Bibliography

This is the complete frozen source bibliography, including uncited database records. All source fields, spellings and author/editor credits are preserved; bibliographic factual claims have not been silently corrected.

Rózsa (Rosa) Péter

Title
Rózsa (Rosa) Péter
Author
Andrásfai, Béla
Journal
Periodica Polytechnica Electrical Engineering
Volume
30
Number
2-3
Pages
139–145
Year
1986
Url
http://www.pp.bme.hu/ee/article/view/4651 (external resource; internet required)

Original bibliography source

The Princeton Mathematics Community in the 1930s: Alonzo Church

Author
Aspray, William
Title
The Princeton Mathematics Community in the 1930s: Alonzo Church
Year
1984
Note
Interview
Url
http://www.princeton.edu/mudd/finding_aids/mathoral/pmc05.htm (external resource; internet required)

Original bibliography source

Kurt Gödel and the Foundations of Mathematics: Horizons of Truth

Title
Kurt Gödel and the Foundations of Mathematics: Horizons of Truth
Author
Baaz, Matthias and Papadimitriou, Christos H. and Putnam, Hilary W. and Scott, Dana S. and Harper Jr., Charles L.
Year
2011
Publisher
Cambridge University Press
Address
Cambridge

Original bibliography source

Rózsa Péter

Author
Bailey, Ellen
Journal
Rózsa Péter
Title
Rózsa Péter
Url
http://search.ebscohost.com/login.aspx?direct=true&db=sch&AN=20916042&site=ehost-live (external resource; internet required)
Year
2006

Original bibliography source

Level Theory, Part 1: Axiomatizing the Bare Idea of a Cumulative Hierarchy of Sets

Author
Button, Tim
Journal
The Bulletin of Symbolic Logic
Year
2021
Title
Level Theory, Part 1: Axiomatizing the Bare Idea of a Cumulative Hierarchy of Sets
Volume
27
Number
4
Pages
436-460

Original bibliography source

A note on the Entscheidungsproblem

Author
Alonzo Church
Title
A note on the Entscheidungsproblem
Journal
The Journal of Symbolic Logic
Year
1936
Volume
1
Pages
40–41

Original bibliography source

An Unsolvable Problem of Elementary Number Theory

Title
An Unsolvable Problem of Elementary Number Theory
Author
Alonzo Church
Journal
American Journal of Mathematics
Volume
58
Year
1936
Pages
345–363

Original bibliography source

Zala Films: Julia Robinson and Hilbert's Tenth Problem

Author
Csicsery, George
Title
Zala Films: Julia Robinson and Hilbert's Tenth Problem
Year
2016
Url
http://www.zalafilms.com/films/juliarobinson.html (external resource; internet required)

Original bibliography source

Georg Cantor: His Mathematics and Philosophy of the Infinite

Title
Georg Cantor: His Mathematics and Philosophy of the Infinite
Author
Dauben, Joseph
Year
1990
Publisher
Princeton University Press
Address
Princeton

Original bibliography source

Georg Cantor and the Battle for Transfinite Set Theory

Title
Georg Cantor and the Battle for Transfinite Set Theory
Author
Dauben, Joseph
Year
2004
Journal
Journal of the ACMS
Volume
1
Pages
1–17

Original bibliography source

The Decision Problem for Exponential Diophantine Equations

Url
http://www.jstor.org/stable/1970289 (external resource; internet required)
Author
Martin Davis and Hilary Putnam and Julia Robinson
Journal
Annals of Mathematics
Number
3
Pages
425-436
Title
The Decision Problem for Exponential Diophantine Equations
Volume
74
Year
1961

Original bibliography source

Logical Dilemmas: The Life and Work of Kurt Gödel

Title
Logical Dilemmas: The Life and Work of Kurt Gödel
Author
John Dawson, Jr.
Year
1997
Publisher
CRC Press
Address
Boca Raton

