Linked bibliography for the SEP article "Model Theory" by Wilfrid Hodges

This is an automatically generated and experimental page

If everything goes well, this page should display the bibliography of the aforementioned article as it appears in the Stanford Encyclopedia of Philosophy, but with links added to PhilPapers records and Google Scholar for your convenience. Some bibliographies are not going to be represented correctly or fully up to date. In general, bibliographies of recent works are going to be much better linked than bibliographies of primary literature and older works. Entries with PhilPapers records have links on their titles. A green link indicates that the item is available online at least partially.

This experiment has been authorized by the editors of the Stanford Encyclopedia of Philosophy. The original article and bibliography can be found here.

Introductory texts

  • Doets, K., 1996, Basic Model Theory, Stanford: CSLI Publications. (Scholar)
  • Hodges, W., 1997, A Shorter Model Theory, Cambridge: Cambridge University Press. (Scholar)
  • Manzano, M., 1999, Model Theory, Oxford: Oxford University Press. (Scholar)
  • Rothmaler, P., 2000, Introduction to Model Theory, Amsterdam: Gordon and Breach. (Scholar)

Model-theoretic definition

  • Frege, G., 1906, “Grundlagen der Geometrie”, Jahresbericht der deutschen Mathematikervereinigung, 15: 293–309, 377–403, 423–430. (Scholar)
  • Gergonne, J., 1818, “Essai sur la théorie de la définition”, Annales de Mathématiques Pures et Appliquées, 9: 1–35. (Scholar)
  • Hilbert, D., 1899, Grundlagen der Geometrie, Leipzig: Teubner. (Scholar)
  • Hodges, W., 2008, “Tarski's theory of definition”, in Patterson, D. New Essays on Tarski and Philosophy, Oxford: Oxford University Press, pp. 94–132. (Scholar)
  • Lascar, D., 1998, “Perspective historique sur les rapports entre la théorie des modèles et l'algèbre”, Revue d'histoire des mathématiques, 4: 237–260. (Scholar)
  • Mancosu, P., Zach, R. and Badesa, C., 2009, “The development of mathematical logic from Russell to Tarski”, in L. Haaparanta (ed.), The Development of Modern Logic, Oxford: Oxford University Press, pp. 318–470. (Scholar)
  • Pasch, M., 1882, Vorlesungen über Neuere Geometrie, Berlin: Springer-Verlag. (Scholar)
  • Robinson, A., 1952, “On the application of symbolic logic to algebra”, Proceedings of the International Congress of Mathematicians (Cambridge, MA, 1950, Volume 1), Providence, RI: American Mathematical Society, pp. 686–694. (Scholar)
  • Suppes, P., 1957, “Theory of definition” in Introduction to Logic (Chapter 8), Princeton, NJ: Van Nostrand. (Scholar)
  • Tarski, A., 1954, “Contributions to the theory of models, I”, Indagationes Mathematicae, 16: 572–581. (Scholar)

Model-theoretic consequence

Expressive strength

  • Cutland, N., 2009, Nonstandard Analysis and its Applications, Cambridge: Cambridge University Press. (Scholar)
  • Ebbinghaus, H.-D., and Flum, J., 1999, Finite Model Theory, Berlin: Springer-Verlag. (Scholar)
  • Ebbinghaus, H.-D., Flum, J. and Thomas, W., 1984, Mathematical Logic, New York: Springer-Verlag. (Scholar)
  • Fleuriot, J., 2001, A Combination of Geometry Theorem Proving and Nonstandard Analysis, with Application to Newton's Principia, New York: Springer-Verlag. (Scholar)
  • Immerman, N., 1999, Descriptive Complexity, New York: Springer-Verlag. (Scholar)
  • Libkin, L., 2004, Elements of Finite Model Theory, Berlin: Springer-Verlag. (Scholar)
  • Loeb, P. and Wolff, M. (eds.), 2000, Nonstandard Analysis for the Working Mathematician, Dordrecht: Kluwer. (Scholar)
  • Robinson, A., 1967, “The metaphysics of the calculus”, in Problems in the Philosophy of Mathematics, I. Lakatos (ed.), Amsterdam : North-Holland, pp. 28-40. (Scholar)

Models and modelling

  • Allwein, G. and Barwise, J. (eds.), 1996, Logical Reasoning with Diagrams, New York: Oxford University Press. (Scholar)
  • Börger, E. and Stärk, R., 2003, Abstract State Machines: A Method for High-Level System Design and Analysis, Berlin: Springer-Verlag. (Scholar)
  • Fowler, M., 2000, UML Distilled, Boston: Addison-Wesley. (Scholar)
  • Garnham, A., 2001, Mental Models and the Interpretation of Anaphora, Philadelphia: Taylor and Francis. (Scholar)
  • Gentner, D. and Stevens, A. (eds.), 1983, Mental Models, Hillsdale, NJ: Lawrence Erlbaum. (Scholar)
  • Johnson-Laird, P., 1983, Mental Models: Towards a cognitive science of language, inference, and consciousness, Cambridge: Cambridge University Press. (Scholar)
  • Meijers, A. (ed.), 2009, Philosophy of Technology and Engineering Sciences, Amsterdam: Elsevier; see chapters W. Hodges, “Functional modelling and mathematical models”; R. Müller, “The notion of a model, theories of models and history”; and N. Nersessian, “Model based reasoning in interdisciplinary engineering”. (Scholar)
  • Moktefi, A. and Shin, S.-J. (eds.), 2013, Visual Reasoning with Diagrams, Basel: Birkhäuser. (Scholar)
  • Morgan, M. S. and Morrison, M. (eds.), 1999, Models as Mediators, Cambridge: Cambridge University Press. (Scholar)
  • Pullum, G. K. and Scholz, B. C., 2001, “On the distinction between model-theoretic and generative-enumerative syntactic frameworks”, in Logical Aspects of Computational Linguistics (Lecture Notes in Computer Science: Volume 2099), P. De Groote et al. (eds.), Berlin: Springer-Verlag, pp. 17-43. (Scholar)
  • Stenning, K., 2002, Seeing Reason, Oxford: Oxford University Press. (Scholar)
  • Suppes, P., 1969, Studies in the Methodology and Foundations of Science, Dordrecht: Reidel. (Scholar)

Generated Sun Mar 26 08:29:32 2017