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All the ideas for 'fragments/reports', 'The Big Book of Concepts' and 'Vagueness and Contradiction'

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45 ideas

1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
The paradox of analysis says that any conceptual analysis must be either trivial or false [Sorensen]
     Full Idea: The paradox of analysis says if a conceptual analysis states exactly what the original statement says, then the analysis is trivial; if it says something different from the original, then the analysis is mistaken. All analyses are trivial or false.
     From: Roy Sorensen (Vagueness and Contradiction [2001], 8.5)
     A reaction: [source is G.E. Moore] Good analyses typically give explanations, or necessary and sufficient conditions, or inferential relations. At their most trivial they at least produce a more profound dictionary than your usual lexicographer. Not guilty.
2. Reason / B. Laws of Thought / 1. Laws of Thought
Two long understandable sentences can have an unintelligible conjunction [Sorensen]
     Full Idea: If there is an upper bound on the length of understandable sentences, then two understandable sentences can have an unintelligible conjunction.
     From: Roy Sorensen (Vagueness and Contradiction [2001], 6.4)
     A reaction: Not a huge paradox about the use of the word 'and', perhaps, but a nice little warning to be clear about what is being claimed before you cheerfully assert a screamingly obvious law of thought, such as conjunction.
3. Truth / B. Truthmakers / 6. Making Negative Truths
If nothing exists, no truthmakers could make 'Nothing exists' true [Sorensen]
     Full Idea: If nothing exists, then there are no truthmakers that could make 'Nothing exists' true.
     From: Roy Sorensen (Vagueness and Contradiction [2001], 11.2)
     A reaction: [He cites David Lewis] We may be confusing truth with facts. I take facts to be independent of minds, but truth only makes sense as a concept in the presence of minds which are endeavouring to think well.
3. Truth / B. Truthmakers / 12. Rejecting Truthmakers
Which toothbrush is the truthmaker for 'buy one, get one free'? [Sorensen]
     Full Idea: If I buy two toothbrushes on a 'buy one, get one free' offer, which one did I buy and which one did I get free? Those who believe that each contingent truth has a truthmaker are forced to believe that 'buy one, get one free' is false.
     From: Roy Sorensen (Vagueness and Contradiction [2001], 11.6)
     A reaction: Nice. There really is no fact of which toothbrush is the free one. The underlying proposition must presumably be 'two for the price of one'. But you could hardly fault the first slogan under the Trades Descriptions Act.
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
No attempt to deny bivalence has ever been accepted [Sorensen]
     Full Idea: The history of deviant logics is without a single success. Bivalence has been denied at least since Aristotle, yet no anti-bivalent theory has ever left the philosophical nursery.
     From: Roy Sorensen (Vagueness and Contradiction [2001], Intro)
     A reaction: This is part of a claim that nothing in reality is vague - it is just our ignorance of the truth or falsity of some propositions. Personally I don't see why 'Grandad is bald' has to have a determinate truth value.
5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
We now see that generalizations use variables rather than abstract entities [Sorensen]
     Full Idea: As philosophers gradually freed themselves from the assumption that all words are names, ..they realised that generalizations really use variables rather than names of abstract entities.
     From: Roy Sorensen (Vagueness and Contradiction [2001], 8.4)
     A reaction: This looks like a key thought in trying to understand abstraction - though I don't think you can shake it off that easily. (For all x)(x-is-a-bird then x-has-wings) seems to require a generalised concept of a bird to give a value to the variable.
5. Theory of Logic / L. Paradox / 3. Antinomies
Denying problems, or being romantically defeated by them, won't make them go away [Sorensen]
     Full Idea: An unsolvable problem is still a problem, despite Wittgenstein's view that there are no genuine philosophical problems, and Kant's romantic defeatism in his treatment of the antinomies of pure reason.
     From: Roy Sorensen (Vagueness and Contradiction [2001], 4.3)
     A reaction: I like the spin put on Kant, that he is a romantic in his defeatism. He certainly seems reluctant to slash at the Gordian knot, e.g. by being a bit more drastically sceptical about free will.
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
Banning self-reference would outlaw 'This very sentence is in English' [Sorensen]
     Full Idea: The old objection to the ban on self-reference is that it is too broad; it bans innocent sentences such as 'This very sentence is in English'.
     From: Roy Sorensen (Vagueness and Contradiction [2001], 11.1)
     A reaction: Tricky. What is the sigificant difference between 'this sentence is in English' and 'this sentence is a lie'? The first concerns context and is partly metalinguistic. The second concerns semantics and truth. Concept and content..
