Joel David Hamkins

Follow

Generating author description...

All published works
Action Title Year Authors
+ PDF Chat How the continuum hypothesis could have been a fundamental axiom 2024 Joel David Hamkins
+ PDF Chat Did Turing prove the undecidability of the halting problem? 2024 Joel David Hamkins
Theodor Nenu
+ PDF Chat Every Countable Model of Arithmetic or Set Theory has a Pointwise-Definable End Extension 2024 Joel David Hamkins
+ PDF Chat Infinite Wordle and the mastermind numbers 2023 Joel David Hamkins
+ Nonlinearity and Illfoundedness in the Hierarchy of Large Cardinal Consistency Strength 2022 Joel David Hamkins
+ PDF Chat REFLECTION IN SECOND-ORDER SET THEORY WITH ABUNDANT URELEMENTS BI-INTERPRETS A SUPERCOMPACT CARDINAL 2022 Joel David Hamkins
Bokai Yao
+ PDF Chat Choiceless large cardinals and set‐theoretic potentialism 2022 Raffaella Cutolo
Joel David Hamkins
+ Reflection in second-order set theory with abundant urelements bi-interprets a supercompact cardinal 2022 Joel David Hamkins
Bokai Yao
+ Infinite Wordle and the Mastermind numbers 2022 Joel David Hamkins
+ Fregean abstraction in Zermelo-Fraenkel set theory: a deflationary account 2022 Joel David Hamkins
+ Every countable model of arithmetic or set theory has a pointwise-definable end extension 2022 Joel David Hamkins
+ Nonlinearity and illfoundedness in the hierarchy of large cardinal consistency strength 2022 Joel David Hamkins
+ Pseudo-countable models 2022 Joel David Hamkins
+ Infinite Hex is a draw 2022 Joel David Hamkins
Davide Leonessi
+ Transfinite game values in infinite draughts. 2021 Joel David Hamkins
Davide Leonessi
+ Is the twin prime conjecture independent of Peano Arithmetic 2021 Alessandro Berarducci
Antongiulio Fornasiero
Joel David Hamkins
+ Topological models of arithmetic 2021 Ali Enayat
Joel David Hamkins
Bartosz WcisƂo
+ PDF Chat Kelley–Morse set theory does not prove the class Fodor principle 2021 Victoria Gitman
Joel David Hamkins
Asaf Karagila
+ Transfinite game values in infinite draughts 2021 Joel David Hamkins
Davide Leonessi
+ Is the twin prime conjecture independent of Peano Arithmetic? 2021 Alessandro Berarducci
Antongiulio Fornasiero
Joel David Hamkins
+ PDF Chat BI-INTERPRETATION IN WEAK SET THEORIES 2020 Alfredo Roque Freire
Joel David Hamkins
+ Modal model theory 2020 Joel David Hamkins
Wojciech Aleksander WoƂoszyn
+ Categorical large cardinals and the tension between categoricity and set-theoretic reflection 2020 Joel David Hamkins
Hans Robin Solberg
+ PDF Chat THE EXACT STRENGTH OF THE CLASS FORCING THEOREM 2020 Victoria Gitman
Joel David Hamkins
Peter Holy
Philipp Schlicht
Kameryn J. Williams
+ Forcing as a computational process 2020 Joel David Hamkins
Russell Miller
Kameryn J. Williams
+ Bi-interpretation in weak set theories 2020 Alfredo Roque Freire
Joel David Hamkins
+ Choiceless large cardinals and set-theoretic potentialism 2020 Raffaella Cutolo
Joel David Hamkins
+ Categorical large cardinals and the tension between categoricity and set-theoretic reflection 2020 Joel David Hamkins
Hans Robin Solberg
+ Bi-interpretation in weak set theories 2020 Alfredo Roque Freire
Joel David Hamkins
+ Forcing as a computational process 2020 Joel David Hamkins
Russell Miller
Kameryn J. Williams
+ Modal model theory 2020 Joel David Hamkins
