Skip to main content

Advertisement

Log in

An Active Symbols Theory of Chess Intuition

  • Published:
Minds and Machines Aims and scope Submit manuscript

Abstract

The well-known game of chess has traditionally been modeled in artificial intelligence studies by search engines with advanced pruning techniques. The models were thus centered on an inference engine manipulating passive symbols in the form of tokens. It is beyond doubt, however, that human players do not carry out such processes. Instead, chess masters instead carry out perceptual processes, carefully categorizing the chunks perceived in a position and gradually building complex dynamic structures to represent the subtle pressures embedded in the positions. In this paper we will consider two hypotheses concerning the underlying subcognitive processes and architecture. In the first hypothesis, a multiple-leveled chess representational structure is presented, which includes distance graphs (with varying levels of quality) between pieces, piece mobilities, and abstract roles. These representational schemes seem to account for numerous characteristics of human player’s psychology. The second hypothesis concerns the extension of the architecture proposed in the Copycat project as central for modeling the emergent intuitive perception of a chess position. We provide a synthesis on how the postulated architecture models chess intuition as an emergent mixture of simultaneous distance estimations, chunk perceptions, abstract role awareness, and intention activations. This is an alternative model to the traditional AI approaches, focusing on the philosophy of active symbols.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • G. Atkinson (1993) Chess and Machine Intuition Ablex Publishing Norwood, NJ

    Google Scholar 

  • A. Binet (1894) Psychologie des grands calculateurs et joueurs d’echécs Hachette Paris

    Google Scholar 

  • M.M. Bongard (1970) Pattern Recognition Spartan Books New York

    Google Scholar 

  • Bolland, S. (2003), A Copycat Java Implementation, available online at http://www2.psy. uq.edu.au/CogPsych/Copycat/, University of Queensland, Australia, April 2003

  • J. Cagan K. Kotovsky (1997) ArticleTitleSimulated Annealing and the Generation of the Objective Function: A Model of Learning during Problem Solving Computational Intelligence 13 534–581 Occurrence Handle10.1111/0824-7935.00051 Occurrence HandleMR1492294

    Article  MathSciNet  Google Scholar 

  • M. Campbell A. Joseph Hoane SuffixJr. F.-H. Hsu (2002) ArticleTitleDeep Blue Artificial Intelligence 134 57–83 Occurrence Handle10.1016/S0004-3702(01)00129-1

    Article  Google Scholar 

  • W.G. Chase H.A. Simon (1973a) ArticleTitlePerception in Chess Cognitive Psychology 4 55–81 Occurrence Handle10.1016/0010-0285(73)90004-2

    Article  Google Scholar 

  • W.G. Chase H.A. Simon (1973b) The Mind’s Eye in Chess W.G. Chase (Eds) Visual Information Processing Academic Press New York

    Google Scholar 

  • N. Charness (1981) ArticleTitleSearch in Chess: Age and Skill Differences Journal of Experimental Psychology: Human Perception and Performance 7 467–476 Occurrence Handle10.1037//0096-1523.7.2.467

    Article  Google Scholar 

  • N. Charness E.M. Reingold M. Pomplun D.M. Stampe (2001) ArticleTitleThe Perceptual Aspect of Skilled Performance in Chess: Evidence from Eye Movements Memory & Cognition 29 1146–1152

    Google Scholar 

  • M.T.H. Chi (1978) Knowledge Structure and Memory Development R. Siegler (Eds) Children’s Thinking: What Develops? Erlbaum Hillsdale, NJ 73–96

    Google Scholar 

  • R.M. Church K.W. Church (1983) Plans, Goals, and Search Strategies for the Selection of a Move in Chess P.W. Frey (Eds) Chess Skill in Man and Machine EditionNumber2nd Springer-Verlag New York 131–156

    Google Scholar 

  • A.D. Groot Particlede (1965) Thought and Choice in Chess Mouton New York

    Google Scholar 

  • A.D. Groot Particlede (1986) ArticleTitleIntuition in Chess International Computer Chess Association Journal 9 67–75

    Google Scholar 

  • A.D. Groot Particlede F. Gobet (1996) Perception and Memory in Chess: Studies in the Heuristics of the Professional Eye Assen Van Gorcum

    Google Scholar 

  • L. Finkelstein S. Markovitch (1998) ArticleTitleLearning to Play Chess Selectively by Acquiring Move Patterns International Computer Chess Association Journal 21 100–119

    Google Scholar 

  • French, R.M. (1992), Tabletop: An emergent stochastic computer model of analogy making. PhD Thesis, University of Michigan, Ann Arbor, Michigan

  • R.M. French (1995) The Subtlety of Sameness MIT Press Cambridge

    Google Scholar 

  • R.M. French (1999) ArticleTitleInteractively Converging on Context-sensitive Representations: A Solution to the Frame Problem Revue Internationale de Philosophie 3 365–385

    Google Scholar 

  • Gobet, F. (1993), A computer model of chess memory, XV annual conference of the cognitive science society

  • F. Gobet (1997) ArticleTitleA Pattern-recognition Theory of Search in Expert Problem Solving Thinking and Reasoning 3 291–313 Occurrence Handle10.1080/135467897394301

