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All the ideas for 'Consciousness', 'Art and Its Objects' and 'Thinking About Mathematics'

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55 ideas

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Physicalism requires the naturalisation or rejection of set theory [Lycan]
     Full Idea: Eventually set theory will have to be either naturalised or rejected, if a thoroughgoing physicalism is to be maintained.
     From: William Lycan (Consciousness [1987], 8.4)
     A reaction: Personally I regard Platonism as a form of naturalism (though a rather bold and dramatic one). The central issue seems to be the ability of the human main/brain to form 'abstract' notions about the physical world in which it lives.
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro]
     Full Idea: Intuitionists in mathematics deny excluded middle, because it is symptomatic of faith in the transcendent existence of mathematical objects and/or the truth of mathematical statements.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 1.2)
     A reaction: There are other problems with excluded middle, such as vagueness, but on the whole I, as a card-carrying 'realist', am committed to the law of excluded middle.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
The number 3 is presumably identical as a natural, an integer, a rational, a real, and complex [Shapiro]
     Full Idea: It is surely wise to identify the positions in the natural numbers structure with their counterparts in the integer, rational, real and complex number structures.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 10.2)
     A reaction: The point is that this might be denied, since 3, 3/1, 3.00.., and -3*i^2 are all arrived at by different methods of construction. Natural 3 has a predecessor, but real 3 doesn't. I agree, intuitively, with Shapiro. Russell (1919) disagreed.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy
Cauchy gave a formal definition of a converging sequence. [Shapiro]
     Full Idea: A sequence a1,a2,... of rational numbers is 'Cauchy' if for each rational number ε>0 there is a natural number N such that for all natural numbers m, n, if m>N and n>N then -ε < am - an < ε.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 7.2 n4)
     A reaction: The sequence is 'Cauchy' if N exists.
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Categories are the best foundation for mathematics [Shapiro]
     Full Idea: There is a dedicated contingent who hold that the category of 'categories' is the proper foundation for mathematics.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 10.3 n7)
     A reaction: He cites Lawvere (1966) and McLarty (1993), the latter presenting the view as a form of structuralism. I would say that the concept of a category will need further explication, and probably reduce to either sets or relations or properties.
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / f. Zermelo numbers
Two definitions of 3 in terms of sets disagree over whether 1 is a member of 3 [Shapiro]
     Full Idea: Zermelo said that for each number n, its successor is the singleton of n, so 3 is {{{null}}}, and 1 is not a member of 3. Von Neumann said each number n is the set of numbers less than n, so 3 is {null,{null},{null,{null}}}, and 1 is a member of 3.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 10.2)
     A reaction: See Idea 645 - Zermelo could save Plato from the criticisms of Aristotle! These two accounts are cited by opponents of the set-theoretical account of numbers, because it seems impossible to arbitrate between them.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Numbers do not exist independently; the essence of a number is its relations to other numbers [Shapiro]
     Full Idea: The structuralist vigorously rejects any sort of ontological independence among the natural numbers; the essence of a natural number is its relations to other natural numbers.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 10.1)
     A reaction: This seems to place the emphasis on ordinals (what order?) rather than on cardinality (how many?). I am strongly inclined to think that this is the correct view, though you can't really have relations if there is nothing to relate.
A 'system' is related objects; a 'pattern' or 'structure' abstracts the pure relations from them [Shapiro]
     Full Idea: A 'system' is a collection of objects with certain relations among them; a 'pattern' or 'structure' is the abstract form of a system, highlighting the interrelationships and ignoring any features they do not affect how they relate to other objects.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 10.1)
     A reaction: Note that 'ignoring' features is a psychological account of abstraction, which (thanks to Frege and Geach) is supposed to be taboo - but which I suspect is actually indispensable in any proper account of thought and concepts.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logicism seems to be a non-starter if (as is widely held) logic has no ontology of its own [Shapiro]
     Full Idea: The thesis that principles of arithmetic are derivable from the laws of logic runs against a now common view that logic itself has no ontology. There are no particular logical objects. From this perspective logicism is a non-starter.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 5.1)
     A reaction: This criticism strikes me as utterly devastating. There are two routes to go: prove that logic does have an ontology of objects (what would they be?), or - better - deny that arithmetic contains any 'objects'. Or give up logicism.
