Cognitive Maps and the Language of Thought

Fodor advocates a view of cognitive processes as computations defined over the language of thought (or Mentalese). Even among those who endorse Mentalese, considerable controversy surrounds its representational format. What semantically relevant structure should scientific psychology attribute to Mentalese symbols? Researchers commonly emphasize logical structure, akin to that displayed by predicate calculus sentences. To counteract this tendency, I discuss computational models of navigation drawn from probabilistic robotics. These models involve computations defined over cognitive maps, which have geometric rather than logical structure. They thereby demonstrate the possibility of rational cognitive processes in an exclusively non-logical representational medium. Furthermore, they offer much promise for the empirical study of animal navigation. 1. Mental Representations2. Mental Imagery, Perception, and Cognitive Maps3. Cognitive Maps in Psychology4. Cognitive Maps in Robotics5. Cognitive Maps in the Strict Sense?6. Logically Structured Representations?7. Systematicity and Productivity8. Consequences for Philosophy and Psychology Appendix: Cartographic Semantics Mental Representations Mental Imagery, Perception, and Cognitive Maps Cognitive Maps in Psychology Cognitive Maps in Robotics Cognitive Maps in the Strict Sense? Logically Structured Representations? Systematicity and Productivity Consequences for Philosophy and Psychology Appendix: Cartographic Semantics

[1]  A. Sloman,et al.  The computer revolution in philosophy , 1978 .

[2]  S. Clough.  Truth and Predication , 2006 .

[3]  Ronald C. Arkin,et al.  An Behavior-based Robotics , 1998 .

[4]  Benjamin Kuipers,et al.  The Spatial Semantic Hierarchy , 2000, Artif. Intell..

[5]  Mark Witkowski,et al.  High-Level Robot Control through Logic , 2000, ATAL.

[6]  Roberto Casati,et al.  Parts And Places , 1999 .

[7]  Z. Pylyshyn,et al.  Seeing and Visualizing , 2022 .

[8]  Rick Grush,et al.  Self, World and Space: The Meaning and Mechanismsof Ego- and Allocentric Spatial Representation , 2000 .

[9]  Zenon W. Pylyshyn,et al.  Connectionism and cognitive architecture , 1993 .

[10]  R. Kitchin,et al.  Cognitive maps: What are they and why study them? , 1994 .

[11]  Rick Grush,et al.  The emulation theory of representation: Motor control, imagery, and perception , 2004, Behavioral and Brain Sciences.

[12]  Benjamin Kuipers,et al.  A Logical Account of Causal and Topological Maps , 2001, IJCAI.

[13]  Richard G. Heck.  Are there different kinds of content , 2007 .

[14]  C. Gallistel.  The organization of learning , 1990 .

[15]  Michael R. Genesereth,et al.  Logical foundations of artificial intelligence , 1987 .

[16]  Michael Rescorla,et al.  Predication and cartographic representation , 2009, Synthese.

[17]  D. Armstrong,et al.  Belief, Truth and Knowledge. , 1974 .

[18]  S. Becker,et al.  Remembering the past and imagining the future: a neural model of spatial memory and imagery. , 2007, Psychological review.

[19]  Patrick J. Hayes,et al.  Some problems and non-problems in representation theory , 1974 .

[20]  R. Shepard,et al.  Second-order isomorphism of internal representations: Shapes of states ☆ , 1970 .

[21]  E. Switkes,et al.  Deoxyglucose analysis of retinotopic organization in primate striate cortex. , 1982, Science.

[22]  V. C. Müller,et al.  The phenomenal content of experience , 2006 .

[23]  P. Hayes.  The Logic of Frames , 1981 .

[24]  T. Burge.  Disjunctivism and Perceptual Psychology , 2005 .

[25]  N. Schmajuk.  Cognitive maps , 1998 .

[26]  B. Collier,et al.  Replies , 1984, Neuroscience.

[27]  D. W. Ricker,et al.  Spatial Representation , 2021, Problem Solving in Mathematics and Beyond.

[28]  David S. Touretzky,et al.  Navigating with landmarks: computing goal locations from places codes , 1997 .

[29]  R. Cummins.  Representations, targets, and attitudes , 1996 .

[30]  Ned Block,et al.  Mental Pictures and Cognitive Science , 1983 .

[31]  Peter Cheeseman,et al.  On the Representation and Estimation of Spatial Uncertainty , 1986 .

[32]  Sebastian Thrun,et al.  Probabilistic robotics , 2002, CACM.

[33]  Ned Block,et al.  The Mind as the Software of the Brain , 1995 .

[34]  José Luis Bermúdez,et al.  Thinking Without Words , 2007 .

[35]  R. D. Gaynesford,et al.  Past, Space and Self. , 1994 .

[36]  Tod S. Levitt,et al.  Qualitative Navigation for Mobile Robots , 1990, Artif. Intell..

[37]  R. Menzel,et al.  Honey bees navigate according to a map-like spatial memory. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[38]  Michael Devitt,et al.  Ignorance of Language , 2006 .

[39]  C. Peacocke.  A Study of Concepts , 1994 .

[40]  K. Bach.  Varieties of Reference , 1994 .

[41]  Rodney A. Brooks,et al.  Elephants don't play chess , 1990, Robotics Auton. Syst..

[42]  J. Fodor,et al.  Connectionism and cognitive architecture: A critical analysis , 1988, Cognition.

[43]  J. Fodor,et al.  The Language of Thought , 1980 .

[44]  John McCarthy,et al.  SOME PHILOSOPHICAL PROBLEMS FROM THE STANDPOINT OF ARTI CIAL INTELLIGENCE , 1987 .

