6 ideas
| 15575 | Knowledge is not a static set of correct propositions, but a continuing search for better interpretations [Polt] |
| Full Idea: Thanks to Heidegger, hermeneutics has gained wider acceptance - that knowledge is not a static set of correct propositions, but a continuing search for better interpretations. | |
| From: Richard Polt (Heidegger: an introduction [1999], 3.§7) | |
| A reaction: I am not sure if I understand the notion of a search that has a refusal to actually find anything as one of its basic principles. |
| 18200 | Very large sets should be studied in an 'if-then' spirit [Putnam] |
| Full Idea: Sets of a very high type or very high cardinality (higher than the continuum, for example), should today be investigated in an 'if-then' spirit. | |
| From: Hilary Putnam (The Philosophy of Logic [1971], p.347), quoted by Penelope Maddy - Naturalism in Mathematics | |
| A reaction: Quine says the large sets should be regarded as 'uninterpreted'. |
| 18199 | Indispensability strongly supports predicative sets, and somewhat supports impredicative sets [Putnam] |
| Full Idea: We may say that indispensability is a pretty strong argument for the existence of at least predicative sets, and a pretty strong, but not as strong, argument for the existence of impredicative sets. | |
| From: Hilary Putnam (The Philosophy of Logic [1971], p.346), quoted by Penelope Maddy - Naturalism in Mathematics II.2 |
| 8857 | We must quantify over numbers for science; but that commits us to their existence [Putnam] |
| Full Idea: Quantification over mathematical entities is indispensable for science..., therefore we should accept such quantification; but this commits us to accepting the existence of the mathematical entities in question. | |
| From: Hilary Putnam (The Philosophy of Logic [1971], p.57), quoted by Stephen Yablo - Apriority and Existence | |
| A reaction: I'm not surprised that Hartry Field launched his Fictionalist view of mathematics in response to such a counterintuitive claim. I take it we use numbers to slice up reality the way we use latitude to slice up the globe. No commitment to lines! |
| 15568 | When we consider possibilities, there must be something we are considering [Polt] |
| Full Idea: We would hardly want to say that a possibility is nothing, since surely we are considering something when we consider possibilities. | |
| From: Richard Polt (Heidegger: an introduction [1999], 1) | |
| A reaction: A nice contribution to the issue of whether modality is a feature of actuality. I would prefer to say that we can self-evidently utter truths and falsehoods about what is or is not possible, in nature, in logic, and maybe in metaphysics. |
| 19698 | Deviant causal chain: a reason causes an action, but isn't the reason for which it was performed [Davidson, by Neta] |
| Full Idea: A 'deviant causal chain' is when an agent has a reason for performing an action, and for the reason to cause the performance, without that being the reason for which the agent performed it. | |
| From: report of Donald Davidson (Freedom to Act [1973]) by Ram Neta - The Basing Relation II | |
| A reaction: Davidson's thesis is that 'reasons are causes'. This was a problem he faced. I think this discussion is now obscured by the complex and multi-layered account of action which is emerging from neuroscience. |