7 ideas
| 2945 | Most philosophers start with reality and then examine knowledge; Descartes put the study of knowledge first [Lehrer] |
| Full Idea: Some philosophers (e.g Plato) begin with an account of reality, and then appended an account of how we can know it, ..but Descartes turned the tables, insisting that we must first decide what we can know. | |
| From: Keith Lehrer (Theory of Knowledge (2nd edn) [2000], I p.2) |
| 9198 | It is no longer possible to be a sage, but we can practice the exercise of wisdom [Hadot] |
| Full Idea: Personally I firmly believe, perhaps naively, that it is possible for modern man to live, not as a sage (sophos) - most of the ancients did not hold this to be possible - but as a practitioner of the ever-fragile exercise of wisdom. | |
| From: Pierre Hadot (Philosophy as a way of life [1987], 7) | |
| A reaction: It seems to me quite plausible that the philosophical life might yet become a widespread ideal, even though philosophers seem to still be sheltering from storms two thousand years after Plato gave us that image. |
| 2946 | You cannot demand an analysis of a concept without knowing the purpose of the analysis [Lehrer] |
| Full Idea: An analysis is always relative to some objective. It makes no sense to simply demand an analysis of goodness, knowledge, beauty or truth, without some indication of the purpose of the analysis. | |
| From: Keith Lehrer (Theory of Knowledge (2nd edn) [2000], I p.7) | |
| A reaction: Your dismantling of a car will go better if you know what a car is for, but you can still take it apart in ignorance. |
| 9197 | The logos represents a demand for universal rationality [Hadot] |
| Full Idea: The logos represents a demand for universal rationality. | |
| From: Pierre Hadot (Philosophy as a way of life [1987], 3.3) | |
| A reaction: That is at one end of the spectrum. At the other, in parts of 'Theaetetus', it is just a polite request to be given a few reasons, instead of a splattering of hopes and prejudices. |
| 10053 | Geometrical axioms imply the propositions, but the former may not be true [Russell] |
| Full Idea: We must only assert of various geometries that the axioms imply the propositions, not that the axioms are true and therefore that the propositions are true. | |
| From: Bertrand Russell (Foundations of Geometry [1897], Intro vii), quoted by Alan Musgrave - Logicism Revisited §4 | |
| A reaction: Clearly the truth of the axioms can remain a separate issue from whether they actually imply the theorems. The truth of the axioms might be as much a metaphysical as an empirical question. Musgrave sees this as the birth of if-thenism. |
| 10052 | Geometry is united by the intuitive axioms of projective geometry [Russell, by Musgrave] |
| Full Idea: Russell sought what was common to Euclidean and non-Euclidean systems, found it in the axioms of projective geometry, and took a Kantian view of them. | |
| From: report of Bertrand Russell (Foundations of Geometry [1897]) by Alan Musgrave - Logicism Revisited §4 | |
| A reaction: Russell's work just preceded Hilbert's famous book. Tarski later produced some logical axioms for geometry. |
| 9196 | The pleasure of existing is the only genuine pleasure [Hadot] |
| Full Idea: For epicureans, the only genuine pleasure there is is the pleasure of existing. | |
| From: Pierre Hadot (Philosophy as a way of life [1987], 3.1) | |
| A reaction: I don't know Hadot's source for this claim, but it is a nice idea, which I shall endeavour to incorporate into my own attitude to daily living. I'm not quite clear, though, why the pleasure of music is not a 'genuine' one. |