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CANTORIAN MODELS OF PREDICATIVE $\mathrm {NF}$
Published online by Cambridge University Press: 13 October 2022
Abstract
Tangled Type Theory was introduced by Randall Holmes in [3] as a new way of approaching the consistency problem for $\mathrm {NF}$ . Although the task of finding models for this theory is far from trivial (considering it is equiconsistent with $\mathrm {NF}$ ), ways of constructing models for certain fragments of it have been discovered. In this article, we present a simpler way of constructing models of predicative Tangled Type Theory and consequently of predicative $\mathrm {NF}$ . In these new models of predicative $\mathrm {NF}$ , the universe is well-orderable and equinumerous to the set of singletons.
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- © The Author(s), 2022. Published by Cambridge University Press on behalf of The Association for Symbolic Logic