Extending the Language of Set Theory

Dmytro Taranovsky

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Extending the Language of Set Theory

Dmytro Taranovsky

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Abstract

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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BibTeX RIS

Dmytro Taranovsky. 2016-12-19. Extending the Language of Set Theory. https://arxiv.org/abs/math/0504375

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