    Article  Google Scholar 

  • F. Gobet (1998) ArticleTitleExpert Memory: A Comparison of Four Theories Cognition 66 115–152 Occurrence Handle10.1016/S0010-0277(98)00020-1 Occurrence Handle9677761

    Article  PubMed  Google Scholar 

  • F. Gobet S. Jackson (2002) ArticleTitleIn Search of Templates Cognitive Systems Research 3 35–44 Occurrence Handle10.1016/S1389-0417(01)00042-0

    Article  Google Scholar 

  • F. Gobet P.C.R. Lane S. Croker P.C-H. Cheng G. Jones I. Oliver J.M. Pine (2001) ArticleTitleChunking Mechanisms in Human Learning Trends in Cognitive Sciences 5 236–243 Occurrence Handle10.1016/S1364-6613(00)01662-4 Occurrence Handle11390294

    Article  PubMed  Google Scholar 

  • F. Gobet H.A. Simon (1996) ArticleTitleRecall of Rapidly Presented Random Chess Positions is a Function of Skill Psychonomic Bulletin & Review 3 159–163

    Google Scholar 

  • F. Gobet H.A. Simon (1996) ArticleTitleTemplates in Chess Memory: A Mechanism for Recalling Several Boards Cognitive Psychology 31 1–40 Occurrence Handle10.1006/cogp.1996.0011 Occurrence Handle8812020

    Article  PubMed  Google Scholar 

  • F. Gobet H.A. Simon (1996) ArticleTitleRecall of Random and Distorted Chess Positions: Implications for the Theory of Expertise Memory and Cognition 24 493–503

    Google Scholar 

  • F. Gobet H.A. Simon (1998) ArticleTitleExpert Chess Memory: Revisiting the Chunking Hypothesis Memory 6 225–255 Occurrence Handle9709441

    PubMed  Google Scholar 

  • F. Gobet H.A. Simon (2000) ArticleTitleFive Seconds or Sixty? Presentation Time in Expert Memory Cognitive Science 24 651–582 Occurrence Handle10.1016/S0364-0213(00)00031-8

    Article  Google Scholar 

  • D.R. Hofstadter (1979) Gödel, Escher, Bach: an Eternal Golden Braid Basic Books New York

    Google Scholar 

  • D.R. Hofstadter (1985) Metamagical Themas Basic Books New York

    Google Scholar 

  • D. Hofstadter InstitutionalAuthorName and FARG (1995) Fluid Concepts and Creative Analogies: Computer Models of the Fundamental Mechanisms of Thought Basic Books New York

    Google Scholar 

  • Kurzweil, R. (2002) Deep Fritz Draws: Are Humans Getting Smarter, or Are Computers Getting Stupider? Published online at www.KurzweilAI.net, October 19, 2002

  • A. Linhares J.R.A. Torreão (1998) ArticleTitleMicrocanonical Optimization Applied to the Traveling Salesman Problem International Journal of Modern Physics C9 133–146 Occurrence Handle10.1142/S012918319800011X

    Article  Google Scholar 

  • A. Linhares H.H. Yanasse J.R.A. Torreão (1999) ArticleTitleLinear Gate Assignment: A Fast Statistical Mechanics Approach IEEE Transactions on Computer Aided Design of Integrated Circuits and Systems 18 1750–1758 Occurrence Handle10.1109/43.811324

    Article  Google Scholar 

  • A. Linhares (2000) ArticleTitleA Glimpse at the Metaphysics of Bongard Problems Artificial Intelligence 121 251–270 Occurrence Handle10.1016/S0004-3702(00)00042-4 Occurrence HandleMR1783519

    Article  MathSciNet  Google Scholar 

  • Linhares, A. (2002), ‘Data Mining, Bongard Problems, and the Concept of Pattern Conception’, in A. Zanazi, C.A. Brebbia, N.F.F. Ebecken and P. Melli, eds., Data Mining III, pp. 603–611

  • Linhares, A., (2003), ‘Impulsive models of intelligence’, Unpublished manuscript

  • G. Lories (1984) ArticleTitleLa mémoire de joueurs d’echécs: revue critique L’Année Psychologique 84 95–122

    Google Scholar 

  • G. Lories (1987) ArticleTitleRecall of Random and Non-random Chess Positions in Strong and Weak Chess Players Psychologica Belgica 27 153–159

    Google Scholar 

  • G. McGraw (1995) Letter Spirit (Part one): Emergent High-level Perception of Letters using Fluid Concepts Indiana University Bloomington

    Google Scholar 

  • Margolis, E. and Laurence, S. (eds) (1999), Concepts: Core Readings, MIT Press

  • J. Marshall (1999) Metacat: A Self-watching Cognitive Architecture for Analogy-making and High Level Perception Indiana University Bloomington

    Google Scholar 

  • G.A. Miller (1956) ArticleTitleThe Magical Number Seven, Plus or Minus Two: Some Limits on our Capacity for Processing Information Psychological Review 63 71–97