[45]  N. Emery.  Cognition, Evolution, and Behavior Cognition, Evolution, and Behavior. 2nd edn. By Sara J. Shettleworth. Oxford: Oxford University Press (2009). Pp. xiii+700. Price $59.95 paperback. , 2010, Animal Behaviour.

[46]  A. Kuo.  An optimal state estimation model of sensory integration in human postural balance , 2005, Journal of neural engineering.

[47]  E. Tolman.  Cognitive maps in rats and men. , 1948, Psychological review.

[48]  Ron Chrisley,et al.  Connectionism, cognitive maps and the development of objectivity , 1993, Artificial Intelligence Review.

[49]  José Luis Bermúdez.  The Paradox of Self-Consciousness , 1998 .

[50]  Wai-Kiang Yeap,et al.  Robotics and Cognitive Approaches to Spatial Mapping , 2010, Springer Tracts in Advanced Robotics.

[51]  Peter Norvig,et al.  Artificial Intelligence: A Modern Approach , 1995 .

[52]  Ron Koppelberger,et al.  Space and Time , 2021, Nature.

[53]  L. Barsalou,et al.  Whither structured representation? , 1999, Behavioral and Brain Sciences.

[54]  E. Boring.  Mind and mechanism. , 1946, The American journal of psychology.

[55]  Rob Kitchin,et al.  Thinking about maps , 2009 .

[56]  Vasant Honavar,et al.  Spatial Learning and Localization in Animals: A Computational Model and Behavioral Experiments , 1998 .

[57]  S. Kosslyn.  Image and mind , 1982 .

[58]  Jean-Arcady Meyer,et al.  Adaptive Behavior , 2005 .

[59]  C. L. Hull.  Knowledge and purpose as habit mechanisms. , 1930 .

[60]  L. Nadel,et al.  The Hippocampus as a Cognitive Map , 1978 .

[61]  Andy Clark,et al.  Towards a Cognitive Robotics , 1999, Adapt. Behav..

[62]  Sebastian Thrun,et al.  Towards programming tools for robots that integrate probabilistic computation and learning , 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065).

[63]  R. Passingham.  The hippocampus as a cognitive map J. O'Keefe & L. Nadel, Oxford University Press, Oxford (1978). 570 pp., £25.00 , 1979, Neuroscience.

[64]  S. Kosslyn,et al.  Mental imagery , 2013, Front. Psychol..

[65]  Murray Shanahan.  Noise, Non-Determinism and Spatial Uncertainty , 1997, AAAI/IAAI.

[66]  Jean-Arcady Meyer,et al.  BIOLOGICALLY BASED ARTIFICIAL NAVIGATION SYSTEMS: REVIEW AND PROSPECTS , 1997, Progress in Neurobiology.

[67]  H. Minkowski,et al.  Space and time , 1952 .

[68]  S. Pinker.  So How Does the Mind Work , 2005 .

[69]  E. Hannum.  INDIVIDUALS , 1934, Francis W. Parker School Studies in Education.

[70]  Frank Jackson,et al.  The philosophy of mind and cognition , 1996 .

[71]  Georges Rey.  A NOT "MERELY EMPIRICAL" ARGUMENT FOR A LANGUAGE OF THOUGHT , 1995 .

[72]  K. Sterelny.  The Imagery Debate , 1986, Philosophy of Science.

[73]  J. Mcdowell,et al.  Mind and World , 1994 .

[74]  Charles Wallis,et al.  Computation and cognition , 2003, J. Exp. Theor. Artif. Intell..

[75]  R. Wehner,et al.  The desert ant odometer: a stride integrator that accounts for stride length and walking speed , 2007, Journal of Experimental Biology.

[76]  Vasant Honavar,et al.  Spatial Learning and Localization in Rodents: A Computational Model of the Hippocampus and its Implications for Mobile Robots , 1999, Adapt. Behav..

[77]  C. Campbell,et al.  On Being There , 1965 .

[78]  T. Burge,et al.  Perceptual Entitlement * , 2007 .

[79]  Aaron Ridley,et al.  Nietzsche on Language: Before and After Wittgenstein , 2005 .

[80]  Rajesh P. N. Rao,et al.  Probabilistic Models of the Brain: Perception and Neural Function , 2002 .

[81]  Benjamin Kuipers,et al.  Adapting proposal distributions for accurate, efficient mobile robot localization , 2006, Proceedings 2006 IEEE International Conference on Robotics and Automation, 2006. ICRA 2006..

[82]  D. McDermott.  Mind and mechanism , 2001 .

[83]  Kim Sterelny,et al.  The Imagery Debate , 1991 .

[84]  Hector J. Levesque,et al.  GOLOG: A Logic Programming Language for Dynamic Domains , 1997, J. Log. Program..

[85]  P. Johnson-Laird.  The history of mental models , 2004 .

[86]  R. Wehner.  Desert ant navigation: how miniature brains solve complex tasks , 2003, Journal of Comparative Physiology A.

[87]  D S Touretzky,et al.  Theory of rodent navigation based on interacting representations of space , 1996, Hippocampus.

[88]  C. Gallistel.  Insect Navigation: Brains as Symbol- Processing Organs , 1998 .

[89]  Charles R. Gallistel,et al.  Dead Reckoning, Cognitive Maps, Animal Navigation and the Representation of Space: An Introduction , 2008, Robotics and Cognitive Approaches to Spatial Mapping.

[90]  Benjamin Kuipers,et al.  An Intellectual History of the Spatial Semantic Hierarchy , 2008, Robotics and Cognitive Approaches to Spatial Mapping.

[91]  P. Godfrey‐Smith.  Mental Representation, Naturalism, and Teleosemantics , 2006 .