Abstract
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.
Publisher
Cambridge University Press (CUP)
Reference7 articles.
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