segunda-feira, 23 de fevereiro de 2009
SWOT Analysis
Cognitive Science
Cognitive Science
First published Mon Sep 23, 1996; substantive revision Mon Apr 30, 2007
Cognitive science is the interdisciplinary study of mind and intelligence, embracing philosophy, psychology, artificial intelligence, neuroscience, linguistics, and anthropology. Its intellectual origins are in the mid-1950s when researchers in several fields began to develop theories of mind based on complex representations and computational procedures. Its organizational origins are in the mid-1970s when the Cognitive Science Society was formed and the journal Cognitive Science began. Since then, more than sixty universities in North America, Europe, Asia, and Australia have established cognitive science programs, and many others have instituted courses in cognitive science.
- 1. History
- 2. Methods
- 3. Representation and Computation
- Bibliography
- Acknowledgment
- Other Internet Resources
- Related Entries
Attempts to understand the mind and its operation go back at least to the Ancient Greeks, when philosophers such as Plato and Aristotle tried to explain the nature of human knowledge. The study of mind remained the province of philosophy until the nineteenth century, when experimental psychology developed. Wilhelm Wundt and his students initiated laboratory methods for studying mental operations more systematically. Within a few decades, however, experimental psychology became dominated by behaviorism, a view that virtually denied the existence of mind. According to behaviorists such as J. B. Watson, psychology should restrict itself to examining the relation between observable stimuli and observable behavioral responses. Talk of consciousness and mental representations was banished from respectable scientific discussion. Especially in North America, behaviorism dominated the psychological scene through the 1950s. Around 1956, the intellectual landscape began to change dramatically. George Miller summarized numerous studies which showed that the capacity of human thinking is limited, with short-term memory, for example, limited to around seven items. He proposed that memory limitations can be overcome by recoding information into chunks, mental representations that require mental procedures for encoding and decoding the information. At this time, primitive computers had been around for only a few years, but pioneers such as John McCarthy, Marvin Minsky, Allen Newell, and Herbert Simon were founding the field of artificial intelligence. In addition, Noam Chomsky rejected behaviorist assumptions about language as a learned habit and proposed instead to explain language comprehension in terms of mental grammars consisting of rules. The six thinkers mentioned in this paragraph can be viewed as the founders of cognitive science.
3. Representation and Computation
The central hypothesis of cognitive science is that thinking can best be understood in terms of representational structures in the mind and computational procedures that operate on those structures. While there is much disagreement about the nature of the representations and computations that constitute thinking, the central hypothesis is general enough to encompass the current range of thinking in cognitive science, including connectionist theories which model thinking using artificial neural networks.
Most work in cognitive science assumes that the mind has mental representations analogous to computer data structures, and computational procedures similar to computational algorithms. Cognitive theorists have proposed that the mind contains such mental representations as logical propositions, rules, concepts, images, and analogies, and that it uses mental procedures such as deduction, search, matching, rotating, and retrieval. The dominant mind-computer analogy in cognitive science has taken on a novel twist from the use of another analog, the brain.
Connectionists have proposed novel ideas about representation and computation that use neurons and their connections as inspirations for data structures, and neuron firing and spreading activation as inspirations for algorithms. Cognitive science then works with a complex 3-way analogy among the mind, the brain, and computers. Mind, brain, and computation can each be used to suggest new ideas about the others. There is no single computational model of mind, since different kinds of computers and programming approaches suggest different ways in which the mind might work. The computers that most of us work with today are serial processors, performing one instruction at a time, but the brain and some recently developed computers are parallel processors, capable of doing many operations at once.
Formal logic provides some powerful tools for looking at the nature of representation and computation. Propositional and predicate calculus serve to express many complex kinds of knowledge, and many inferences can be understood in terms of logical deduction with inferences rules such as modus ponens. The explanation schema for the logical approach is:
Explanation target:
- Why do people make the inferences they do?
Explanatory pattern:
- People have mental representations similar to sentences in predicate logic.
- People have deductive and inductive procedures that operate on those sentences.
- The deductive and inductive procedures, applied to the sentences, produce the inferences.
It is not certain, however, that logic provides the core ideas about representation and computation needed for cognitive science, since more efficient and psychologically natural methods of computation may be needed to explain human thinking.
- People have mental rules.
- People have procedures for using these rules to search a space of possible solutions, and procedures for generating new rules.