Original bibliography source

Emmy Noether 1882–1935

Title
Emmy Noether 1882–1935
Author
Dick, Auguste
Year
1981
Publisher
Birkhäuser
Address
Boston

Original bibliography source

The Bertrand Russell Research Centre

Author
Duncan, Arlene
Title
The Bertrand Russell Research Centre
Year
2015
Url
http://russell.mcmaster.ca/ (external resource; internet required)

Original bibliography source

Ernst Zermelo. Collected Works

Title
Ernst Zermelo. Collected Works
Volume
1
Author
Ebbinghaus, Heinz-Dieter and Fraser, Craig G. and Kanamori, Akihiro
Year
2010
Publisher
Springer-Verlag
Address
Berlin

Original bibliography source

Ernst Zermelo: Collected Works

Title
Ernst Zermelo: Collected Works
Volume
2
Author
Ebbinghaus, Heinz-Dieter and Kanamori, Akihiro
Year
2013
Publisher
Springer-Verlag
Address
Berlin

Original bibliography source

Ernst Zermelo: An Approach to his Life and Work

Title
Ernst Zermelo: An Approach to his Life and Work
Author
Ebbinghaus, Heinz-Dieter
Year
2015
Publisher
Springer-Verlag
Address
Berlin

Original bibliography source

Alonzo Church: Life and Work

Title
Alonzo Church: Life and Work
Author
Herbert B. Enderton
Editor
Tyler Burge and Herbert B. Enderton
Booktitle
The Collected Works of Alonzo Church
Publisher
MIT Press
Year
2019
Address
Cambridge, MA

Original bibliography source

Julia Bowman Robinson 1919–1985

Author
Feferman, Solomon
Year
1994
Title
Julia Bowman Robinson 1919–1985
Journal
Biographical Memoirs of the National Academy of Sciences
Volume
63
Pages
1–28
Publisher
National Academies Press
Url
http://www.nasonline.org/publications/biographical-memoirs/memoir-pdfs/robinson-julia.pdf (external resource; internet required)

Original bibliography source

Alfred Tarski: Life and Logic

Title
Alfred Tarski: Life and Logic
Author
Feferman, Anita and Feferman, Solomon
Year
2004
Publisher
Cambridge University Press
Address
Cambridge

Original bibliography source

Stuff you Missed in History Class: Emmy Noether, Mathematics Trailblazer

Author
Frey, Holly and Wilson, Tracy V.
Title
Stuff you Missed in History Class: Emmy Noether, Mathematics Trailblazer
Year
2015
Note
Podcast audio
Url
https://www.iheart.com/podcast/stuff-you-missed-in-history-cl-21124503/episode/emmy-noether-mathematics-trailblazer-30207491/ (external resource; internet required)

Original bibliography source

Untersuchungen über das logische Schließen I

Author
Gerhard Gentzen
Year
1935
Title
Untersuchungen über das logische Schließen I
Journal
Mathematische Zeitschrift
Volume
39
Issue
1
Pages
176–210
Note
English translation in Manfred E. Szabo (1969), pp. 68–131
Doi
10.1007/BF01201353

Original bibliography source

Untersuchungen über das logische Schließen II

Author
Gerhard Gentzen
Year
1935
Title
Untersuchungen über das logische Schließen II
Journal
Mathematische Zeitschrift
Volume
39
Issue
1
Pages
176–210, 405–431
Note
English translation in Manfred E. Szabo (1969), pp. 68–131
Doi
10.1007/BF01201363

Original bibliography source

The Collected Papers of Gerhard Gentzen

Author
Szabo, Manfred E.
Year
1969
Title
The Collected Papers of Gerhard Gentzen
Booktitle
The Collected Papers of Gerhard Gentzen
Publisher
North-Holland
Address
Amsterdam

Original bibliography source

Über die Vollständigkeit des Logikkalküls [On the Completeness of the Calculus of Logic]

