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All the ideas for 'On the Question of Absolute Undecidability', 'The Disorder of Things' and 'Concepts'

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46 ideas

1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
Naturalistic philosophers oppose analysis, preferring explanation to a priori intuition [Margolis/Laurence]
     Full Idea: Philosophers who oppose conceptual analysis identify their approach as being 'naturalistic'. Philosophy is supposed to be continuous with science, and philosophical theories are to be defended on explanatory grounds, not by a priori intuitions.
     From: E Margolis/S Laurence (Concepts [2009], 5.2)
     A reaction: [They cite Papineau 1993, Devitt 1996 aand Kornblith 2002] I think there is a happy compromise here. I agree that any philosophical knowledge should be continuous with science, but we shouldn't prejudge how the analytic branch of science is done.
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
     Full Idea: There are many coherent stopping points in the hierarchy of increasingly strong mathematical systems, starting with strict finitism, and moving up through predicativism to the higher reaches of set theory.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], Intro)
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
     Full Idea: Roughly speaking, 'reflection principles' assert that anything true in V [the set hierarchy] falls short of characterising V in that it is true within some earlier level.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 2.1)
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
     Full Idea: There is at present no solid argument to the effect that a given statement is absolutely undecidable.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 5.3)
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
     Full Idea: Some of the standard large cardinals (in order of increasing (logical) strength) are: inaccessible, Mahlo, weakly compact, indescribable, Erdös, measurable, strong, Wodin, supercompact, huge etc. (...and ineffable).
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.4)
     A reaction: [I don't understand how cardinals can have 'logical strength', but I pass it on anyway]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
     Full Idea: To the extent that we are justified in accepting Peano Arithmetic we are justified in accepting its consistency, and so we know how to expand the axiom system so as to overcome the limitation [of Gödel's Second Theorem].
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.1)
     A reaction: Each expansion brings a limitation, but then you can expand again.
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Arithmetical undecidability is always settled at the next stage up [Koellner]
     Full Idea: The arithmetical instances of undecidability that arise at one stage of the hierarchy are settled at the next.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.4)
7. Existence / E. Categories / 1. Categories
All descriptive language is classificatory [Dupré]
     Full Idea: Classification pervades any descriptive use of language whatever.
     From: John Dupré (The Disorder of Things [1993], 1)
     A reaction: This is because, as Aristotle well knew, language consists almost entirely of universals (apart from the proper names). Language just is classification.
7. Existence / E. Categories / 2. Categorisation
We should aim for a classification which tells us as much as possible about the object [Dupré]
     Full Idea: The most important desideratum of a classificatory scheme is that assigning an object to a particular classification tell us as much as possible about that object.
     From: John Dupré (The Disorder of Things [1993], Ch 1)
     A reaction: We should probably say that the aim is a successful explanation, rather than a heap of information. If we are totally baffled by a particular type of object, it is presumably important to group the instances together, to focus the bafflement.
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
Natural kinds don't need essentialism to be explanatory [Dupré]
     Full Idea: The importance of natural kinds for explanation does not depend on a doctrine of essences.
     From: John Dupré (The Disorder of Things [1993], 3)
     A reaction: He suggest as the alternative that laws do the explaining, employing natural kinds. He allows that individual essences might be explanatory.
9. Objects / D. Essence of Objects / 10. Essence as Species
A species might have its essential genetic mechanism replaced by a new one [Dupré]
     Full Idea: Contradicting one of the main points of essentialism, there is no reason in principle why a species should not survive the demise of its current genetic mechanisms (some other species coherence gradually taking over).
     From: John Dupré (The Disorder of Things [1993], 2)
     A reaction: I would say that this meant that the species had a new essence, because I don't take what is essential to be the same as what is necessary. The new genetics would replace the old as the basic explanation of the species.
It seems that species lack essential properties, so they can't be natural kinds [Dupré]
     Full Idea: It is widely agreed among biologists that no essential property can be found to demarcate species, so that if an essential property is necessary for a natural kind, species are not natural kinds.
     From: John Dupré (The Disorder of Things [1993], 2)
     A reaction: This uses 'essential' to mean 'necessary', but I would use 'essential' to mean 'deeply explanatory'. Biological species are, nevertheless, dubious members of an ontological system. Vegetables are the problem.
