19 ideas
| 19579 | The history of philosophy is just experiments in how to do philosophy [Novalis] |
| Full Idea: The history of philosophy up to now is nothing but a history of attempts to discover how to do philosophy. | |
| From: Novalis (Logological Fragments I [1798], 01) | |
| A reaction: I take post-Fregean analytic metaphysics to be another experiment in how to do philosophy. I suspect that the experiment of Husserl, Heidegger, Derrida etc has been a failure. |
| 19583 | Philosophy only begins when it studies itself [Novalis] |
| Full Idea: All philosophy begins where philosophizing philosophises itself. | |
| From: Novalis (Logological Fragments I [1798], 79) | |
| A reaction: The modern trend for doing metaphilosophy strikes me as wholly admirable, though I suspect that the enemies of philosophy (who are legion) see it as a decadence. |
| 17833 | The first-order ZF axiomatisation is highly non-categorical [Hallett,M] |
| Full Idea: The first-order Sermelo-Fraenkel axiomatisation is highly non-categorical. | |
| From: Michael Hallett (Introduction to Zermelo's 1930 paper [1996], p.1213) |
| 17834 | Non-categoricity reveals a sort of incompleteness, with sets existing that the axioms don't reveal [Hallett,M] |
| Full Idea: The non-categoricity of the axioms which Zermelo demonstrates reveals an incompleteness of a sort, ....for this seems to show that there will always be a set (indeed, an unending sequence) that the basic axioms are incapable of revealing to be sets. | |
| From: Michael Hallett (Introduction to Zermelo's 1930 paper [1996], p.1215) | |
| A reaction: Hallett says the incompleteness concerning Zermelo was the (transfinitely) indefinite iterability of the power set operation (which is what drives the 'iterative conception' of sets). |
| 17837 | Zermelo allows ur-elements, to enable the widespread application of set-theory [Hallett,M] |
| Full Idea: Unlike earlier writers (such as Fraenkel), Zermelo clearly allows that there might be ur-elements (that is, objects other than the empty set, which have no members). Indeed he sees in this the possibility of widespread application of set-theory. | |
| From: Michael Hallett (Introduction to Zermelo's 1930 paper [1996], p.1217) |
| 19581 | A problem is a solid mass, which the mind must break up [Novalis] |
| Full Idea: A problem is a solid, synthetic mass which is broken up by means of the penetrating power of the mind. | |
| From: Novalis (Logological Fragments I [1798], 04) |
| 19584 | Whoever first counted to two must have seen the possibility of infinite counting [Novalis] |
| Full Idea: Whoever first understood how to count to two, even if he still found it difficult to keep on counting, saw nonetheless the possibility of infinite counting according to the same laws. | |
| From: Novalis (Logological Fragments I [1798], 84) | |
| A reaction: Presumably it is the discerning of the 'law' which triggers this. Is the key concept 'addition' or 'successor' (or are those the same?). |
| 17836 | The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M] |
| Full Idea: In 1938, Gödel showed that ZF plus the General Continuum Hypothesis is consistent if ZF is. Cohen showed that ZF and not-GCH is also consistent if ZF is, which finally shows that neither GCH nor ¬GCH can be proved from ZF itself. | |
| From: Michael Hallett (Introduction to Zermelo's 1930 paper [1996], p.1217) |
| 22025 | Novalis thought self-consciousness cannot disclose 'being', because we are temporal creatures [Novalis, by Pinkard] |
| Full Idea: Novalis came to think that the kind of existence , or 'being', that is disclosed in self-consciousness remains, as it were, forever out of our reach because of the kind of temporal creatures we are. | |
| From: report of Novalis (Logological Fragments I [1798]) by Terry Pinkard - German Philosophy 1760-1860 06 | |
| A reaction: It looks here as if Novalis kicked Heidegger's Dasein into the long grass before it even got started, but maybe they have different notions of 'being', with Novalis seeking timeless being, and Heidegger, influenced by Bergson, accepting temporality. |
| 22067 | Poetry is true idealism, and the self-consciousness of the universe [Novalis] |
| Full Idea: Poetry is true idealism - contemplation of the world as contemplation of a large mind - self-consciousness of the universe. | |
| From: Novalis (Logological Fragments I [1798], vol 3 p.640), quoted by Ernst Behler - Early German Romanticism | |
| A reaction: It looks like the step from Fichte's idealism to the Absolute is poetry, which embraces the ultimate Spinozan substance through imagination. Or something... |
| 19585 | Every person has his own language [Novalis] |
| Full Idea: Every person has his own language. Language is the expression of the spirit. | |
