Combining Texts

All the ideas for 'Necessary Existents', 'The Philosophy of Art (2nd ed)' and 'Philosophy of Mathematics'

unexpand these ideas     |    start again     |     specify just one area for these texts


33 ideas

1. Philosophy / F. Analytic Philosophy / 3. Analysis of Preconditions
'Necessary' conditions are requirements, and 'sufficient' conditions are guarantees [Davies,S]
     Full Idea: A 'necessary' condition for something's being an X is condition that all Xs must satisfy. ...A 'sufficient' condition for something's being an X is a condition that, when satisfied, guarantees that what satisfies it is an X.
     From: Stephen Davies (The Philosophy of Art (2nd ed) [2016], 2.1)
     A reaction: By summarising this I arrive at the requirement/guarantee formulation, which I am rather pleased with. What is required for rain, and what guarantees rain?
2. Reason / D. Definition / 1. Definitions
A definition of a thing gives all the requirements which add up to a guarantee of it [Davies,S]
     Full Idea: If we specify the 'necessary' conditions that are 'sufficient' for something's being an X, that is a combination of conditions such that all and only Xs meet them, which is the hallmark of a definition of X-hood.
     From: Stephen Davies (The Philosophy of Art (2nd ed) [2016], 2.1)
     A reaction: There are, of course, many other ways to define something, as shown in the 2.D Reason | Definition section of this database. This nicely summarises the classical view.
2. Reason / D. Definition / 13. Against Definition
Feminists warn that ideologies use timeless objective definitions as a tool of repression [Davies,S]
     Full Idea: According to the feminist critique, ideologies that operate as tools of political repression are falsely represented as definitions possessing a timeless, natural, asocial, universal objectivity.
     From: Stephen Davies (The Philosophy of Art (2nd ed) [2016], 2.2)
     A reaction: I suppose this does not just apply to definitions, but to all expressions of ideologically repressive strategy. I'm trying to think of an example of a specifically feminist problem case. Davies doesn't cite anyone.
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
Naïve set theory says any formula defines a set, and coextensive sets are identical [Linnebo]
     Full Idea: Naïve set theory is based on the principles that any formula defines a set, and that coextensive sets are identical.
     From: Øystein Linnebo (Philosophy of Mathematics [2017], 4.2)
     A reaction: The second principle is a standard axiom of ZFC. The first principle causes the trouble.
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
In classical semantics singular terms refer, and quantifiers range over domains [Linnebo]
     Full Idea: In classical semantics the function of singular terms is to refer, and that of quantifiers, to range over appropriate domains of entities.
     From: Øystein Linnebo (Philosophy of Mathematics [2017], 7.1)
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
The axioms of group theory are not assertions, but a definition of a structure [Linnebo]
     Full Idea: Considered in isolation, the axioms of group theory are not assertions but comprise an implicit definition of some abstract structure,
     From: Øystein Linnebo (Philosophy of Mathematics [2017], 3.5)
     A reaction: The traditional Euclidean approach is that axioms are plausible assertions with which to start. The present idea sums up the modern approach. In the modern version you can work backwards from a structure to a set of axioms.
To investigate axiomatic theories, mathematics needs its own foundational axioms [Linnebo]
     Full Idea: Mathematics investigates the deductive consequences of axiomatic theories, but it also needs its own foundational axioms in order to provide models for its various axiomatic theories.
     From: Øystein Linnebo (Philosophy of Mathematics [2017], 4.1)
     A reaction: This is a problem which faces the deductivist (if-then) approach. The deductive process needs its own grounds.
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
You can't prove consistency using a weaker theory, but you can use a consistent theory [Linnebo]
     Full Idea: If the 2nd Incompleteness Theorem undermines Hilbert's attempt to use a weak theory to prove the consistency of a strong one, it is still possible to prove the consistency of one theory, assuming the consistency of another theory.
     From: Øystein Linnebo (Philosophy of Mathematics [2017], 4.6)
     A reaction: Note that this concerns consistency, not completeness.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Mathematics is the study of all possible patterns, and is thus bound to describe the world [Linnebo]
     Full Idea: Philosophical structuralism holds that mathematics is the study of abstract structures, or 'patterns'. If mathematics is the study of all possible patterns, then it is inevitable that the world is described by mathematics.
