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Anomalies of Reduction

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Reduction in Science

Part of the book series: Synthese Library ((SYLI,volume 175))

Abstract

Rarely, if ever, does one find in the literature actual proofs of irreducibility of one theory to another. So for all we know, most theories could be reducible to each other, a situation which would deprive positive reducibility results of much of their interest.

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References

  • W. Balzer, J. D. Sneed, 1977/78 ‘Generalized net structures of empirical theories I’ and ‘II’, Studia Logica 36/37, pp.195–211 and 176–194.

    Google Scholar 

  • W. Balzer, C. U. Moulines, J. D. Sneed, 1983, The Structure of empirical science: local and global, 7th International Congress of Logic methodology and philosophy of science, Salzburg 1983, mimeographed.

    Google Scholar 

  • M. Bunge, ‘Is chemistry a branch of physics?’, Z. f. allg. Wissenschaftstheorie 1982, pp. 209–223.

    Google Scholar 

  • R. A. Eberle, 1971,‘Replacing one theory by another under preservation of a given feature’, Philosophy of Science 38, pp. 486–501.

    Article  Google Scholar 

  • S. Feferman, 1957, ‘Formal consistency proofs and interpre- tability of theories’, J.S.L. 22, p. 107.

    Google Scholar 

  • S. Feferman, 1960, ‘Arithmetization of metamathematics in a general setting’, Fund. Math. 49, pp. 35–92.

    Google Scholar 

  • S. Feferman, G. Kreisel, S. Orey, 1960, ‘1-consistency and faithful interpretations’, Arch.f.math.Logik u.Grundlagenf. 6, pp. 52–63.

    Article  Google Scholar 

  • P. Lindstrom, 1983, On faithful interpretability, Logic Colloquium 1983, Aachen, mimeographed.

    Google Scholar 

  • J. G. Kemeny, P. Oppenheim, 1956, ‘On reduction’, Philosophical Studies 7, pp. 6–19.

    Article  Google Scholar 

  • S. Orey, 1961, ‘Relative Interpretations’, Z.f.math. Logik u. Grundlagen d. Math. 7, pp. 146–153.

    Article  Google Scholar 

  • D. Mayr, 1976, ‘Investigations of the concept of reduction I’ Erkenntnis 10, pp. 275–294.

    Article  Google Scholar 

  • D. Mayr, 1981, ‘Investigations of the concept of reduction II’ Erkenntnis 16, pp. 109–129.

    Google Scholar 

  • D. Pearce, 1981, ‘Is there any theoretical justification for a non-statement view of theories?’, Synthese 46, pp. 1–39.

    Article  Google Scholar 

  • D. Pearce, 1982, ‘The structuralist concept of reduction’ Erkenntnis 18, pp. 307–333.

    Article  Google Scholar 

  • V. Rantala, 1978, ‘The old and the new logic of metascience’, Synthese 39, pp. 233–247.

    Article  Google Scholar 

  • V. Rantala, 1980, ‘On the logical basis of the structuralist philosophy of science’, Erkenntnis 15, pp.269–286.

    Article  Google Scholar 

  • E. Scheibe, 1973, ‘Die Erklarung der Keplerschen Gesetze durch Newtons Gravitationsgesetz’, in E. Scneibe, G. Sufimann (ed.), Einheit und Vielheit,Festschrift f. C.F. v. Weizsacker, pp. 98–118.

    Google Scholar 

  • E. Scheibe, 1981, ‘Eine Fallstudie zur Grenzfallbeziehung in der Quantenmechanik’, in J. Nitsch, J. Pfarr, E.-W. Stachow (ed.), Grundlagenprobleme der modernen Physik, Mannheim, pp. 258–269.

    Google Scholar 

  • E. Scheibe, 1983, ‘Two successor relations between theories’ Z. f. allg. Wissenschaftstheorie 14, pp. 68–80.

    Article  Google Scholar 

  • J. D. Sneed, 1971, The logical structure of mathematical physics,Dordrecht 1971.

    Book  Google Scholar 

  • W. Stegmiiller, 1973, Wissenschaf tstheorie? Bd. 11,2

    Google Scholar 

  • A. Tarski, A. Mostowski, R.M.Robinson, 1953, Undecidable Theories, Amsterdam.

    Google Scholar 

  • G. Vollmer, 1977, ‘Theoriendynamik und Ablosung einer Theorie durch eine bessere: Simulation statt Erklarung’, in G.Patzig, E.Scheibe, K.Wieland (ed.), Logik, Ethik, Theorie der Geisteswissenschaften, XI. Deutscher Kongress fur Philosophie, Gottingen 1975, Hamburg 1977, pp.493–499.

    Google Scholar 

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© 1984 D. Reidel Publishing Company, Dordrecht, Holland

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Hoering, W. (1984). Anomalies of Reduction. In: Balzer, W., Pearce, D.A., Schmidt, HJ. (eds) Reduction in Science. Synthese Library, vol 175. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6454-9_4

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  • DOI: https://doi.org/10.1007/978-94-009-6454-9_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-6456-3

  • Online ISBN: 978-94-009-6454-9

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