Wojciech Aleksander WoƂoszyn
+ PDF Chat When does every definable nonempty set have a definable element? 2019 François G. Dorais
Joel David Hamkins
+ PDF Chat THE MODAL LOGIC OF SET-THEORETIC POTENTIALISM AND THE POTENTIALIST MAXIMALITY PRINCIPLES 2019 Joel David Hamkins
Øystein Linnebo
+ The rearrangement number 2019 Andreas Blass
Jörg Brendle
Will Brian
Joel David Hamkins
Michael Hardy
Paul Larson
+ PDF Chat THE IMPLICITLY CONSTRUCTIBLE UNIVERSE 2019 Marcia J. Groszek
Joel David Hamkins
+ Representing Ordinal Numbers with Arithmetically Interesting Sets of Real Numbers 2019 D. Dakota Blair
Joel David Hamkins
Kevin O’Bryant
+ PDF Chat Inner-Model Reflection Principles 2019 Neil Barton
Andrés Eduardo Caicedo
GĂŒnter Fuchs
Joel David Hamkins
Jonas Reitz
Ralf Schindler
+ PDF Chat Set-theoretic blockchains 2019 Miha E. Habič
Joel David Hamkins
Lukas Daniel Klausner
Jonathan L. Verner
Kameryn J. Williams
+ The Sigma_1-definable universal finite sequence 2019 Joel David Hamkins
Kameryn J. Williams
+ Representing Ordinal Numbers with Arithmetically Interesting Sets of Real Numbers 2019 D. Dakota Blair
Joel David Hamkins
Kevin O’Bryant
+ Topological models of arithmetic 2018 Ali Enayat
Joel David Hamkins
Bartosz WcisƂo
+ PDF Chat ZFC PROVES THAT THE CLASS OF ORDINALS IS NOT WEAKLY COMPACT FOR DEFINABLE CLASSES 2018 Ali Enayat
Joel David Hamkins
+ The subseries number 2018 Jörg Brendle
Will Brian
Joel David Hamkins
+ The modal logic of arithmetic potentialism and the universal algorithm 2018 Joel David Hamkins
+ PDF Chat Ehrenfeucht’s Lemma in Set Theory 2018 GĂŒnter Fuchs
Victoria Gitman
Joel David Hamkins
+ Open class determinacy is preserved by forcing 2018 Joel David Hamkins
W. Hugh Woodin
+ Topological models of arithmetic 2018 Ali Enayat
Joel David Hamkins
Bartosz WcisƂo
+ The modal logic of arithmetic potentialism and the universal algorithm 2018 Joel David Hamkins
+ The subseries number 2018 Jörg Brendle
Will Brian
Joel David Hamkins
+ The universal finite set 2017 Joel David Hamkins
W. Hugh Woodin
+ Inner-model reflection principles. 2017 Neil Barton
Andrés Eduardo Caicedo
GĂŒnter Fuchs
Joel David Hamkins
Jonas Reitz
+ PDF Chat Strongly uplifting cardinals and the boldface resurrection axioms 2017 Joel David Hamkins
Thomas A. Johnstone
+ The modal logic of set-theoretic potentialism and the potentialist maximality principles 2017 Joel David Hamkins
Øystein Linnebo
+ When does every definable nonempty set have a definable element 2017 François G. Dorais
Joel David Hamkins
+ A model of the generic Vop\v{e}nka principle in which the ordinals are not Mahlo 2017 Victoria Gitman
Joel David Hamkins
+ Incomparable ω<sub>1</sub>‐like models of set theory 2017 GĂŒnter Fuchs
Victoria Gitman
Joel David Hamkins
+ Mathematical Pluralism 2017 Justin Clarke‐Doane
Joel David Hamkins
+ Computable quotient presentations of models of arithmetic and set theory 2017 MichaƂ Tomasz Godziszewski
Joel David Hamkins
+ PDF Chat Open determinacy for class games 2017 Victoria Gitman
Joel David Hamkins
+ PDF Chat Computable Quotient Presentations of Models of Arithmetic and Set Theory 2017 MichaƂ Tomasz Godziszewski
Joel David Hamkins
+ The inclusion relations of the countable models of set theory are all isomorphic 2017 Joel David Hamkins
Makoto Kikuchi