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Term Formalism says mathematics is just about symbols - but real numbers have no names [Shapiro]
     Full Idea: Term Formalism is the view that mathematics is just about characters or symbols - the systems of numerals and other linguistic forms. ...This will cover integers and rational numbers, but what are real numbers supposed to be, if they lack names?
     From: Stewart Shapiro (Thinking About Mathematics [2000], 6.1.1)
     A reaction: Real numbers (such as pi and root-2) have infinite decimal expansions, so we can start naming those. We could also start giving names like 'Harry' to other reals, though it might take a while. OK, I give up.
Game Formalism is just a matter of rules, like chess - but then why is it useful in science? [Shapiro]
     Full Idea: Game Formalism likens mathematics to chess, where the 'content' of mathematics is exhausted by the rules of operating with its language. ...This, however, leaves the problem of why the mathematical games are so useful to the sciences.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 6.1.2)
     A reaction: This thought pushes us towards structuralism. It could still be a game, but one we learned from observing nature, which plays its own games. Chess is, after all, modelled on warfare.
Deductivism says mathematics is logical consequences of uninterpreted axioms [Shapiro]
     Full Idea: The Deductivist version of formalism (sometimes called 'if-thenism') says that the practice of mathematics consists of determining logical consequences of otherwise uninterpreted axioms.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 6.2)
     A reaction: [Hilbert is the source] More plausible than Term or Game Formalism (qv). It still leaves the question of why it seems applicable to nature, and why those particular axioms might be chosen. In some sense, though, it is obviously right.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Critics resent the way intuitionism cripples mathematics, but it allows new important distinctions [Shapiro]
     Full Idea: Critics commonly complain that the intuitionist restrictions cripple the mathematician. On the other hand, intuitionist mathematics allows for many potentially important distinctions not available in classical mathematics, and is often more subtle.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 7.1)
     A reaction: The main way in which it cripples is its restriction on talk of infinity ('Cantor's heaven'), which was resented by Hilbert. Since high-level infinities are interesting, it would be odd if we were not allowed to discuss them.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / c. Conceptualism
Conceptualist are just realists or idealist or nominalists, depending on their view of concepts [Shapiro]
     Full Idea: I classify conceptualists according to what they say about properties or concepts. If someone classified properties as existing independent of language I would classify her as a realist in ontology of mathematics. Or they may be idealists or nominalists.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 2.2.1)
     A reaction: In other words, Shapiro wants to eliminate 'conceptualist' as a useful label in philosophy of mathematics. He's probably right. All thought involves concepts, but that doesn't produce a conceptualist theory of, say, football.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
'Impredicative' definitions refer to the thing being described [Shapiro]
     Full Idea: A definition of a mathematical entity is 'impredicative' if it refers to a collection that contains the defined entity. The definition of 'least upper bound' is impredicative as it refers to upper bounds and characterizes a member of this set.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 1.2)
     A reaction: The big question is whether mathematics can live with impredicative definitions, or whether they threaten to be viciously circular, and undermine the whole enterprise.
7. Existence / C. Structure of Existence / 2. Reduction
Institutions are not reducible as types, but they are as tokens [Lycan]
     Full Idea: Institutional types are irreducible, though I assume that institutional tokens are reducible in the sense of strict identity, all the way down to the subatomic level.
     From: William Lycan (Consciousness [1987], 4.3)
     A reaction: This seems a promising distinction, as the boundaries of 'institutions' disappear when you begin to reduce them to lower levels (cf. Idea 4601), and yet plenty of institutions are self-evidently no more than physics. Plants are invisible as physics.
