Skip to main content
×
×
Home

Systems of predicative analysis, II: Representations of ordinals

  • Solomon Feferman (a1)
Extract

The eventual purpose of this paper is to provide certain specific representations of ordinals and develop their basic properties as needed for the proofs of the results announced in [3]. Since the choice of these representations is really intelligible only if the general principles involved are made explicit, we devote the first half of this paper (§§1 and 2) to such questions. The entire treatment is self-contained.

Copyright
References
Hide All
[1]Bachmann, H., Transfinite Zahlen, Springer-Verlag, Berlin, 1955, 204 pp.
[2]Crossley, J. N. and Parikh, R.. On isomorphisms of recursive well-orderings (abstract), this Journal, vol. 28 (1963), p. 308.
[3]Feferman, S., Systems of predicative analysis, this Journal, vol. 29 (1964), pp. 130.
[4]Feferman, S. and Spector, C., Incompleteness along paths in recursive progressions of theories, this Journal, vol. 27 (1962), pp. 383390.
[5]Gandy, R. O., Proof of Mostowski's conjecture, Bulletin de l'Academk Polonaise des Sciences, vol. 8 (1960), pp. 571575.
[6]Kreisel, G., Mathematical logic, pp. 95–195 in Lectures in modern mathematics, vol. III, Wiley, New York, 1965.
[7]Mitchell, B., Theory of categories, Academic Press, New York, 1965, 273 pp.
[8]Schütte, K., Beweistheorie, Springer-Verlag, Berlin, 1960, x + 355 pp.
[9]Schütte, K., Kennzeichnungen von Ordnungzahlen durch rekursiv erklärte Funktionen, Mathematische Annalen, vol. 127 (1954), pp. 1532.
[10]Schütte, K., Predicative well-orderings, pp. 279–302 in Formal systems and recursive functions, North-Holland, Amsterdam, 1965.
[11]Spector, C., Recursive well-orderings, this Journal, vol. 20 (1955), pp. 151163.
[12]Veblen, O., Continuous increasing functions of finite and transfinite ordinals, Transactions of the American Mathematical Society, vol. 9 (1908), pp. 280292.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

The Journal of Symbolic Logic
  • ISSN: 0022-4812
  • EISSN: 1943-5886
  • URL: /core/journals/journal-of-symbolic-logic
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed