Skip to main content
Log in

Plans, Affordances, And Combinatory Grammar

  • Published:
Linguistics and Philosophy Aims and scope Submit manuscript

Abstract

The idea that natural language grammar and planned action are relatedsystems has been implicit in psychological theory for more than acentury. However, formal theories in the two domains have tendedto look very different. This article argues that both faculties sharethe formal character of applicative systems based on operationscorresponding to the same two combinatory operations, namely functional composition and type-raising. Viewing them in thisway suggests simpler and more cognitively plausible accounts of bothsystems, and suggests that the language faculty evolved in the speciesand develops in children by a rather direct adaptation of a moreprimitive apparatus for planning purposive action in the world bycomposing affordances of objects or tools. Theknowledge representation that underlies such planning is alsoreflected in the natural language semantics of tense, mood, andaspect, which the paper begins by arguing provides the key tounderstanding both systems.

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

  • Ades, A. and M. Steedman: 1982, 'On the Order of Words', Linguistics and Philosophy 4, 517–558.

    Google Scholar 

  • Armelín, P. and D. Pym: 2001, 'Bunched Logic Programming', in Proceedings of IJCAR 2001, to appear.

  • Bach, E.: 1983, 'Generalized Categorial Grammars and the English Auxiliary', in F. Heny and B. Richards (eds.), Linguistic Categories: Auxiliaries and Related Puzzles, II, Reidel, Dordrecht, pp. 101–120.

    Google Scholar 

  • Barker, C.: 2001, 'Continuations and the Nature of Quantification', Linguistics and Philosophy, to appear.

  • Bibel, W., L. F. del Cerro, B. Fronhfer, and A. Herzig: 1989, 'Plan Generation by Linear Proofs: On Semantics', in German Workshop on Artificial Intelligence-GWAI'89, Vol. 216 of Informatik-Fachberichte, Springer Verlag, Berlin.

    Google Scholar 

  • Bruner, J.: 1968, Processes of Cognitive Growth: Infancy, Clark University Press, Worcester, MA.

    Google Scholar 

  • Bullowa, M.: 1979, Before Speech: The Beginning of Interpersonal Communication, Cambridge University Press, Cambridge.

    Google Scholar 

  • Caramazza, A. and A. Hillis: 1991, 'Lexical Organization of Nouns and Verbs in the Brain', Nature 349, 788–790.

    Google Scholar 

  • Cervesato, I., J. S. Hodas, and F. Pfenning: 1996, 'Efficient Resource Management for Linear Logic Proof Search', in R. Dyckhoff, H. Herre, and P. Schroeder-Heister (eds.), Proceedings of the 1996 Workshop on Extensions to Logic Programming, 1050 in Lecture Notes in Artificial Intelligence, Springer-Verlag, Berlin, pp. 67–82.

    Google Scholar 

  • Curry, H. B. and R. Feys: 1958, Combinatory Logic, Vol. I, North Holland, Amsterdam.

    Google Scholar 

  • de Laguna, G.: 1927, Speech: Its Function and Development, Yale University Press, New Haven, CT.

    Google Scholar 

  • Deacon, T.: 198, 'Human Brain Evolution-I: Evolution of Human Language Circuits', in H. Jerison and I. Jerison (eds.), Intelligence and Evolutionary Biology, Springer-Verlag, Berlin.

  • Deacon, T.: 1997, The Symbolic Species, Norton, New York.

    Google Scholar 

  • Diamond, A.: 1990, 'Developmental Time Course in Human Infant and Baby Monkeys and the Neural Bases of Inhibitory Control in Reaching', in A. Diamond (ed.), The Development and Neural Bases of Higher Cognitive Functions, New York Academy of Sciences, New York, pp. 637–676.

    Google Scholar 

  • Dowty, D.: 1972, Studies in the Logic of Verb Aspect and Time Reference in English, PhD thesis, University of Texas at Austin.

  • Dowty, D.: 1979, 'Dative Movement and Thomason's Extensions of Montague Grammar', in S. Davis and M. Mithun (eds.), Linguistics, Philosophy, and Montague Grammar, University of Texas Press, Austin, TX, pp. 153–222.

    Google Scholar 

  • Dowty, D.: 1988, 'Type-Raising, Functional Composition and Nonconstituent Coordination', in R. T. Oehrle, E. Bach, and D.Wheeler (eds.), Categorial Grammars and Natural Language Structures, Reidel, Dordrecht, pp. 153–198.

