Joel David Hamkins

Orcid: 0000-0002-9959-0500

According to our database1, Joel David Hamkins authored at least 73 papers between 1994 and 2023.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of two.

Timeline

Legend:

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Bibliography

2023
Infinite Wordle and the mastermind numbers.
Math. Log. Q., November, 2023

2022
The Modal Logic of Set-Theoretic Potentialism and the Potentialist Maximality Principles.
Rev. Symb. Log., 2022

Choiceless large cardinals and set-theoretic potentialism.
Math. Log. Q., 2022

The σ1-Definable Universal finite sequence.
J. Symb. Log., 2022

Infinite Hex is a draw.
CoRR, 2022

2021
Bi-Interpretation in Weak Set Theories.
J. Symb. Log., 2021

Transfinite game values in infinite draughts.
CoRR, 2021

2020
Inner-Model Reflection Principles.
Stud Logica, 2020

The exact strength of the class forcing Theorem.
J. Symb. Log., 2020

2019
When does every definable nonempty set have a definable element?
Math. Log. Q., 2019

The Implicitly Constructible Universe.
J. Symb. Log., 2019

Set-theoretic blockchains.
Arch. Math. Log., 2019

A model of the generic Vopěnka principle in which the ordinals are not Mahlo.
Arch. Math. Log., 2019

2018
Ehrenfeucht's Lemma in Set Theory.
Notre Dame J. Formal Log., 2018

Zfc Proves that the class of Ordinals is not Weakly Compact for Definable Classes.
J. Symb. Log., 2018

2017
Incomparable ω<sub>1</sub>-like models of set theory.
Math. Log. Q., 2017

A Position in Infinite Chess With Game Value ω4.
Integers, 2017

Strongly uplifting cardinals and the boldface resurrection axioms.
Arch. Math. Log., 2017

Computable Quotient Presentations of Models of Arithmetic and Set Theory.
Proceedings of the Logic, Language, Information, and Computation, 2017

2016
Algebraicity and Implicit Definability in Set Theory.
Notre Dame J. Formal Log., 2016

What is the theory without power set?
Math. Log. Q., 2016

Superstrong and other large cardinals are never Laver indestructible.
Arch. Math. Log., 2016

2015
Is the Dream Solution of the Continuum Hypothesis Attainable?
Notre Dame J. Formal Log., 2015

Set-theoretic geology.
Ann. Pure Appl. Log., 2015

Large cardinals need not be large in HOD.
Ann. Pure Appl. Log., 2015

The least weakly compact cardinal can be unfoldable, weakly measurable and nearly θ-supercompact.
Arch. Math. Log., 2015

2014
Transfinite Game Values in Infinite Chess.
Integers, 2014

Resurrection axioms and uplifting cardinals.
Arch. Math. Log., 2014

2013
Pointwise definable models of set theory.
J. Symb. Log., 2013

Every Countable Model of Set Theory embeds into its Own Constructible Universe.
J. Math. Log., 2013

Moving Up and Down in the Generic Multiverse.
Proceedings of the Logic and Its Applications, 5th Indian Conference, 2013

2012
The Set-Theoretic Multiverse.
Rev. Symb. Log., 2012

The rigid relation principle, a new weak choice principle.
Math. Log. Q., 2012

The Hierarchy of Equivalence Relations on the Natural Numbers Under Computable Reducibility.
Comput., 2012

Generalizations of the Kunen inconsistency.
Ann. Pure Appl. Log., 2012

Inner models with large cardinal features usually obtained by forcing.
Arch. Math. Log., 2012

The Mate-in-n Problem of Infinite Chess Is Decidable.
Proceedings of the How the World Computes, 2012

2011
Infinite Time Decidable Equivalence Relation Theory.
Notre Dame J. Formal Log., 2011

2010
Indestructible Strong Unfoldability.
Notre Dame J. Formal Log., 2010

A Natural Model of the Multiverse Axioms.
Notre Dame J. Formal Log., 2010

2009
Tall cardinals.
Math. Log. Q., 2009

Degrees of rigidity for Souslin trees.
J. Symb. Log., 2009

Post's Problem for ordinal register machines: An explicit approach.
Ann. Pure Appl. Log., 2009

Some Second Order Set Theory.
Proceedings of the Logic and Its Applications, Third Indian Conference, 2009

2008
Changing the heights of automorphism towers by forcing with Souslin trees over L.
J. Symb. Log., 2008

2007
A Survey of Infinite Time Turing Machines.
Proceedings of the Machines, Computations, and Universality, 5th International Conference, 2007

Post's Problem for Ordinal Register Machines.
Proceedings of the Computation and Logic in the Real World, 2007

The Complexity of Quickly ORM-Decidable Sets.
Proceedings of the Computation and Logic in the Real World, 2007

2006
The Halting Problem Is Decidable on a Set of Asymptotic Probability One.
Notre Dame J. Formal Log., 2006

Diamond (on the regulars) can fail at any strongly unfoldable cardinal.
Ann. Pure Appl. Log., 2006

2005
The Necessary Maximality Principle for c. c. c. forcing is equiconsistent with a weakly compact cardinal.
Math. Log. Q., 2005

P != NP cap co-NP for Infinite Time Turing Machines.
J. Log. Comput., 2005

Infinitary Computability with Infinite Time Turing Machines.
Proceedings of the New Computational Paradigms, 2005

2003
P<sup>f</sup> != NP<sup>f</sup> for almost all f.
Math. Log. Q., 2003

A simple maximality principle.
J. Symb. Log., 2003

Exactly controlling the non-supercompact strongly compact cardinals.
J. Symb. Log., 2003

2002
Infinite Time Turing Machines.
Minds Mach., 2002

Indestructibility and The Level-By-Level Agreement Between Strong Compactness and Supercompactness.
J. Symb. Log., 2002

Post's problem for supertasks has both positive and negative solutions.
Arch. Math. Log., 2002

2001
Infinite Time Turing Machines With Only One Tape.
Math. Log. Q., 2001

Indestructible Weakly Compact Cardinals and the Necessity of Supercompactness for Certain Proof Schemata.
Math. Log. Q., 2001

Unfoldable Cardinals and The GCH.
J. Symb. Log., 2001

The Wholeness Axioms and V=HOD.
Arch. Math. Log., 2001

Supertask computation.
Proceedings of the Classical and New Paradigms of Computation and their Complexity Hierarchies, 2001

2000
Infinite Time Turing Machines.
J. Symb. Log., 2000

Changing the Heights of Automorphism Towers.
Ann. Pure Appl. Log., 2000

The Lottery Preparation.
Ann. Pure Appl. Log., 2000

1999
Gap forcing: Generalizing the Lévy-Solovay theorem.
Bull. Symb. Log., 1999

1998
Superdestructibility: A Dual to Laver's Indestructibility.
J. Symb. Log., 1998

Small Forcing Makes Any Cardinal Superdestructable.
J. Symb. Log., 1998

Destruction or Preservation as You Like It.
Ann. Pure Appl. Log., 1998

1997
Canonical Seeds and Prikiry Trees.
J. Symb. Log., 1997

1994
Fragile Measurability.
J. Symb. Log., 1994


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