Author
Kurt Gödel
Year
1929
Title
Über die Vollständigkeit des Logikkalküls [On the Completeness of the Calculus of Logic]
Note
Reprinted and translated in Solomon Feferman and John W. Dawson Jr. and Stephen C. Kleene and Gregory H. Moore and Robert M. Solovay and Jean van Heijenoort (1986), pp. 60–101
School
Universität Wien
Type
Dissertation

Original bibliography source

Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I [On Formally Undecidable Propositions of Principia Mathematica and Related Systems I]

Author
Kurt Gödel
Title
Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I [On Formally Undecidable Propositions of Principia Mathematica and Related Systems I]
Journal
Monatshefte für Mathematik und Physik
Year
1931
Volume
38
Pages
173–198
Note
Reprinted and translated in Solomon Feferman and John W. Dawson Jr. and Stephen C. Kleene and Gregory H. Moore and Robert M. Solovay and Jean van Heijenoort (1986), pp. 144–195
Doi
10.1007/BF01700692

Original bibliography source

Kurt Gödel: Collected Works. Vol. 1: Publications 1929–1936

Title
Kurt Gödel: Collected Works. Vol. 1: Publications 1929–1936
Author
Feferman, Solomon and Dawson Jr., John W. and Kleene, Stephen C. and Moore, Gregory H. and Solovay, Robert M. and van Heijenoort, Jean
Year
1986
Publisher
Oxford University Press
Address
Oxford

Original bibliography source

Kurt Gödel: Collected Works. Vol. 2: Publications 1938–1974

Title
Kurt Gödel: Collected Works. Vol. 2: Publications 1938–1974
Author
Feferman, Solomon and Dawson Jr., John W. and Kleene, Stephen C. and Moore, Gregory H. and Solovay, Robert M. and van Heijenoort, Jean
Year
1990
Publisher
Oxford University Press
Address
Oxford

Original bibliography source

Towards a Biography of Georg Cantor

Title
Towards a Biography of Georg Cantor
Author
Grattan-Guinness, Ivor
Journal
Annals of Science
Volume
27
Number
4
Pages
345–391
Year
1971

Original bibliography source

Reading Frege's Grundgesetze

Author
Richard Kimberly Heck
Title
Reading Frege's Grundgesetze
Publisher
Oxford University Press
Year
2012
Address
Oxford

Original bibliography source

Alan Turing: The Enigma

Title
Alan Turing: The Enigma
Author
Hodges, Andrew
Year
2014
Publisher
Vintage
Address
London

Original bibliography source

The Imitation Game

Author
Morten Tyldum
Title
The Imitation Game
Year
2014
Note
Motion picture

Original bibliography source

Sound Clips of Bertrand Russell Speaking

Author
Irvine, Andrew David
Title
Sound Clips of Bertrand Russell Speaking
Year
2015
Url
http://plato.stanford.edu/entries/russell/russell-soundclips.html (external resource; internet required)

Original bibliography source

Partition and revision: The semantics of counterfactuals

Author
Kratzer, Angelika
Title
Partition and revision: The semantics of counterfactuals
Journal
Journal of Philosophical Logic
Year
1981
Volume
10
Number
2
Pages
201–216
Doi
10.1007/BF00248849

Original bibliography source

Bertrand Russell

Author
LibriVox
Title
Bertrand Russell
Year
n.d.
Note
Collection of public domain audiobooks
Url
https://librivox.org/author/1508?primary_key=1508&search_category=author&search_page=1&search_form=get_results (external resource; internet required)

Original bibliography source

The Partially Examined Life: Gödel on Math

Author
Linsenmayer, Mark
Title
The Partially Examined Life: Gödel on Math
Year
2014
Note
Podcast audio
Url
http://www.partiallyexaminedlife.com/2014/06/16/ep95-godel/ (external resource; internet required)

Original bibliography source

Alonzo Church's JSL Reviews

Author
MacFarlane, John
Title
Alonzo Church's JSL Reviews
Year
2015
Url
http://johnmacfarlane.net/church.html (external resource; internet required)

