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All the ideas for 'General Draft', 'The Philosophy of Art (2nd ed)' and 'Frege versus Cantor and Dedekind'

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34 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Philosophy is homesickness - the urge to be at home everywhere [Novalis]
     Full Idea: Philosophy is actually homesickness - the urge to be everywhere at home.
     From: Novalis (General Draft [1799], 45)
     A reaction: The idea of home [heimat] is powerful in German culture. The point of romanticism was seen as largely concerning restless souls like Byron and his heroes, who do not feel at home. Hence ironic detachment.
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?
1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
Analytic philosophy focuses too much on forms of expression, instead of what is actually said [Tait]
     Full Idea: The tendency to attack forms of expression rather than attempting to appreciate what is actually being said is one of the more unfortunate habits that analytic philosophy inherited from Frege.
     From: William W. Tait (Frege versus Cantor and Dedekind [1996], IV)
     A reaction: The key to this, I say, is to acknowledge the existence of propositions (in brains). For example, this belief will make teachers more sympathetic to pupils who are struggling to express an idea, and verbal nit-picking becomes totally irrelevant.
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 / 3. Types of Set / b. Empty (Null) Set
The null set was doubted, because numbering seemed to require 'units' [Tait]
     Full Idea: The conception that what can be numbered is some object (including flocks of sheep) relative to a partition - a choice of unit - survived even in the late nineteenth century in the form of the rejection of the null set (and difficulties with unit sets).
     From: William W. Tait (Frege versus Cantor and Dedekind [1996], IX)
     A reaction: This old view can't be entirely wrong! Frege makes the point that if asked to count a pack of cards, you must decide whether to count cards, or suits, or pips. You may not need a 'unit', but you need a concept. 'Units' name concept-extensions nicely!
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
We can have a series with identical members [Tait]
     Full Idea: Why can't we have a series (as opposed to a linearly ordered set) all of whose members are identical, such as (a, a, a...,a)?
     From: William W. Tait (Frege versus Cantor and Dedekind [1996], VII)
     A reaction: The question is whether the items order themselves, which presumably the natural numbers are supposed to do, or whether we impose the order (and length) of the series. What decides how many a's there are? Do we order, or does nature?
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
Desire for perfection is an illness, if it turns against what is imperfect [Novalis]
     Full Idea: An absolute drive toward perfection and completeness is an illness, as soon as it shows itself to be destructive and averse toward the imperfect, the incomplete.
     From: Novalis (General Draft [1799], 33)
     A reaction: Deep and true! Novalis seems to be a particularist - hanging on to the fine detail of life, rather than being immersed in the theory. These are the philosophers who also turn to literature.
18. Thought / E. Abstraction / 2. Abstracta by Selection
Abstraction is 'logical' if the sense and truth of the abstraction depend on the concrete [Tait]
     Full Idea: If the sense of a proposition about the abstract domain is given in terms of the corresponding proposition about the (relatively) concrete domain, ..and the truth of the former is founded upon the truth of the latter, then this is 'logical abstraction'.
     From: William W. Tait (Frege versus Cantor and Dedekind [1996], V)
     A reaction: The 'relatively' in parentheses allows us to apply his idea to levels of abstraction, and not just to the simple jump up from the concrete. I think Tait's proposal is excellent, rather than purloining 'abstraction' for an internal concept within logic.
Cantor and Dedekind use abstraction to fix grammar and objects, not to carry out proofs [Tait]
     Full Idea: Although (in Cantor and Dedekind) abstraction does not (as has often been observed) play any role in their proofs, but it does play a role, in that it fixes the grammar, the domain of meaningful propositions, and so determining the objects in the proofs.
     From: William W. Tait (Frege versus Cantor and Dedekind [1996], V)
     A reaction: [compressed] This is part of a defence of abstractionism in Cantor and Dedekind (see K.Fine also on the subject). To know the members of a set, or size of a domain, you need to know the process or function which created the set.
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
Abstraction may concern the individuation of the set itself, not its elements [Tait]
     Full Idea: A different reading of abstraction is that it concerns, not the individuating properties of the elements relative to one another, but rather the individuating properties of the set itself, for example the concept of what is its extension.
     From: William W. Tait (Frege versus Cantor and Dedekind [1996], VIII)
     A reaction: If the set was 'objects in the room next door', we would not be able to abstract from the objects, but we might get to the idea of things being contain in things, or the concept of an object, or a room. Wrong. That's because they are objects... Hm.
18. Thought / E. Abstraction / 8. Abstractionism Critique
Why should abstraction from two equipollent sets lead to the same set of 'pure units'? [Tait]
     Full Idea: Why should abstraction from two equipollent sets lead to the same set of 'pure units'?
     From: William W. Tait (Frege versus Cantor and Dedekind [1996])
     A reaction: [Tait is criticising Cantor] This expresses rather better than Frege or Dummett the central problem with the abstractionist view of how numbers are derived from matching groups of objects.
If abstraction produces power sets, their identity should imply identity of the originals [Tait]
     Full Idea: If the power |A| is obtained by abstraction from set A, then if A is equipollent to set B, then |A| = |B|. But this does not imply that A = B. So |A| cannot just be A, taken in abstraction, unless that can identify distinct sets, ..or create new objects.
     From: William W. Tait (Frege versus Cantor and Dedekind [1996], V)
     A reaction: An elegant piece of argument, which shows rather crucial facts about abstraction. We are then obliged to ask how abstraction can create an object or a set, if the central activity of abstraction is just ignoring certain features.
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
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).
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.
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
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.
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.
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.