Types cannot be reduced, but levels of reduction are varied groupings of the same tokens [Lycan]
     Full Idea: If types cannot be reduced to more physical levels, this is not an embarrassment, as long as our institutional categories, our physiological categories, and our physical categories are just alternative groupings of the same tokens.
     From: William Lycan (Consciousness [1987], 4.3)
     A reaction: This is a self-evident truth about a car engine, so I don't see why it wouldn't apply equally to a brain. Lycan's identification of the type as the thing which cannot be reduced seems a promising explanation of much confusion among philosophers.
7. Existence / C. Structure of Existence / 3. Levels of Reality
One location may contain molecules, a metal strip, a key, an opener of doors, and a human tragedy [Lycan]
     Full Idea: One space-time slice may be occupied by a collection of molecules, a metal strip, a key, an allower of entry to hotel rooms, a facilitator of adultery, and a destroyer souls.
     From: William Lycan (Consciousness [1987], 4.3)
     A reaction: Desdemona's handkerchief is a nice example. This sort of remark seems to be felt by some philosophers to be heartless wickedness, and yet it so screamingly self-evident that it is impossible to deny.
7. Existence / E. Categories / 3. Proposed Categories
I see the 'role'/'occupant' distinction as fundamental to metaphysics [Lycan]
     Full Idea: I see the 'role'/'occupant' distinction as fundamental to metaphysics.
     From: William Lycan (Consciousness [1987], 4.0)
     A reaction: A passing remark in a discussion of functionalism about the mind, but I find it appealing. Causation is basic to materialistic metaphysics, and it creates networks of regular causes. It leaves open the essentialist question of WHY it has that role.
8. Modes of Existence / E. Nominalism / 5. Class Nominalism
Classes rarely share properties with their members - unlike universals and types [Wollheim]
     Full Idea: Classes can share properties with their members (e.g. the class of big things is big), but this is very rare. ....In the case of both universals and types, there will be shared properties. Red things can be exhilarating, and so can redness.
     From: Richard Wollheim (Art and Its Objects [1968], 92)
     A reaction: 'Exhilarating' is an extrinsic property, so not the best illustration. This is interesting, but would need checking with a wide range of examples. (Too busy for that right now)
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / b. Direct realism
I think greenness is a complex microphysical property of green objects [Lycan]
     Full Idea: Personally I favour direct realism regarding secondary qualities, and identify greenness with some complex microphysical property exemplified by green physical objects.
     From: William Lycan (Consciousness [1987], 8.4)
     A reaction: He cites D.M.Armstrong (1981) as his source. Personally I find this a bewildering proposal. Does he think there is greenness in grass AS WELL AS the emission of that wavelength of electro-magnetic radiation? Is greenness zooming through the air?
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro]
     Full Idea: Rationalism is a long-standing school that can be characterized as an attempt to extend the perceived methodology of mathematics to all of knowledge.
     From: Stewart Shapiro (Thinking About Mathematics [2000], 1.1)
     A reaction: Sometimes called 'Descartes's Dream', or the 'Enlightenment Project', the dream of proving everything. Within maths, Hilbert's Programme aimed for the same certainty. Idea 22 is the motto for the opposition to this approach.
15. Nature of Minds / B. Features of Minds / 4. Intentionality / a. Nature of intentionality
Intentionality comes in degrees [Lycan]
     Full Idea: Intentionality comes in degrees.
     From: William Lycan (Consciousness [1987], 5.4)
     A reaction: I agree. A footprint is 'about' a foot, in the sense of containing concentrated information about it. Can we, though, envisage a higher degree than human thought? Is there a maximum degree? Everything is 'about' everything, in some respect.
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
Teleological views allow for false intentional content, unlike causal and nomological theories [Lycan]
     Full Idea: The teleological view begins to explain intentionality, and in particular allows brain states and events to have false intentional content; causal and nomological theories of intentionality tend to falter on this last task.
