26 ideas
| 15647 | Truth definitions don't produce a good theory, because they go beyond your current language [Halbach] |
| Full Idea: It is far from clear that a definition of truth can lead to a philosophically satisfactory theory of truth. Tarski's theorem on the undefinability of the truth predicate needs resources beyond those of the language for which it is being defined. | |
| From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1) | |
| A reaction: The idea is that you need a 'metalanguage' for the definition. If I say 'p' is a true sentence in language 'L', I am not making that observation from within language L. The dream is a theory confined to the object language. |
| 15649 | In semantic theories of truth, the predicate is in an object-language, and the definition in a metalanguage [Halbach] |
| Full Idea: In semantic theories of truth (Tarski or Kripke), a truth predicate is defined for an object-language. This definition is carried out in a metalanguage, which is typically taken to include set theory or another strong theory or expressive language. | |
| From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1) | |
| A reaction: Presumably the metalanguage includes set theory because that connects it with mathematics, and enables it to be formally rigorous. Tarski showed, in his undefinability theorem, that the meta-language must have increased resources. |
| 15655 | Should axiomatic truth be 'conservative' - not proving anything apart from implications of the axioms? [Halbach] |
| Full Idea: If truth is not explanatory, truth axioms should not allow proof of new theorems not involving the truth predicate. It is hence said that axiomatic truth should be 'conservative' - not implying further sentences beyond what the axioms can prove. | |
| From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.3) | |
| A reaction: [compressed] |
| 15654 | If truth is defined it can be eliminated, whereas axiomatic truth has various commitments [Halbach] |
| Full Idea: If truth can be explicitly defined, it can be eliminated, whereas an axiomatized notion of truth may bring all kinds of commitments. | |
| From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.3) | |
| A reaction: The general principle that anything which can be defined can be eliminated (in an abstract theory, presumably, not in nature!) raises interesting questions about how many true theories there are which are all equivalent to one another. |
| 15650 | Axiomatic theories of truth need a weak logical framework, and not a strong metatheory [Halbach] |
| Full Idea: Axiomatic theories of truth can be presented within very weak logical frameworks which require very few resources, and avoid the need for a strong metalanguage and metatheory. | |
| From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1) |
| 15648 | Instead of a truth definition, add a primitive truth predicate, and axioms for how it works [Halbach] |
| Full Idea: The axiomatic approach does not presuppose that truth can be defined. Instead, a formal language is expanded by a new primitive predicate of truth, and axioms for that predicate are then laid down. | |
| From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1) | |
| A reaction: Idea 15647 explains why Halbach thinks the definition route is no good. |
| 15656 | Deflationists say truth merely serves to express infinite conjunctions [Halbach] |
| Full Idea: According to many deflationists, truth serves merely the purpose of expressing infinite conjunctions. | |
| From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.3) | |
| A reaction: That is, it asserts sentences that are too numerous to express individually. It also seems, on a deflationist view, to serve for anaphoric reference to sentences, such as 'what she just said is true'. |
| 15657 | To prove the consistency of set theory, we must go beyond set theory [Halbach] |
| Full Idea: The consistency of set theory cannot be established without assumptions transcending set theory. | |
| From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 2.1) |
| 15652 | We can use truth instead of ontologically loaded second-order comprehension assumptions about properties [Halbach] |
| Full Idea: The reduction of 2nd-order theories (of properties or sets) to axiomatic theories of truth may be conceived as a form of reductive nominalism, replacing existence assumptions (for comprehension axioms) by ontologically innocent truth assumptions. | |
| From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.1) | |
| A reaction: I like this very much, as weeding properties out of logic (without weeding them out of the world). So-called properties in logic are too abundant, so there is a misfit with their role in science. |
| 15651 | Instead of saying x has a property, we can say a formula is true of x - as long as we have 'true' [Halbach] |
| Full Idea: Quantification over (certain) properties can be mimicked in a language with a truth predicate by quantifying over formulas. Instead of saying that Tom has the property of being a poor philosopher, we can say 'x is a poor philosopher' is true of Tom. | |
| From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.1) | |