     From: Øystein Linnebo (Philosophy of Mathematics [2017], 11.1)
     A reaction: [He cites the physicist John Barrow (2010) for this] For me this is a major idea, because the concept of a pattern gives a link between the natural physical world and the abstract world of mathematics. No platonism is needed.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logical truth is true in all models, so mathematical objects can't be purely logical [Linnebo]
     Full Idea: Modern logic requires that logical truths be true in all models, including ones devoid of any mathematical objects. It follows immediately that the existence of mathematical objects can never be a matter of logic alone.
     From: Øystein Linnebo (Philosophy of Mathematics [2017], 2)
     A reaction: Hm. Could there not be a complete set of models for a theory which all included mathematical objects? (I can't answer that).
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Game Formalism has no semantics, and Term Formalism reduces the semantics [Linnebo]
     Full Idea: Game Formalism seeks to banish all semantics from mathematics, and Term Formalism seeks to reduce any such notions to purely syntactic ones.
     From: Øystein Linnebo (Philosophy of Mathematics [2017], 3.3)
     A reaction: This approach was stimulated by the need to justify the existence of the imaginary number i. Just say it is a letter!
19. Language / D. Propositions / 3. Concrete Propositions
Propositions (such as 'that dog is barking') only exist if their items exist [Williamson]
     Full Idea: A proposition about an item exists only if that item exists... how could something be the proposition that that dog is barking in circumstances in which that dog does not exist?
     From: Timothy Williamson (Necessary Existents [2002], p.240), quoted by Trenton Merricks - Propositions
     A reaction: This is a view of propositions I can't make sense of. If I'm under an illusion that there is a dog barking nearby, when there isn't one, can I not say 'that dog is barking'? If I haven't expressed a proposition, what have I done?
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
Aesthetic experience involves perception, but also imagination and understanding [Davies,S]
     Full Idea: It was suggested that aesthetic experience isn't solely perceptual. It's infused by a cognitive but non-conceptual process described by Kant as involving the free play of the imagination and the understanding.
     From: Stephen Davies (The Philosophy of Art (2nd ed) [2016], 1.2)
     A reaction: This fits literature very well, painting quite well, and music hardly at all.
21. Aesthetics / A. Aesthetic Experience / 3. Taste
The faculty of 'taste' was posited to explain why only some people had aesthetic appreciation [Davies,S]
     Full Idea: To explain why not everyone who is prepared to encounter a thing's aesthetic properties can recognise them, ...eighteenth century theorists posited the existence of a special faculty of aesthetic perception, that of taste.
     From: Stephen Davies (The Philosophy of Art (2nd ed) [2016], 1.2)
     A reaction: But there seem to be two aspects to taste - first the capacity to enjoy some sorts of art, and second the ability to discriminate the good from the bad. The latter is 'standards' of taste (Hume's title). Do non-musical people lack taste?
21. Aesthetics / A. Aesthetic Experience / 6. The Sublime
The sublime is negative in awareness of insignificance, and positive in showing understanding [Davies,S]
     Full Idea: An example of the sublime is the vastness of the night sky. ...It includes negative feelings of insignificance in the face of nature's indifference, power and magnitude, but is positive in that we are capable of comprehending such matters.
     From: Stephen Davies (The Philosophy of Art (2nd ed) [2016], 1.2)
     A reaction: The negative part seems to be a very intellectual experience, with close links to religion, and may be the experience that leads to deism (belief in God's indifference).
21. Aesthetics / B. Nature of Art / 1. Defining Art
The idea that art forms are linked into a single concept began in the 1740s [Davies,S]
     Full Idea: The first to link the art forms together explicitly and to separate them from other disciplines and activities were the authors of encyclopedias and books in the 1740s and 1750s.
     From: Stephen Davies (The Philosophy of Art (2nd ed) [2016], 1.2)
     A reaction: Intriguing that no individual seems to get the credit (or blame). Presumably our modern Aesthetics (applied to art) couldn't exist before this move was made - and yet there is plenty of aesthetic discussion in early Greek philosophy.
Defining art as representation or expression or form were all undermined by the avant-garde [Davies,S]
     Full Idea: The avant-garde art of the twentieth century played a significant role in defeating definitions that had prevailed in earlier times, such as ones maintaining that art is representation, expression or significant form
     From: Stephen Davies (The Philosophy of Art (2nd ed) [2016], 2.2)
     A reaction: I really think the first rule of philosophical aesthetics is 'ignore Marcel Duchamp'. We wouldn't give up our idea of philosophy if someone managed to publish a long string of expletives in a philosophy journal. Would we??