     From: William Lycan (Consciousness [1987], 4.4)
     A reaction: Certainly if you say thought is 'caused' by the world, false thought become puzzling. I'm not sure I understand the rest of this, but it is an intriguing remark about a significant issue…
15. Nature of Minds / B. Features of Minds / 5. Qualia / c. Explaining qualia
Pain is composed of urges, desires, impulses etc, at different levels of abstraction [Lycan]
     Full Idea: Our phenomenal experience of pain has components - it is a complex, consisting (perhaps) of urges, desires, impulses, and beliefs, probably occurring at quite different levels of institutional abstraction.
     From: William Lycan (Consciousness [1987], 5.5)
     A reaction: This seems to be true, and offers the reductionist a strategy for making inroads into the supposed irreducable and fundamental nature of qualia. What's it like to be a complex hierarchically structured multi-functional organism?
The right 'level' for qualia is uncertain, though top (behaviourism) and bottom (particles) are false [Lycan]
     Full Idea: It is just arbitrary to choose a level of nature a priori as the locus of qualia, even though we can agree that high levels (such as behaviourism) and low-levels (such as the subatomic) can be ruled out as totally improbable.
     From: William Lycan (Consciousness [1987], 5.6)
     A reaction: Very good. People scream 'qualia!' whenever the behaviour level or the atomic level are proposed as the locations of the mind, but the suggestion that they are complex, and are spread across many functional levels in the middle sounds good.
15. Nature of Minds / C. Capacities of Minds / 4. Objectification
We often treat a type as if it were a sort of token [Wollheim]
     Full Idea: Much of the time we think and talk of a type as though it were itself a kind of token.
     From: Richard Wollheim (Art and Its Objects [1968], 35)
     A reaction: A helpful way of connecting what I call 'objectification' to the more conventional modern philosophical vocabulary. Thus I might claim that beauty is superior to truth, as if they were two tokens.
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
If energy in the brain disappears into thin air, this breaches physical conservation laws [Lycan]
     Full Idea: By interacting causally, Cartesian dualism seems to violate the conservation laws of physics (concerning matter and energy). This seems testable, and afferent and efferent pathways disappearing into thin air would suggest energy is not conserved.
     From: William Lycan (Consciousness [1987], 1.1)
     A reaction: It would seem to be no problem as long as outputs were identical in energy to inputs. If the experiment could actually be done, the result might astonish us.
In lower animals, psychology is continuous with chemistry, and humans are continuous with animals [Lycan]
     Full Idea: Evolution has proceeded in all other known species by increasingly complex configurations of molecules and organs, which support primitive psychologies; our human psychologies are more advanced, but undeniably continuous with lower animals.
     From: William Lycan (Consciousness [1987], 1.1)
     A reaction: Personally I find the evolution objection to dualism highly persuasive. I don't see how anyone can take evolution seriously and be a dualist. If there is a dramatic ontological break at some point, a plausible reason would be needed for that.
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
Two behaviourists meet. The first says,"You're fine; how am I?" [Lycan]
     Full Idea: Old joke: two Behaviourists meet in the street, and the first says,"You're fine; how am I?"
     From: William Lycan (Consciousness [1987], n1.6)
     A reaction: This invites the response that introspection is uniquely authoritative about 'how we are', but this has been challenged quite a lot recently, which pushes us to consider whether these stupid behaviourists might actually have a good point.
17. Mind and Body / C. Functionalism / 1. Functionalism
If functionalism focuses on folk psychology, it ignores lower levels of function [Lycan]
     Full Idea: 'Analytical functionalists', who hold that meanings of mental terms are determined by the causal roles associated with them by 'folk psychology', deny themselves appeals to lower levels of functional organisation.
     From: William Lycan (Consciousness [1987], 5.4)
     A reaction: Presumably folk psychology can fit into the kind of empirical methodology favoured by behaviourists, whereas 'lower levels' are going to become rather speculative and unscientific.