12. Knowledge Sources / D. Empiricism / 2. Associationism
Modern empiricism tends to emphasise psychological connections, not semantic relations [Margolis/Laurence]
     Full Idea: A growing number of philosophers are attracted to modified forms of empiricism, emphasizing psychological relations between the conceptual system and perceptual and motor states, not semantic relations.
     From: E Margolis/S Laurence (Concepts [2009], 3.2)
     A reaction: I suddenly spot that this is what I have been drifting towards for some time! The focus is concept formation, where the philosophers need to join forces with the cognitive scientists.
14. Science / A. Basis of Science / 4. Prediction
The possibility of prediction rests on determinism [Dupré]
     Full Idea: Determinism is the metaphysical underlay of the possibility of prediction.
     From: John Dupré (The Disorder of Things [1993], Intro)
     A reaction: Not convinced. There might be micro-indeterminacies which iron out into macro-regularities.
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
Body-type seems to affect a mind's cognition and conceptual scheme [Margolis/Laurence]
     Full Idea: It is claimed, on the basis of empirical research, that the type of body that an organism has profoundly affects it cognitive operations and the way it conceptualises the world. We can't assume that human minds could inhere in wildly different body types.
     From: E Margolis/S Laurence (Concepts [2009], 3.2)
     A reaction: Sounds interesting. They cite Lawrence Shapiro 2004. It needs a large effort of imagination to think how a snake or whale or albatross might conceptualise the world, in relation to their bodies.
18. Thought / B. Mechanics of Thought / 4. Language of Thought
Language of thought has subject/predicate form and includes logical devices [Margolis/Laurence]
     Full Idea: The language of thought is taken to have subject/predicate form and include logical devices, such as quantifiers and variables.
     From: E Margolis/S Laurence (Concepts [2009], 1.1)
18. Thought / C. Content / 5. Twin Earth
Presumably molecular structure seems important because we never have the Twin Earth experience [Dupré]
     Full Idea: It is surely the absence of experiences like the one Putnam describes that makes it reasonable to attach to molecular structure at least most of the importance that Putnam ascribes to it.
     From: John Dupré (The Disorder of Things [1993], 1)
     A reaction: That is, whenever we experience water-like stuff, it always turns out to have the same molecular structure. Twin Earth is a nice thought experiment, except that XZY is virtually inconceivable.
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
Concepts are either representations, or abilities, or Fregean senses [Margolis/Laurence]
     Full Idea: The three main options for the ontological status of concepts are to identify them with mental representations, or with abilities, or with Fregean senses.
     From: E Margolis/S Laurence (Concepts [2009], 1)
18. Thought / D. Concepts / 3. Ontology of Concepts / a. Concepts as representations
A computer may have propositional attitudes without representations [Margolis/Laurence]
     Full Idea: It may be possible to have propositional attitudes without having the mental representations tokened in one's head. ...We may say a chess-playing computer thinks it should develop its queen early, though we know it has no representation with that content.
     From: E Margolis/S Laurence (Concepts [2009], 1.1)
     A reaction: [Thye cite Dennett - who talks of the 'intentional stance'] It is, of course, a moot point whether we would attribute a propositional attitude (such as belief) to a machine once we knew that it wasn't representing the relevant concepts.
Do mental representations just lead to a vicious regress of explanations [Margolis/Laurence]
     Full Idea: A standard criticism is that the mental representation view of concepts creates just another item whose significance bears explaining. Either we have a vicious regress, or we might as well explain external language directly.
     From: E Margolis/S Laurence (Concepts [2009], 1.2)
     A reaction: [They cite Dummett, with Wittgenstein in the background] I don't agree, because I think that explanation of concepts only stops when it dovetails into biology.
18. Thought / D. Concepts / 3. Ontology of Concepts / b. Concepts as abilities
Maybe the concept CAT is just the ability to discriminate and infer about cats [Margolis/Laurence]
     Full Idea: The view that concepts are abilities (e.g. found in Brandom, Dummett and Millikan) would say that the concept CAT amounts to the ability to discriminate cats from non-cats and to draw certain inferences about cats.