- Procedures for using and forming rules produce the behavior.
- People have a set of concepts, organized via slots that establish kind and part hierarchies and other associations.
- People have a set of procedures for concept application, including spreading activation, matching, and inheritance.
- The procedures applied to the concepts produce the behavior.
- Concepts can be translated into rules, but they bundle information differently than sets of rules, making possible different computational procedures.
- People have verbal and visual representations of situations that can be used as cases or analogs.
- People have processes of retrieval, mapping, and adaptation that operate on those analogs.
- The analogical processes, applied to the representations of analogs, produce the behavior.
- People have visual images of situations.
- People have processes such as scanning and rotation that operate on those images.
- The processes for constructing and manipulating images produce the intelligent behavior.
- People have representations that involve simple processing units linked to each other by excitatory and inhibitory connections.
- People have processes that spread activation between the units via their connections, as well as processes for modifying the connections.
- Applying spreading activation and learning to the units produces the behavior.
- The brain has neurons organized by synaptic connections into populations and brain areas.
- The neural populations have spiking patterns that are transformed via sensory inputs and the spiking patterns of other neural populations.
- Interactions of neural populations carry out functions including cognitive tasks.
5.1 Philosophical Applications
- Innateness. To what extent is knowledge innate or acquired by experience? Is human behavior shaped primarily by nature or nurture?
- Language of thought. Does the human brain operate with a language-like code or with a more general connectionist architecture? What is the relation between symbolic cognitive models using rules and concepts and sub-symbolic models using neural networks?
- Mental imagery. Do human minds think with visual and other kinds of imagery, or only with language-like representations?
- Folk psychology. Does a person's everyday understanding of other people consist of having a theory of mind, or of merely being able to simulate them?
- Meaning. How do mental representations acquire meaning or mental content? To what extent does the meaning of a representation depend on its relation to other representations, its relation to the world, and its relation to a community of thinkers?
- Mind-brain identity. Are mental states brain states? Or can they be multiply realized by other material states? What is the relation between psychology and neuroscience? Is materialism true?
- Free will. Is human action free or merely caused by brain events?
- Moral psychology. How do minds/brains make ethical judgments?
- Emotions. What are emotions, and what role do they play in thinking?
- Appearance and reality. How do minds/brains form and evaluate representations of the external world?
Additional philosophical problems arise from examining the presuppositions of current approaches to cognitive science.
5.2 Critique of Cognitive Science
The claim that human minds work by representation and computation is an empirical conjecture and might be wrong. Although the computational-representational approach to cognitive science has been successful in explaining many aspects of human problem solving, learning, and language use, some philosophical critics such as Hubert Dreyfus (1992) and John Searle (1992) have claimed that this approach is fundamentally mistaken. Critics of cognitive science have offered such challenges as:
- The emotion challenge: Cognitive science neglects the important role of emotions in human thinking.
- The consciousness challenge: Cognitive science ignores the importance of consciousness in human thinking.
- The world challenge: Cognitive science disregards the significant role of physical environments in human thinking.
- The body challenge: Cognitive science neglects the contribution of the body to human thought and action.
- The social challenge: Human thought is inherently social in ways that cognitive science ignores.
- The dynamical systems challenge: The mind is a dynamical system, not a computational system.
- The mathematics challenge: Mathematical results show that human thinking cannot be computational in the standard sense, so the brain must operate differently, perhaps as a quantum computer.
Thagard (2005) argues that all these challenges can best be met by expanding and supplementing the computational-representational approach, not by abandoning it.
5.3 Philosophy of Cognitive Science
Cognitive science raises many interesting methodological questions that are worthy of investigation by philosophers of science. What is the nature of representation? What role do computational models play in the development of cognitive theories? What is the relation among apparently competing accounts of mind involving symbolic processing, neural networks, and dynamical systems? What is the relation among the various fields of cognitive science such as psychology, linguistics, and neuroscience? Are psychological phenomena subject to reductionist explanations via neuroscience? Von Eckardt (1993) and Clark (2001) provide discussions of some of the philosophical issues that arise in cognitive science. Bechtel et al. (2001) collect useful articles on the philosophy of neuroscience.
The increasing prominence of neural explanations in cognitive, social, developmental, and clinical psychology raises important philosophical questions about explanation and reduction. Anti-reductionism, according to which psychological explanations are completely independent of neurological ones, is becoming increasingly implausible, but it remains controversial to what extent psychology can be reduced to neuroscience and molecular biology (see McCauley, 2007, for a comprehensive survey). Essential to answering questions about the nature of reduction are answers to questions about the nature of explanation. Explanations in psychology, neuroscience, and biology in general are plausibly viewed as descriptions of mechanisms, which are systems of parts that interact to produce regular changes (Bechtel and Abrahamsen, 2005). In psychological explanations, the parts are mental representations that interact by computational procedures to produce new representations. In neuroscientific explanations, the parts are neural populations that interact by electrochemical processes to produce new activity in neural populations. If progress in theoretical neuroscience continues, it should become possible to tie psychological to neurological explanations by showing how mental representations such as concepts are constituted by activities in neural populations, and how computational procedures such as spreading activation among concepts are carried out by neural processes.
- Bechtel, W., & Abrahamsen, A. A. (2005). Explanation: A Mechanistic Alternative. Studies in History and Philosophy of Biology and Biomedical Sciences, 36, 421-441.
- Bechtel, W., & Graham, G. (Eds.). (1998). A Companion to Cognitive Science. Malden, MA: Blackwell.
- Bechtel, W., Mandik, P., Mundale, J., & Stufflebeam, R. S. (Eds.). (2001). Philosophy and the Neurosciences: A Reader. Malden, MA: Blackwell.
- Clark, A. (2001). Mindware: An Introduction to the Philosophy of Cognitive science. New York: Oxford University Press.
- Dawson, M. R. W. (1998). Understanding Cognitive Science. Oxford: Blackwell.
- Dreyfus, H. L. (1992). What Computers Still Can't Do. (3rd ed.). Cambridge, MA: MIT Press.
- Eliasmith, C., & Anderson, C. H. (2003). Neural Engineering: Computation, Representation and Dynamics in Neurobiological Systems. Cambridge, MA: MIT Press.
- Friedenberg, J. D., & Silverman, G. (2005). Cognitive science: An introduction to the study of mind. Thousand Oaks, CA: Sage.
- Goldman, A. (1993). Philosophical Applications of Cognitive Science. Boulder: Westview Press.
- Johnson-Laird, P., (1988). The Computer and the Mind: An Introduction to Cognitive Science. Cambridge, MA: Harvard University Press.
- McCauley, R. N. (2007). Reduction: Models of Cross-scientific Relations and their Implications for the Psychology-neuroscience Interface. In P. Thagard (Ed.), Philosophy of Psychology and Cognitive Science (pp. 105-158). Amsterdam: Elsevier.
- Nadel, L. (Ed.). (2003). Encyclopedia of Cognitive Science. London:Nature Publishing Group.
- Polk, T. A., & Seifert, C. M. (Eds.). (2002). Cognitive Modeling. Cambridge, MA: MIT Press.
- Searle, J. (1992). The Rediscovery of the Mind. Cambridge, MA: MIT Press.
- Sobel, C. P. (2001). The Cognitive Sciences: An Interdisciplinary Approach. Mountain View, CA: Mayfield.
- Stillings, N., et al., (1995). Cognitive Science. Second edition. Cambridge, MA: MIT Press.
- Thagard, P., (2005). Mind: Introduction to Cognitive Science, second edition, Cambridge, MA: MIT Press.
- Thagard, P. (Ed.). (2007). Philosophy of Psychology and Cognitive Science. Amsterdam: Elsevier.
- von Eckardt, B. (1993). What is Cognitive Science? Cambridge, MA: MIT Press.
- Wilson, R. A., & Keil, F. C. (Eds.). (1999). The MIT Encyclopedia of the Cognitive Sciences. Cambridge, MA: MIT Press.
With the kind permission of MIT Press, this page incorporates some material from the first and second editions of P. Thagard, Mind: Introduction to Cognitive Science.
