Combining Texts

All the ideas for 'Philosophical Essay on Probability', 'The Philosophy of Art (2nd ed)' and 'The 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 / 4. Axioms for Sets / a. Axioms for sets
ZF set theory has variables which range over sets, 'equals' and 'member', and extensionality [Dummett]
     Full Idea: ZF set theory is a first-order axiomatization. Variables range over sets, there are no second-order variables, and primitive predicates are just 'equals' and 'member of'. The axiom of extensionality says sets with the same members are identical.
     From: Michael Dummett (The Philosophy of Mathematics [1998], 7)
     A reaction: If the eleven members of the cricket team are the same as the eleven members of the hockey team, is the cricket team the same as the hockey team? Our cricket team is better than our hockey team, so different predicates apply to them.
The main alternative to ZF is one which includes looser classes as well as sets [Dummett]
     Full Idea: The main alternative to ZF is two-sorted theories, with some variables ranging over classes. Classes have more generous existence assumptions: there is a universal class, containing all sets, and a class containing all ordinals. Classes are not members.
     From: Michael Dummett (The Philosophy of Mathematics [1998], 7.1.1)
     A reaction: My intuition is to prefer strict systems when it comes to logical theories. The whole point is precision. Otherwise we could just think about things, and skip all this difficult symbolic stuff.
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Intuitionists reject excluded middle, not for a third value, but for possibility of proof [Dummett]
     Full Idea: It must not be concluded from the rejection of excluded middle that intuitionistic logic operates with three values: true, false, and neither true nor false. It does not make use of true and false, but only with a construction being a proof.
     From: Michael Dummett (The Philosophy of Mathematics [1998], 8.1)
     A reaction: This just sounds like verificationism to me, with all its problems. It seems to make speculative statements meaningless, which can't be right. Realism has lots of propositions which are assumed to be true or false, but also unknowable.
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
First-order logic concerns objects; second-order adds properties, kinds, relations and functions [Dummett]
     Full Idea: First-order logic is distinguished by generalizations (quantification) only over objects: second-order logic admits generalizations or quantification over properties or kinds of objects, and over relations between them, and functions defined over them.
     From: Michael Dummett (The Philosophy of Mathematics [1998], 3.1)
     A reaction: Second-order logic was introduced by Frege, but is (interestingly) rejected by Quine, because of the ontological commitments involved. I remain unconvinced that quantification entails ontological commitment, so I'm happy.
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths and inference are characterized either syntactically or semantically [Dummett]
     Full Idea: There are two ways of characterizing logical truths and correct inference. Proof-theoretic or syntactic characterizations, if the formalization admits of proof or derivation; and model-theoretic or semantic versions, being true in all interpretations.
     From: Michael Dummett (The Philosophy of Mathematics [1998], 3.1)
     A reaction: Dummett calls this distinction 'fundamental'. The second one involves truth, and hence meaning, where the first one just responds to rules. ..But how can you have a notion of correctly following a rule, without a notion of truth?
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Ordinals seem more basic than cardinals, since we count objects in sequence [Dummett]
     Full Idea: It can be argued that the notion of ordinal numbers is more fundamental than that of cardinals. To count objects, we must count them in sequence. ..The theory of ordinals forms the substratum of Cantor's theory of cardinals.
     From: Michael Dummett (The Philosophy of Mathematics [1998], 5)
     A reaction: Depends what you mean by 'fundamental'. I would take cardinality to be psychologically prior ('that is a lot of sheep'). You can't order people by height without first acquiring some people with differing heights. I vote for cardinals.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The number 4 has different positions in the naturals and the wholes, with the same structure [Dummett]
     Full Idea: The number 4 cannot be characterized solely by its position in a system, because it has different positions in the system of natural numbers and that of the positive whole numbers, whereas these systems have the very same structure.
     From: Michael Dummett (The Philosophy of Mathematics [1998], 6.1)
     A reaction: Dummett seems to think this is fairly decisive against structuralism. There is also the structure of the real numbers. We will solve this by saying that the wholes are abstracted from the naturals, which are abstracted from the reals. Job done.
13. Knowledge Criteria / C. External Justification / 7. Testimony
The reliability of witnesses depends on whether they benefit from their observations [Laplace, by Hacking]
     Full Idea: The credibility of a witness is in part a function of the story being reported. When the story claims to have infinite value, the temptation to lie for personal benefit is asymptotically infinite.
     From: report of Pierre Simon de Laplace (Philosophical Essay on Probability [1820], Ch.XI) by Ian Hacking - The Emergence of Probability Ch.8
     A reaction: Laplace seems to especially have reports of miracles in mind. This observation certainly dashes any dreams one might have of producing a statistical measure of the reliability of testimony.
16. Persons / F. Free Will / 6. Determinism / a. Determinism
If a supreme intellect knew all atoms and movements, it could know all of the past and the future [Laplace]
     Full Idea: An intelligence knowing at an instant the whole universe could know the movement of the largest bodies and atoms in one formula, provided his intellect were powerful enough to subject all data to analysis. Past and future would be present to his eyes.
     From: Pierre Simon de Laplace (Philosophical Essay on Probability [1820]), quoted by Mark Thornton - Do we have free will? p.70
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.
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.
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.