+ Boolean ultrapowers, the Bukovsky-Dehornoy phenomenon, and iterated ultrapowers 2017 GĂŒnter Fuchs
Joel David Hamkins
+ The set-theoretic universe $V$ is not necessarily a class-forcing extension of HOD 2017 Joel David Hamkins
Jonas Reitz
+ The universal finite set 2017 Joel David Hamkins
W. Hugh Woodin
+ Computable quotient presentations of models of arithmetic and set theory 2017 MichaƂ Tomasz Godziszewski
Joel David Hamkins
+ The modal logic of set-theoretic potentialism and the potentialist maximality principles 2017 Joel David Hamkins
Øystein Linnebo
+ A model of the generic Vopěnka principle in which the ordinals are not Mahlo 2017 Victoria Gitman
Joel David Hamkins
+ When does every definable nonempty set have a definable element? 2017 François G. Dorais
Joel David Hamkins
+ The Rearrangement Number 2016 Andreas Blass
Jörg Brendle
Will Brian
Joel David Hamkins
Michael Hardy
Paul Larson
+ ZFC proves that the class of ordinals is not weakly compact for definable classes 2016 Ali Enayat
Joel David Hamkins
+ PDF Chat What is the theory without power set? 2016 Victoria Gitman
Joel David Hamkins
Thomas A. Johnstone
+ The Ground Axiom 2016 Joel David Hamkins
+ The Vopěnka principle is inequivalent to but conservative over the Vopěnka scheme 2016 Joel David Hamkins
+ The Vop\v{e}nka principle is inequivalent to but conservative over the Vop\v{e}nka scheme 2016 Joel David Hamkins
+ PDF Chat Set-theoretic mereology 2016 Joel David Hamkins
Makoto Kikuchi
+ PDF Chat Algebraicity and Implicit Definability in Set Theory 2016 Joel David Hamkins
Cole Leahy
+ Set-theoretic mereology 2016 Joel David Hamkins
Makoto Kikuchi
+ The Rearrangement Number 2016 Andreas Blass
Jörg Brendle
Will Brian
Joel David Hamkins
Michael Hardy
Paul Larson
+ The Ground Axiom 2016 Joel David Hamkins
+ The Vopěnka principle is inequivalent to but conservative over the Vopěnka scheme 2016 Joel David Hamkins
+ ZFC proves that the class of ordinals is not weakly compact for definable classes 2016 Ali Enayat
Joel David Hamkins
+ PDF Chat Superstrong and other large cardinals are never Laver indestructible 2015 Joan Bagaria
Joel David Hamkins
Konstantinos Tsaprounis
Toshimichi Usuba
+ A position in infinite chess with game value $\omega^4$ 2015 C. D. A. Evans
Joel David Hamkins
Norman Lewis Perlmutter
+ Large cardinals need not be large in HOD 2015 Yong Cheng
Sy‐David Friedman
Joel David Hamkins
+ PDF Chat Structural connections between a forcing class and its modal logic 2015 Joel David Hamkins
George Leibman
Benedikt Löwe
+ PDF Chat The least weakly compact cardinal can be unfoldable, weakly measurable and nearly $${\theta}$$ Ξ -supercompact 2015 Brent Cody
Moti Gitik
Joel David Hamkins
Jason A. Schanker
+ Incomparable $\omega_1$-like models of set theory 2015 GĂŒnter Fuchs
Victoria Gitman
Joel David Hamkins
+ PDF Chat Is the Dream Solution of the Continuum Hypothesis Attainable? 2015 Joel David Hamkins
+ Upward closure and amalgamation in the generic multiverse of a countable model of set theory 2015 Joel David Hamkins
+ Open determinacy for class games 2015 Victoria Gitman
Joel David Hamkins
+ A position in infinite chess with game value $ω^4$ 2015 Cassandra Evans
Joel David Hamkins
Norman Lewis Perlmutter
+ Incomparable $ω_1$-like models of set theory 2015 GĂŒnter Fuchs
Victoria Gitman
Joel David Hamkins