     From: E Margolis/S Laurence (Concepts [2009], 1.2)
     A reaction: Feels wrong. The concept is what makes these abilities possible, but it seems rather behaviourist to identify the concept with what is enabled by the concept. You might understand 'cat', but fail to recognise your first cat (though you might suspect it).
The abilities view cannot explain the productivity of thought, or mental processes [Margolis/Laurence]
     Full Idea: The abilities view of concepts, by its rejection of mental representation, is ill-equipped to explain the productivity of thought; and it can say little about mental processes.
     From: E Margolis/S Laurence (Concepts [2009], 1.2)
     A reaction: The latter point arises from its behaviouristic character, which just gives us a black box with some output of abilities. In avoiding a possible regress, it offers no explanation at all.
18. Thought / D. Concepts / 4. Structure of Concepts / a. Conceptual structure
Concept-structure explains typicality, categories, development, reference and composition [Margolis/Laurence]
     Full Idea: The structures of concepts are invoked to explain typicality effects, reflective categorization, cognitive development, reference determination, and compositionality.
     From: E Margolis/S Laurence (Concepts [2009], 2.5)
18. Thought / D. Concepts / 4. Structure of Concepts / c. Classical concepts
Classically, concepts give necessary and sufficient conditions for falling under them [Margolis/Laurence]
     Full Idea: The classical theory is that a concept has a definitional structure in that it is composed of simpler concepts that express necessary and sufficient conditions for falling under the concept, the stock example being unmarried and a man for 'bachelor'.
     From: E Margolis/S Laurence (Concepts [2009], 2.1)
     A reaction: This is the background idea to philosophy as analysis, and it makes concepts essentially referential, in that they are defined by their ability to pick things out. There must be some degree of truth in the theory.
Typicality challenges the classical view; we see better fruit-prototypes in apples than in plums [Margolis/Laurence]
     Full Idea: The classical view is challenged by the discovery that certain categories are taken to be more typical, with typicality widely correlating with other data. Apples are judged to be more typical of (and have more common features with) fruit than plums are.
     From: E Margolis/S Laurence (Concepts [2009], 2.1)
     A reaction: This discovery that people use prototypes in thinking has been the biggest idea to ever hit the philosophy of concepts, and simply cannot be ignored (as long as the research keeps reinforcing it, which I believe it does). The classical view might adapt.
The classical theory explains acquisition, categorization and reference [Margolis/Laurence]
     Full Idea: The appeal of the classical theory of concepts is that it offers unified treatments of concept acquisition (assembling constituents), categorization (check constituents against target), and reference determination (whether they apply).
     From: E Margolis/S Laurence (Concepts [2009], 2.1)
     A reaction: [See Idea 11128 for the theory] As so often, I find myself in sympathy with the traditional view which has been relegated to ignominy by our wonderful modern philosophers.
It may be that our concepts (such as 'knowledge') have no definitional structure [Margolis/Laurence]
     Full Idea: In the light of problems such as the definition of knowledge, many philosophers now take seriously the possibility that our concepts lack definitional structure.
     From: E Margolis/S Laurence (Concepts [2009], 2.1)
     A reaction: This challenges the classical view, that there are precise conditions for each concept. That view would obviously be in difficulties with atomic concepts, so our account of those might be applied all the way up.
18. Thought / D. Concepts / 4. Structure of Concepts / d. Concepts as prototypes
The prototype theory is probabilistic, picking something out if it has sufficient of the properties [Margolis/Laurence]
     Full Idea: In the prototype theory of concepts, a lexical concept has probabilistic structure in that something falls under it if it satisfies a sufficient number of properties encoded by the constituents. It originates in Wittgenstein's 'family resemblance'.
     From: E Margolis/S Laurence (Concepts [2009], 2.2)
     A reaction: It would seem unlikely to be a matter of the 'number' of properties, and would have to involve some notion of what was essential to the prototype.
Prototype theory categorises by computing the number of shared constituents [Margolis/Laurence]
     Full Idea: On the prototype theory, categorization is to be understood as a similarity comparison process, where similarity is computed as a function of the number of constituents that two concepts hold in common.