| A reaction: I love this, and think it is very important. He talks of 'mimicking' properties, but I see it as philosophers mistakenly attributing properties, when actually what they were doing is asserting truths involving certain predicates. |
| 14739 | 'Water' is two-dimensionally inconstant, with different intensions in different worlds [Chalmers, by Sider] |
| Full Idea: For Chalmers, 'water' is two-dimensionally inconstant, in that it has different secondary intensions relative to different worlds of utterance. | |
| From: report of David J.Chalmers (Foundations of Two-Dimensional Semantics [2006]) by Theodore Sider - Four Dimensionalism 7.2 | |
| A reaction: In this way 'water' is regarded as being like an indexical (such as 'I'), which has a fixed meaning component, and a second component which varies with different utterances. Maybe. |
| 12157 | Kant gave form and status to aesthetics, and Hegel gave it content [Kant, by Scruton] |
| Full Idea: Kant gave form and status to aesthetics, and Hegel endowed it with content. | |
| From: report of Immanuel Kant (Critique of Judgement I: Aesthetic [1790]) by Roger Scruton - Recent Aesthetics in England and America p.3 |
| 20346 | The aesthetic attitude is a matter of disinterestedness [Kant, by Wollheim] |
| Full Idea: The aesthetic attitude is defined by Kant in terms of disinterestedness. | |
| From: report of Immanuel Kant (Critique of Judgement I: Aesthetic [1790]) by Richard Wollheim - Art and Its Objects 54 | |
| A reaction: This is presumably, mainly, to explain our enjoyment of the miseries of tragedy. We just give ourselves up to a merry jig by Haydn. |
| 18547 | Only rational beings can experience beauty [Kant, by Scruton] |
| Full Idea: Kant is surely right that the experience of beauty, like the judgements in which it issues, is the prerogative of rational beings. | |
| From: report of Immanuel Kant (Critique of Judgement I: Aesthetic [1790]) by Roger Scruton - Beauty: a very short introduction 1 | |
| A reaction: I'm not sure how Scruton can say that Kant is 'surely right'. It is an interesting speculation. Are we to dogmatically affirm that bees get no aesthetic thrill when they spot a promising flower? Something in their little brains attracts them. |
| 24172 | It is hard to see why we would have developed Kant's 'disinterested' aesthetic attitude [Cochrane on Kant] |
| Full Idea: The Kantian notion of disinterest isolated aesthetic value from the rest of our lives. It is hard to understand why we should have developed a tendency that is detached from our everyday practical purposes. | |
| From: comment on Immanuel Kant (Critique of Judgement I: Aesthetic [1790], §2) by Tom Cochrane - The Aesthetic Value of the World 1.4 | |
| A reaction: Cochrane always seeks an evolutionary framework for accounts of aesthetics, and I agree with him. That doesn't devalue them. The best things in life, like piano music, are obviously offshoots of things which evolved for other reasons. |
| 20408 | With respect to the senses, taste is an entirely personal matter [Kant] |
| Full Idea: With regard to the agreeable, the principle Everyone has his own taste (of the senses) is valid. | |
| From: Immanuel Kant (Critique of Judgement I: Aesthetic [1790], CUP 7 5:212), quoted by Elizabeth Schellekens - Immanuel Kant (aesthetics) 1 | |
| A reaction: This is a preliminary concession, and he goes on to defend more objective views of taste. |
| 20409 | When we judge beauty, it isn't just personal; we judge on behalf of everybody [Kant] |
| Full Idea: It is ridiculous if someone justifies his tast by saying 'this object is beautiful for me'. . .If he pronounces that something is beautiful, then he expects the very same satisfaction of others: he judges not merely for himself, but for everyone. | |
| From: Immanuel Kant (Critique of Judgement I: Aesthetic [1790], CUP 7 5:213), quoted by Elizabeth Schellekens - Immanuel Kant (aesthetics) 1 | |
| A reaction: For Kant this would also be the hallmark of rationality - that we expect, or hope for, a consensus when we express a rational judgement. But this expectation is far less in cases of beauty. We do not expect total agreement from very tasteful people. |
| 20411 | Saying everyone has their own taste destroys the very idea of taste [Kant] |
| Full Idea: To say thast 'Everyone has his special taste' would be to dismiss the very possibility of aesthetic taste, and to deny that there could be aesthetic judgement 'that could make a rightful claim to the assent of everyone'. | |
| From: Immanuel Kant (Critique of Judgement I: Aesthetic [1790], CUP 7 5:213), quoted by Elizabeth Schellekens - Immanuel Kant (aesthetics) 2.2 | |
| A reaction: I am a great believer in the objectivity of taste (within sensible reason). But the great evidence against it is the shifting standards of taste over the centuries. Nineteenth century collectors wasted fortunes on inferior works, it seems to us. |
| 24170 | Kant thinks beauty ignores its objects, because it is only 'form' engaging with mind [Cochrane on Kant] |
| Full Idea: Kant thinks that the ideal of beauty requires no concept of what the object is. Universality demands that appreciation be purely a matter of the way the form of the object fits one's cognitive machinery. | |