| From: Novalis (Logological Fragments I [1798], 91) | |
| A reaction: Nice to see someone enthusiastically affirming what was later famously denied, and maybe even disproved. |
| 19582 | Morality and philosophy are mutually dependent [Novalis] |
| Full Idea: Without philosophy there is no true morality, and without morality no philosophy. | |
| From: Novalis (Logological Fragments I [1798], 21) | |
| A reaction: Challenging! Maybe unthinking people drift in a sea of vague untethered morality, and people who seem to have a genuine moral strength are always rooted in some sort of philosophy. Maybe. Is the passion for philosophy a moral passion? |
| 22027 | Life isn't given to us like a novel - we write the novel [Novalis] |
| Full Idea: Life must not be a novel that is given to us, but one that is made by us. | |
| From: Novalis (Logological Fragments I [1798], 99) | |
| A reaction: The roots of existentialism are in the Romantic movement. Sartre seems to have taken this idea literally. |
| 19580 | If the pupil really yearns for the truth, they only need a hint [Novalis] |
| Full Idea: If a pupil genuinely desires truth is requires only a hint to show him how to find what he is seeking. | |
| From: Novalis (Logological Fragments I [1798], 02) | |
| A reaction: The tricky job for the teacher or supervisor is assessing whether the pupil genuinely desires truth, or needs motivating. |
| 8430 | Causal statements are used to explain, to predict, to control, to attribute responsibility, and in theories [Kim] |
| Full Idea: The function of causal statements is 1) to explain events, 2) for predictive usefulness, 3) to help control events, 4) with agents, to attribute moral responsibility, 5) in physical theory. We should judge causal theories by how they account for these. | |
| From: Jaegwon Kim (Causes and Counterfactuals [1973], p.207) | |
| A reaction: He suggests that Lewis's counterfactual theory won't do well on this test. I think the first one is what matters. Philosophy aims to understand, and that is achieved through explanation. Regularity and counterfactual theories explain very little. |
| 8396 | Many counterfactuals have nothing to do with causation [Kim, by Tooley] |
| Full Idea: Kim has pointed out that there are a number of counterfactuals that have nothing to do with causation. If John marries Mary, then if John had not existed he would not have married Mary, but that is not the cause of their union. | |
| From: report of Jaegwon Kim (Causes and Counterfactuals [1973], 5.2) by Michael Tooley - Causation and Supervenience | |
| A reaction: One might not think that this mattered, but it leaves the problem of distinguishing between the causal counterfactuals and the rest (and you mustn't mention causation when you are doing it!). |
| 8429 | Counterfactuals can express four other relations between events, apart from causation [Kim] |
| Full Idea: Counterfactuals can express 'analytical' dependency, or the fact that one event is part of another, or an action done by doing another, or (most interestingly) an event can determine another without causally determining it. | |
| From: Jaegwon Kim (Causes and Counterfactuals [1973], p.205) | |
| A reaction: [Kim gives example of each case] Counterfactuals can even express a relation that involves no dependency. Or they might just involve redescription, as in 'If Scott were still alive, then the author of "Waverley" would be too'. |
| 8428 | Causation is not the only dependency relation expressed by counterfactuals [Kim] |
| Full Idea: The sort of dependency expressed by counterfactual relations is considerably broader than strictly causal dependency, and causal dependency is only one among the heterogeneous group of dependency relationships counterfactuals can express. | |
| From: Jaegwon Kim (Causes and Counterfactuals [1973], p.205) | |
| A reaction: In 'If pigs could fly, one and one still wouldn't make three' there isn't even a dependency. Kim has opened up lines of criticism which make the counterfactual analysis of causation look very implausible to me. |
| 4781 | Many counterfactual truths do not imply causation ('if yesterday wasn't Monday, it isn't Tuesday') [Kim, by Psillos] |
| Full Idea: Kim gives a range of examples of counterfactual dependence without causation, as: 'if yesterday wasn't Monday, today wouldn't be Tuesday', and 'if my sister had not given birth, I would not be an uncle'. | |
| From: report of Jaegwon Kim (Causes and Counterfactuals [1973]) by Stathis Psillos - Causation and Explanation §3.3 | |
| A reaction: This is aimed at David Lewis. The objection seems like commonsense. "If you blink, the cat gets it". Causal claims involve counterfactuals, but they are not definitive of what causation is. |