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Semantic Analysis of some Variants of Anderson-like Ontological Proofs

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Abstract

The aim of this paper is to prove strong completeness theorems for several Anderson-like variants of Gödel’s theory wrt. classes of modal structures, in which: (i). 1st order terms order receive only rigid extensions in the constant objectual 1st order domain; (ii). 2nd order terms receive non-rigid extensions in preselected world-relative objectual domains of 2nd order and rigid intensions in the constant conceptual 2nd order domain.

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References

  1. ANDERSON, C.A., ‘Some Emendations of Gödel’s Ontological Proof’, Faith and Philosophy 7 (1990), 291–303.

    Google Scholar 

  2. ANDERSON, C.A., AND M. GETTINGS, ‘Gödel’s Ontological Proof Revisited’, in P. Hájek, (ed.), Gödel’96, Springer, Berlin, 1996, pp. 167–172.

    Google Scholar 

  3. CARNAP, R., Meaning and necessity, a study in semantics and modal logic, University of Chicago Press, Chicago, 1947.

    Google Scholar 

  4. CARNAP, R., ‘Replies and Systematic Expositions’, in P.A. Schilpp, (ed.), The Philosophy of Rudolf Carnap, vol. 11 of Library of Living Philosophers, Cambridge University Press, London, 1986, pp. 859–999.

    Google Scholar 

  5. Fitting, M.C., Types, Tableaus, and Gödel’s God, Kluwer Academic Publishers, Dordrecht/Boston/London, 2002.

    Google Scholar 

  6. GODEL, K., ‘Ontological proof’, in S. Feferman, J. W. Dawson Jr., W. Goldfarb, C. Parsons, and R.M. Solovay, (eds.), Kurt Godel Collected Works, vol. III, Oxford University Press, New York and Oxford, 1995, pp. 403–404.

    Google Scholar 

  7. HÁJEK, P., ‘Magari and others on Gödel’s ontological proof’, in A. Ursini and P. Agliano, (eds.), Logic and Algebra, Marcel Dekker, Inc., 1996, pp. 125–135.

  8. HÁJEK, P., ‘A new small emandation of Gödel’s ontological proof’, Studia Logica 71 (2002), 149–164.

    Article  Google Scholar 

  9. HÁJEK, P., ‘Der Mathematiker und die Frage der Existenz Gottes’, in B. Buld et al., (eds.), Kurt Godel – Wahrheit und Beweisbarkeit II, ÖBV et HPT, Wien, 2002, pp. 325–335.

  10. HUGHES, G. E., and M. J. CRESSWELL, An Introduction to Modal Logic, London, 1968.

  11. LAMBERT, K., ‘Free logic and the concept of existence’, Notre Dame Journal of Formal Logic 8 (1976), 133–144.

    Google Scholar 

  12. PERZANOWSKI, J., ‘Ontological Arguments II: Cartesian and Leibnizian’, in H. Burkhardt and B. Smith, (eds.), Handbook of Metaphysics and Ontology, vol. II, Philosophia, Munich/Philadelphia/Vienna, 1991, pp. 625–633.

    Google Scholar 

  13. SOBEL, J.H., ‘Gödel’s Ontological Argument’, in J. J. Thomson, (ed.), On Being and Saying: essays for Richard Cartwright, MIT Press, Cambridge MA, 1987, pp. 241–261.

    Google Scholar 

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  1. Rudolf-von-Hirsch, Str. 27, 82152, Krailling, Germany

    Miroslaw Szatkowski

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  1. Miroslaw Szatkowski
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Szatkowski, M. Semantic Analysis of some Variants of Anderson-like Ontological Proofs. Stud Logica 79, 317–355 (2005). https://doi.org/10.1007/s11225-005-3610-y

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