     From: E Margolis/S Laurence (Concepts [2009], 2.2)
     A reaction: Again it strikes me that 'computing' similarity by mere 'number' of shared constituents won't do, as there is a prior judgement about which constituents really matter, or are essential. That may even be hard-wired.
People don't just categorise by apparent similarities [Margolis/Laurence]
     Full Idea: When it comes to more reflexive judgements, people go beyond the outcome of a similarity comparison. Even children say that a dog surgically altered to look like a raccoon is still a dog.
     From: E Margolis/S Laurence (Concepts [2009], 2.2)
     A reaction: We can defend the theory by not underestimating people so much. Most categorisation is done on superficial grounds, but even children know there may be hidden similarities (behind the mask, under the bonnet) which are more important.
Complex concepts have emergent properties not in the ingredient prototypes [Margolis/Laurence]
     Full Idea: An objection to the prototype view concerns compositionality. A complex concept often has emergent properties, as when it seems that 'pet fish' encodes for brightly coloured, which has no basis in the prototypes for 'pet' or 'fish'.
     From: E Margolis/S Laurence (Concepts [2009], 2.2)
     A reaction: I would take 'pet fish' to work like a database query. 'Fish' has a very vague prototype, and then 'pet fish' narrows the search to fish which are appropriate to be pets. We might say that the prototype is refined, or the Mk 2 prototype appears.
Many complex concepts obviously have no prototype [Margolis/Laurence]
     Full Idea: Many patently complex concepts don't even have a prototype structure, such as 'Chairs that were purchased on a Wednesday'.
     From: E Margolis/S Laurence (Concepts [2009], 2.2)
     A reaction: [The example seems to be from Fodor] I disagree. If we accept the notion of 'refining' the prototype (see Idea 11135), then the compositionality of the expression will produce a genuine but very unusual prototype.
18. Thought / D. Concepts / 4. Structure of Concepts / f. Theory theory of concepts
The theory theory of concepts says they are parts of theories, defined by their roles [Margolis/Laurence]
     Full Idea: The theory theory of concepts says that terms are related as in a scientific theory, and that categorization resembles theorising. It is generally assumed that scientific terms are interdefined so that content is determined by its role in the theory.
     From: E Margolis/S Laurence (Concepts [2009], 2.3)
     A reaction: I never like this sort of account. What are the characteristics of the thing which enable it to fulfil its role? You haven't defined a car when you've said it gets you from A to B.
The theory theory is holistic, so how can people have identical concepts? [Margolis/Laurence]
     Full Idea: A problem with the theory theory of concepts is that it is holistic, saying a concept is determined by its role, not by its constituents. It then seems difficult for different people to possess the same concepts (or even the same person, over time).
     From: E Margolis/S Laurence (Concepts [2009], 2.3)
     A reaction: This seems a good objection to any holistic account of concepts or meaning - spotted by Plato in motivating his theory of Forms, to give the necessary stability to communication.
18. Thought / D. Concepts / 4. Structure of Concepts / g. Conceptual atomism
Maybe concepts have no structure, and determined by relations to the world, not to other concepts [Margolis/Laurence]
     Full Idea: According to conceptual atomism, lexical concepts have no semantic structure, and the content of a concept isn't determined by its relation to other concepts but by its relations to the world.
     From: E Margolis/S Laurence (Concepts [2009], 2.4)
     A reaction: [They cite Fodor 1998 and Millikan 2000] I like the sound of that, because I take the creation of concepts to be (in the first instance) a response to the world, not a response to other concepts.
18. Thought / D. Concepts / 5. Concepts and Language / c. Concepts without language
People can formulate new concepts which are only named later [Margolis/Laurence]
     Full Idea: People seem to be able to formulate novel concepts which are left to be named later; the concept comes first, the name second.
     From: E Margolis/S Laurence (Concepts [2009], 4.2)
     A reaction: [This seems to have empirical support, and he cites Pinker 1994] I do not find this remotely surprising, since I presume that human concepts are a continuous kind with animal concepts, including non-conscious concepts (why not?).