7. Existence / D. Theories of Reality / 10. Vagueness / c. Vagueness as ignorance
Vague words have hidden boundaries [Sorensen]
     Full Idea: Vague words have hidden boundaries. The subtraction of a single grain of sand might turn a heap into a non-heap.
     From: Roy Sorensen (Vagueness and Contradiction [2001], Intro)
     A reaction: The first sentence could be the slogan for the epistemic view of vagueness. The opposite view is Sainsbury's - that vague words are those which do not have any boundaries. Sorensen admits his view is highly counterintuitive. I think I prefer Sainsbury.
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
An offer of 'free coffee or juice' could slowly shift from exclusive 'or' to inclusive 'or' [Sorensen]
     Full Idea: Sometimes an exclusive 'or' gradually develops into an inclusive 'or'. A restaurant offers 'free coffee or juice'. The customers ask for both, and gradually they are given it, first as a courtesy, and eventually as an expectation.
     From: Roy Sorensen (Vagueness and Contradiction [2001], 7.2)
     A reaction: [compressed] A very nice example - of the rot of vagueness even seeping into the basic logical connectives. We don't have to accept it, though. Each instance of usage of 'or', by manager or customer, might be clearly one or the other.
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
It is propositional attitudes which can be a priori, not the propositions themselves [Sorensen]
     Full Idea: The primary bearer of apriority is the propositional attitude (believing, knowing, guessing and so on) rather than the proposition itself. A proposition could be a priori to homo sapiens but a posteriori to Neandethals.
     From: Roy Sorensen (Vagueness and Contradiction [2001], 6.3)
     A reaction: A putative supreme being is quite useful here, who might even see the necessity of Arsenal beating Manchester United next Saturday. Unlike infants, adults know a priori that square pegs won't fit round holes.
Attributing apriority to a proposition is attributing a cognitive ability to someone [Sorensen]
     Full Idea: Every attribution of apriority to a proposition is tacitly an attribution of a cognitive ability to some thinker.
     From: Roy Sorensen (Vagueness and Contradiction [2001], 6.3)
     A reaction: The ability would include a range of background knowledge, as well as a sheer power of intellect. If you know all of Euclid's theorems, you will spot facts about geometrical figues quicker than me. His point is important.
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
The colour bands of the spectrum arise from our biology; they do not exist in the physics [Sorensen]
     Full Idea: The bands of colour in a colour spectrum do not correspond to objective discontinuities in light wavelengths. These apparently external bands arise from our biology rather than simple physics.
     From: Roy Sorensen (Vagueness and Contradiction [2001], Intro)
     A reaction: If any more arguments are needed to endorse the fact that some qualities are clearly secondary (and, to my amazement, such arguments seem to be very much needed), I would take this to be one of the final conclusive pieces of evidence.
12. Knowledge Sources / B. Perception / 5. Interpretation
Research shows perceptual discrimination is sharper at category boundaries [Murphy]
     Full Idea: Goldstone's research has shown how learning concepts can change perceptual units. For example, perceptual discrimination is heightened along category boundaries.
     From: Gregory L. Murphy (The Big Book of Concepts [2004], Ch.13)
     A reaction: [Goldstone 1994, 2000] This is just the sort of research which throws a spanner into the simplistic a priori thinking of many philosophers.
We are unable to perceive a nose (on the back of a mask) as concave [Sorensen]
     Full Idea: The human perceptual system appears unable to represent a nose as concave rather than convex. If you look at the concave side of a mask, you see the features as convex.
     From: Roy Sorensen (Vagueness and Contradiction [2001], 4.3)
     A reaction: I don't think that is quite true. You wouldn't put a mask on if you thought it was convex. It is usually when seen at a distance with strong cross-lighting that the effect emerges. Nevertheless, it is an important point.
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
Bayesians build near-certainty from lots of reasonably probable beliefs [Sorensen]
     Full Idea: Bayesians demonstrate that a self-correcting agent can build an imposing edifice of near-certain knowledge from numerous beliefs that are only slightly more probable than not.
     From: Roy Sorensen (Vagueness and Contradiction [2001], 6.1)
     A reaction: This strikes me as highly significant for the coherence account of justification, even if one is sceptical about the arithmetical approach to belief of Bayesianism. It seems obvious that lots of quite likely facts build towards certainty, Watson.
13. Knowledge Criteria / D. Scepticism / 3. Illusion Scepticism
Illusions are not a reason for skepticism, but a source of interesting scientific information [Sorensen]
     Full Idea: Philosophers tend to associate illusions with skepticism. But since illusions are signs of modular construction, they are actually reason for scientific hope. Illusions have been very useful in helping us to understand vision.