+ Set-theoretic geology 2014 GĂŒnter Fuchs
Joel David Hamkins
Jonas Reitz
+ Strongly uplifting cardinals and the boldface resurrection axioms 2014 Joel David Hamkins
Thomas A. Johnstone
+ PDF Chat Resurrection axioms and uplifting cardinals 2014 Joel David Hamkins
Thomas A. Johnstone
+ Large cardinals need not be large in HOD 2014 Yong Cheng
Sy‐David Friedman
Joel David Hamkins
+ TRANSFINITE GAME VALUES IN INFINITE CHESS 2014 C. D. A. Evans
Joel David Hamkins
+ Strongly uplifting cardinals and the boldface resurrection axioms 2014 Joel David Hamkins
Thomas A. Johnstone
+ The role of the foundation axiom in the Kunen inconsistency 2013 Ali Sadegh Daghighi
Mohammad Golshani
Joel David Hamkins
Emil Jeƙábek
+ PDF Chat Infinite time Turing machines and an application to the hierarchy of equivalence relations on the reals 2013 Samuel Coskey
Joel David Hamkins
+ PDF Chat EVERY COUNTABLE MODEL OF SET THEORY EMBEDS INTO ITS OWN CONSTRUCTIBLE UNIVERSE 2013 Joel David Hamkins
+ Resurrection axioms and uplifting cardinals 2013 Joel David Hamkins
Thomas A. Johnstone
+ Superstrong and other large cardinals are never Laver indestructible 2013 Joan Bagaria
Joel David Hamkins
Konstantinos Tsaprounis
Toshimichi Usuba
+ PDF Chat Singular cardinals and strong extenders 2013 Arthur W. Apter
James Cummings
Joel David Hamkins
+ The least weakly compact cardinal can be unfoldable, weakly measurable and nearly $\theta$-supercompact 2013 Brent Cody
Moti Gitik
Joel David Hamkins
Jason A. Schanker
+ Transfinite game values in infinite chess 2013 C. D. A. Evans
Joel David Hamkins
+ PDF Chat Transfinite game values in infinite chess 2013 Cassandra Evans
Joel David Hamkins
+ PDF Chat Pointwise definable models of set theory 2013 Joel David Hamkins
David Linetsky
Jonas Reitz
+ The foundation axiom and elementary self-embeddings of the universe 2013 Ali Sadegh Daghighi
Mohammad Golshani
Joel David Hamkins
Emil Jeƙábek
+ Satisfaction is not absolute 2013 Joel David Hamkins
Ruizhi Yang
+ Resurrection axioms and uplifting cardinals 2013 Joel David Hamkins
Thomas A. Johnstone
+ Superstrong and other large cardinals are never Laver indestructible 2013 Joan Bagaria
Joel David Hamkins
Konstantinos Tsaprounis
Toshimichi Usuba
+ The least weakly compact cardinal can be unfoldable, weakly measurable and nearly $Ξ$-supercompact 2013 Brent Cody
Moti Gitik
Joel David Hamkins
Jason A. Schanker
+ Transfinite game values in infinite chess 2013 Cassandra Evans
Joel David Hamkins
+ PDF Chat Moving Up and Down in the Generic Multiverse 2012 Joel David Hamkins
Benedikt Löwe
+ A multiverse perspective on the axiom of constructiblity 2012 Joel David Hamkins
+ PDF Chat The rigid relation principle, a new weak choice principle 2012 Joel David Hamkins
Justin Palumbo
+ PDF Chat THE SET-THEORETIC MULTIVERSE 2012 Joel David Hamkins
+ Generalizations of the Kunen inconsistency 2012 Joel David Hamkins
Greg Kirmayer
Norman Lewis Perlmutter
+ Singular cardinals and strong extenders 2012 Arthur W. Apter
James Cummings
Joel David Hamkins
+ Well-founded Boolean ultrapowers as large cardinal embeddings 2012 Joel David Hamkins
Daniel Evan Seabold
+ PDF Chat The Hierarchy of Equivalence Relations on the Natural Numbers Under Computable Reducibility 2012 Samuel Coskey
Joel David Hamkins
Russell Miller
