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pro vyhledávání: '"Inaccessible cardinal"'
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Autor:
Athanassios Tzouvaras
We examine what happens if we replace ZFC with a localistic/relativistic system, LZFC, whose central new axiom, denoted by $Loc({\rm ZFC})$, says that every set belongs to a transitive model of ZFC. LZFC consists of $Loc({\rm ZFC})$ plus some element
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::01ac855b660ff8cab96783da2fcf4d24
Autor:
Marion Scheepers
Publikováno v:
Topology and its Applications. 258:229-238
We show that it is consistent, relative to the consistency of a strongly inaccessible cardinal, that an instance of the generalized Borel Conjecture introduced in [6] holds while the classical Borel Conjecture fails.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::20026a81d44d7efeec4380da7e6ecc95
https://doi.org/10.1016/j.topol.2019.02.058
https://doi.org/10.1016/j.topol.2019.02.058
Autor:
Trevor M. Wilson
Publikováno v:
Archive for Mathematical Logic. 58:841-856
We define a generic Vopěnka cardinal to be an inaccessible cardinal $\kappa$ such that for every first-order language $\mathcal{L}$ of cardinality less than $\kappa$ and every set $\mathscr{B}$ of $\mathcal{L}$-structures, if $|\mathscr{B}| = \kappa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::10753703a7adbd1252e012f3fe649b72
https://doi.org/10.1007/s00153-019-00662-1
https://doi.org/10.1007/s00153-019-00662-1
Autor:
Elena Men’kova, Jaykov Foukzon
Publikováno v:
Advances in Pure Mathematics. :685-744
In this article we proved so-called strong reflection principles corresponding to formal theories Th which has omega-models or nonstandard model with standard part. A possible generalization of Lob’s theorem is considered. Main results are: 1) , 2)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d1f2d866b863ce27d3946a6a3dbe144e
https://doi.org/10.4236/apm.2019.99034
https://doi.org/10.4236/apm.2019.99034
Autor:
Schmerl, James H.
Publikováno v:
Transactions of the American Mathematical Society, 1974 Feb 01. 188, 281-291.
Externí odkaz:
https://www.jstor.org/stable/1996779
Autor:
Fodor, Géza, Máté, Attila
Publikováno v:
Transactions of the American Mathematical Society, 1973 Jan 01. 175, 69-99.
Externí odkaz:
https://www.jstor.org/stable/1996069
Autor:
Kleinberg, E. M.
Publikováno v:
Proceedings of the American Mathematical Society, 1971 Oct 01. 30(2), 371-374.
Externí odkaz:
https://www.jstor.org/stable/2038284
Autor:
Sandra Müller, Grigor Sargsyan
We analyze the hereditarily ordinal definable sets $\operatorname{HOD}$ in $M_n(x)[g]$ for a Turing cone of reals $x$, where $M_n(x)$ is the canonical inner model with $n$ Woodin cardinals build over $x$ and $g$ is generic over $M_n(x)$ for the L\'ev
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3c02920ff5fc3aebaca02e2b1235e4ca
https://doi.org/10.1017/jsl.2021.61
https://doi.org/10.1017/jsl.2021.61
Autor:
Saharon Shelah, Shimon Garti
We prove that, consistently, there exists a weakly but not strongly inaccessible cardinal $\lambda$ for which the sequence $\langle 2^\theta:\theta
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb5866215d59cd54fb9972766579fead
http://arxiv.org/abs/2002.03573
http://arxiv.org/abs/2002.03573