     From: Roy Sorensen (Vagueness and Contradiction [2001], 1.4)
     A reaction: This is a nice reversal of the usual view. If I see double, it reveals to me that my eyes are not aligned properly. Anyone led to scepticism by illusions should pay more attention to themselves, and less to the reality they hope to know directly.
14. Science / C. Induction / 1. Induction
Induction is said to just compare properties of categories, but the type of property also matters [Murphy]
     Full Idea: Most theories of induction claim that it should depend primarily on the similarity of the categories involved, but then the type of property should not matter, yet research shows that it does.
     From: Gregory L. Murphy (The Big Book of Concepts [2004], Ch. 6)
     A reaction: I take this to be good empirical support for Gilbert Harman's view that induction is really inference to the best explanation. The thought (which strikes me as obviously correct) is that we bring nested domains of knowledge to bear in induction.
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
The main theories of concepts are exemplar, prototype and knowledge [Murphy]
     Full Idea: The three main theories of concepts under consideration are the exemplar, the prototype and the knowledge approaches.
     From: Gregory L. Murphy (The Big Book of Concepts [2004], Ch.13)
18. Thought / D. Concepts / 4. Structure of Concepts / c. Classical concepts
The theoretical and practical definitions for the classical view are very hard to find [Murphy]
     Full Idea: It has been extremely difficult to find definitions for most natural categories, and even harder to find definitions that are plausible psychological representations that people of all ages would be likely to use.
     From: Gregory L. Murphy (The Big Book of Concepts [2004], Ch. 2)
The classical definitional approach cannot distinguish typical and atypical category members [Murphy]
     Full Idea: The early psychological approaches to concepts took a definitional approach. ...but this view does not have any way of distinguishing typical and atypical category members (...as when a trout is a typical fish and an eel an atypical one).
     From: Gregory L. Murphy (The Big Book of Concepts [2004], Ch. 2)
     A reaction: [pp. 12 and 22] Eleanor Rosch in the 1970s is said to have largely killed off the classical view.
Classical concepts follow classical logic, but concepts in real life don't work that way [Murphy]
     Full Idea: The classical view of concepts has been tied to traditional logic. 'Fido is a dog and a pet' is true if it has the necessary and sufficient conditions for both, ...but there is empirical evidence that people do not follow that rule.
     From: Gregory L. Murphy (The Big Book of Concepts [2004], Ch. 2)
     A reaction: Examples given are classifying chess as a sport and/or game, and classifying a tree house (which is agreed to be both a building and not a building!).
Classical concepts are transitive hierarchies, but actual categories may be intransitive [Murphy]
     Full Idea: The classical view of concepts explains hierarchical order, where categories form nested sets. But research shows that categories are often not transitive. Research shows that a seat is furniture, and a car seat is a seat, but it is not furniture.
     From: Gregory L. Murphy (The Big Book of Concepts [2004], Ch. 2)
     A reaction: [compressed] Murphy adds that the nesting of definitions is classically used to match the nesting of hierarchies. This is a nice example of the neatness of the analytic philosopher breaking down when it meets the mess of the world.
The classical core is meant to be the real concept, but actually seems unimportant [Murphy]
     Full Idea: A problem with the revised classical view is that the concept core does not seem to be an important part of the concept, despite its name and theoretical intention as representing the 'real' concept.
     From: Gregory L. Murphy (The Big Book of Concepts [2004], Ch. 2)
     A reaction: Apparently most researchers feel they can explain their results without reference to any core. Not so fast, I would say (being an essentialist). Maybe people acknowledge an implicit core without knowing what it is. See Susan Gelman.
18. Thought / D. Concepts / 4. Structure of Concepts / d. Concepts as prototypes
There is no 'ideal' bird or dog, and prototypes give no information about variability [Murphy]
     Full Idea: Is there really an 'ideal bird' that could represent all birds? ...Furthermore a single prototype would give no information about the variability of a category. ...Compare the incredible variety of dogs to the much smaller diversity of cats.
     From: Gregory L. Murphy (The Big Book of Concepts [2004], Ch. 3)
     A reaction: The point about variability is particularly noteworthy. You only grasp the concept of 'furniture' when you understand its range, as well as its typical examples. What structure is needed in a concept to achieve this?
Prototypes are unified representations of the entire category (rather than of members) [Murphy]
     Full Idea: In the prototype view the entire category is represented by a unified representation rather than separate representations for each member, or for different classes of members.
     From: Gregory L. Murphy (The Big Book of Concepts [2004], Ch. 3)
     A reaction: This is the improved prototype view, as opposed to the implausible idea that there is one ideal exemplar. The new theory still have the problem of how to represent diversity within the category, while somehow remaining 'unified'.