+ PDF Chat The Mate-in-n Problem of Infinite Chess Is Decidable 2012 Dan Brumleve
Joel David Hamkins
Philipp Schlicht
+ The mate-in-n problem of infinite chess is decidable 2012 Dan Brumleve
Joel David Hamkins
Philipp Schlicht
+ Singular cardinals and strong extenders 2012 Arthur W. Apter
J. R. Cummings
Joel David Hamkins
+ Structural connections between a forcing class and its modal logic 2012 Joel David Hamkins
George Leibman
Benedikt Löwe
+ A multiverse perspective on the axiom of constructiblity 2012 Joel David Hamkins
+ Moving up and down in the generic multiverse 2012 Joel David Hamkins
Benedikt Löwe
+ PDF Chat Inner models with large cardinal features usually obtained by forcing 2011 Arthur W. Apter
Victoria Gitman
Joel David Hamkins
+ Inner models with large cardinal features usually obtained by forcing 2011 Arthur W. Apter
Victoria Gitman
Joel David Hamkins
+ What is the theory ZFC without power set 2011 Victoria Gitman
Joel David Hamkins
Thomas A. Johnstone
+ Set-Theoretic Geology 2011 GĂŒnter Fuchs
Joel David Hamkins
Jonas Reitz
+ The Rigid Relation Principle, a New Weak Choice Principle 2011 Joel David Hamkins
Justin Palumbo
+ Generalizations of the Kunen Inconsistency 2011 Joel David Hamkins
Greg Kirmayer
Norman Lewis Perlmutter
+ Pointwise Definable Models of Set Theory 2011 Joel David Hamkins
David Linetsky
Jonas Reitz
+ A natural model of the multiverse axioms 2011 Victoria Gitman
Joel David Hamkins
+ PDF Chat Infinite Time Decidable Equivalence Relation Theory 2011 Samuel Coskey
Joel David Hamkins
+ Generalizations of the Kunen Inconsistency 2011 Joel David Hamkins
Greg Kirmayer
Norman Lewis Perlmutter
+ A natural model of the multiverse axioms 2011 Victoria Gitman
Joel David Hamkins
+ Pointwise Definable Models of Set Theory 2011 Joel David Hamkins
David Linetsky
Jonas Reitz
+ What is the theory ZFC without power set? 2011 Victoria Gitman
Joel David Hamkins
Thomas A. Johnstone
+ Inner models with large cardinal features usually obtained by forcing 2011 Arthur W. Apter
Victoria Gitman
Joel David Hamkins
+ The Rigid Relation Principle, a New Weak Choice Principle 2011 Joel David Hamkins
Justin Palumbo
+ Set-Theoretic Geology 2011 GĂŒnter Fuchs
Joel David Hamkins
Jonas Reitz
+ PDF Chat A Natural Model of the Multiverse Axioms 2010 Victoria Gitman
Joel David Hamkins
+ Indestructible Strong Unfoldability 2010 Joel David Hamkins
Thomas A. Johnstone
+ PDF Chat Degrees of rigidity for Souslin trees 2009 GĂŒnter Fuchs
Joel David Hamkins
+ The proper and semi-proper forcing axioms for forcing notions that preserve ℔₂ or ℔₃ 2008 Joel David Hamkins
Thomas Johnstone
+ Tall cardinals 2008 Joel David Hamkins
+ PDF Chat Changing the heights of automorphism towers by forcing with Souslin trees over L 2008 GĂŒnter Fuchs
Joel David Hamkins
+ PDF Chat The ground axiom is consistent with V $\neq $ HOD 2008 Joel David Hamkins
Jonas Reitz
W. Hugh Woodin
+ Some Second Order Set Theory 2008 Joel David Hamkins
+ The modal logic of forcing 2007 Joel David Hamkins
Benedikt Löwe
+ A Survey of Infinite Time Turing Machines 2007 Joel David Hamkins
+ Large cardinals with few measures 2007 Arthur W. Apter
James Cummings
Joel David Hamkins
+ Changing the Heights of Automorphism Towers by Forcing with Souslin Trees over L 2007 GĂŒnter Fuchs
Joel David Hamkins
