Skip to main content

Conceptual Limitations

  • Chapter
  • First Online:
Limits of AI - theoretical, practical, ethical

Part of the book series: Technik im Fokus ((TECHNIK))

  • 77 Accesses

Abstract

If the Turing test would be used as benchmark for the successful implementation of artificial intelligence, statistics-based AI is in a dilemma—at least as long as it is still operating in the in black box mode. This is because one only need to follow up on a question, which can be answered as well as possible by the AI, with the next question: “Why?”.

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

Access this chapter

eBook
USD 19.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 16.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    It is something else that AI can, of course, “memorize” an argument if the very same question was already answered in the learning data; ChatGPT makes use of this possibility, when it recourse to its enormous learning data.

  2. 2.

    This disadvantage is accepted, on the one hand, because the program creation in the AI learning process is faster and, above all, is done by the computer itself and no longer requires a trained computer scientist. On the other hand, it is possible to tackle problems whose external complexity does not allow direct programming.

  3. 3.

    Christian Thiel [14] discusses Artin’s board as a paradigmatic example of creativity. On the notion of structure that comes into play here, see [15].

  4. 4.

    Historically, the example of the mutilated chessboard can be traced back to Max Black who posed it in 1946 as a problem in his book Critical Thinking [16, exercise 6, p. 142] (but starting off with the chess board, thus, leaving out the creative part of adding this structure as a first step). It is also reported that Emil Artin occasionally used this example in his lectures (see [15, 17]); it might well be that he took it from Black (or some other later source), but it was stressed in a obituary for Artin that he applied the idea of the solution within his mathematical activity, as he had “the very rare ability to detect, in seemingly highly complex issues, simple and transparent structures” [18, p. 39].

References

  1. Gottschlich, J.; Solar-Lzama, A.; Tatbul, N.; Carbin, M.; Rinard, M.; Barzilay, R.; Amarasinghe, S.; Tenenbaum, J.B.; Mattson, T. (2018), The three pillars of machine learning, in: arXiv:1803.07244v2 [cs.AI] 8 May.

  2. Ellis, K.; Ritchie, D.; Solar-Lezama, A.; Tenenbaum, J.B. (2017), Learning to Infer graphics programs from hand-drawn images, in: CoRR abs/1707.09627.arXiv:1707.09627.

  3. S. A. Cook (1971), The complexity of theorem-proving procedures, in: Proceedings of the 3rd Annual ACM Symposium on Theory of Computing, 151–158.

    Google Scholar 

  4. Küchlin, W. (2021), Symbolische KI für die Produktkonfiguration in der Automobilindustrie, in: K. Mainzer (HRSG.), Philosophisches Handbuch der Künstlichen Intelligenz, Springer: Berlin.

    Google Scholar 

  5. Ehlers, R. (2017), Formal verification of piece-wise linear feed-forward neural networks. arXiv:1705.01320v3 [cs.LO] 2 Aug 2017.

  6. Coquand, T. and Huet, G. (1988), The calculus of constructions. in: Information and Computation 76(2–3), 95–120.

    Article  MathSciNet  Google Scholar 

  7. Bertot, Y. and Castéran, P. (2004), Interactive Theorem Proving and Program Development: Coq‘Art: CiC (Springer).

    Google Scholar 

  8. Mainzer, K. (2021), Proof and Computation: Perspectives for Mathematics, Computer Science, and Philosophy, in: K. Mainzer, P. Schuster, H. Schwichtenberg (Eds.), Proof and Computation II, World Scientific Singapore, 2–32.

    Google Scholar 

  9. Gonthier, G. (2008): Formal Proof—The Four-Color Theorem, in: Notices of the American Mathematical Society 55 (11), 1382–1393.

    MathSciNet  Google Scholar 

  10. Obituary of Vladimir Voevodsky 1966–2017, Institute for Advanced Study October 4, 2017, 2.

    Google Scholar 

  11. Weyl, H. (1921), Über die neue Grundlagenkrise der Mathematik, in: Mathematische Zeitschrift 10 1921, 39–79.

    Article  Google Scholar 

  12. Russell, B. (1908): Mathematical logic as based on the theory of types, in: American Journal of Mathematics 30, 222–262.