The prototype theory uses observed features, but can't include their construction [Murphy]
     Full Idea: Nothing in the prototype model says the shape of an animal is more important than its location in identifying its kind. The theory does not provide a way the features can be constructed, rather than just observed.
     From: Gregory L. Murphy (The Big Book of Concepts [2004], Ch. 6)
     A reaction: This makes some kind of mental modelling central to thought, and not just a bonus once you have empirically acquired the concepts. We bring our full range of experience to bear on even the most instantaneous observations.
The prototype theory handles hierarchical categories and combinations of concepts well [Murphy]
     Full Idea: The prototype view has no trouble with either hierarchical structure or explaining categories. ...Meaning and conceptual combination provide strong evidence for prototypes.
     From: Gregory L. Murphy (The Big Book of Concepts [2004], Ch.13)
     A reaction: Prototypes are not vague, making clearer classification possible. A 'mountain lion' is clear, because its components are clear.
Prototypes theory of concepts is best, as a full description with weighted typical features [Murphy]
     Full Idea: Our theory of concepts must be primarily prototype-based. That is, it must be a description of an entire concept, with its typical features (presumably weighted by their importance).
     From: Gregory L. Murphy (The Big Book of Concepts [2004], Ch.13)
     A reaction: This is to be distinguished from the discredited 'classical' view of concepts, that the concept consists of its definition. I take Aristotle's account of definition to be closer to a prototype description than to a dictionary definition.
Learning concepts is forming prototypes with a knowledge structure [Murphy]
     Full Idea: My proposal is that people attempt to form prototypes as part of a larger knowledge structure when they learn concepts.
     From: Gregory L. Murphy (The Big Book of Concepts [2004], Ch.13)
     A reaction: This combines theory theory (knowledge) with the prototype view, and sounds rather persuasive. The formation of prototypes fits with the explanatory account of essentialism I am defending. He later calls prototype formation 'abstraction' (494).
18. Thought / D. Concepts / 4. Structure of Concepts / e. Concepts from exemplars
The most popular theories of concepts are based on prototypes or exemplars [Murphy]
     Full Idea: The most popular theories of concepts are based on prototype or exemplar theories that are strongly unclassical.
     From: Gregory L. Murphy (The Big Book of Concepts [2004], Ch. 2)
The exemplar view of concepts says 'dogs' is the set of dogs I remember [Murphy]
     Full Idea: In the exemplar view of concepts, the idea that people have a representation that somehow encompasses an entire concept is rejected. ...Instead a person's concept of dogs is the set of dogs that the person remembers.
     From: Gregory L. Murphy (The Big Book of Concepts [2004], Ch. 3)
     A reaction: [The theory was introduced by Medin and Schaffer 1978] I think I have finally met a plausible theory of concepts. When I think 'dog' I conjure up a fuzz of dogs that exhibit the range I have encountered (e.g. tiny to very big). Individuals come first!
Exemplar theory struggles with hierarchical classification and with induction [Murphy]
     Full Idea: The exemplar view has trouble with hierarchical classification and with induction in adults.
     From: Gregory L. Murphy (The Big Book of Concepts [2004], Ch.13)
     A reaction: To me these both strongly support essentialism - that you form the concept 'dog' from seeing some dogs, but you then extrapolate to large categories and general truths about dogs, on the assumption of the natures of the dogs you have seen.
Children using knowing and essentialist categories doesn't fit the exemplar view [Murphy]
     Full Idea: The findings showing that children use knowledge and may be essentialist about category membership do not comport well with the exemplar view.
     From: Gregory L. Murphy (The Big Book of Concepts [2004], Ch.13)
     A reaction: Tricky, because Gelman persuaded me of the essentialism, but the exemplar view of concepts looks the most promising. Clearly they must be forced to coexist....
Conceptual combination must be compositional, and can't be built up from exemplars [Murphy]
     Full Idea: The exemplar accounts of conceptual combination are demonstrably wrong, because the meaning of a phrase has to be composed from the meaning of its parts (plus broader knowledge), and it cannot be composed as a function of exemplars.
     From: Gregory L. Murphy (The Big Book of Concepts [2004], Ch.13)
     A reaction: This sounds quite persuasive, and I begin to see that my favoured essentialism fits the prototype view of concepts best, though this mustn't be interpreted too crudely. We change our prototypes with experience. 'Bird' is a tricky case.
The concept of birds from exemplars must also be used in inductions about birds [Murphy]
     Full Idea: We don't have one concept of birds formed by learning from exemplars, and another concept of birds that is used in induction.
