In set theory, a branch of mathematics, a Reinhardt cardinal is a kind of large cardinal. Reinhardt cardinals are considered under ZF (Zermelo–Fraenkel set theory without the Axiom of Choice), because they are inconsistent with ZFC (ZF with the Axiom of Choice). They were suggested (Reinhardt 1967, 1974) by American mathematician William Nelson Reinhardt (1939–1998).
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In set theory, a branch of mathematics, a Reinhardtcardinal is a kind of large cardinal. Reinhardtcardinals are considered under ZF (Zermelo–Fraenkel...
Reinhardt may refer to: Reinhardt University, Waleska, Georgia, USA Reinhardtcardinal, a kind of large cardinalReinhardt (surname) Reinhardt Kristensen...
the axiom of choice). Reinhardtcardinal, Berkeley cardinal Drake, F. R. (1974). Set Theory: An Introduction to Large Cardinals (Studies in Logic and...
extendible cardinals are large cardinals introduced by Reinhardt (1974), who was partly motivated by reflection principles. Intuitively, such a cardinal represents...
with α < critical point < κ. Berkeley cardinals are a strictly stronger cardinal axiom than Reinhardtcardinals, implying that they are not compatible...
In set theory, a supercompact cardinal is a type of large cardinal independently introduced by Solovay and Reinhardt. They display a variety of reflection...
huge cardinal implies that Vopěnka's principle is consistent; more precisely any almost huge cardinal is also a Vopěnka cardinal. Kanamori, Reinhardt, and...
cardinal is one equal to its own cofinality; a regular ordinal is a limit ordinal that is equal to its own cofinality. Reinhardtcardinal A Reinhardt...
field of set theory, a large cardinal property is a certain kind of property of transfinite cardinal numbers. Cardinals with such properties are, as the...
Replacement Axiom for j-formulas". Thus, the wholeness axiom differs from Reinhardtcardinals (another way of providing elementary embeddings from V to itself)...
consistent with 2 ℵ 0 > ℵ 2 {\displaystyle 2^{\aleph _{0}}>\aleph _{2}} ? Reinhardtcardinals: Without assuming the axiom of choice, can a nontrivial elementary...
which had been suggested as a large cardinal assumption (a Reinhardtcardinal). Away from the area of large cardinals, Kunen is known for intricate forcing...
Large Cardinals in Set Theory from Their Beginnings (2nd ed.). Springer. p. 64. doi:10.1007/978-3-540-88867-3_2. ISBN 3-540-00384-3. W. N. Reinhardt, "Ackermann's...
omitted the Tits group, though he soon fixed this. In 1967 Reinhardt proposed Reinhardtcardinals, which Kunen showed to be inconsistent with ZFC in 1971...
Spirit for the life of individuals and of the church. He was created a cardinal of the Catholic Church in 1994. Congar was born in Sedan in northeast France...
League Baseball (MLB). He has previously played in MLB for the St. Louis Cardinals, Toronto Blue Jays, and San Francisco Giants. A native of Orlando, Florida...
the place of a subordinate and he decided to leave the Reinhardt fold. His status as a Reinhardt muse gave him an edge over much of his competition when...
principles are connected to and can be used to motivate large cardinal axioms. Reinhardt gives the following examples: It may be helpful to give some informal...
Reinhard Marx (born 21 September 1953) is a German cardinal of the Catholic Church. He serves as the Archbishop of Munich and Freising. Pope Benedict XVI...
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Illinois), October 20, 2009, accessed October 31, 2009. Reinhardt, Randy. "CornBelters tab former Cardinals coach as first manager", The Pantagraph (Bloomington...
Vienna's Theresianum, Waltz went to study acting at the renowned Max Reinhardt Seminar. At the same time, he also studied singing and opera at the University...
achieve this plan. Cardinals created by Honorius IV Ingrid Baumgartner, "Savelli," Die grossen Familien Italiens (ed. Volker Reinhardt) (Stuttgart 1992)...
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