Functionalism must not be too abstract to allow inverted spectrum, or so structural that it becomes chauvinistic [Lycan]
     Full Idea: The functionalist must find a level of characterisation of mental states that is not so abstract or behaviouristic as to rule out the possibility of inverted spectrum etc., nor so specific and structural as to fall into chauvinism.
     From: William Lycan (Consciousness [1987], 5.4)
     A reaction: If too specific then animals and aliens won't be able to implement the necessary functions; if the theory becomes very behaviouristic, then it loses interest in the possibility of an inverted spectrum. He is certainly right to hunt for a middle ground.
17. Mind and Body / C. Functionalism / 2. Machine Functionalism
The distinction between software and hardware is not clear in computing [Lycan]
     Full Idea: Even the software/hardware distinction as it is literally applied within computer science is philosophically unclear.
     From: William Lycan (Consciousness [1987], 4.4)
     A reaction: This is true, and very important for functionalist theories of the mind. Even very volatile software is realised in 'hard' physics, and rewritable discs etc blur the distinction between 'programmable' and 'hardwired'.
17. Mind and Body / C. Functionalism / 5. Teleological Functionalism
Mental types are a subclass of teleological types at a high level of functional abstraction [Lycan]
     Full Idea: I am taking mental types to form a small subclass of teleological types occurring for the most part at a high level of functional abstraction.
     From: William Lycan (Consciousness [1987], 4.3)
     A reaction: He goes on to say that he understand teleology in evolutionary terms. There is always a gap between how you characterise or individuate something, and what it actually is. To say spanners are 'a small subclass of tools' is not enough.
Teleological characterisations shade off smoothly into brutely physical ones [Lycan]
     Full Idea: Highly teleological characterisations, unlike naïve and explicated mental characterisations, have the virtue of shading off fairly smoothly into (more) brutely physical ones.
     From: William Lycan (Consciousness [1987], 4.3)
     A reaction: Thus the purpose of a car engine, and a spark plug, and the spark, and the temperature, and the vibration of molecules show a fading away of the overt purpose, disappearing into the pointless activity of electrons and quantum levels.
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
Identity theory is functionalism, but located at the lowest level of abstraction [Lycan]
     Full Idea: 'Neuron' may be understood as a physiological term or a functional term, so even the Identity Theorist is a Functionalist - one who locates mental entities at a very low level of abstraction.
     From: William Lycan (Consciousness [1987], 5.4)
     A reaction: This is a striking observation, and somewhat inclines me to switch from identity theory to functionalism. If you ask what is the correct level of abstraction, Lycan's teleological-homuncular version refers you to all the levels.
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
We reduce the mind through homuncular groups, described abstractly by purpose [Lycan]
     Full Idea: I am explicating the mental in a reductive way, by reducing mental characterizations to homuncular institutional ones, which are teleological characterizations at various levels of functional abstraction.
     From: William Lycan (Consciousness [1987], 4.3)
     A reaction: I think this is the germ of a very good physicalist account of the mind. More is needed than a mere assertion about what the mind reduces to at the very lowest level; this offers a decent account of the descending stages of reduction.
Teleological functionalism helps us to understand psycho-biological laws [Lycan]
     Full Idea: Teleological functionalism helps us to understand the nature of biological and psychological laws, particularly in the face of Davidsonian scepticism about the latter.
     From: William Lycan (Consciousness [1987], 4.4)
     A reaction: Personally I doubt the existence of psycho-physical laws, but only because of the vast complexity. They would be like the laws of weather. 'Psycho-physical' laws seem to presuppose some sort of dualism.
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
A Martian may exhibit human-like behaviour while having very different sensations [Lycan]
     Full Idea: Quite possibly a Martian's humanoid behaviour is prompted by his having sensations somewhat unlike ours, despite his superficial behavioural similarities to us.
     From: William Lycan (Consciousness [1987], 5.4)
     A reaction: I think this firmly refutes the multiple realisability objection to type-type physicalism. Mental events are individuated by their phenomenal features (known only to the user), and by their causal role (publicly available). These are separate.