     From: Gregory L. Murphy (The Big Book of Concepts [2004], Ch.13)
     A reaction: In other words exemplar concepts break down when we generalise using the concept. The exemplars must be unified, to be usable in thought and language.
18. Thought / D. Concepts / 4. Structure of Concepts / f. Theory theory of concepts
We do not learn concepts in isolation, but as an integrated part of broader knowledge [Murphy]
     Full Idea: The knowledge approach argues that concepts are part of our general knowledge about the world. We do not learn concepts in isolation, ...but as part of our overall understanding of the world. Animal concepts are integrated with biology, behaviour etc.
     From: Gregory L. Murphy (The Big Book of Concepts [2004], Ch. 3)
     A reaction: This is one of the leading theories of concepts among psychologists. It seems to be an aspect of the true theory, but it needs underpinning with some account of isolated individual concepts. This is also known as the 'theory theory'.
Concepts with familiar contents are easier to learn [Murphy]
     Full Idea: A concept's content influences how easy it is to learn. If the concept is grossly incompatible with what people know prior to the experiment, it will be difficult to acquire.
     From: Gregory L. Murphy (The Big Book of Concepts [2004], Ch. 6)
     A reaction: This is a preliminary fact which leads towards the 'knowledge' theory of concepts (aka 'theory theory'). The point being that the knowledge involved is integral to the concept. Fits my preferred mental files approach.
Some knowledge is involved in instant use of categories, other knowledge in explanations [Murphy]
     Full Idea: Some kinds of knowledge are probably directly incorporated into the category representation and used in normal, fast decisions about objects. Other kinds of knowledge, however, may come into play only when it has been solicited.
     From: Gregory L. Murphy (The Big Book of Concepts [2004], Ch. 6)
     A reaction: This is a summary of empirical research, but seems to fit our normal experience. If you see a hawk, you have some instant understanding, but if you ask what the hawk is doing here, you draw more widely.
People categorise things consistent with their knowledge, even rejecting some good evidence [Murphy]
     Full Idea: People tend to positively categorise items that are consistent with their knowledge and to exclude items that are inconsistent, sometimes even overruling purely empirical sources of information.
     From: Gregory L. Murphy (The Big Book of Concepts [2004], Ch. 6)
     A reaction: The main rival to 'theory theory' is the purely empirical account of how concepts are acquired. This idea reports empirical research in favour of the theory theory (or 'knowledge') approach.
19. Language / A. Nature of Meaning / 5. Meaning as Verification
The negation of a meaningful sentence must itself be meaningful [Sorensen]
     Full Idea: The negation of any meaningful sentence must itself be meaningful.
     From: Roy Sorensen (Vagueness and Contradiction [2001], 8.1)
     A reaction: Nice. Compare 'there is another prime number beyond the highest one we have found' with its negation. The first seems verifiable in principle, but the second one doesn't. So the verificationist must deny Sorensen's idea?
19. Language / D. Propositions / 4. Mental Propositions
Propositions are what settle problems of ambiguity in sentences [Sorensen]
     Full Idea: Propositions play the role of dis-ambiguators; they are the things between which utterances are ambiguous.
     From: Roy Sorensen (Vagueness and Contradiction [2001], 7.7)
     A reaction: I have become a great fan of propositions, and I think this is one of the key reasons for believing in them. The proposition is what we attempt to pin down when asked 'what exactly did you mean by what you just said?'
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
     Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice.
     From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where?
25. Social Practice / A. Freedoms / 4. Free market
I can buy any litre of water, but not every litre of water [Sorensen]
     Full Idea: I am entitled to buy any litre of water, but I am not entitled to buy every litre of water.
     From: Roy Sorensen (Vagueness and Contradiction [2001], 6.3)
     A reaction: A decent social system must somehow draw a line between buying up all the water and buying up all the paintings of Vermeer. Even the latter seems wicked, but it is hard to pin down the reason.
28. God / A. Divine Nature / 4. Divine Contradictions
God cannot experience unwanted pain, so God cannot understand human beings [Sorensen]
     Full Idea: Theologians worry that God may be an alien being. God cannot feel pain since pain is endured against one's will. God is all powerful and suffers nothing against His Will. To understand pain, one must experience pain. So God's power walls him off from us.
     From: Roy Sorensen (Vagueness and Contradiction [2001], 3.2)
     A reaction: I can't think of a good theological reply to this. God, and Jesus too (presumably), can only experience pain if they volunteer for it. It is inconceivable that they could be desperate for it to stop, but were unable to achieve that.