Original bibliography source

Believing the Axioms I

Author
Penelope Maddy
Title
Believing the Axioms I
Journal
The Journal of Symbolic Logic
Year
1988
Volume
53
Number
2
Pages
481–511

Original bibliography source

Believing the Axioms II

Author
Penelope Maddy
Title
Believing the Axioms II
Journal
The Journal of Symbolic Logic
Year
1988
Volume
53
Number
3
Pages
736–64

Original bibliography source

Forall x: Calgary. An Introduction to Formal Logic

Title
Forall x: Calgary. An Introduction to Formal Logic
Author
Magnus, P. D. and Button, Tim and Loftis, J. Robert and Thomas-Bolduc, Aaron and Trueman, Robert and Zach, Richard
Year
2021
Edition
F21
Publisher
Open Logic Project
Address
Calgary
Url
https://forallx.openlogicproject.org/ (external resource; internet required)
Copyright
All rights reserved
Keywords
textbook

Original bibliography source

My Collaboration with Julia Robinson

Title
My Collaboration with Julia Robinson
Author
Matijasevich, Yuri
Journal
The Mathematical Intelligencer
Volume
14
Number
4
Pages
38–45
Year
1992

Original bibliography source

Logic's Lost Genius: The Life of Gerhard Gentzen

Title
Logic's Lost Genius: The Life of Gerhard Gentzen
Author
Menzler-Trott, Eckart
Year
2007
Publisher
American Mathematical Society
Address
Providence

Original bibliography source

Set theory and higher-order logic

Author
Montague, Richard
Title
Set theory and higher-order logic
Booktitle
Formal systems and recursive functions
Publisher
North-Holland
Year
1965
Editor
John Crossley and Michael Dummett
Pages
131–48
Address
Amsterdam
Note
Proceedings of the Eight Logic Colloquium, July 1963

Original bibliography source

Emmy Noether: Gesammelte Abhandlungen—Collected Papers

Title
Emmy Noether: Gesammelte Abhandlungen—Collected Papers
Author
Jacobson, Nathan
Year
1983
Publisher
Springer-Verlag
Address
Berlin

Original bibliography source

Rózsa Péter

Author
O'Connor, John J. and Robertson, Edmund F.
Title
Rózsa Péter
Year
2014
Url
http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Peter.html (external resource; internet required)

Original bibliography source

Emmy Noether: Her Life, Work, and Influence

Author
Perimeter Institute
Title
Emmy Noether: Her Life, Work, and Influence
Year
2015
Note
Video Lecture
Url
https://www.youtube.com/watch?v=tNNyAyMRsgE (external resource; internet required)

Original bibliography source

Über den Zusammenhang der verschiedenen Begriffe der rekursiven Funktion

Author
Péter, Rózsa
Title
Über den Zusammenhang der verschiedenen Begriffe der rekursiven Funktion
Journal
Mathematische Annalen
Volume
110
Year
1935a
Pages
612–632
Doi
10.1007/BF01448046

Original bibliography source

Konstruktion nichtrekursiver Funktionen

Author
Péter, Rózsa
Title
Konstruktion nichtrekursiver Funktionen
Journal
Mathematische Annalen
Volume
111
Year
1935b
Pages
42–60
Doi
10.1007/BF01472200

Original bibliography source

Rekursive Funktionen

Author
Péter, Rózsa
Title
Rekursive Funktionen
Publisher
Akademiai Kiado
Address
Budapest
Year
1951
Note
English translation in (Rózsa Péter, 1967)

Original bibliography source

Recursive Functions

Author
Péter, Rózsa
Title
Recursive Functions
Publisher
Academic Press
Address
New York
Year
1967

Original bibliography source

Playing with Infinity

Title
Playing with Infinity
Author
Péter, Rózsa
Year
2010
Address
New York
Publisher
Dover
Url
https://books.google.ca/books?id=6V3wNs4uv_4C&lpg=PP1&ots=BkQZaHcR99&lr&pg=PP1#v=onepage&q&f=false (external resource; internet required)