+ PDF Chat The Halting Problem Is Decidable on a Set of Asymptotic Probability One 2006 Joel David Hamkins
Alexei Miasnikov
+ Diamond (on the regulars) can fail at any strongly unfoldable cardinal 2006 Mirna DĆŸamonja
Joel David Hamkins
+ Degrees of rigidity for Souslin trees 2006 Joel David Hamkins
GĂŒnter Fuchs
+ Large cardinals with few measures 2006 Arthur W. Apter
James Cummings
Joel David Hamkins
+ Degrees of rigidity for Souslin trees 2006 Joel David Hamkins
GĂŒnter Fuchs
+ Infinite time computable model theory 2006 Joel David Hamkins
Russell Miller
Daniel Evan Seabold
Steve Warner
+ PDF Chat P ≠ NP ∩ co-NP for Infinite Time Turing Machines 2005 Vinay Deolalikar
Joel David Hamkins
Ralf Schindler
+ The modal logic of forcing 2005 Joel David Hamkins
Benedikt Loewe
+ PDF Chat The Necessary Maximality Principle for c. c. c. forcing is equiconsistent with a weakly compact cardinal 2005 Joel David Hamkins
W. Hugh Woodin
+ The halting problem is decidable on a set of asymptotic probability one 2005 Joel David Hamkins
Alexei Miasnikov
+ The modal logic of forcing 2005 Joel David Hamkins
Benedikt Loewe
+ The Necessary Maximality Principle for c.c.c. forcing is equiconsistent with a weakly compact cardinal 2004 Joel David Hamkins
W. Hugh Woodin
+ Diamond (on the regulars) can fail at any strongly unfoldable cardinal 2004 Joel David Hamkins
Mirna DĆŸamonja
+ PDF Chat Pf ≠ NPf for almost all f 2003 Joel David Hamkins
Philip Welch
+ PDF Chat Exactly controlling the non-supercompact strongly compact cardinals 2003 Arthur W. Apter
Joel David Hamkins
+ PDF Chat A simple maximality principle 2003 Joel David Hamkins
+ P is not equal to NP intersect coNP for Infinite Time Turing Machines 2003 Vinay Deolalikar
Joel David Hamkins
Ralf‐Dieter Schindler
+ PDF Chat Extensions with the approximation and cover properties have no new large cardinals 2003 Joel David Hamkins
+ Exactly controlling the non-supercompact strongly compact cardinals 2003 Arthur W. Apter
Joel David Hamkins
+ PDF Chat Indestructibility and the level-by-level agreement between strong compactness and supercompactness 2002 Arthur W. Apter
Joel David Hamkins
+ P^f is not equal to NP^f for almost all f 2002 Joel David Hamkins
Philip Welch
+ Infinite Time Turing Machines: Supertask Computation 2002 Joel David Hamkins
+ How tall is the automorphism tower of a group? 2002 Joel David Hamkins
+ A class of strong diamond principles 2002 Joel David Hamkins
+ None 2002 Joel David Hamkins
+ Supertask Computation 2002 Joel David Hamkins
+ Gap forcing 2001 Joel David Hamkins
+ Indestructible Weakly Compact Cardinals and the Necessity of Supercompactness for Certain Proof Schemata 2001 Arthur W. Apter
Joel David Hamkins
+ PDF Chat Unfoldable cardinals and the GCH 2001 Joel David Hamkins
+ Indestructible Weakly Compact Cardinals and the Necessity of Supercompactness for Certain Proof Schemata 2001 Arthur W. Apter
Joel David Hamkins
+ PDF Chat Infinite Time Turing Machines With Only One Tape 2001 Joel David Hamkins
Daniel Evan Seabold
+ The Wholeness Axioms and V=HOD 2001 Joel David Hamkins
+ Indestructibility and the level-by-level agreement between strong compactness and supercompactness 2001 Arthur W. Apter
Joel David Hamkins
+ PDF Chat Infinite time Turing machines 2000 Joel David Hamkins
Andy Lewis