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
Interpretation is performance for some arts, and critical for all arts [Wollheim]
     Full Idea: Performative interpretation occurs only with certain arts, but critical intepretation pertains to all.
     From: Richard Wollheim (Art and Its Objects [1968], 38)
     A reaction: Fairly obvious, but this is the first point to make about the concept of 'interpretation'. Does the word in fact have two meanings? Or do I perform a painting when I look carefully at it?
A love of nature must precede a love of art [Wollheim]
     Full Idea: We could not have a feeling for the beauties of art unless we had been correspondingly moved in front of nature.
     From: Richard Wollheim (Art and Its Objects [1968], 43)
     A reaction: Wollheim offers this in defence of Kant's view, without necessarily agreeing. Similarly one could hardly care for fictional characters, but not for real people. So the aesthetic attitude may arise from life, rather than from art. Is art hence unimportant?
21. Aesthetics / B. Nature of Art / 1. Defining Art
A criterion of identity for works of art would be easier than a definition [Wollheim]
     Full Idea: Maybe, rather than defining art, it would be more fruitful, and more realistic, to seek a general method of identifying works of art.
     From: Richard Wollheim (Art and Its Objects [1968], 60)
     A reaction: The whole enterprise is ruined by Marcel Duchamp! I'm more interested in identifying or defining good art.
21. Aesthetics / B. Nature of Art / 2. Art as Form
If beauty needs organisation, then totally simple things can't be beautiful [Wollheim]
     Full Idea: It is said that beauty cannot consist in organisation because, if it did, we would not be able to predicate beauty of totally simple objects.
     From: Richard Wollheim (Art and Its Objects [1968], 59)
     A reaction: [He says this idea originates in Plotinus] I'm struggling to think of an example of something which is 'totally' simple and beautiful. Maybe a patch of colour like the breast of a bullfinch?
21. Aesthetics / B. Nature of Art / 4. Art as Expression
Some say art must have verbalisable expression, and others say the opposite! [Wollheim]
     Full Idea: The view that a work of art expresses nothing if it can't be put into other words ...is reduced by the view that a work of art has no value if what it expresses or says can be put into (other) words.
     From: Richard Wollheim (Art and Its Objects [1968], 49)
     A reaction: I prefer the second view. Poetry is what is lost in translation. Good art actually seems to evoke emotions which one virtually never feels in ordinary life. But how could that be possible? What are those emotions doing there?
It is claimed that the expressive properties of artworks are non-physical [Wollheim]
     Full Idea: The argument that works of art have properties that physical objects could not have characteristically concentrates on the expressive properties of works of art.
     From: Richard Wollheim (Art and Its Objects [1968], 10)
     A reaction: Since the idea of an object having non-physical properties strikes me as ridiculous, this gets off to a bad start. If artworks are abstract objects, then all of their properties are non-physical.
21. Aesthetics / B. Nature of Art / 6. Art as Institution
Style can't be seen directly within a work, but appreciation needs a grasp of style [Wollheim]
     Full Idea: 'Style' would seem to be a concept that cannot be applied to a work solely on the basis of what is represented and yet it is also essential to a proper understanding or appreciation of a work.
     From: Richard Wollheim (Art and Its Objects [1968], 32)
     A reaction: Sounds right. One long held musical note creates an expectation which depends on the presumed style of the piece of music. A single bar from a piece may well not exhibit its characteristic style.
The traditional view is that knowledge of its genre to essential to appreciating literature [Wollheim]
     Full Idea: From Aristotle onwards it has been a tenet of the traditional rhetoric that the proper understanding of a literary work involves the location of it in the correct genre, that is, as drama, epic or lyric.
     From: Richard Wollheim (Art and Its Objects [1968], 32)
     A reaction: Walton argues this persuasively. I've seen the climax of a Jacobean tragedy ruined by laughter from the audience. Genre dictates appropriate responses, so it is a communal concept.