Original bibliography source

The Turing Problem

Author
Radiolab
Title
The Turing Problem
Year
2012
Note
Podcast audio
Url
http://www.radiolab.org/story/193037-turing-problem/ (external resource; internet required)

Original bibliography source

Talking to Machines

Author
Radiolab
Title
Talking to Machines
Year
N.D.
Note
Podcast audio
Url
http://www.radiolab.org/story/137407-talking-to-machines/ (external resource; internet required)

Original bibliography source

The Autobiography of Julia Robinson

Title
The Autobiography of Julia Robinson
Author
Reid, Constance
Journal
The College Mathematics Journal
Volume
17
Issue
1
Pages
3–21
Year
1986

Original bibliography source

Julia: A Life in Mathematics

Author
Constance Reid
Title
Julia: A Life in Mathematics
Publisher
Cambridge University Press
Year
1996
Address
Cambridge
Url
https://books.google.ca/books?id=lRtSzQyHf9UC&lpg=PP1&pg=PP1#v=onepage&q&f=false (external resource; internet required)

Original bibliography source

Definability and Decision Problems in Arithmetic

Url
http://www.jstor.org/stable/2266510 (external resource; internet required)
Author
Julia Robinson
Journal
The Journal of Symbolic Logic
Number
2
Pages
98-114
Title
Definability and Decision Problems in Arithmetic
Volume
14
Year
1949

Original bibliography source

The Collected Works of Julia Robinson

Author
Robinson, Julia
Year
1996
Title
The Collected Works of Julia Robinson
Publisher
American Mathematical Society
Address
Providence

Original bibliography source

A Song about Georg Cantor

Author
Rose, Daniel
Title
A Song about Georg Cantor
Year
2012
Note
Audio Recording
Url
https://www.youtube.com/watch?v=QUP5Z4Fb5k4 (external resource; internet required)

Original bibliography source

On Denoting

Author
Bertrand Russell
Title
On Denoting
Journal
Mind
Year
1905
Volume
14
Pages
479–493

Original bibliography source

The Autobiography of Bertrand Russell

Author
Bertrand Russell
Year
1967
Title
The Autobiography of Bertrand Russell
Volume
1
Publisher
Allen and Unwin
Address
London

Original bibliography source

The Autobiography of Bertrand Russell

Author
Bertrand Russell
Year
1968
Title
The Autobiography of Bertrand Russell
Volume
2
Publisher
Allen and Unwin
Address
London

Original bibliography source

The Autobiography of Bertrand Russell

Author
Bertrand Russell
Year
1969
Title
The Autobiography of Bertrand Russell
Volume
3
Publisher
Allen and Unwin
Address
London

Original bibliography source

Collected Papers

Author
Bertrand Russell
Year
1983
Title
Collected Papers
Publisher
Routledge
Address
London

Original bibliography source

Bertrand Russell on Smoking

Author
Bertrand Russell
Title
Bertrand Russell on Smoking
Year
n.d.
Note
Video Interview
Url
https://www.youtube.com/watch?v=80oLTiVW_lc (external resource; internet required)

Original bibliography source

A Brief History of Mathematics: Georg Cantor

Author
Marcus du Sautoy
Title
A Brief History of Mathematics: Georg Cantor
Year
2014
Note
Audio Recording
Url
http://www.bbc.co.uk/programmes/b00ss1j0 (external resource; internet required)

Original bibliography source

Mathematicians under the Nazis

Title
Mathematicians under the Nazis
Author
Segal, Sanford L.
Year
2014
Publisher
Princeton University Press
Address
Princeton

Original bibliography source

Kurt Gödel: Das Album–The Album

Title
Kurt Gödel: Das Album–The Album
Author
Sigmund, Karl and Dawson, John and Mühlberger, Kurt and Enzensberger, Hans Magnus and Kennedy, Juliette
Journal
The Mathematical Intelligencer
Volume
29
Number
3
Pages
73–76
Year
2007
Publisher
Springer

