17 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. |
| 18948 | There is an object for every set of properties (some of which exist, and others don't) [Parsons,T, by Sawyer] |
| Full Idea: According to Terence Parsons, there is an object corresponding to every set of properties. To some of those sets of properties there corresponds an object that exists, and to others there corresponds an object that does not exist (a nonexistent object). | |
| From: report of Terence Parsons (Nonexistent Objects [1980]) by Sarah Sawyer - Empty Names 5 | |
| A reaction: This I take to be the main source of the modern revival of Meinong's notorious view of objects (attacked by Russell). I always find the thought 'a round square is square' to be true, and in need of a truthmaker. But must a round square be non-triangular? |
| 22687 | Maybe literary assessment is evaluating the artist as a suitable friend [Gaut] |
| Full Idea: An approach in Hume (elaborated by Wayne Booth) holds that literary assessment is akin to an act of befriending, for one assesses the author of a work as a suitable friend. | |
| From: Berys Gaut (The Ethical Criticism of Art [1998], 'Some') | |
| A reaction: I like the idea that art exploits our normal range of social emotions and attitudes, so I think this has some truth, but some of the best artists are so out of my league as to not even be candidates for friendship. Dostoevsky? Webster? Caravaggio? |
| 22686 | Formalists say aesthetics concerns types of beauty, or unity, complexity and intensity [Gaut] |
| Full Idea: The formal objects which individuate the aesthetic attitude may be narrowly aesthetic, as beauty, and its subspecies, such as grace and elegance, or more broadly by other formalist criteria, such as Beardley's unity, complexity and intensity. | |
| From: Berys Gaut (The Ethical Criticism of Art [1998], 'Objections 1') | |
| A reaction: I'm not sure about unity or complexity, but intensity was endorsed by Henry James. Intensity doesn't sound very 'formal'. 'Beauty' doesn't seem the right word for the wonderful 'King Lear', or even for Jane Austen novels. |
| 22690 | 'Moralism' says all aesthetic merits are moral merits [Gaut] |
| Full Idea: The view that the only aesthetic merit of works are ethical ones is known as 'moralism'. | |
| From: Berys Gaut (The Ethical Criticism of Art [1998], n 1) | |
| A reaction: [He says this view was demolished by R.W.Beardsmore in 1971] Gaut contrasts this with his own carefully modulated 'ethicism'. Moralism predominated in the eighteenth century, but now looks clearly wrong (or naïve). |
| 22684 | Good ethics counts towards aesthetic merit, and bad ethics counts against it [Gaut] |
| Full Idea: I defend 'ethicism', which says that ethically admirable attitudes count toward the the aesthetic merit of a work, and ethically reprehensible attitudes count against its aesthetic merit. | |
| From: Berys Gaut (The Ethical Criticism of Art [1998], 'Ethicism') | |
| A reaction: He recognises that morally admirable works can explore unethical behaviour, and also that identifying the 'attitude' of a work is not simple. The ethics are not necessary. 'Triumph of the Will' is a classic test case. I disagree with Gaut. |
| 22689 | If we don't respond ethically in the way a work prescribes, that is an aesthetic failure [Gaut] |
| Full Idea: Our having reason not to respond in the way prescribed (because it is unethical) is a failure of the work …so that is an aesthetic failure, which is an aesthetic defect. | |
| From: Berys Gaut (The Ethical Criticism of Art [1998], 'Merited') | |
| A reaction: A key argument for Gaut's theory of 'ethicism' about literature. If 'Triumph of the Will' gets the right response from Nazi sympathisers, that is probably all aesthetic success. Jane Austen hasn't failed if she is rejected as bourgeois. |
| 22685 | Good art does not necessarily improve people (any more than good advice does) [Gaut] |
| Full Idea: Ethicism does not entail the causal thesis that good art ethically improves people, …any more than it follows that earnest ethical advice improves people. | |
| From: Berys Gaut (The Ethical Criticism of Art [1998], 'Ethicism') | |
| A reaction: How successful were sermons, in the great days of Christianity? It seems hard to disagree with Gaut's point. |