Skip to main content

2021 | OriginalPaper | Buchkapitel

Symbolic and Statistical Theories of Cognition: Towards Integrated Artificial Intelligence

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

There are two types of approaches to Artificial Intelligence, namely Symbolic AI and Statistical AI. The symbolic and statistical paradigms of cognition may be considered to be in conflict with each other; the recent debate between Chomsky and Norvig exemplifies a fundamental tension between the two paradigms (esp. on language), which is arguably in parallel with a conflict on interpretations of quantum theory as seen between Bohr and Einstein, one side arguing for the probabilist or empiricist view and the other for the universalist or rationalist view. In the present paper we explicate and articulate the fundamental discrepancy between them, and explore how a unifying theory could be developed to integrate them, and what sort of cognitive rôles Integrated AI could play in comparison with present-day AI. We give, inter alia, a classification of Integrated AI, and argue that Integrated AI serves the purpose of humanising AI in terms of making AI more verifiable, more explainable, more causally accountable, more ethical, and thus closer to general intelligence. We especially emphasise the ethical advantage of Integrated AI. We also briefly touch upon the Turing Test for Ethical AI, and the pluralistic nature of Turing-type Tests for Integrated AI. Overall, we believe that the integrated approach to cognition gives the key to the next generation paradigm for AI and Cognitive Science in general, and that Categorical Integrated AI or Categorical Integrative AI Robotics would be arguably the most promising approach to it.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Fußnoten
1
Statistical AI in this paper is meant to include Connectionist AI. Note that the MIT AI Lab is an origin of Embodied AI, too (see Rodney Brooks’ seminal paper [10]).
 
Literatur
2.
Zurück zum Zitat Akametalu, A.K., Kaynama, S., Fisac, J.F., Zeilinger, M.N., Gillula, J.H., Tomlin, C.J.: Reachability-based safe learning with Gaussian processes. In: Proceedings of CDC, pp. 1424–1431 (2014) Akametalu, A.K., Kaynama, S., Fisac, J.F., Zeilinger, M.N., Gillula, J.H., Tomlin, C.J.: Reachability-based safe learning with Gaussian processes. In: Proceedings of CDC, pp. 1424–1431 (2014)
3.
Zurück zum Zitat Asai, M.: Classical planning in deep latent space: bridging the subsymbolic-symbolic boundary. In: Proceedings of AAAI, pp. 6094–6101 (2018) Asai, M.: Classical planning in deep latent space: bridging the subsymbolic-symbolic boundary. In: Proceedings of AAAI, pp. 6094–6101 (2018)
4.
Zurück zum Zitat Bansal, K., Loos, S.M., Rabe, M.N., Szegedy, C., Wilcox, S.: HOList: an environment for machine learning of higher order logic theorem proving. In: Proceedings of ICML, pp. 454–463 (2019) Bansal, K., Loos, S.M., Rabe, M.N., Szegedy, C., Wilcox, S.: HOList: an environment for machine learning of higher order logic theorem proving. In: Proceedings of ICML, pp. 454–463 (2019)
5.
Zurück zum Zitat Baroni, M., et al.: Frege in space: a program of compositional distributional semantics. Linguist. Issues Lang. Technol. 9, 5–110 (2014) Baroni, M., et al.: Frege in space: a program of compositional distributional semantics. Linguist. Issues Lang. Technol. 9, 5–110 (2014)
6.
Zurück zum Zitat Bell, J.S.: Speakable and Unspeakable in Quantum Mechanics: Collected Papers on Quantum Philosophy. Cambridge University Press, Cambridge (2004)CrossRef Bell, J.S.: Speakable and Unspeakable in Quantum Mechanics: Collected Papers on Quantum Philosophy. Cambridge University Press, Cambridge (2004)CrossRef
8.
Zurück zum Zitat Bohm, D., Hiley, B.: The Undivided Universe: An Ontological Interpretation of Quantum Theory. Routledge Chapman & Hall, Abingdon (1993) Bohm, D., Hiley, B.: The Undivided Universe: An Ontological Interpretation of Quantum Theory. Routledge Chapman & Hall, Abingdon (1993)
9.
Zurück zum Zitat Born, M.: The Born Einstein Letters. Walker and Company, New York (1971) Born, M.: The Born Einstein Letters. Walker and Company, New York (1971)
10.
Zurück zum Zitat Brooks, R.: Intelligence without representation. Artif. Intell. 47, 139–159 (1991)CrossRef Brooks, R.: Intelligence without representation. Artif. Intell. 47, 139–159 (1991)CrossRef
11.
Zurück zum Zitat Caliskan, A., et al.: Semantics derived automatically from language corpora contain human-like biases. Science 356, 183–186 (2017)CrossRef Caliskan, A., et al.: Semantics derived automatically from language corpora contain human-like biases. Science 356, 183–186 (2017)CrossRef
12.
Zurück zum Zitat CDRS: Research and Development on the Fourth Generation of AI, Strategic Proposal, CRDS-FY2019-SP-08 (2019) CDRS: Research and Development on the Fourth Generation of AI, Strategic Proposal, CRDS-FY2019-SP-08 (2019)
13.
Zurück zum Zitat Chomsky, N.: Keynote panel: the golden age - a look at the original roots of artificial intelligence. In: Cognitive Science, and Neuroscience. Minds, and Machines, MIT Symposium on Brains (2011) Chomsky, N.: Keynote panel: the golden age - a look at the original roots of artificial intelligence. In: Cognitive Science, and Neuroscience. Minds, and Machines, MIT Symposium on Brains (2011)
14.
Zurück zum Zitat Coecke, B., et al.: Mathematical foundations for a compositional distributional model of meaning. Linguist. Anal. 36, 345–384 (2010) Coecke, B., et al.: Mathematical foundations for a compositional distributional model of meaning. Linguist. Anal. 36, 345–384 (2010)
15.
17.
Zurück zum Zitat Domingos, P., Lowd, D.: Unifying logical and statistical AI with Markov logic. Commun. ACM 62, 74–83 (2019)CrossRef Domingos, P., Lowd, D.: Unifying logical and statistical AI with Markov logic. Commun. ACM 62, 74–83 (2019)CrossRef
18.
Zurück zum Zitat Dummett, M.: The Interpretation of Frege’s Philosophy. Duckworth, London (1981) Dummett, M.: The Interpretation of Frege’s Philosophy. Duckworth, London (1981)
19.
Zurück zum Zitat Frege, G.: Compound thoughts. Mind 72, 1–17 (1963). Originally 1923CrossRef Frege, G.: Compound thoughts. Mind 72, 1–17 (1963). Originally 1923CrossRef
20.
Zurück zum Zitat Galison, P.: Image & Logic: A Material Culture of Microphysics. The University of Chicago Press, Chicago (1997) Galison, P.: Image & Logic: A Material Culture of Microphysics. The University of Chicago Press, Chicago (1997)
21.
Zurück zum Zitat Garcez, A., Gori, M., Lamb, L., Serafini, L., Spranger, M., Tran, S.: Neural-symbolic computing: an effective methodology for principled integration of machine learning and reasoning. arXiv:1905.06088 Garcez, A., Gori, M., Lamb, L., Serafini, L., Spranger, M., Tran, S.: Neural-symbolic computing: an effective methodology for principled integration of machine learning and reasoning. arXiv:​1905.​06088
22.
Zurück zum Zitat Gold, K.: Norvig vs. Chomsky and the Fight for the Future of AI. Tor.com, 21 June 2011 Gold, K.: Norvig vs. Chomsky and the Fight for the Future of AI. Tor.com, 21 June 2011
23.
Zurück zum Zitat Grefenstette, E., et al.: Experimental support for a categorical compositional distributional model of meaning. In: Proceedings of EMNLP 2011, pp. 1394–1404 (2011) Grefenstette, E., et al.: Experimental support for a categorical compositional distributional model of meaning. In: Proceedings of EMNLP 2011, pp. 1394–1404 (2011)