'Aesthetic functionalism' says art is what is intended to create aesthetic experiences [Davies,S]
     Full Idea: 'Aesthetic functionalism' maintains that something is an artwork if it is intended to provide the person who contemplates it for its own sake with an aesthetic experience of a significant magnitude on the basis of its aesthetic features.
     From: Stephen Davies (The Philosophy of Art (2nd ed) [2016], 2.5)
     A reaction: [Beardsley is cited as having this view] For this you need to know what an aesthetic 'feature' is, and you'd have to indepdently recognise aesthetic experience.
21. Aesthetics / B. Nature of Art / 4. Art as Expression
Music may be expressive by being 'associated' with other emotional words or events [Davies,S]
     Full Idea: One view explains music's expressiveness as 'associative'. Through being regularly associated with emotionally charged words or events, particular musical ideas become associated with emotions or moods.
     From: Stephen Davies (The Philosophy of Art (2nd ed) [2016], 6.4)
     A reaction: This is a more promising theory. I take the feeling in music to be parasitic on other feelings we have, and other triggers that evoke them. I'm particularly struck with story-telling (which Levinson and Robinson also like).
It seems unlikely that sad music expresses a composer's sadness; it takes ages to write [Davies,S]
     Full Idea: The 'expression theory' holds that if music is sad that is because it expresses the composer's sadness, ...but composers take a long time composing sad works, and may even been gleeful at receiving payment for it.
     From: Stephen Davies (The Philosophy of Art (2nd ed) [2016], 6.4)
     A reaction: [compressed] Pretty conclusive. I see composing as like acting. Just as you can put on a happy or sad face, so a composer can discover music that feels sad or happy. Three movement sonatas don't fit expression at all.
21. Aesthetics / B. Nature of Art / 6. Art as Institution
The 'institutional' theory says art is just something appropriately placed in the 'artworld' [Davies,S]
     Full Idea: The 'institutional' theory says to be an artwork, an artwork must be appropriately placed within a web of practices, roles and frameworks that comprise an informally organised institution, the artworld.
     From: Stephen Davies (The Philosophy of Art (2nd ed) [2016], 2.5)
     A reaction: [He cites George Dickie] This theory seems to entirely developed to cope with the defiant gesture of Marcel Duchamp. Once I am an established artist, I have the authority to label anything I like as a work of art. Silly.
21. Aesthetics / B. Nature of Art / 8. The Arts / a. Music
Music is too definite to be put into words (not too indefinite!) [Davies,S]
     Full Idea: Mendelssohn said that what music expresses is not too indefinite to put into words but, on the contrary, it is too definite.
     From: Stephen Davies (The Philosophy of Art (2nd ed) [2016], 6.4)
     A reaction: Not sure whether that is true, but it is a lovely remark. It certainly challenges the naive philosophical view that words are the most precise mode of expression.
21. Aesthetics / C. Artistic Issues / 1. Artistic Intentions
The title of a painting can be vital, and the artist decrees who the portrait represents [Davies,S]
     Full Idea: The title as given by the artist is something we might need to know (Brueghel's 'Icarus', for example), ...and if a painting depicts one of two twins, it will be the artist's intention that settles which one it is.
     From: Stephen Davies (The Philosophy of Art (2nd ed) [2016], 3.5)
     A reaction: Those two points strike me as conclusively in favour of the importance of an artist's perceived intentions.
We must know what the work is meant to be, to evaluate the artist's achievement [Davies,S]
     Full Idea: Learning that a work is a copy of an earlier work, or is done in the style of some other artist, is relevant to an evaluation of what its creator has achieved.
     From: Stephen Davies (The Philosophy of Art (2nd ed) [2016], 3.6)
     A reaction: A simple but powerful point. We evaluate a forgery as an achievement, and the original plate of a great print as the focus of the achievement. We can assess the achievement of a poem in any printed copy. But what about perfect painting replicas?
Intentionalism says either meaning just is intention, or ('moderate') meaning is successful intention [Davies,S]
     Full Idea: 'Actual intentionalism' holds that work's meaning is what its author intended, ...while 'moderate actual intentionalism' allows that the author's intention determines the work's meaning only if that intention is carried through successfully.
     From: Stephen Davies (The Philosophy of Art (2nd ed) [2016], 5.3)
     A reaction: [He cites Noel Carroll for the moderate version] D.H. Lawrence, probably with a dose of Freud, said 'trust the work, not the artist' (of Moby Dick, I think). The thought is that authors only half know intentions, and works reveal them.