+ PDF Chat Small forcing creates neither strong nor Woodin cardinals 2000 Joel David Hamkins
W. Hugh Woodin
+ PDF Chat Changing the heights of automorphism towers 2000 Joel David Hamkins
Simon Thomas
+ The lottery preparation 2000 Joel David Hamkins
+ A simple maximality principle 2000 Joel David Hamkins
+ PDF Chat Gap Forcing: Generalizing the LĂ©vy-Solovay Theorem 1999 Joel David Hamkins
+ Gap forcing: generalizing the Levy-Solovay theorem 1999 Joel David Hamkins
+ The Wholeness Axioms and V=HOD 1999 Joel David Hamkins
+ Unfoldable cardinals and the GCH 1999 Joel David Hamkins
+ Infinite time Turing machines with only one tape 1999 Joel David Hamkins
Daniel Evan Seabold
+ Indestructible weakly compact cardinals and the necessity of supercompactness for certain proof schemata 1999 Arthur W. Apter
Joel David Hamkins
+ The Lottery Preparation 1998 Joel David Hamkins
+ Superdestructibility: A dual to Laver's indestructibility 1998 Joel David Hamkins
Saharon Shelah
+ PDF Chat Small forcing makes any cardinal superdestructible 1998 Joel David Hamkins
+ Destruction or preservation as you like it 1998 Joel David Hamkins
+ PDF Chat Every group has a terminating transfinite automorphism tower 1998 Joel David Hamkins
+ Infinite Time Turing Machines 1998 Joel David Hamkins
Andy Lewis
+ Post's problem for supertasks has both positive and negative solutions 1998 Joel David Hamkins
Andrew D. Lewis
+ Every group has a terminating transfinite automorphism tower 1998 Joel David Hamkins
+ Small forcing creates neither strong nor Woodin cardinals 1998 Joel David Hamkins
W. Hugh Woodin
+ Universal Indestructibility 1998 Arthur W. Apter
Joel David Hamkins
+ The Lottery Preparation 1998 Joel David Hamkins
+ How Tall is the Automorphism Tower of a Group? 1998 Joel David Hamkins
+ Gap Forcing 1998 Joel David Hamkins
+ Yiannis N. Moschovakis. Notes on set theory. Undergraduate texts in mathematics. Springer-Verlag, New York, Berlin, Heidelberg, etc., 1994, xiv + 272 pp. 1997 Joel David Hamkins
+ Canonical seeds and Prikry trees 1997 Joel David Hamkins
+ Changing the heights of automorphism towers 1997 Joel David Hamkins
Simon Thomas
+ Changing the heights of automorphism towers 1997 Joel David Hamkins
Thomas Simon
+ Superdestructibility: a dual to Laver indestructibility 1996 Joel David Hamkins
Saharon Shelah
+ Fragile measurability 1994 Joel David Hamkins
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Making the supercompactness of Îș indestructible under Îș-directed closed forcing 1978 Richard Laver
31
+ Measurable cardinals and the continuum hypothesis 1967 Amit Levy
R. M. Solovay
19
+ The lottery preparation 2000 Joel David Hamkins
18
+ Certain very large cardinals are not created in small forcing extensions 2007 Richard Laver
14
+ PDF Chat Extensions with the approximation and cover properties have no new large cardinals 2003 Joel David Hamkins
14
+ PDF Chat A simple maximality principle 2003 Joel David Hamkins
14
+ Indestructible Strong Unfoldability 2010 Joel David Hamkins
Thomas A. Johnstone
14
+ PDF Chat Chains of end elementary extensions of models of set theory 1998 Andrés Villaveces
13
+ The modal logic of forcing 2007 Joel David Hamkins
Benedikt Löwe
13
+ The ground axiom 2007 Jonas Reitz
12
+ Set-theoretic geology 2014 GĂŒnter Fuchs
Joel David Hamkins
Jonas Reitz
12