21. Aesthetics / B. Nature of Art / 7. Ontology of Art
If artworks are not physical objects, they are either ideal entities, or collections of phenomena [Wollheim]
     Full Idea: In denying that works of art are physical objects, one theory (the 'ideal') withdraws them altogether from experience, and a second theory ('phenomenal') pins them too it inescapably and at all points.
     From: Richard Wollheim (Art and Its Objects [1968], 21)
     A reaction: I incline towards them being transient ideals, created by human minds. As with so much, we idealise and objectify them as 'works', and abstract their image from the instance(s) we encounter.
The ideal theory says art is an intuition, shaped by a particular process, and presented in public [Wollheim]
     Full Idea: The ideal theory of Croce and Collingwood says art is first an inner intuition or expression of the artist, resulting from a particular process of organisation and unification, which can be externalised in public form.
     From: Richard Wollheim (Art and Its Objects [1968], 22)
     A reaction: [compressed] As stated this doesn't sound very controversial or 'ideal'. I take it the theory is intended to be more platonist than this expression of it suggests. I think the idea that it is an 'expression' of the artist is wrong.
The ideal theory of art neglects both the audience and the medium employed [Wollheim]
     Full Idea: Because the ideal theory makes a work of art inner or mental, the link between the artist and the audience has been severed .....and it also totally ignores the significance of the medium.
     From: Richard Wollheim (Art and Its Objects [1968], 23)
     A reaction: Emily Dickinson had virtually no audience for her poetry. The medium used to perform Bach's 'Art of Fugue' seems unimportant. For paintings of painterly painters paint matters. For some visual art many different media will suffice.
A musical performance has virtually the same features as the piece of music [Wollheim]
     Full Idea: With the usual reservations, there is nothing that can be predicated of a performance of a piece of music that could not also be predicated of that piece of music itself.
     From: Richard Wollheim (Art and Its Objects [1968], 37)
     A reaction: He offers this as evidence that it fits the performance being a token, and music (and all other art) being a type. There are quite a few 'reservations'. Music too difficult to perform. Great music always badly performed.
21. Aesthetics / B. Nature of Art / 8. The Arts / a. Music
An interpretation adds further properties to the generic piece of music [Wollheim]
     Full Idea: Interpretation may be regarded as the production of a token that has properties in excess of those of the type.
     From: Richard Wollheim (Art and Its Objects [1968], 37)
     A reaction: I suppose so. If you play accurately everything that is written in the score, then anything else has to be an addition. If you play less than the score, you aren't quite playing that piece of music.
21. Aesthetics / C. Artistic Issues / 3. Artistic Representation
A drawing only represents Napoleon if the artist intended it to [Wollheim]
     Full Idea: It is necessary, if a drawing is to represent Napoleon, that the draughtsman should intend it to be Napoleon.
     From: Richard Wollheim (Art and Its Objects [1968], 13)
     A reaction: Does a perfect and intended representation of a person also count as a representation of the person's identical twin? The families of both might well order copies.
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / b. Limited purposes
We need a notion of teleology that comes in degrees [Lycan]
     Full Idea: We need a notion of teleology that comes in degrees.
     From: William Lycan (Consciousness [1987], 4.4)
     A reaction: Anyone who says that key concepts, such as those concerning the mind, should come 'in degrees' wins my instant support. A whole car engine requires a very teleological explanation, the spark in the sparkplug far less so.
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
'Physical' means either figuring in physics descriptions, or just located in space-time [Lycan]
     Full Idea: An object is specifically physical if it figures in explanations and descriptions of features of ordinary non-living matter, as in current physics; it is more generally physical if it is simply located in space-time.
     From: William Lycan (Consciousness [1987], 8.5)
     A reaction: This gives a useful distinction when trying to formulate a 'physicalist' account of the mind, where type-type physicalism says only the 'postulates of physics' can be used, whereas 'naturalism' about the mind uses the more general concept.