- Artificial Intelligence in the news (American Association for Artificial Intelligence)
- Artificial intelligence on the Web
- Bibliography of Cognitive Science
- Biographies of Major Contributors to Cognitive Science
- Celebrities in Cognitive Science
- Cognitive Science Dictionary, University of Alberta
- Cognitive Science Society
- Cogprints: Archive of papers on Cognitive Science
- Computational Epistemology Lab at the University of Waterloo
- Dictionary of Philosophy of Mind
- Glossary of Cognitive Science
- Google Cognitive Science page
- Yahoo! Cognitive Science page
- More specific Cognitive Science links
artificial intelligence | behaviorism | concepts | connectionism | consciousness | emotion | folk psychology: as a theory | folk psychology: as mental simulation | identity theory of mind | innate/acquired distinction | innateness: and contemporary theories of cognition | intentionality | language of thought hypothesis | meaning holism | memory | mental content: causal theories of | mental imagery | mental representation | mind: computational theory of | mind: modularity of | neuroscience, philosophy of | propositional attitude reports
Copyright © 2007 by
Paul Thagard <pthagard@watarts.uwaterloo.ca>
Mental Representation
Mental Representation
First published Thu Mar 30, 2000; substantive revision Wed Jul 7, 2004
The notion of a "mental representation" is, arguably, in the first instance a theoretical construct of cognitive science. As such, it is a basic concept of the Computational Theory of Mind, according to which cognitive states and processes are constituted by the occurrence, transformation and storage (in the mind/brain) of information-bearing structures (representations) of one kind or another.
However, on the assumption that a representation is an object with semantic properties (content, reference, truth-conditions, truth-value, etc.), a mental representation may be more broadly construed as a mental object with semantic properties. As such, mental representations (and the states and processes that involve them) need not be understood only in computational terms. On this broader construal, mental representation is a philosophical topic with roots in antiquity and a rich history and literature predating the recent "cognitive revolution." Though most contemporary philosophers of mind acknowledge the relevance and importance of cognitive science, they vary in their degree of engagement with its literature, methods and results; and there remain, for many, issues concerning the representational properties of the mind that can be addressed independently of the computational hypothesis.
Though the term 'Representational Theory of Mind' is sometimes used almost interchangeably with 'Computational Theory of Mind', I will use it here to refer to any theory that postulates the existence of semantically evaluable mental objects, including philosophy's stock in trade mentalia — thoughts, concepts, percepts, ideas, impressions, notions, rules, schemas, images, phantasms, etc. — as well as the various sorts of "subpersonal" representations postulated by cognitive science. Representational theories may thus be contrasted with theories, such as those of Baker (1995), Collins (1987), Dennett (1987), Gibson (1966, 1979), Reid (1764/1997), Stich (1983) and Thau (2002), which deny the existence of such things.
- 1. The Representational Theory of Mind
- 2. Propositional Attitudes
- 3. Conceptual and Nonconceptual Representation
- 4. Representationalism and Phenomenalism
- 5. Imagery
- 6. Content Determination
- 7. Internalism and Externalism
- 8. The Computational Theory of Mind
- 9. Thought and Language
- Bibliography
- Other Internet Resources
- Related Entries
1. The Representational Theory of Mind
3. Conceptual and Non-Conceptual Representation
It is a traditional assumption among realists about mental representations that representational states come in two basic varieties (cf. Boghossian 1995). There are those, such as thoughts, which are composed of concepts and have no phenomenal ("what-it's-like") features ("qualia"), and those, such as sensory experiences, which have phenomenal features but no conceptual constituents. (Nonconceptual content is usually defined as a kind of content that states of a creature lacking concepts might nonetheless enjoy.[1] On this taxonomy, mental states can represent either in a way analogous to expressions of natural languages or in a way analogous to drawings, paintings, maps or photographs. (Perceptual states such as seeing that something is blue, are sometimes thought of as hybrid states, consisting of, for example, a non-conceptual sensory experience and a thought, or some more integrated compound of sensory and conceptual components.)
Some historical discussions of the representational properties of mind (e.g., Aristotle 1984, Locke 1689/1975, Hume 1739/1978) seem to assume that nonconceptual representations — percepts ("impressions"), images ("ideas") and the like — are the only kinds of mental representations, and that the mind represents the world in virtue of being in states that resemble things in it. On such a view, all representational states have their content in virtue of their phenomenal features. Powerful arguments, however, focusing on the lack of generality (Berkeley 1975), ambiguity (Wittgenstein 1953) and non-compositionality (Fodor 1981c) of sensory and imagistic representations, as well as their unsuitability to function as logical (Frege 1918/1997, Geach 1957) or mathematical (Frege 1884/1953) concepts, and the symmetry of resemblance (Goodman 1976), convinced philosophers that no theory of mind can get by with only nonconceptual representations construed in this way.