Original bibliography source

An Introduction to Gödel's Theorems

Title
An Introduction to Gödel's Theorems
Author
Smith, Peter
Year
2013
Publisher
Cambridge University Press
Address
Cambridge

Original bibliography source

Kurt Gödel Society

Author
Beckmann, Arnold and Preining, Norbert
Title
Kurt Gödel Society
Year
2004
Url
http://kgs.logic.at/index.php?id=2 (external resource; internet required)

Original bibliography source

A theory of conditionals

Author
Stalnaker, Robert C.
Title
A theory of conditionals
Pages
98-112
Boobktitle
Studies in Logical Theory
Editor
Nicholas Rescher
Publisher
Basil Blackwell
Address
Oxford
Year
1968

Original bibliography source

BBC Horizon: The Strange Life and Death of Dr. Turing

Author
Sykes, Christopher
Title
BBC Horizon: The Strange Life and Death of Dr. Turing
Year
1992
Url
https://www.youtube.com/watch?v=gyusnGbBSHE (external resource; internet required)

Original bibliography source

Memoirs of a Proof Theorist: Gödel and Other Logicians

Title
Memoirs of a Proof Theorist: Gödel and Other Logicians
Author
Takeuti, Gaisi and Passell, Nicholas and Yasugi, Mariko
Year
2003
Publisher
World Scientific
Address
Singapore

Original bibliography source

Interview with Róza Péter

Title
Interview with Róza Péter
Author
Tamassy, Istvan
Journal
Modern Logic
Volume
4
Number
3
Pages
277–280
Year
1994

Original bibliography source

The Collected Works of Alfred Tarski

Author
Alfred Tarski
Year
1981
Title
The Collected Works of Alfred Tarski
Volume
I–IV
Publisher
Birkhäuser
Address
Basel

Original bibliography source

Logic, Semantics, Metamathematics

Author
John Corcoran
Title
Logic, Semantics, Metamathematics
Publisher
Hackett
Year
1983
Address
Indianapolis
Edition
2nd

Original bibliography source

LEGO Turing Machine

Author
Theelen, Andre
Title
LEGO Turing Machine
Year
2012
Url
https://www.youtube.com/watch?v=FTSAiF9AHN4 (external resource; internet required)

Original bibliography source

On computable numbers, with an application to the “Entscheidungsproblem”

Author
Alan M. Turing
Title
On computable numbers, with an application to the “Entscheidungsproblem”
Journal
Proceedings of the London Mathematical Society, 2nd Series
Year
1937
Volume
42
Pages
230–265

Original bibliography source

Reflections on Kurt Gödel

Title
Reflections on Kurt Gödel
Author
Wang, Hao
Year
1990
Publisher
MIT Press
Address
Cambridge

Original bibliography source

Beweis, daß jede Menge wohlgeordnet werden kann

Author
Ernst Zermelo
Title
Beweis, daß jede Menge wohlgeordnet werden kann
Journal
Mathematische Annalen
Year
1904
Volume
59
Pages
514–516
Note
English translation in Heinz-Dieter Ebbinghaus and Craig G. Fraser and Akihiro Kanamori (2010), pp. 115–119

Original bibliography source

Untersuchungen über die Grundlagen der Mengenlehre I

Title
Untersuchungen über die Grundlagen der Mengenlehre I
Author
Zermelo, Ernst
Journal
Mathematische Annalen
Volume
65
Number
2
Pages
261–281
Year
1908
Note
English translation in Heinz-Dieter Ebbinghaus and Craig G. Fraser and Akihiro Kanamori (2010), pp. 189-229

Original bibliography source

Set Theory and its Philosophy

Author
Potter, Michael
Title
Set Theory and its Philosophy
Year
2004
Address
Oxford
Publisher
Oxford University Press

Original bibliography source

David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1917–1933

Title
David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1917–1933
Year
2013
Author
Hilbert, David
Editor
Ewald, William Bragg and Sieg, Wilfried
Address
Heidelberg
Publisher
Springer

Original bibliography source

The Analyst; or, a Discourse Adressed to an Infidel Mathematician

Year
1734
Author
Berkeley, George
Title
The Analyst; or, a Discourse Adressed to an Infidel Mathematician
Place
London

Original bibliography source

Was Cantor Surprised?