+ Strongly unfoldable cardinals made indestructible 2008 Thomas A. Johnstone
11
+ Destruction or preservation as you like it 1998 Joel David Hamkins
10
+ Superdestructibility: A dual to Laver's indestructibility 1998 Joel David Hamkins
Saharon Shelah
10
+ PDF Chat Small forcing makes any cardinal superdestructible 1998 Joel David Hamkins
10
+ Gap forcing 2001 Joel David Hamkins
9
+ The Length of Infinite Time Turing Machine Computations 2000 Philip Welch
9
+ Fragile measurability 1994 Joel David Hamkins
9
+ PDF Chat Moving Up and Down in the Generic Multiverse 2012 Joel David Hamkins
Benedikt Löwe
8
+ PDF Chat Infinite time Turing machines 2000 Joel David Hamkins
Andy Lewis
8
+ PDF Chat Pointwise definable models of set theory 2013 Joel David Hamkins
David Linetsky
Jonas Reitz
7
+ PDF Chat Internal Consistency and the Inner Model Hypothesis 2006 Sy‐David Friedman
7
+ Well-founded Boolean ultrapowers as large cardinal embeddings 2012 Joel David Hamkins
Daniel Evan Seabold
7
+ PDF Chat Gap Forcing: Generalizing the LĂ©vy-Solovay Theorem 1999 Joel David Hamkins
7
+ PDF Chat THE SET-THEORETIC MULTIVERSE 2012 Joel David Hamkins
7
+ PDF Chat Structural connections between a forcing class and its modal logic 2015 Joel David Hamkins
George Leibman
Benedikt Löwe
7
+ PDF Chat A Natural Model of the Multiverse Axioms 2010 Victoria Gitman
Joel David Hamkins
7
+ A class of strong diamond principles 2002 Joel David Hamkins
7
+ On strong compactness and supercompactness 1975 Telis K. Menas
7
+ How large is the first strongly compact cardinal? or a study on identity crises 1976 Menachem Magidor
7
+ Laver indestructibility and the class of compact cardinals 1998 Arthur W. Apter
7
+ Canonical seeds and Prikry trees 1997 Joel David Hamkins
7
+ PDF Chat Open determinacy for class games 2017 Victoria Gitman
Joel David Hamkins
6
+ PDF Chat Unfoldable cardinals and the GCH 2001 Joel David Hamkins
6
+ PDF Chat Small forcing creates neither strong nor Woodin cardinals 2000 Joel David Hamkins
W. Hugh Woodin
6
+ PDF Chat Ramsey-like cardinals II 2011 Victoria Gitman
Philip Welch
6
+ On certain indestructibility of strong cardinals and a question of Hajnal 1989 Moti Gitik
Saharon Shelah
6
+ Higher Recursion Theory 2017 Gerald E. Sacks
6
+ The automorphism tower problem II 1998 Simon Thomas
6
+ Countable models of set theories 1973 Harvey Friedman
6
+ PDF Chat What is the theory without power set? 2016 Victoria Gitman
Joel David Hamkins
Thomas A. Johnstone
6
+ Indescribable cardinals and elementary embeddings 1991 Kai Hauser
6
+ PDF Chat Closed maximality principles: implications, separations and combinations 2008 GĂŒnter Fuchs
6
+ Some Second Order Set Theory 2008 Joel David Hamkins
5
+ PDF Chat THE EXACT STRENGTH OF THE CLASS FORCING THEOREM 2020 Victoria Gitman
Joel David Hamkins
Peter Holy
Philipp Schlicht
Kameryn J. Williams
5
+ Identity crises and strong compactness 2000 Arthur W. Apter
James Cummings
5
+ Generalizations of the Kunen inconsistency 2012 Joel David Hamkins
Greg Kirmayer
Norman Lewis Perlmutter
5
+ Automorphism towers of polycyclic groups 1970 J. A. Hulse
5
+ Diamond (on the regulars) can fail at any strongly unfoldable cardinal 2006 Mirna DĆŸamonja
Joel David Hamkins
5
+ PDF Chat The ground axiom is consistent with V $\neq $ HOD 2008 Joel David Hamkins
Jonas Reitz
W. Hugh Woodin
5