16 ideas
| 18755 | Validity is explained as truth in all models, because that relies on the logical terms [McGee] |
| Full Idea: A model of a language assigns values to non-logical terms. If a sentence is true in every model, its truth doesn't depend on those non-logical terms. Hence the validity of an argument comes from its logical form. Thus models explain logical validity. | |
| From: Vann McGee (Logical Consequence [2014], 4) | |
| A reaction: [compressed] Thus you get a rigorous account of logical validity by only allowing the rigorous input of model theory. This is the modern strategy of analytic philosophy. But is 'it's red so it's coloured' logically valid? |
| 18751 | Natural language includes connectives like 'because' which are not truth-functional [McGee] |
| Full Idea: Natural language includes connectives that are not truth-functional. In order for 'p because q' to be true, both p and q have to be true, but knowing the simpler sentences are true doesn't determine whether the larger sentence is true. | |
| From: Vann McGee (Logical Consequence [2014], 2) |
| 18761 | Second-order variables need to range over more than collections of first-order objects [McGee] |
| Full Idea: To get any advantage from moving to second-order logic, we need to assign to second-order variables a role different from merely ranging over collections made up of things the first-order variables range over. | |
| From: Vann McGee (Logical Consequence [2014], 7) | |
| A reaction: Thus it is exciting if they range over genuine properties, but not so exciting if you merely characterise those properties as sets of first-order objects. This idea leads into a discussion of plural quantification. |
| 18753 | An ontologically secure semantics for predicate calculus relies on sets [McGee] |
| Full Idea: We can get a less ontologically perilous presentation of the semantics of the predicate calculus by using sets instead of concepts. | |
| From: Vann McGee (Logical Consequence [2014], 4) | |
| A reaction: The perilous versions rely on Fregean concepts, and notably Russell's 'concept that does not fall under itself'. The sets, of course, have to be ontologically secure, and so will involve the iterative conception, rather than naive set theory. |
| 18754 | Logically valid sentences are analytic truths which are just true because of their logical words [McGee] |
| Full Idea: Logically valid sentences are a species of analytic sentence, being true not just in virtue of the meanings of their words, but true in virtue of the meanings of their logical words. | |
| From: Vann McGee (Logical Consequence [2014], 4) | |
| A reaction: A helpful link between logical truths and analytic truths, which had not struck me before. |
| 18757 | Soundness theorems are uninformative, because they rely on soundness in their proofs [McGee] |
| Full Idea: Soundness theorems are seldom very informative, since typically we use informally, in proving the theorem, the very same rules whose soundness we are attempting to establish. | |
| From: Vann McGee (Logical Consequence [2014], 5) | |
| A reaction: [He cites Quine 1935] |
| 18760 | The culmination of Euclidean geometry was axioms that made all models isomorphic [McGee] |
| Full Idea: One of the culminating achievements of Euclidean geometry was categorical axiomatisations, that describe the geometric structure so completely that any two models of the axioms are isomorphic. The axioms are second-order. | |
| From: Vann McGee (Logical Consequence [2014], 7) | |
| A reaction: [He cites Veblen 1904 and Hilbert 1903] For most mathematicians, categorical axiomatisation is the best you can ever dream of (rather than a single true axiomatisation). |
| 18762 | A maxim claims that if we are allowed to assert a sentence, that means it must be true [McGee] |
| Full Idea: If our linguistic conventions entitle us to assert a sentence, they thereby make it true, because of the maxim that 'truth is the norm of assertion'. | |
| From: Vann McGee (Logical Consequence [2014], 8) | |
| A reaction: You could only really deny that maxim if you had no belief at all in truth, but then you can assert anything you like (with full entitlement). Maybe you can assert anything you like as long as it doesn't upset anyone? Etc. |
| 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. |
| 1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
| Full Idea: Archelaus was the first person to say that the universe is boundless. | |
| From: report of Archelaus (fragments/reports [c.450 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.Ar.3 |
| 5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |
| Full Idea: Archelaus wrote that life on Earth began in a primeval slime. | |
| From: report of Archelaus (fragments/reports [c.450 BCE]) by Malcolm Schofield - Archelaus | |
| A reaction: This sounds like a fairly clearcut assertion of the production of life by evolution. Darwin's contribution was to propose the mechanism for achieving it. We should honour the name of Archelaus for this idea. |