Paul E. Howard

According to our database, Paul E. Howard authored at least 37 papers between 1973 and 2023.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of two.

2023

Models of sfZFA in which every linearly ordered set can be well ordered.

Paul E. Howard, Eleftherios Tachtsis

Arch. Math. Log., November, 2023

2017

On infinite-dimensional Banach spaces and weak forms of the axiom of choice.

Paul E. Howard, Eleftherios Tachtsis

Math. Log. Q., 2017

2016

Finiteness Classes and Small Violations of Choice.

Horst Herrlich, Paul E. Howard, Eleftherios Tachtsis

Notre Dame J. Formal Log., 2016

On the set-theoretic strength of the existence of disjoint cofinal sets in posets without maximal elements.

Paul E. Howard, Denis I. Saveliev, Eleftherios Tachtsis

Math. Log. Q., 2016

No decreasing sequence of cardinals.

Paul E. Howard, Eleftherios Tachtsis

Arch. Math. Log., 2016

2014

On a variant of Rado's selection lemma and its equivalence with the Boolean prime ideal theorem.

Paul E. Howard, Eleftherios Tachtsis

Arch. Math. Log., 2014

2013

On vector spaces over specific fields without choice.

Paul E. Howard, Eleftherios Tachtsis

Math. Log. Q., 2013

2011

The finiteness of compact Boolean algebras.

Paul E. Howard

Math. Log. Q., 2011

2008

Unions and the axiom of choice.

Omar De la Cruz, Eric J. Hall, Paul E. Howard, Kyriakos Keremedis, Jean E. Rubin

Math. Log. Q., 2008

2007

Bases, spanning sets, and the axiom of choice.

Paul E. Howard

Math. Log. Q., 2007

2005

If vector spaces are projective modules then multiple choice holds.

Paul E. Howard

Math. Log. Q., 2005

Properties of the real line and weak forms of the Axiom of Choice.

Omar De la Cruz, Eric J. Hall, Paul E. Howard, Kyriakos Keremedis, Eleftherios Tachtsis

Math. Log. Q., 2005

Divisibility of Dedekind finite Sets.

David Blair, Andreas Blass, Paul E. Howard

J. Math. Log., 2005

2003

Metric spaces and the axiom of choice.

Omar De la Cruz, Eric J. Hall, Paul E. Howard, Kyriakos Keremedis, Jean E. Rubin

Math. Log. Q., 2003

Products of compact spaces and the axiom of choice II.

Omar De la Cruz, Eric J. Hall, Paul E. Howard, Kyriakos Keremedis, Jean E. Rubin

Math. Log. Q., 2003

2002

Products of Compact Spaces and the Axiom of Choice.

Omar De la Cruz, Eric J. Hall, Paul E. Howard, Kyriakos Keremedis, Jean E. Rubin

Math. Log. Q., 2002

Definitions of Compactness and The Axiom of Choice.

Omar De la Cruz, Eric J. Hall, Paul E. Howard, Jean E. Rubin, Adrienne Stanley

J. Symb. Log., 2002

2001

Non-constructive Properties of the Real Numbers.

Paul E. Howard, Kyriakos Keremedis, Jean E. Rubin, Adrienne Stanley, Eleftherios Tachtsis

Math. Log. Q., 2001

2000

Von Rimscha's Transitivity Conditions.

Paul E. Howard, Jean E. Rubin, Adrienne Stanley

Math. Log. Q., 2000

Paracompactness of Metric Spaces and the Axiom of Multiple Choice.

Paul E. Howard, Kyriakos Keremedis, Jean E. Rubin, Adrienne Stanley

Math. Log. Q., 2000

Compactness in Countable Tychonoff Products and Choice.

Paul E. Howard, Kyriakos Keremedis, Jean E. Rubin, Adrienne Stanley

Math. Log. Q., 2000

1998

Disjoint Unions of Topological Spaces and Choice.

Paul E. Howard, Kyriakos Keremedis, Herman Rubin, Jean E. Rubin

Math. Log. Q., 1998

Versions of Normality and Some Weak Forms of the Axiom of Choice.

Paul E. Howard, Kyriakos Keremedis, Herman Rubin, Jean E. Rubin

Math. Log. Q., 1998

1996

The Boolean Prime Ideal Theorem Plus Countable Choice Do Not Imply Dependent Choice.

Paul E. Howard, Jean E. Rubin

Math. Log. Q., 1996

1995

The Axiom of Choice for Well-Ordered Families and for Familes of Well-Orderable Sets.

Paul E. Howard, Jean E. Rubin

J. Symb. Log., 1995

1994

Well Ordered Subsets of Linearly Ordered Sets.

Hartmut Höft, Paul E. Howard

Notre Dame J. Formal Log., 1994

1993

The Strenght of the Delta-system Lemma.

Paul E. Howard, Jeffrey Solski

Notre Dame J. Formal Log., 1993

Variations of Rado's Lemma.

Paul E. Howard

Math. Log. Q., 1993

1992

The Axiom of Choice for Countable Collections of Countable Sets Does Not Imply the Countable Union Theorem.

Paul E. Howard

Notre Dame J. Formal Log., 1992

Russell's Alternative to the Axiom of Choice.

Norbert Brunner, Paul E. Howard

Math. Log. Q., 1992

1990

Definitions of Compact.

Paul E. Howard

J. Symb. Log., 1990

1987

Maximal p-subgroups and the axiom of choice.

Paul E. Howard, Mary Yorke

Notre Dame J. Formal Log., 1987

The Existence of Level Sets in a Free Group Implies the Axiom of Choice.

Paul E. Howard

Math. Log. Q., 1987

1985

Subgroups of a Free Group and the Axiom of Choice.

Paul E. Howard

J. Symb. Log., 1985

1984

Rado's Selection Lemma Does not Imply the Boolean Prime Ideal Theorem.

Paul E. Howard

Math. Log. Q., 1984

1978

Independence Results for Class Forms of the Axiom of Choice.

Paul E. Howard, Arthur L. Rubin, Jean E. Rubin

J. Symb. Log., 1978

1973

Limitations on the Fraenkel-Mostowski Method of Independence Proofs.

Paul E. Howard

J. Symb. Log., 1973