    Google Scholar 

  • Dowty, D.: 1996, 'Towards a Minimalist Theory of Syntactic Structure', in H. Bunt and A. van Horck (eds.), Discontinuous Constituency, Mouton de Gruyter, The Hague, pp. 11–62.

    Google Scholar 

  • Fikes, R. and N. Nilsson: 1971, 'Strips: A New Approach to the Application of Theorem Proving to Problem Solving', 2, 189–208.

    Google Scholar 

  • Gardner, R. A. and B. Gardner: 1969, 'Teaching Sign Language to a Chimpanzee', Science 165, 664–672.

    Google Scholar 

  • Gelfond, M. and V. Lifschitz: 1993, 'Representing Actions and Change by Logic Programs', Journal of Logic Programming 17, 301–321.

    Google Scholar 

  • Gibson, E. and E. Spelke: 1983, 'The Development of Perception', in P. Mussen (ed.), Handbook of Child Psychology, Vol. 3: Cognitive Development, Wiley, New York, pp. 1–76.

    Google Scholar 

  • Gibson, J.: 1950, The Perception of the Visual World, Houghton-Mifflin Co., Boston, MA.

    Google Scholar 

  • Gibson, J. 1966, The Senses Considered as Perceptual Systems, Houghton-Mifflin Co., Boston, MA.

    Google Scholar 

  • Gibson, J.: 1979, The Ecological Approach to Visual Perception, Houghton-Mifflin Co., Boston, MA.

    Google Scholar 

  • Girard, J.-Y.: 1987, 'Linear Logic', Theoretical Computer Science 50, 1–102.

    Google Scholar 

  • Girard, J.-Y.: 1995, 'Linear Logic: Its Syntax and Semantics', in J.-Y. Girard, Y. Lafont, and L. Regnier (eds.), Advances in Linear Logic, Vol. 222 of London Mathematical Society Lecture Notes, Cambridge University Press, Cambridge, pp. 1–42.

    Google Scholar 

  • Greenfield, P.: 1991, 'Language, Tools and Brain', Behavioral and Brain Sciences 14, 531–595.

    Google Scholar 

  • Greenfield, P., K. Nelson, and E. Saltzman: 1972, 'The Development of Rule-Bound Strategies for Manipulating Seriated Cups: A Parallel between Action and Grammar', Cognitive Psychology 3, 291–310.

    Google Scholar 

  • Hanks, S. and D. McDermot: 1986, 'Default Reasoning, Nonmonotonic Logics, and the Frame Problem', in Proceedings of the 8th National Conference on Artificial Intelligence (AAAI-86), pp. 328–333.

  • Harel, D.: 1984, 'Dynamic Logic', in D. Gabbay and F. Guenthner (eds.), Handbook of Philosophical Logic, Vol. II, Reidel, Dordrecht, pp. 497–604.

    Google Scholar 

  • Hoeksema, J.: 1991, 'Complex Predicates and Liberation in Dutch and English', Linguistics and Philosophy 14, 661–710.

    Google Scholar 

  • Hölldobler, S. and J. Sneeberger: 1990, 'A New Deductive Approach to Planning', New Generation Computing 8, 225–244.

    Google Scholar 

  • Japaridze, H.: 1998, The Logic of Resources and Tasks, PhD thesis, University of Pennsylvania.

  • Köhler, W.: 1925, The Mentality of Apes, Harcourt Brace and World, New York.

    Google Scholar 

  • Kowalski, R.: 1979, Logic for Problem Solving, North Holland, Amsterdam.

    Google Scholar 

  • Kowalski, R. and M. Sergot: 1986, 'A Logic-Based Calculus of Events', New Generation Computing 4, 67–95.

    Google Scholar 

  • Lakoff, G.: 1987, Women, Fire, and Dangerous Things, University of Chicago Press, Chicago.

    Google Scholar 

  • Lambek, J.: 1958, 'The Mathematics of Sentence Structure', American Mathematical Monthly 65, 154–170.

    Google Scholar 

  • Lashley, K.: 1951, 'The Problem of Serial Order in Behavior', in L. Jeffress (ed.), Cerebral Mechanisms in Behavior, Wiley, New York, pp. 112–136. Reprinted in Saporta (1961).

