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Searching for the Unity of Science: From Classical Logic to Abductive Logical Systems

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Otto Neurath and the Unity of Science

Part of the book series: Logic, Epistemology, and the Unity of Science ((LEUS,volume 18))

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Abstract

From an informational point of view, an inference or argumentation can be considered as a finite sequence of sentences of a language, not arbitrarily ordered, for which one may distinguish an initial group of sentences called premises, followed by another sentence called conclusion. The set of premises (or set of reasons) may be empty, but the conclusion has to be present.

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Notes

  1. 1.

    Lisbon Colloquium for the Philosophy of Science October 25–28th

References

  • Aliseda, A. (2006). Abductive Reasoning. Logical Investigations into Discovery and Explanation. Synthese Library/vol. 330. Dordrecht: Springer.

    Google Scholar 

  • Corcoran, J. (1999). Information-theoretic logic and transformation-theoretic logic. In Ram, M. (ed), Fragments of Science: Festschrift for Mendel Sachs, pp. 25–35. River Edge, NJ: World Scientific Publishing Co.

    Google Scholar 

  • Hempel, C. (1965). Aspects of Scientific Explanation and Other Essays in the Philosophy of Science. New York, NY: The Free Press.

    Google Scholar 

  • Hintikka, J. (1998). What is abduction? The fundamental problem of contemporary epistemology, Transactions of the Charles S. Peirce Society, 34(3), 503–533.

    Google Scholar 

  • Kakas, A., Kowalski, R., Toni, F. (1998). The role of abduction in logic programming. In Handbook of Logic in Artificial Intelligence and Logic Programming, pp. 235–324. Oxford: Oxford University Press.

    Google Scholar 

  • Konolige, K. (1996). Abductive theories in artificial intelligence. In Brewka, G. (ed), Principles of Knowledge Representation, pp. 129–152. Stanford, CA: CSLI Publications.

    Google Scholar 

  • Lobo, J., Uzcategui, C. (1997). Abductive consequence relations, Artificial Intelligence, 89, 149–171.

    Article  Google Scholar 

  • Makinson, D. (2005). Bridges from Classical to Nonmonotonic Logic. London: King’s College.

    Google Scholar 

  • Mayer, M. C., Pirri, F. (1993). First order abduction via tableau and sequent calculi, Bulletin of the IGPL 1, 99–117.

    Article  Google Scholar 

  • Nepomuceno, A. (2002). Scientific explanation and modified semantic tableaux. In Magnani, L., Nerssessian, N., Pizzi C. (eds), Logical and Computational Aspects of Model-Based Reasoning, pp. 181–198. Applied Logic Series. Dordrecht: Kluwer Academic Publishers.

    Google Scholar 

  • Nepomuceno, A. (2007). Information and logic. In Proceedings of Symposium in Honour of John Corcoran. Spain: Universidad de Santiago de Compostela.

    Google Scholar 

  • Peirce, C. S. (1931–1935). Collected Papers of Charles Sanders Peirce, 1–6 vols. In Hartshorne, C., Weiss, P. (eds), Cambridge: Harvard University Press; and vols. 7–8, edited by A. W. Burks, Cambridge, Harvard University Press.

    Google Scholar 

  • Schroeder-Heister, P., Dośen, K. (eds), (1999). Substructural Logics. Oxford: Oxford Science Publications.

    Google Scholar 

  • Soler-Toscano, F., Nepomuceno-Fernández, A., Aliseda-Llera, A. (2006). Model based abduction via dual resolution, Logic Journal of the IGPL 14(2), 305–319.

    Article  Google Scholar 

  • Thagard, P. (1988). Computational Philosophy of Science. Cambridge, MA: The MIT Press.

    Google Scholar 

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Correspondence to Ángel Nepomuceno .

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Nepomuceno, Á., Soler, F., Aliseda, A. (2011). Searching for the Unity of Science: From Classical Logic to Abductive Logical Systems. In: Symons, J., Pombo, O., Torres, J. (eds) Otto Neurath and the Unity of Science. Logic, Epistemology, and the Unity of Science, vol 18. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0143-4_15

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