Contemporary disagreement over nonconceptual representation concerns the existence and nature of phenomenal properties and the role they play in determining the content of sensory experience. Dennett (1988), for example, denies that there are such things as qualia at all; while Brandom (2002), McDowell (1994), Rey (1991) and Sellars (1956) deny that they are needed to explain the content of sensory experience. Among those who accept that experiences have phenomenal content, some (Dretske, Lycan, Tye) argue that it is reducible to a kind of intentional content, while others (Block, Loar, Peacocke) argue that it is irreducible. (See the discussion in the next section.)
There has also been dissent from the traditional claim that conceptual representations (thoughts, beliefs) lack phenomenology. Chalmers (1996), Flanagan (1992), Goldman (1993), Horgan and Tiensen (2003), Jackendoff (1987), Levine (1993, 1995, 2001), McGinn (1991a), Pitt (2004), Searle (1992), Siewert (1998) and Strawson (1994), claim that purely symbolic (conscious) representational states themselves have a (perhaps proprietary) phenomenology. If this claim is correct, the question of what role phenomenology plays in the determination of content rearises for conceptual representation; and the eliminativist ambitions of Sellars, Brandom, Rey, et al. would meet a new obstacle. (It would also raise prima face problems for reductivist representationalism (see the next section).)
4. Representationalism and Phenomenalism
The main argument for representationalism appeals to the transparency of experience (cf. Tye 2000: 45-51). The properties that characterize what it's like to have a perceptual experience are presented in experience as properties of objects perceived: in attending to an experience, one seems to "see through it" to the objects and properties it is experiences of.[2] They are not presented as properties of the experience itself. If nonetheless they were properties of the experience, perception would be massively deceptive. But perception is not massively deceptive. According to the representationalist, the phenomenal character of an experience is due to its representing objective, non-experiential properties. (In veridical perception, these properties are locally instantiated; in illusion and hallucination, they are not.) On this view, introspection is indirect perception: one comes to know what phenomenal features one's experience has by coming to know what objective features it represents.
In order to account for the intuitive differences between conceptual and sensory representations, representationalists appeal to their structural or functional differences. Dretske (1995), for example, distinguishes experiences and thoughts on the basis of the origin and nature of their functions: an experience of a property P is a state of a system whose evolved function is to indicate the presence of P in the environment; a thought representing the property P, on the other hand, is a state of a system whose assigned (learned) function is to calibrate the output of the experiential system. Rey (1991) takes both thoughts and experiences to be relations to sentences in the language of thought, and distinguishes them on the basis of (the functional roles of) such sentences' constituent predicates. Lycan (1987, 1996) distinguishes them in terms of their functional-computational profiles. Tye (2000) distinguishes them in terms of their functional roles and the intrinsic structure of their vehicles: thoughts are representations in a language-like medium, whereas experiences are image-like representations consisting of "symbol-filled arrays." (Cf. the account of mental images in Tye 1991.)
Phenomenalists tend to make use of the same sorts of features (function, intrinsic structure) in explaining some of the intuitive differences between thoughts and experiences; but they do not suppose that such features exhaust the differences between phenomenal and non-phenomenal representations. For the phenomenalist, it is the phenomenal properties of experiences — qualia themselves — that constitute the fundamental difference between experience and thought. Peacocke (1992), for example, develops the notion of a perceptual "scenario" (an assignment of phenomenal properties to coordinates of a three-dimensional egocentric space), whose content is "correct" (a semantic property) if in the corresponding "scene" (the portion of the external world represented by the scenario) properties are distributed as their phenomenal analogues are in the scenario.
Another sort of representation championed by phenomenalists (e.g., Block, Chalmers (2003) and Loar (1996)) is the "phenomenal concept" — a conceptual/phenomenal hybrid consisting of a phenomenological "sample" (an image or an occurrent sensation) integrated with (or functioning as) a conceptual component. Phenomenal concepts are postulated to account for the apparent fact (among others) that, as McGinn (1991b) puts it, "you cannot form [introspective] concepts of conscious properties unless you yourself instantiate those properties." One cannot have a phenomenal concept of a phenomenal property P, and, hence, phenomenal beliefs about P, without having experience of P, because P itself is (in some way) constitutive of the concept of P. (Cf. Jackson 1982, 1986 and Nagel 1974.)
The contents of mental representations are typically taken to be abstract objects (properties, relations, propositions, sets, etc.). A pressing question, especially for the naturalist, is how mental representations come to have their contents. Here the issue is not how to naturalize content (abstract objects can't be naturalized), but, rather, how to provide a naturalistic account of the content-determining relations between mental representations and the abstract objects they express. There are two basic types of contemporary naturalistic theories of content-determination, causal-informational and functional.[3]
Causal-informational theories (Dretske 1981, 1988, 1995) hold that the content of a mental representation is grounded in the information it carries about what does (Devitt 1996) or would (Fodor 1987, 1990a) cause it to occur.[4] There is, however, widespread agreement that causal-informational relations are not sufficient to determine the content of mental representations. Such relations are common, but representation is not. Tree trunks, smoke, thermostats and ringing telephones carry information about what they are causally related to, but they do not represent (in the relevant sense) what they carry information about. Further, a representation can be caused by something it does not represent, and can represent something that has not caused it.
The main attempts to specify what makes a causal-informational state a mental representation are Asymmetric Dependency Theories (e.g., Fodor 1987, 1990a, 1994) and Teleological Theories (Fodor 1990b, Millikan 1984, Papineau 1987, Dretske 1988, 1995). The Asymmetric Dependency Theory distinguishes merely informational relations from representational relations on the basis of their higher-order relations to each other: informational relations depend upon representational relations, but not vice-versa. For example, if tokens of a mental state type are reliably caused by horses, cows-on-dark-nights, zebras-in-the-mist and Great Danes, then they carry information about horses, etc. If, however, such tokens are caused by cows-on-dark-nights, etc. because they were caused by horses, but not vice versa, then they represent horses (or the property horse).
According to Teleological Theories, representational relations are those a representation-producing mechanism has the selected (by evolution or learning) function of establishing. For example, zebra-caused horse-representations do not mean zebra, because the mechanism by which such tokens are produced has the selected function of indicating horses, not zebras. The horse-representation-producing mechanism that responds to zebras is malfunctioning.
Functional theories (Block 1986, Harman 1973), hold that the content of a mental representation is grounded in its (causal computational, inferential) relations to other mental representations. They differ on whether relata should include all other mental representations or only some of them, and on whether to include external states of affairs. The view that the content of a mental representation is determined by its inferential/computational relations with all other representations is holism; the view it is determined by relations to only some other mental states is localism (or molecularism). (The view that the content of a mental state depends on none of its relations to other mental states is atomism.) Functional theories that recognize no content-determining external relata have been called solipsistic (Harman 1987). Some theorists posit distinct roles for internal and external connections, the former determining semantic properties analogous to sense, the latter determining semantic properties analogous to reference (McGinn 1982, Sterelny 1989).
(Reductive) representationalists (Dretske, Lycan, Tye) usually take one or another of these theories to provide an explanation of the (non-conceptual) content of experiential states. They thus tend to be externalists (see the next section) about phenomenological as well as conceptual content. Phenomenalists and non-reductive representationalists (Block, Chalmers, Loar, Peacocke, Siewert), on the other hand, take it that the representational content of such states is (at least in part) determined by their intrinsic phenomenal properties. Further, those who advocate a phenomenology-based approach to conceptual content (Horgan and Tiensen, Loar, Pitt, Searle, Siewert) also seem to be committed to internalist individuation of the content (if not the reference) of such states.
7. Internalism and Externalism
8. The Computational Theory of Mind
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artificial intelligence | cognitive science | concepts | connectionism | consciousness: and intentionality | consciousness: representational theories of | folk psychology: as mental simulation | information: semantic conceptions of | intentionality | language of thought hypothesis | materialism: eliminative | mental content: causal theories of | mental content: externalism about | mental content: narrow | mental content: nonconceptual | mental content: teleological theories of | mental imagery | mental representation: in medieval philosophy | mind: computational theory of | neuroscience, philosophy of | perception: the problem of | qualia | reference
Acknowledgments
Thanks to Brad Armour-Garb, Mark Balaguer, Dave Chalmers, Jim Garson, John Heil, Jeff Poland, Bill Robinson, Galen Strawson, Adam Vinueza and (especially) Barbara Von Eckardt for comments on earlier versions of this entry.
Copyright © 2004 by
David Pitt <dalanpitt@yahoo.com>