Combining Philosophers

All the ideas for Augustin-Louis Cauchy, Thomas S. Kuhn and Gregory L. Murphy

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35 ideas

3. Truth / H. Deflationary Truth / 2. Deflationary Truth
'Truth' may only apply within a theory [Kuhn]
     Full Idea: 'Truth' may, like 'proof', be a term with only intra-theoretic applications.
     From: Thomas S. Kuhn (Reflections on my Critics [1970], §5)
     A reaction: I think we can blame Tarski (via Quine, Kuhn's teacher) for this one. I take it to be an utter failure to grasp the meaning of the word 'truth' (and sneakily substituting 'satisfaction' for it). For a start, we have to compare theories on some basis.
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]
     Full Idea: When the successive absolute values of a variable decrease indefinitely in such a way as to become less than any given quantity, that variable becomes what is called an 'infinitesimal'. Such a variable has zero as its limit.
     From: Augustin-Louis Cauchy (Cours d'Analyse [1821], p.19), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 10.4
     A reaction: The creator of the important idea of the limit still talked in terms of infinitesimals. In the next generation the limit took over completely.
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
When successive variable values approach a fixed value, that is its 'limit' [Cauchy]
     Full Idea: When the values successively attributed to the same variable approach indefinitely a fixed value, eventually differing from it by as little as one could wish, that fixed value is called the 'limit' of all the others.
     From: Augustin-Louis Cauchy (Cours d'Analyse [1821], p.19), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 10.4
     A reaction: This seems to be a highly significan proposal, because you can now treat that limit as a number, and adds things to it. It opens the door to Cantor's infinities. Is the 'limit' just a fiction?
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.
14. Science / A. Basis of Science / 6. Falsification
Most theories are continually falsified [Kuhn, by Kitcher]
     Full Idea: Kuhn contends that almost all theories are falsified at almost all times.
     From: report of Thomas S. Kuhn (Structure of Scientific Revolutions (2nd ed) [1962]) by Philip Kitcher - The Nature of Mathematical Knowledge 07.1
     A reaction: This is obviously meant to demolish Karl Popper.
Kuhn's scientists don't aim to falsifying their paradigm, because that is what they rely on [Kuhn, by Gorham]
     Full Idea: In Kuhn's view scientists are decidedly not interested in falsifying their paradigm, because without a paradigm there is no systematic inquiry at all.
     From: report of Thomas S. Kuhn (Structure of Scientific Revolutions (2nd ed) [1962]) by Geoffrey Gorham - Philosophy of Science 3
     A reaction: This seems to be one of the stronger aspects of Kuhn's account. You'd be leaving the big house, to go out on the road with a tent.
14. Science / B. Scientific Theories / 1. Scientific Theory
Kuhn came to accept that all scientists agree on a particular set of values [Kuhn, by Bird]
     Full Idea: Kuhn later came to accept that there are five values to which scientists in all paradigms adhere: accuracy; consistency with accepted theories; broad scope; simplicity; and fruitfulness.
     From: report of Thomas S. Kuhn (Reflections on my Critics [1970]) by Alexander Bird - Philosophy of Science Ch.8
     A reaction: To shake off the relativism for which Kuhn is notorious, we should begin by asking the question WHY scientists favoured these particular values, rather than (say) bizarreness, consistency with Lewis Carroll, or alliteration. (They are epistemic virtues).
14. Science / B. Scientific Theories / 4. Paradigm
Switching scientific paradigms is a conversion experience [Kuhn]
     Full Idea: The transfer of allegiance from paradigm to paradigm is a conversion experience which cannot be forced.
     From: Thomas S. Kuhn (Structure of Scientific Revolutions (2nd ed) [1962]), quoted by Samir Okasha - Philosophy of Science: Very Short Intro (2nd ed) 5
     A reaction: This is the controversial part of Kuhn, which says that the most important decisions are not really rational. Anyone who thought the interpretation of a bunch of evidence is logical needed their head examined. But it IS rational.
14. Science / B. Scientific Theories / 5. Commensurability
Kuhn has a description theory of reference, so the reference of 'electron' changes with the descriptions [Rowlands on Kuhn]
     Full Idea: Kuhn and Feyerabend adopt a description theory of reference; the term 'electron' refers to whatever satisfies the descriptions associated with electrons, and since these descriptions vary between theories, so too must the reference.
     From: comment on Thomas S. Kuhn (Structure of Scientific Revolutions (2nd ed) [1962]) by Mark Rowlands - Externalism Ch.3
     A reaction: This is a key idea in modern philosophy, showing why all of reality and science were at stake when Kripke and others introduced a causal theory of reference. All the current debates about externalism and essentialism grow from this problem.
Incommensurability assumes concepts get their meaning from within the theory [Kuhn, by Okasha]
     Full Idea: The doctrine of incommensurability stems from Kuhn's belief that scientific concepts derive their meaning from the theory in which they play a role.
     From: report of Thomas S. Kuhn (Structure of Scientific Revolutions (2nd ed) [1962]) by Samir Okasha - Philosophy of Science: Very Short Intro (2nd ed) 5
     A reaction: Quine was the source of this. Kripke's direct reference theory was meant to be the answer.
Galileo's notions can't be 'incommensurable' if we can fully describe them [Putnam on Kuhn]
     Full Idea: To tell us that Galileo had 'incommensurable' notions and then go on to describe them at length is totally incoherent.
     From: comment on Thomas S. Kuhn (Structure of Scientific Revolutions (2nd ed) [1962]) by Hilary Putnam - Reason, Truth and History Ch.5
     A reaction: How refreshingly sensible. Incommensurability is the sort of nonsense you slide into if you take an instrumental view of science. But scientists are continually aim to pin down what is actually there. Translation between theories is very difficult!
In theory change, words shift their natural reference, so the theories are incommensurable [Kuhn]
     Full Idea: In transitions between theories words change their meanings or applicability. Though most of the signs are used before and after a revolution - force, mass, cell - the ways they attach to nature has changed. Successive theories are thus incommensurable.
     From: Thomas S. Kuhn (Reflections on my Critics [1970], §6)
     A reaction: A very nice statement of the view, from the horse's mouth. A great deal of recent philosophy has been implicitly concerned with meeting Kuhn's challenge, by providing an account of reference that doesn't have such problems.
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.