new manuscript on conservative view of new axioms

martdowd at aol.com martdowd at aol.com
Sun Feb 19 21:03:21 EST 2023


FOM:

I have incorporated my arguments that CH is true in to a new manuscript,
  A Conservative Approach to Resolving Independent Questions
  https://www.researchgate.net/publication/368652244

Here's the abstract:

In recent set theory literature there is much advocacy for a liberal
approach to resolving questions of set theory, which are independent
of ZFC.  In this paper, a conservative approach is considered.
Specific questions may be considered, and hypotheses made,
based on known behavior of the cumulative hierarchy.
The following topics are considered:
the continuum hypothesis, diamond, indiscernibles, $\omega_1^L=\omega_1$,
$V=L$, standard model, inaccessible cardinals, larger cardinals.

Martin Dowd
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