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UCB Mathematics
https://math.berkeley.edu/~steel/talks/jensenmeet.pdf
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Inner Model Theory
WebExtender Models and Woodin Cardinals We summarize the progress of inner model theory from 1978 to the present. Mitchell (1974,1978) discovered what is probably the general …
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  6 I. An Outline of Inner Model Theory model. The reader can ﬁnd in [15] an …
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https://cc-lecture.readthedocs.io/en/latest/cc_models.html
5. CC models and comments — CC_lecture 1.0 documentation
Web5. CC models and comments ¶. 5.1. Standard CC models ¶. With the equations that we have presented in the previous section, the standard models of CC theory can be easily …
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What is inner model theory?Ordinarily these models are transitive subsets or subclasses of the von Neumann universe V, or sometimes of a generic extension of V. Inner model theory studies the relationships of these models to determinacy, large cardinals, and descriptive set theory. Despite the name, it is considered more a branch of set theory than of model theory .
Inner model theory - Wikipedia
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What is an inner model of a set theory?In set theory, a branch of mathematical logic, an inner model for a theory T is a substructure of a model M of a set theory that is both a model for T and contains all the ordinals of M . Let L = ⟨∈⟩ be the language of set theory.
Inner model - Wikipedia
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How are inner models constructed?Inner models in the papers discussed above are typically constructed via a procedure called the full backgrounded construction. This means the extenders giving rise to the model L[ E]~ come from extenders in V (and these in turn exist because one assumes an appropriate large cardinal hypothesis holds in V ).
A BRIEF ACCOUNT OF RECENT DEVELOPMENTS IN INNER MODEL TH…
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What is Godel's inner model theory?A main theme in inner model theory after Godel's work and Scott's result is the search for canonical inner models that can accommodate large cardinals beyond those accommodated by L. This is sometimes known as the Godel program. An immediate target is a measurable cardinal.
A BRIEF ACCOUNT OF RECENT DEVELOPMENTS IN INNER MODEL TH…
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A BRIEF ACCOUNT OF RECENT DEVELOPMENTS IN …
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In set theory, inner model theory is the study of certain models of ZFC or some fragment or strengthening thereof. Ordinarily these models are transitive subsets or subclasses of the von Neumann universe V, or sometimes of a generic extension of V. Inner model theory studies the relationships of these models to determinacy, large cardinals, and descriptive set theory. Despite the name, it is considered more a branch of set theory than of model theory.
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UCB Mathematics
https://math.berkeley.edu/~steel/papers/steel1.pdf
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An Outline of Inner Model Theory - University of California, …
E = { (a, x) | a ∈ [λ]<ω ∧ x ⊆ [κ]|a| ∧ x ∈ M ∧ a ∈ j(x)}.
x ∈ Ea ⇔ xac ∈ Ec.
E (f)(a),
Eα ∩ ([η]<ω × JE ) ∈ JE
Proof. Fix ξ < (κ+)JE
f ∈ JE and f : JE → JE
4. The Dodd-Jensen Lemma
6.1. Kc constructions
R ∩ X = R∗.
L(R) |= ∃vσ[y,α ],
8.1 Definition.
J Q
A ∈ x ⇒ ∃α < κ(C \ α ⊆ A).
f : κ → κ ∧ f ∈ M}.
For this implies that the union over x of the x is just the ω-closed un-bounded filter on κ. Since every A ⊆ κ is in some HODx, this union is an ultrafilter. Since every f : κ → κ is in some HODx, that ultrafilter is normal, and hence κ-complete. We now construct the desired generating set for x. Let us assume x = 0, so that we can use our earlier ...
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Wikipedia
https://en.wikipedia.org/wiki/Inner_model_theory
Inner model theory - Wikipedia
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MathOverflow
https://mathoverflow.net/questions/356597/inner...
set theory - Inner models with all sets generic - MathOverflow
WebApr 4, 2020 · Inner models with all sets generic. Ask Question. Asked 4 years, 1 month ago. Modified 4 years, 1 month ago. Viewed 325 times. 6. Question: Under large cardinal …
arXiv.org
https://arxiv.org/pdf/2103.13961.pdf
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GabrielGoldberg arXiv:2103.13961v2 [math.LO] 2 Nov 2021
WebMuch of the theory of large cardinals beyond a measurable cardinal concerns the structure of elementary embeddings of the universe of sets into inner models. This paper seeks …
MathOverflow
https://mathoverflow.net/questions/374835/a...