The meaning is given by the audience's best guess at the author's intentions [Davies,S]
     Full Idea: According to the 'hypothetical intentionalist', the work's meaning is determined by the intentions the audience is best justified in attributing to the author, whether or not these are the ones the author actually had.
     From: Stephen Davies (The Philosophy of Art (2nd ed) [2016], 5.4)
     A reaction: [Nehamas, Levinson and Jenefer Robinson are cited] This opens the door for psychiatric interpretations of 'Hamlet', and so on. The experts disagree over the nature of the audience needed to do the job.
21. Aesthetics / C. Artistic Issues / 2. Copies of Art
If we could perfectly clone the Mona Lisa, the original would still be special [Davies,S]
     Full Idea: If we could duplicate 'Mona Lisa', we're likely to be concerned to track the original and keep it separate from its clones, even if we judge that the clone isn't inferior to the original when the goal is art appreciation.
     From: Stephen Davies (The Philosophy of Art (2nd ed) [2016], 4.3)
     A reaction: But why? Is it just a sentimental attachment to what Leonardo worked on? Does the original manuscript of a work of literature have the same importance? We treasure such things, but not for aesthetic reasons.
Art that is multiply instanced may require at least one instance [Davies,S]
     Full Idea: Some multiply instanced artworks, such as novel and poems, must have at least one instance.
     From: Stephen Davies (The Philosophy of Art (2nd ed) [2016], 4.4)
     A reaction: This is a comment on the idea that all artworks, even oil paintings and buildings are potentially multiply instanced (so the work is the type - Wollheim's view, not one of the tokens).
21. Aesthetics / C. Artistic Issues / 4. Emotion in Art
Music isn't just sad because it makes the listener feel sad [Davies,S]
     Full Idea: The 'arousal' theory says music is sad because it moves the hearer to sadness, ...but this seems to get things back to front, because we normally think it is because the music is sad that it moves the listener to sadness.
     From: Stephen Davies (The Philosophy of Art (2nd ed) [2016], 6.4)
     A reaction: The objection is right. If Beethoven's 'Ode to Joy' always makes me feel sad (because it is so hopelessly optimistic), then that makes the music sad. Is the theory saying that there are no feelings in the music?
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
If the depiction of evil is glorified, that is an artistic flaw [Davies,S]
     Full Idea: One case when the depiction of immorality becomes an artistic flaw …is when it is presented in brutal detail in a way that glorifies it. The celebration of evil corrodes the work's artistic value.
     From: Stephen Davies (The Philosophy of Art (2nd ed) [2016], 8.7)
     A reaction: This doesn't allow for the case where the evil is celebrated in one part of a novel, yet the novel as a whole does not endorse the evil. The Marquis de Sade seems to have fully celebrated what we take to be evil.
It is an artistic defect if excessive moral outrage distorts the story, and narrows our sympathies [Davies,S]
     Full Idea: The positive moral stance of a story can be an artistic defect where it shapes the story in an inappropriate fashion. If it displays disproportionate moral outrage, …it reveals a lack of toleration, compassion, or insight into its subject-matter.
     From: Stephen Davies (The Philosophy of Art (2nd ed) [2016], 8.7)
     A reaction: There could be narrative irony in a story told by an angry and puritanical person, which continually condemns wickedness, with the reader expected to have a more tolerant attitude. Hard to think of any examples of this problem.
Immorality may or may not be an artistic defect [Davies,S]
     Full Idea: Immorality in art is sometimes an artistic defect and sometimes not.
     From: Stephen Davies (The Philosophy of Art (2nd ed) [2016], 8.7)
     A reaction: Davies seems to avoid the 'immoralist' view, that immorality in a work of art can sometimes be a strength. A sharp distinction is needed, I think, between the morality of what is depicted, and the morality of the whole artwork.
A work which seeks approval for immorality, but alienates the audience, is a failure [Davies,S]
     Full Idea: A work that looks for the audience's sympathetic approval and alienates them instead, because it's both morally repulsive and incoherent in what it requires them to suppose, isn't an artistic success.
     From: Stephen Davies (The Philosophy of Art (2nd ed) [2016], 8.7)
     A reaction: The implication seems to be that works are only successful if they achieve what the creator consciously intended. Lawrence said trust the novel, not the novelist. Milton's Satan is a famous example of heroism not intended by the author.