Extending the Language of Set Theory

Details Extending the Language of Set Theory Extending the Language of Set Theory

2005-04-19

arxiv.org/abs/math/0504375v1

Mathematics

Logic

11 pages, HTML, UTF-8 encoding

Scientific paper

We discuss the problems of incompleteness and inexpressibility. We introduce
almost self-referential formulas, use them to extend set theory, and relate
their expressive power to that of infinitary logic. We discuss the nature of
proper classes. Finally, we introduce and axiomatize a powerful extension to
set theory.

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