    Article  MathSciNet  Google Scholar 

  13. Born, M. (1975), Mein Leben. Nymphenburger Verlagshandlung.

    Google Scholar 

  14. Thiel, C. (2006), Kreativität in der mathematischen Grundlagenforschung, in G. Abel (Ed.), Kreativität, 360–375. Hamburg. Kolloquienbeträge vom XX. Deutschen Kongress für Philosophie, 26.–30. September 2005 an der Technischen Universität Berlin.

    Google Scholar 

  15. Kahle, R. (2018), Structure and Structures, in: Mario Piazza and Gabriele Pulcini (Eds.): Truth, Existence and Explanation. Boston Studies in the Philosophy and History of Science, vol. 334, 109–120. Springer.

    Google Scholar 

  16. Black, M. (1946), Critical Thinking. Prentice-Hall, 1946.

    Google Scholar 

  17. Thomas von Randow alias Zweistein (1963). Logelei. In: Die Zeit, Ausgabe 31, 2. August 1963. http://www.zeit.de/1963/31/logelei.

  18. Reich, K. (2006), Große Forschung, Große Lehre: Emil Artin, in: Der Präsident der Universität Hamburg (ed.), Zum Gedenken an Emil Artin (1898–1962), vol. 9 Hamburger Universitätsreden. Neue Folge, 17–41. Hamburg University Press.

    Google Scholar 

  19. Hilbert, D. (1918), Axiomatisches Denken. In: Mathematische Annalen, 78(3/4):405–415, 1918. Vortrag vom 11. September 1917 gehalten vor der Schweizerischen Mathematischen Gesellschaft.

    Google Scholar 

  20. Mainzer, K. (2019), Artificial Intelligence. When do machines take over? Springer: Berlin 2nd edition.

    Google Scholar 

  21. Kant I (1900 ff.) Edition of Prussian Academy of Sciences. Berlin, AA IV, 421: “Handle nur nach derjenigen Maxime, durch die du zugleich woollen kannst, dass sie ein allgemeines Gesetz werde.”

    Google Scholar 

  22. New rules for Artificial Intelligence – Questions and Answers (21. April 2021) (https://ec.europa.eu/commission/presscorner/detail/de/QANDA_21_1683).

  23. Artificial Intelligence Standardization Roadmap Normungsroadmap (Eds. W. Wahlster, C. Winterhalter) (2020), DIN Berlin (https://www.dke.de/de/arbeitsfelder/core-safety/normungsroadmap-ki).

  24. Planning Outline for the Construction for a Social Credit System (2014–2020). China Copyright and Media. 14. Juni 2014 (wordpress.com).

    Google Scholar 

  25. Hart, H.L. (1968), Punishment and Responsibility. Essays in the Philosophy of Law, Oxford.

    Google Scholar 

  26. Baumgartner, H.M.; Eser, A. (Hrsg.) (1983), Schuld und Verantwortung: philosophische und juristische Beiträge zur Zurechenbarkeit menschlichen Handelns, Tübingen, 136.

    Google Scholar 

  27. Zech, H. (2012), Information als Schutzgegenstand. Tübingen.

    Google Scholar 

  28. Mainzer K (2016) Information: Algorithmus-Wahrscheinlichkeit-Komplexität-Quantenwelt-Leben-Gehirn-Gesellschaft. Berlin.

    Google Scholar 

  29. acatech (Hrsg.) (2021), Verantwortung in Unternehmen und Institutionen. Analysen und Empfehlungen für eine nachhaltige Technikentwicklung. acatech- Positionspapier, München/Berlin.

    Google Scholar 

  30. Jonas, H. (1979), The Imperative of Responsibility. In Search of Ethics for the Technological Age, University of Chicago Press.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Klaus Mainzer .

Rights and permissions

Reprints and permissions

Copyright information

© 2024 Springer-Verlag GmbH Germany, part of Springer Nature

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Mainzer, K., Kahle, R. (2024). Conceptual Limitations. In: Limits of AI - theoretical, practical, ethical . Technik im Fokus. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-68290-6_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-68290-6_4

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-68289-0

  • Online ISBN: 978-3-662-68290-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics