Burgess on Plural Logic and Set Theory

@inproceedings{Linnebo2006BurgessOP,
  title={Burgess on Plural Logic and Set Theory},
  author={\Oystein Linnebo},
  year={2006}
}
John Burgess (Burgess, 2004) combines plural logic and a new version of the idea of limitation of size to give an elegant motivation of the axioms of ZFC set theory. His proposal is meant to improve on earlier work by Paul Bernays in two ways. I argue that both attempted improvements fail. John Burgess (Burgess, 2004) combines plural logic and a new version of the idea of limitation of size to give an elegant motivation of the axioms of ZFC set theory. He proposes that some things form a set… CONTINUE READING

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References

Publications referenced by this paper.
Showing 1-10 of 12 references

On the Problem of Schemata of Infinity in Axiomatic Set Theory

  • P. Bernays
  • Müller, G., editor, Set and Classes: On the Work…
  • 1976
Highly Influential
7 Excerpts

Fixing Frege

  • J. P. Burgess
  • Princeton University Press, Princeton, NJ.
  • 2005
1 Excerpt

E Pluribus Unum: Plural Logic and Set Theory

  • J. P. Burgess
  • Philosophia Mathematica, 12(3):193–221.
  • 2004
3 Excerpts

Logic, Logic, and Logic

  • G. Boolos
  • Harvard University Press, Cambridge, MA.
  • 1998

Sets, Wholes, and Limited Pluralities

  • S. Pollard
  • Philosophia Mathematica, 4:42–58.
  • 1996
1 Excerpt

Nominalist Platonism

  • G. Boolos
  • Philosophical Review, 94(3):327–344. Reprinted in…
  • 1985
1 Excerpt

To Be is to Be a Value of a Variable (or to Be Some Values of Some Variables)

  • G. Boolos
  • Journal of Philosophy, 81(8):430–449. Reprinted…
  • 1984
1 Excerpt

Mathematics in Philosophy

  • C. Parsons
  • Cornell University Press, Ithaca, NY.
  • 1983

Philosophy of Mathematics: Selected Readings, Cambridge

  • P. Benacerraf, H. Putnam
  • 1983

Sets and Classes

  • C. Parsons
  • Noûs, 8:1–12. Reprinted in Parsons, 1983.
  • 1974
1 Excerpt

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