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UID:/NewsandEvents/Archives/2021/newsitem/12999/28
---30-September-2021-Minisymposium-Large-cardinals
-Virtual-Passau-Austria-
DTSTAMP:20210925T153238
SUMMARY:Minisymposium "Large cardinals", Virtual (
Passau, Austria)
DTSTART;VALUE=DATE:20210928
DTEND;VALUE=DATE:20210930
LOCATION:Virtual (Passau, Austria)
DESCRIPTION:This minisymposium will be devoted to
recent developments in the theory of large cardina
ls, a central concept of contemporary set theory t
hat allows the measurement of the consistency stre
ngth of mathematical theories and the ordering of
these theories into a canonical hierarchy. Seminal
results show that large cardinal assumptions them
selves answer many important questions left open b
y the standard axiomatization of set theory and th
is leads many set theorists to think that these ax
ioms should be included in the correct axiomatizat
ion of mathematics. In the last fifty years, set t
heorists have developed a deep and canonical theor
y of large cardinals and, in recent years, breakth
rough results in vastly different regions of the l
arge cardinal hierarchy were obtained. The talks i
n our symposium will cover this wide spectrum of r
esearch, from virtual large cardinal axioms in the
lower reaches of this hierarchy all the way up to
axioms of infinity that contradict the Axiom of C
hoice.
X-ALT-DESC;FMTTYPE=text/html:\n This minisympo
sium will be devoted to recent developments in the
theory of large cardinals, a central concept of c
ontemporary set theory that allows the measurement
of the consistency strength of mathematical theor
ies and the ordering of these theories into a cano
nical hierarchy. Seminal results show that large c
ardinal assumptions themselves answer many importa
nt questions left open by the standard axiomatizat
ion of set theory and this leads many set theorist
s to think that these axioms should be included in
the correct axiomatization of mathematics. In the
last fifty years, set theorists have developed a
deep and canonical theory of large cardinals and,
in recent years, breakthrough results in vastly di
fferent regions of the large cardinal hierarchy we
re obtained. The talks in our symposium will cover
this wide spectrum of research, from virtual larg
e cardinal axioms in the lower reaches of this hie
rarchy all the way up to axioms of infinity that c
ontradict the Axiom of Choice.

\n
URL:https://www.uni-passau.de/en/dmv-oemg-jahresta
gung-2021/
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