25.
Zurück zum Zitat Katz, Y.: Noam Chomsky on Where Artificial Intelligence Went Wrong. The Atlantic, 1 November 2012 Katz, Y.: Noam Chomsky on Where Artificial Intelligence Went Wrong. The Atlantic, 1 November 2012
26.
Zurück zum Zitat Lederman, G., Rabe, M.N., Lee, E.A., Seshia, S.A.: Learning heuristics for automated reasoning through deep reinforcement learning. arXiv:1807.08058 Lederman, G., Rabe, M.N., Lee, E.A., Seshia, S.A.: Learning heuristics for automated reasoning through deep reinforcement learning. arXiv:​1807.​08058
27.
Zurück zum Zitat Maruyama, Y.: Fundamental results for pointfree convex geometry. Ann. Pure Appl. Log. 161, 1486–1501 (2010)MathSciNetCrossRef Maruyama, Y.: Fundamental results for pointfree convex geometry. Ann. Pure Appl. Log. 161, 1486–1501 (2010)MathSciNetCrossRef
28.
31.
Zurück zum Zitat Maruyama, Y.: Categorical duality theory: with applications to domains, convexity, and the distribution monad. In: International Proceedings in Informatics, vol. 23, pp. 500–520. Leibniz (2013) Maruyama, Y.: Categorical duality theory: with applications to domains, convexity, and the distribution monad. In: International Proceedings in Informatics, vol. 23, pp. 500–520. Leibniz (2013)
35.
Zurück zum Zitat Maruyama, Y.: Meaning and duality: from categorical logic to quantum physics. D.Phil. thesis, University of Oxford (2017) Maruyama, Y.: Meaning and duality: from categorical logic to quantum physics. D.Phil. thesis, University of Oxford (2017)
36.
Zurück zum Zitat Maruyama, Y.: The dynamics of duality: a fresh look at the philosophy of duality. In: RIMS Kokyuroku (Proceedings of RIMS, Kyoto Univesity), vol. 2050, pp. 77–99 (2017) Maruyama, Y.: The dynamics of duality: a fresh look at the philosophy of duality. In: RIMS Kokyuroku (Proceedings of RIMS, Kyoto Univesity), vol. 2050, pp. 77–99 (2017)
37.
Zurück zum Zitat Maruyama, Y.: The frame problem, Gödelian incompleteness, and the Lucas-Penrose argument: a structural analysis of arguments about limits of AI, and its physical and metaphysical consequences. In: Müller, V.C. (ed.) PT-AI 2017. SAPERE, vol. 44, pp. 194–206. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-96448-5_19CrossRef Maruyama, Y.: The frame problem, Gödelian incompleteness, and the Lucas-Penrose argument: a structural analysis of arguments about limits of AI, and its physical and metaphysical consequences. In: Müller, V.C. (ed.) PT-AI 2017. SAPERE, vol. 44, pp. 194–206. Springer, Cham (2018). https://​doi.​org/​10.​1007/​978-3-319-96448-5_​19CrossRef
42.
Zurück zum Zitat Maruyama, Y.: The conditions of artificial general intelligence: logic, autonomy, resilience, integrity, morality, emotion, embodiment, and embeddedness. In: Goertzel, B., Panov, A.I., Potapov, A., Yampolskiy, R. (eds.) AGI 2020. LNCS (LNAI), vol. 12177, pp. 242–251. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-52152-3_25CrossRef Maruyama, Y.: The conditions of artificial general intelligence: logic, autonomy, resilience, integrity, morality, emotion, embodiment, and embeddedness. In: Goertzel, B., Panov, A.I., Potapov, A., Yampolskiy, R. (eds.) AGI 2020. LNCS (LNAI), vol. 12177, pp. 242–251. Springer, Cham (2020). https://​doi.​org/​10.​1007/​978-3-030-52152-3_​25CrossRef
43.
45.
Zurück zum Zitat Maruyama, Y.: Universal stone duality via the concept of topological dualizability and its applications to many-valued logic. In: Proceedings of FUZZ-IEEE. IEEE Computer Society (2020) Maruyama, Y.: Universal stone duality via the concept of topological dualizability and its applications to many-valued logic. In: Proceedings of FUZZ-IEEE. IEEE Computer Society (2020)
46.
Zurück zum Zitat Maxwell, J.C.: The Scientific Letters and Papers of James Clerk Maxwell: 1846–1862. Cambridge University Press, Cambridge (1990)MATH Maxwell, J.C.: The Scientific Letters and Papers of James Clerk Maxwell: 1846–1862. Cambridge University Press, Cambridge (1990)MATH
47.
Zurück zum Zitat McLear, C., Kant: philosophy of mind. In: Internet Encyclopedia of Philosophy. Accessed 2 Feb 2020 McLear, C., Kant: philosophy of mind. In: Internet Encyclopedia of Philosophy. Accessed 2 Feb 2020
48.
Zurück zum Zitat Minsky, M.L.: Logical versus analogical or symbolic versus connectionist or neat versus scruffy. AI Mag. 12, 34–51 (1991) Minsky, M.L.: Logical versus analogical or symbolic versus connectionist or neat versus scruffy. AI Mag. 12, 34–51 (1991)
51.
Zurück zum Zitat Paliwal, A., Loos, S.M., Rabe, M.N., Bansal, K., Szegedy, C.: Graph representations for higher-order logic and theorem proving. In: Proceedings of AAAI, pp. 2967–2974 (2020) Paliwal, A., Loos, S.M., Rabe, M.N., Bansal, K., Szegedy, C.: Graph representations for higher-order logic and theorem proving. In: Proceedings of AAAI, pp. 2967–2974 (2020)
54.
Zurück zum Zitat Turney, P., Pantel, P.: From frequency to meaning: vector space models of semantics. J. Artif. Intell. Res. 37, 141–188 (2010)MathSciNetCrossRef Turney, P., Pantel, P.: From frequency to meaning: vector space models of semantics. J. Artif. Intell. Res. 37, 141–188 (2010)MathSciNetCrossRef
Metadaten
Titel
Symbolic and Statistical Theories of Cognition: Towards Integrated Artificial Intelligence
verfasst von
Yoshihiro Maruyama
Copyright-Jahr
2021
DOI
https://doi.org/10.1007/978-3-030-67220-1_11

Premium Partner