Author
Gouvêa, Fernando Q.
Title
Was Cantor Surprised?
Journal
American Mathematical Monthly
Year
2011
Volume
118
Number
3
Pages
198-209

Original bibliography source

Sur une courbe, qui remplit toute une aire plane

Author
Peano, Giuseppe
Title
Sur une courbe, qui remplit toute une aire plane
Journal
Mathematische Annalen
Year
1890
Volume
36
Number
1
Pages
157–60

Original bibliography source

Iteration Again

Author
Boolos, George
Title
Iteration Again
Journal
Philosophical Topics
Year
1989
Volume
17
Number
2
Pages
5–21

Original bibliography source

Ein Beitrag zur Mannigfaltigkeitslehre

Author
Cantor, Georg
Title
Ein Beitrag zur Mannigfaltigkeitslehre
Journal
Journal für die reine und angewandte Mathematik
Year
1878
Volume
84
Pages
242–58

Original bibliography source

Die Grundlagen der Arithmetik: Eine logisch mathematische Untersuchung über den Begriff der Zahl

Title
Die Grundlagen der Arithmetik: Eine logisch mathematische Untersuchung über den Begriff der Zahl
Publisher
Wilhelm Koebner
Year
1884
Author
Frege, Gottlob
Address
Breslau
Note
Translation in Gottlob Frege (1953)

Original bibliography source

Foundations of Arithmetic

Address
Oxford
Edition
2nd
Title
Foundations of Arithmetic
Publisher
Basil Blackwell & Mott
Author
Frege, Gottlob
Editor
J. L. Austin
Year
1953

Original bibliography source

Sur la décomposition des ensembles de points en parties respectivement congruentes

Author
Banach, Stefan and Tarski, Alfred
Title
Sur la décomposition des ensembles de points en parties respectivement congruentes
Journal
Fundamenta Mathematicae
Volume
6
Pages
244–77
Year
1924

Original bibliography source

Hilbert-Type Space-Filling Curves

Author
Rose, Nicholas J
Title
Hilbert-Type Space-Filling Curves
Year
2010
Url
https://web.archive.org/web/20151010184939/http://www4.ncsu.edu/~njrose/pdfFiles/HilbertCurve.pdf (external resource; internet required)

Original bibliography source

Stevin Numbers and Reality

Year
2012
Author
Katz, Karin Usadi and Katz, Mikhail G.
Title
Stevin Numbers and Reality
Journal
Foundations of Science
Volume
17
Number
2
Pages
109–23

Original bibliography source

The Power of Mathematics

Author
Conway, John
Title
The Power of Mathematics
Editor
Blackwell, Alan and MacKay, David
Booktitle
Power
Series
Darwin College Lectures
Publisher
Cambridge University Press
Address
Cambridge
Year
2006
Url
http://www.cs.toronto.edu/~mackay/conway.pdf (external resource; internet required)

Original bibliography source

Visual Thinking in Mathematics

Author
Giaquinto, Marcus
Title
Visual Thinking in Mathematics
Year
2007
Publisher
Oxford University Press
Address
Oxford

Original bibliography source

The Banach-Tarski Paradox

Author
Weston, Tom
Title
The Banach-Tarski Paradox
Year
2003
Url
http://people.math.umass.edu/~weston/oldpapers/banach.pdf (external resource; internet required)

Original bibliography source

Was sind und was sollen die Zahlen?