  • Lee, D.: 1980, 'The Optic Flow Field: The Foundation of Vision', Philosophical Transactions of the Royal Society, Series B 290, 169–179.

    Google Scholar 

  • Martí-Oliet, N. and J. Meseguer: 1999, 'Action and Change in Rewriting Logic', in R. Pareschi and B. Fronhöfer (eds.), Dynamic Worlds, Kluwer, Dordrecht, pp. 1–53.

    Google Scholar 

  • McCarthy, J. and P. Hayes: 1969, 'Some Philosophical Problems from the Standpoint of Artificial Intelligence', in B. Meltzer and D. Michie (eds.), Machine Intelligence, Vol. 4, Edinburgh University Press, Edinburgh, pp. 473–502.

    Google Scholar 

  • Miceli, G., M. Silveri, U. Nocentini, and A. Caramazza: 1988, 'Patterns of Dissociation in Comprehension and Production of Nouns and Verbs', Aphasiology 1, 351–358.

    Google Scholar 

  • Miceli, G., M. Silveri, G. Villa, and A. Caramazza: 1984, 'On the Basis for the Agrammatic's Difficulty in Producing Main Verbs', Cortex 20, 207–220.

    Google Scholar 

  • Miller, G., E. Galanter, and K. Pribram: 1960, Plans and the Structure of Behavior, Holt, London.

    Google Scholar 

  • Moens, M.: 1987, Tense Aspect, and Time Reference, Ph.D thesis, University of Edinburgh.

  • Moens, M. and M. Steedman: 1988, 'Temporal Ontology and Temporal Reference', Computational Linguistics 14, 15–28.

    Google Scholar 

  • Moortgat, M.: 1997, 'Categorial Type Logics', in J. van Benthem and A. ter Meulen (eds.), Handbook of Logic and Language, North Holland, Amsterdam, pp. 93–177.

    Google Scholar 

  • Muskens, R.: 1999, 'Underspecified Semantics', in K. von Heusinger and U. Egli (eds.), Reference and Anaphoric Relations, Kluwer Dordrecht, pp. 311–338.

    Google Scholar 

  • Narayanan, S.: 1997, 'Talking the Talk is Like Walking the Walk: A Computational Model of Verbal Aspect', in Proceedings of the Nineteenth Conference of the Cognitive Science Society, Stanford, August.

  • Narayanan, S.: 1999, 'Reasoning about Actions in Narrative Understanding', in Proceedings of the International Joint Conference on Artificial Intelligence, Stockolm, August, pp. 350–358.

  • Norman, D.: 1988, The Psychology of Everyday Things, Basic Books, New York.

    Google Scholar 

  • Norman, D.: 1999, 'Affordance Conventions, and Design', Interactions 6, 38–43.

    Google Scholar 

  • O'Hearn, P. and D. Pym: 1999, 'The Logic of Bunched Implications', Bulletin of Symbolic Logic 5, 215–244.

    Google Scholar 

  • Premack, D.: 1971, 'Language in the Chimpanzee?', Science 172, 808–822.

    Google Scholar 

  • Premack, D.: 1986, Gavagai!, MIT Press, Bradford Books, Cambridge, MA.

    Google Scholar 

  • Pym, D.: 1999, 'On Bunched Predicate Logic', in Proceedings of the 14th Symposium on Logic in Computer Science Science (LICS), IEEE Computer Society.

  • Pym, D.: 2001, The Semantics and Proof Theory of the Logic of Bunched Implications, to appear.

  • Rescorla, R. and A. Wagner: 1972, 'A Theory of Pavlovian Conditioning', in A. Black and W. Prokasy (eds.), Classical Conditioning, II, Appleton-Century-Crofts, New York.

    Google Scholar 

  • Rosenbaum, H.: 1977, 'Zapotec Gapping as Counterevidence to Some Universal Proposals', Linguistic Inquiry 8, 379–395.

    Google Scholar 

  • Ross, J. R.: 1970, 'Gapping and the Order of Constituents', in M. Bierwisch and K. Hedolph (eds.), Progress in Linguistics, Mouton, The Hague, pp. 249–259.

    Google Scholar 

  • Sandewall, E.: 1994, Features and Fluents, Clarendon Press, Oxford.

    Google Scholar 

  • Saporta, S.: 1961, Psycholinguistics: A Book of Readings, Hold Rinehart Winston, New York.