    Google Scholar 

  • Minsky, M. (1986), The Society of Mind, Simon & Schuster

  • M. Mitchell (1993) Analogy-making as Perception MIT Press Cambridge

    Google Scholar 

  • Mitchell, M. (2003), (available online) letter string analogy problems available online from http://www.cse.ogi.edu/∼ mm/analogy-problems.html, March 2003

  • M. Mitchell D.R. Hofstadter (1990) ArticleTitleThe Emergence of Understanding in a Computer Model of Concepts and Analogy-making Physica D 42 322–334

    Google Scholar 

  • A. Möbius A. Neklioudov A. Díaz-Sanchez K.H. Hoffmann A. Fachat M. Schreiber (1997) ArticleTitleOptimization by Thermal Cycling Physical Review Letters 79 4297–4301 Occurrence Handle10.1103/PhysRevLett.79.4297

    Article  Google Scholar 

  • E. Morales (1994) ArticleTitleLearning Patterns for Playing Strategies International Computer Chess Association Journal 17 15–26

    Google Scholar 

  • E. Morales (1996) ArticleTitleLearning Playing Strategies in Chess Computational Intelligence 12 65–87

    Google Scholar 

  • A. Newell (1980) ArticleTitlePhysical Symbol Systems Cognitive Science 4 135–183 Occurrence Handle10.1016/S0364-0213(80)80015-2

    Article  Google Scholar 

  • Rehling, J.A. (2001), Letter Spirit (Part two): Modeling Creativity in a Visual Domain. PhD Thesis, Indiana University, Bloomington

  • E.M. Reingold N. Charness R.S. Schultetus D.M. Stampe (2001a) ArticleTitlePerceptual Automaticity in Expert Chess Players: Parallel Enconding of Chess Relations Psychonomic Bulletin & Review 8 504–510

    Google Scholar 

  • E.M. Reingold N. Charness M. Pomplun D.M. Stampe (2001b) ArticleTitleVisual Span in Expert Chess Players: Evidence from Eye Movements Psychological Science 12 48–55 Occurrence Handle10.1111/1467-9280.00309

    Article  Google Scholar 

  • P. Saariluoma (1992) ArticleTitleError in Chess: Apperception Restructuring View Psychological Research 54 17–26 Occurrence Handle10.1007/BF01359219 Occurrence Handle1603886

    Article  PubMed  Google Scholar 

  • P. Saariluoma (1995) Chess Players’ Thinking Routledge London

    Google Scholar 

  • P. Saariluoma M. Hohlfeld (1994) ArticleTitleApperception in Chess Players Long-range Planning European Journal of Cognitive Psychology 6 1–22

    Google Scholar 

  • P. Saariluoma (2001) ArticleTitleChess and Content-oriented Psychology of Thinking Psicológica 22 143–164

    Google Scholar 

  • C.E. Shannon (1950a) ArticleTitleA Chess-playing Machine Scientific American 182 48–51

    Google Scholar 

  • C.E. Shannon (1950b) ArticleTitleProgramming a Computer for Playing Chess Philosophical Magazine 41 256–275

    Google Scholar 

  • H. Simon (1980) ArticleTitleCognitive Science: The Newest Science of the Artificial Cognitive Science 4 33–46 Occurrence Handle10.1016/S0364-0213(81)80003-1

    Article  Google Scholar 

  • Simon, H.A. (1995), ‘Explaining the Ineffable: AI on the Topics of Intuition, Insight, and Inspiration’, Paper presented at the proceedings of the fourteenth international joint conference in artificial intelligence

  • H.A. Simon W.G. Chase (1973) ArticleTitleSkill in Chess American Scientist 61 394–403

    Google Scholar 

  • H.A. Simon A. Newell (1958) ArticleTitleHeuristic Problem Solving: The Next Advance in Operations Research Operations Research 6 1–10

    Google Scholar 

  • Simon, H. and Schaeffer, J. (1992), ‘The Game of Chess’, in R. Aumann and S. Hart, eds., Handbook of Game Theory with Economic Applications, North Holland

  • Turing, A.M. (1953), ‘Chess. Digital Computers Applied to Games’, Bowden, ed., Faster than Thought, pp. 286–310

  • D. Wilkins (1980) ArticleTitleUsing Patterns and Plans in Chess Artificial Intelligence 14 165–203 Occurrence Handle10.1016/0004-3702(80)90039-9

    Article  Google Scholar 

  • F.-G. Winkler J. Fürnkranz (1997) On Effort in AI Research: A Description Along Two Dimensions R. Morris (Eds) Deep Blue Versus Kasparov: The Significance for Artificial Intelligence: Papers from the 1997 AAAI Workshop AAAI Press Providence 56–62

    Google Scholar 

  • F.-G. Winkler J. Fürnkranz (1998) ArticleTitleA Hypothesis on the Divergence of AI Research International Computer Chess Association Journal 21 3–13

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Alexandre Linhares.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Linhares, A. An Active Symbols Theory of Chess Intuition. Mind Mach 15, 131–181 (2005). https://doi.org/10.1007/s11023-005-5045-7

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11023-005-5045-7

Keywords

Navigation