Nothing Special   »   [go: up one dir, main page]

Skip to main content
Log in

From absolute to local mathematics

  • Varia
  • Published:
Synthese Aims and scope Submit manuscript

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Bell, J. L.: 1977, Boolean- Valued Models and Independence Proofs in Set Theory, Oxford University Press.

  2. Bell, J. L.: 1981, ‘Category Theory and the Foundations of Mathematics’, British Journal for the Philosophy of Science 32, 349–358.

    Google Scholar 

  3. Bell, J. L.: 1982, ‘Categories, Toposes and Sets’, Synthese 51, 293–337.

    Google Scholar 

  4. Bell, J. L.: 1982, ‘Some Aspects of the Category of Subobjects of Constant Objects in a Topos’, Journal of Pure and Applied Algebra 24, 245–259.

    Google Scholar 

  5. Bell, J. L. and M. Machover: 1977, A Course in Mathematical Logic, North-Holland, Amsterdam.

    Google Scholar 

  6. Davis, M.: 1977, ‘A Relativity Principle in Quantum Mechanics’, International Journal of Theoretical Physics 16, 867–874.

    Google Scholar 

  7. Fourman, M. P.: 1977, ‘The Logic of Topoi’, in Barwise, J. (ed.), Handbook of Mathematical Logic, North-Holland, Amsterdam.

    Google Scholar 

  8. Fourman, M. P. and J. Hyland: 1979, ‘Sheaf Models for Analysis’, Applications of Sheaves, Lecture Notes in Mathematics 753, Springer-Verlag, Berlin.

    Google Scholar 

  9. Goldblatt, R.: 1979, Topoi, the Categorial Analysis of Logic, North-Holland, Amsterdam.

    Google Scholar 

  10. Johnstone, P. T.: 1977, Topos Theory, Academic Press, London.

    Google Scholar 

  11. Kock, A.: 1981, ‘Synthetic Differential Geometry’, London Math. Soc. Lecture Notes 51, Cambridge University Press, Cambridge, Mass.

    Google Scholar 

  12. Lawvere, F. W.: 1976, ‘Variable Quantities and Variable Structures in Topoi’, Algebra, Topology and Category Theory, A Collection of Papers in Honor of Samuel Eilenberg, Academic Press.

  13. Lawvere, F. W.: 1980, ‘Toward the Description in a Smooth Topos of the Dynamically Possible Motions and Deformations of a Continuous Body’, Cahiers de Topologie et Geometrie Differentielle 21, 377–392.

    Google Scholar 

  14. MacLane, S.: 1971, Categories for the Working Mathematician, Springer-Verlag, Berlin.

    Google Scholar 

  15. Skolem, Th.: 1981, ‘Some Remarks on Axiomatized Set Theory’, translation of original 1922 paper in From Frege to Gödel, Harvard University Press.

  16. Takeuti, G.: 1978, Two Applications of Logic to Mathematics, Part I: Boolean Valued Analysis, publications of the Math. Soc. of Japan 13, Iwanami and Princeton University Press, Tokyo and Princeton 1978.

    Google Scholar 

  17. Wigner, E. P.: 1960, ‘The Unreasonable Effectiveness of Mathematics in the Natural Sciences’, Commun. Pure & Appl. Math. 13, 1–14.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bell, J.L. From absolute to local mathematics. Synthese 69, 409–426 (1986). https://doi.org/10.1007/BF00413980

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00413980

Navigation