| From: comment on Immanuel Kant (Critique of Judgement I: Aesthetic [1790]) by Tom Cochrane - The Aesthetic Value of the World 1.3 | |
| A reaction: This confirms further my increasingly negative view of Kant. Everything in him points to idealism (despite denials by his fans), and via Hegel we arrive at the idea that our values are all 'cultural constructs', rather than responses to reality. |
| 22711 | The beautiful is not conceptualised as moral, but it symbolises or resembles goodness [Kant, by Murdoch] |
| Full Idea: Kant insists that the beautiful must not be tainted with the good (that is, not conceptualised in any way which would bring it into the sphere of moral judgement) yet he says that the beautiful symbolises the good, it is an analogy of the good. | |
| From: report of Immanuel Kant (Critique of Judgement I: Aesthetic [1790]) by Iris Murdoch - The Sublime and the Good p.209 | |
| A reaction: Kant evidently wanted a very pure view of the aesthetic experience, drained of any overlapping feelings or beliefs. I'm not sure I understand how the beautiful can symbolise or be analogous to the good, while being devoid of it. |
| 4025 | Kant saw beauty as a sort of disinterested pleasure, which has become separate from the good [Kant, by Taylor,C] |
| Full Idea: Kant, in his third critique, defined beauty in terms of a certain kind of disinterested pleasure;….this is the basis for a declaration of independence of the beautiful relative to the good. | |
| From: report of Immanuel Kant (Critique of Judgement I: Aesthetic [1790]) by Charles Taylor - Sources of the Self §23.1 | |
| A reaction: This is a rebellion against the Greeks, especially Plato, and prepares the ground for the idea of 'art for art's sake'. Personally, I'm with Plato. |
| 20412 | Beauty is only judged in pure contemplation, and not with something else at stake [Kant] |
| Full Idea: If the question is whether something is beautiful, one does not want to know whether there is something that is or that could be at stake, for us or for someone else, in the existence of the thing, but rather how we judge it in mere contemplation. | |
| From: Immanuel Kant (Critique of Judgement I: Aesthetic [1790], CUP 2 5:204), quoted by Elizabeth Schellekens - Immanuel Kant (aesthetics) 2.3 | |
| A reaction: This evidently denies that function has anything to do with beauty, and seems to be a prelude to 'art for art's sake'. But a running cheetah cannot be separated from the sheer efficiencey and focus of the performance. |
| 22046 | The mathematical sublime is immeasurable greatness; the dynamical sublime is overpowering [Kant, by Pinkard] |
| Full Idea: Kant distinguished the 'mathematical' and 'dynamical' sublime. The former involves immeasurable greatness (or smallness) such that we cannot even present them to ourselves. The latter is of something large and overpowering, which we can morally resist. | |
| From: report of Immanuel Kant (Critique of Judgement I: Aesthetic [1790]) by Terry Pinkard - German Philosophy 1760-1860 13 | |
| A reaction: Presumably Cantor revealed the full extent of the mathematical sublime ('heaven', according to Hilbert). We await the comet that destroys the Earth to fully experience the other one. |
| 21458 | The sublime is a moral experience [Kant, by Gardner] |
| Full Idea: The sublime is understood by Kant as a moral experience. | |
| From: report of Immanuel Kant (Critique of Judgement I: Aesthetic [1790], 28-9) by Sebastian Gardner - Kant and the Critique of Pure Reason 09 'Judgment' | |
| A reaction: Gardner give the source in Kant. I can't accept that the initial experience of the sublime is moral in character. It could easily acquire a moral character after contemplation by someone who had such inclinations. |
| 5643 | Aesthetic values are not objectively valid, but we must treat them as if they are [Kant, by Scruton] |
| Full Idea: The 'Critique of Judgement' argues, then, not for the objective validity of aesthetic values, but for the fact that we must think of them as objectively valid. | |
| From: report of Immanuel Kant (Critique of Judgement I: Aesthetic [1790]) by Roger Scruton - Short History of Modern Philosophy §11.7 | |
| A reaction: The trouble with these transcendental arguments of Kant is that they render you powerless to discuss the question of whether values are actually objective. We are all trapped in presuppositions, instead of testing suppositions. |
| 20410 | The judgement of beauty is not cognitive, but relates, via imagination, to pleasurable feelings [Kant] |
| Full Idea: In order to understand whether or not something is beautiful, we do not relate the representation by means of understanding to the object for cognition, but relate it by means of the imagination ..to the subject and its feeling of pleasure or displeasure. | |
| From: Immanuel Kant (Critique of Judgement I: Aesthetic [1790], CUP 1 5:203), quoted by Elizabeth Schellekens - Immanuel Kant (aesthetics) 2.1 | |
| A reaction: This is to distinguish the particular type of judgement which counts as 'aesthetic' - the point being that it is not cognitive - it is not a matter of knowledge and facts, but a cool judgement made about a warm feeling of pleasure. I think. |