the natural sciences we seek for causes and ask for explanation (erklären), but in the human or cultural sciences we seek understanding (verstehen) by means of interpretation. | |
| From: report of Wilhelm Dilthey (works [1883]) by Thomas Mautner - Penguin Dictionary of Philosophy p.144 | |
| A reaction: This seems a nice distinction. The prospects of finding the causes or explanations of Shakespeare's plays don't look good, and when you have explained the causes of a chemical reaction you probably have all you need. |
| 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'). |