26. Natural Theory / B. Natural Kinds / 1. Natural Kinds
Phylogenetics involves history, and cladism rests species on splits in lineage [Dupré]
     Full Idea: The phylogenetic conception of classification reflects the facts of evolutionary history. Cladism insists that every taxonomic distinction should reflect an evolutionary event of lineage bifurcation.
     From: John Dupré (The Disorder of Things [1993], 1)
     A reaction: Devitt attacks cladism nicely. It rules out species change without bifurcation, and it insists on species change even in a line which remains unchanged after a split.
Kinds don't do anything (including evolve) because they are abstract [Dupré]
     Full Idea: A kind, being an abstract object, cannot do anything, including evolve.
     From: John Dupré (The Disorder of Things [1993], 2)
     A reaction: Maybe. We might have an extensional view of the kind, so that 'gold' is the set of extant gold atoms. But possible gold atoms are also gold, and defunct ones too. Virtually every word in English is abtract if you think about it long enough.
26. Natural Theory / B. Natural Kinds / 7. Critique of Kinds
Natural kinds are decided entirely by the intentions of our classification [Dupré]
     Full Idea: The question of which natural kind a thing belongs to ....can be answered only in relation to some specification of the goal underlying the intent to classify the object.
     From: John Dupré (The Disorder of Things [1993], Intro)
     A reaction: I don't think I believe this. The situation is complex, and our intents are relevant, but to find an intent which no longer classifies tigers into the same category is wilful silliness.
Borders between species are much less clear in vegetables than among animals [Dupré]
     Full Idea: The richest source of illustrations is the vegetable kingdom, where specific differences tend to be much less clear than among animals, and considerable developmental plasticity is the rule.
     From: John Dupré (The Disorder of Things [1993], 1)
     A reaction: Nice. Just as the idea that laws of nature are mathematical suits physics, but founders on biology, so natural kinds founder in an area of biology to which we pay less attention. He cites prickly pears and lilies. I'm thinking oranges, satsumas etc.
Even atoms of an element differ, in the energy levels of their electrons [Dupré]
     Full Idea: Even if we claim that it is really isotopes not atoms that are the natural kinds (thus divorcing chemistry from ordinary language), atoms are said to differ with respect to such features as energy levels of the electrons.
     From: John Dupré (The Disorder of Things [1993], 2)
     A reaction: So we can't just pick out the features of one atom, and say that is the essence. Essence always involves some selection. I say the essence arises from the explanation of the atom's behaviour.
Ecologists favour classifying by niche, even though that can clash with genealogy [Dupré]
     Full Idea: To the extent that the occupants of a particular niche do not coincide with the members of a particular genealogical line, a possibility widely acknowledged to occur, ecologists must favour a method of classification lacking genealogical grounding.
     From: John Dupré (The Disorder of Things [1993], 2)
     A reaction: Zoo keepers probably classify by cages, or which zoo owns what, but that doesn't mean that they reject genealogy. Don't assume ecologists are rejecting any underlying classification that differs from theirs. Compare classification by economists.
Cooks, unlike scientists, distinguish garlic from onions [Dupré]
     Full Idea: It would be a severe culinary misfortune if no distinction were drawn between garlic and onions, a distinction that is not reflected in scientific taxonomy.
     From: John Dupré (The Disorder of Things [1993], 1)
     A reaction: Not every persuasive. We distinguish some cows from others because they taste better, but no one thinks that is a serious way in which to classify cows.
Wales may count as fish [Dupré]
     Full Idea: The claim that whales are not fish is a debatable one
     From: John Dupré (The Disorder of Things [1993], 1)
     A reaction: A very nice challenge to an almost unquestioned orthodoxy.
27. Natural Reality / G. Biology / 5. Species
Species are the lowest-level classification in biology [Dupré]
     Full Idea: Species are, by definition, the lowest-level classificatory unit, or basal taxonomic unit, for biological organisms.
     From: John Dupré (The Disorder of Things [1993], 2)
     A reaction: I think this is the 'infima species' for Aristotelians. What about 'male' and 'female' in each species?
The theory of evolution is mainly about species [Dupré]
     Full Idea: Species are what the theory of evolution is centrally about.
     From: John Dupré (The Disorder of Things [1993], 2)