    Google Scholar 

  • Schoppers, M. J.: 1987, 'Universal Plans for Reactive Robots in Unpredictable Environments', in Proceedings of the 10th International Joint Conference on Artificial Intelligence (IJCAI 87), Milan, Italy, pp. 1039–1046.

  • Schubert, L.: 1994, 'Explanation Closure, Action Closure, and the Sandewall Test Suite for Reasoning about Change', Journal of Logic and Computation 4, 679–700.

    Google Scholar 

  • Shanahan, M.: 1997, Solving the Frame Problem, MIT Press, Cambridge.

    Google Scholar 

  • Shieber, S.: 1986, An Introduction to Unification-Based Approaches to Grammar, CSLI Publications, Stanford, CA.

    Google Scholar 

  • Smullyan, R.: 1985, To Mock a Mockingbird, Knopf, New York.

    Google Scholar 

  • Smullyan, R.: 1994, 'Dependency and Coordination the Grammar of Dutch and English', Language 61,523–568.

    Google Scholar 

  • Steedman, M.: 1987, 'Combinatory Grammars and Parasitic Gaps', Natural Language and Linguistic Theory 5, 403–439.

    Google Scholar 

  • Steedman, M.: 1990, 'Gapping as Constituent Coordination', Linguistics and Philosophy 13, 207–263.

    Google Scholar 

  • Steedman, M.: 1991, 'Structure and Intonation', Language 67, 262–296.

    Google Scholar 

  • Steedman, M.: 1995, 'Dynamic Semantics for Tense and Aspect', in Proceedings of the International Joint Conference on Artificial Intelligence, Quebec, Morgan Kaufmann, San Francisco, CA, pp. 1292–1298.

    Google Scholar 

  • Steedman, M.: 1996, Surface Structure and Interpretation, MIT Press, Cambridge, MA.

    Google Scholar 

  • Steedman, M.: 1997, 'Temporality', in J. van Benthem and A. ter Meulen (eds.), Handbook of Logic and Language, North Holland, Amsterdam, pp. 895–938.

    Google Scholar 

  • Steedman, M.: 2000a, The Syntactic Process, MIT Press, Cambridge, MA.

    Google Scholar 

  • Steedman, M.: 2000b, The Productions of Time, manuscript, University of Edinburgh, http://www.cogsci.ed.ac.uk/~steedman/.

  • Steedman, M.: 2002, 'Formalizing affordance', Proceedings of the 24th Annual Meeting of the Cognitive Science Society, Lawrence Erlbaum, Mahwah NJ (to appear).

    Google Scholar 

  • Thielscher, M.: 1998, 'Reasoning about Actions: Steady Versus Stabilizing State Constraints', Artificial Intelligence 104, 339–355.

    Google Scholar 

  • Thielscher, M.: 1999, 'From Situation Calculus to Fluent Calculus: State Update Axioms as a Solution to the Inferential Frame Problem', Artificial Intelligence 111, 277–299.

    Google Scholar 

  • Tomasello, M.: 1999, The Cultural Origins of Human Cognition, Harvard University Press, Cambridge, MA.

    Google Scholar 

  • Turvey, M.: 1990, 'Coordination', American Psychologist 45, 938–953.

    Google Scholar 

  • van Benthem, J.: 1991, Language in Action, North Holland, Amsterdam.

    Google Scholar 

  • van Oirsouw, R.: 1987, The Syntax of Coordination, Croom Helm, London.

    Google Scholar 

  • Vendler, Z.: 1967, Linguistics in Philosophy, Cornell University Press, Ithaca, NY.

    Google Scholar 

  • Verkuyl, H.: 1972, On the Compositional Nature of the Aspects, Vol. 15 of Foundations of Language Supplementary Series, Reidel, Dordrecht.

    Google Scholar 

  • Wood, M. M.: 1993, Categorial Grammar, Routledge, London.

    Google Scholar 

  • Young, R. and W. S. Morgan: 1987, The Navaho Language, University of New Mexico Press, Albuquerque, NM.

    Google Scholar 

  • Zwicky, A.: 1986, 'Concatenation and Liberation', in CLS 22: Papers from the General Session, Chicago Linguistic Society, University of Chicago, Chicago.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Steedman, M. Plans, Affordances, And Combinatory Grammar. Linguistics and Philosophy 25, 723–753 (2002). https://doi.org/10.1023/A:1020820000972

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1020820000972

Keywords

Navigation