A “paradox” about the inner model problem - MathOverflow
WebOct 25, 2020 · For example $M_1^\sharp$ is the smallest mouse above a Woodin cardinal, and $M_1$ is the canonical inner model of one Woodin cardinal obtained by iterating …
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Inner Models and Large Cardinals
Springer
https://link.springer.com/chapter/10.1007/978-1-4020-5764-9_20
An Outline of Inner Model Theory | SpringerLink
WebDec 10, 2009 · This paper outlines the basic theory of canonical inner models satisfying large cardinal hypotheses. It begins with the definition of the models, and their fine …
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Inner Model Theory
Canonical Inner Models
Publish Year:2010
De Gruyter
https://www.degruyter.com/document/doi/10.1515/...
Inner Models and Large Cardinals - De Gruyter
WebSep 6, 2011 · This volume is an introduction to inner model theory, an area of set theory which is concerned with fine structural inner models reflecting large cardinal properties …
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Inner Model Theory
Inner Models and Large Cardinals
Set Theory
Springer
https://link.springer.com/content/pdf/10.1007/978-1-4020-5764-9_18.pdf
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17. Beginning Inner Model Theory - Springer
Web1452 Mitchell/Beginning Inner Model Theory The main content of the sentence “V = L” is the statement ∀x∃α∃y (y = Lα & x ∈ L α).See Jech [14, Lemma 13.17] for a proof of …
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Inner Model Theory
Publish Year:2010
William J. Mitchell
arXiv.org
https://arxiv.org/pdf/2007.10766.pdf
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Inner Models from Extended Logics: Part 2∗ - arXiv.org
WebWe introduce a new inner model C(aa) arising from stationary logic. We show that assuming a proper class of Woodin cardinals, or alternatively MM++, the regular …
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Wikipedia
https://en.wikipedia.org/wiki/Inner_model
Inner model - Wikipedia
WebIn set theory, a branch of mathematical logic, an inner model [1] for a theory T is a substructure of a model M of a set theory that is both a model for T and contains all …
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Axiom of Regularity
Zermelo–Fraenkel Set Theory
MathOverflow
https://mathoverflow.net/questions/322462/does...
lo.logic - Does inner model theory seek canonical models for large ...
WebFeb 4, 2019 · A remarkable result is that given an ordinal κ, if there is a model L[U] in which κ is measurable and U is a normal measure on κ, then there is exactly one inner model …
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Young Girls Models
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cuny.edu
http://faculty.baruch.cuny.edu/aapter/papers/innermodels.pdf
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INNER MODELS WITH LARGE CARDINAL FEATURES …
WebINNER MODELS WITH LARGE CARDINAL FEATURES USUALLY OBTAINED BY FORCING. ARTHUR W. APTER, VICTORIA GITMAN, AND JOEL DAVID HAMKINS. …
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Wikipedia
https://en.wikipedia.org/wiki/Category:Inner_model_theory
Category:Inner model theory - Wikipedia
WebInner model theory is the study of certain models of ZFC or some fragment or strengthening thereof.
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Mathematics Stack Exchange
https://math.stackexchange.com/questions/618780/...
What determines when an inner model is "canonical"?
Web8. I've read several places that L, the constructible universe, is the least canonical inner model. Grigor Sargsyan explains in his slides that L is canonical due to RL being Σ12 …
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Definition of Canonical Model
Mathematics Stack Exchange
https://math.stackexchange.com/questions/54099
$A^\\#$ and inner models - Mathematics Stack Exchange
WebSuppose $V$ is a model of $ZFC$, $A$ a set of ordinals and $M$ is a transitive inner model such that $A\in M$ and $M\models A^\#\text{ exists}$. Does that imply …
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X in Set Theory
itslifejimbutnotasweknowit.org.uk
http://www.itslifejimbutnotasweknowit.org.uk/files/...
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Reflective Practice for Educators
WebBecause the intent of reflective practice is to improve the quality of professional performance, we begin our inquiry by focusing on problems of practice. There are many …
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Karen F Osterman
Reflective Practice For Educators
springer.com
https://link.springer.com/article/10.1007/s11214-020-00748-w
The NC-CC Isotope Dichotomy: Implications for the Chemical
WebNov 17, 2020 · The NC groups purportedly originated in the inner disk, and the CC groups were derived from the outer disk, where the NC and CC regions of the disk may have been separated early on by proto-Jupiter, a pressure maximum, or a dust trap in the disk.
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N-Scale Model of Pioneer Oil Refinery - scvhistory.com
WebN-Scale Model of Pioneer Oil Refinery. Newhall, California. N-scale model kit of the Pioneer Oil Refinery and Andrew's Station in Newhall, developed by San Francisco architect and …
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N Scale Oil Loading Platform
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1932 Ford Model 18 for Sale | ClassicCars.com | CC-1844866
WebModel: Model 18. Exterior Color: Gloss Black. Interior Color: dark chocolate brown. Transmission: Manual. Engine Size: V-8. Odometer: 718. Convertible: Yes. Stock …
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