, Volume 20, Issue 1, pp 5–16 | Cite as

Multiple Universes of Sets and Indeterminate Truth Values

  • Donald A. Martin


Continuum Hypothesis Definite Property Weak Concept Unique Isomorphism Strong Concept 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Balaguer, M.: ‘A Theory of Mathematical Correctness and Mathematical Truth’. To appear in Pacific Philosophical Quarterly.Google Scholar
  2. [2]
    Balaguer, M.: 1995, ‘A Platonist Epistemology’, Synthèse 103, 303–325.CrossRefGoogle Scholar
  3. [3]
    Field, H.: 1998, ‘Which Undecidable Mathematical Sentences Have Determinate Truth Value?’, in H. G. Dales and G. Oliveri (Eds.), Truth in Mathematics, Oxford, New York: Oxford University Press, pp. 29–310. Proceedings of a conference held in Mussomeli, Italy in September, 1995.Google Scholar
  4. [4]
    Gödel, K.: 1964, ‘What is Cantor's Continuum Hypothesis?’, in P. Benacerraf and H. Putnam (Eds.), Philosophy of Mathematics, Selected Readings, Englewood Cliffs, N.J.: Prentice Hall, pp. 258–273. Revised and expanded version of paper appearing in American Mathematical Monthly 54 (1947).Google Scholar
  5. [5]
    Zermelo, E.: 1930, ‘Ñber Grenzzahlen und Mengenbereiche: Neue Untersuchungen über die Grundlagen der Mengenlehre’, Fundamenta Mathematicae 16, 29–47.Google Scholar

Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • Donald A. Martin
    • 1
  1. 1.Dept. of MathematicsUniversity of CaliforniaLos AngelesU.S.A

Personalised recommendations