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. |
| 7726 | Aristotelian logic dealt with inferences about concepts, and there were also proposition inferences [Weiner] |
| Full Idea: Till the nineteenth century, it was a common view that Aristotelian logic could evaluate inferences whose validity was based on relations between concepts, while propositional logic could evaluate inferences based on relations between propositions. | |
| From: Joan Weiner (Frege [1999], Ch.3) | |
| A reaction: Venn diagrams relate closely to Aristotelian syllogisms, as each concept is represented by a circle, and shows relations between sets. Arrows seem needed to represent how to go from one proposition to another. Is one static, the other dynamic? |
| 18085 | Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy] |
| Full Idea: When the successive absolute values of a variable decrease indefinitely in such a way as to become less than any given quantity, that variable becomes what is called an 'infinitesimal'. Such a variable has zero as its limit. | |
| From: Augustin-Louis Cauchy (Cours d'Analyse [1821], p.19), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 10.4 | |
| A reaction: The creator of the important idea of the limit still talked in terms of infinitesimals. In the next generation the limit took over completely. |
| 18084 | When successive variable values approach a fixed value, that is its 'limit' [Cauchy] |
| Full Idea: When the values successively attributed to the same variable approach indefinitely a fixed value, eventually differing from it by as little as one could wish, that fixed value is called the 'limit' of all the others. | |
| From: Augustin-Louis Cauchy (Cours d'Analyse [1821], p.19), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 10.4 | |
| A reaction: This seems to be a highly significan proposal, because you can now treat that limit as a number, and adds things to it. It opens the door to Cantor's infinities. Is the 'limit' just a fiction? |
| 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. |