Title
Was sind und was sollen die Zahlen?
Publisher
Vieweg
Year
1888
Author
Dedekind, Richard
Address
Braunschweig
Translator
Ewald, William Bragg

Original bibliography source

Ähnliche (deutliche) Abbildung und ähnliche Systeme (11 July 1887)

Author
Dedekind, Richard
Title
Ähnliche (deutliche) Abbildung und ähnliche Systeme (11 July 1887)
Booktitle
Gesammelte mathematische Werke
Publisher
Friedrich Vieweg & Sohn
Year
1932
Pages
447–449
Address
Braunschweig

Original bibliography source

From Frege to Gödel: A Source Book in Mathematical Logic, 1879–1931

Author
Heijenoort, Jean van
Title
From Frege to Gödel: A Source Book in Mathematical Logic, 1879–1931
Publisher
Harvard University Press
Address
Cambridge, MA
Year
1967

Original bibliography source

Set Theory: An Introduction to Independence Proofs

Author
Kunen, Kenneth
Title
Set Theory: An Introduction to Independence Proofs
Publisher
North Holland
Address
New York
Year
1980

Original bibliography source

The Iterative Conception of Set

Author
Boolos, George
Title
The Iterative Conception of Set
Year
1971
Journal
The Journal of Philosophy
Volume
68
Number
8
Pages
215–31

Original bibliography source

Set Theory and the Continuum Hypothesis

Title
Set Theory and the Continuum Hypothesis
Publisher
Benjamin
Year
1966
Author
Cohen, Paul J.
Address
Reading, MA

Original bibliography source

Introduction to Mathematical Philosophy

Author
Russell, Bertrand
Title
Introduction to Mathematical Philosophy
Year
1919
Address
London
Publisher
Allen & Unwin

Original bibliography source

Über die stetige Abbildung einer Linie auf ein Flächenstück

Author
Hilbert, David
Title
Über die stetige Abbildung einer Linie auf ein Flächenstück
Journal
Mathematische Annalen
Year
1891
Volume
38
Number
3
Pages
459–460

Original bibliography source

Untersuchungen über die Grundlagen der Mengenlehre I

Author
Zermelo, Ernst
Title
Untersuchungen über die Grundlagen der Mengenlehre I
Journal
Mathematische Annalen
Year
1908
Volume
65
Pages
261–81

Original bibliography source

Über das Problem der Wohlordnung

Author
Hartogs, Friedrich
Title
Über das Problem der Wohlordnung
Journal
Mathematische Annalen
Year
1915
Volume
76
Pages
438–43

Original bibliography source

Sul problema della misura dei gruppi di punti di una retta

Author
Vitali, Giuseppe
Title
Sul problema della misura dei gruppi di punti di una retta
Publisher
Gamberini e Parmeggiani
Year
1905
Address
Bologna

Original bibliography source

Principia Mathematica

Title
Principia Mathematica
Publisher
Cambridge University Press
Year
1910
Author
Whitehead, Alfred North and Russell, Bertrand
Volume
1
Address
Cambridge

Original bibliography source

The Foundations of Mathematics

Author
Ramsey, Frank Plumpton
Title
The Foundations of Mathematics
Journal
Proceedings of the London Mathematical Society
Year
1925
Volume
25
Pages
338–384

Original bibliography source

Predicative and Impredicative Definitions

Author
Linnebo, Øystein
Title
Predicative and Impredicative Definitions
Journal
Internet Encyclopedia of Philosophy
Year
2010
Lastchecked
15 Oct 2014
Url
http://www.iep.utm.edu/predicat/ (external resource; internet required)

Original bibliography source

Eine Axiomatisierung der Mengenlehre

Author
von Neumann, John
Title
Eine Axiomatisierung der Mengenlehre
Journal
Journal für die reine und angewandte Mathematik
Year
1925
Volume
154
Pages
219–40

Original bibliography source

What numbers could not be

Author
Benacerraf, Paul
Title
What numbers could not be
Journal
The Philosophical Review
Year
1965
Volume
74
Number
1
Pages
47–73

Original bibliography source

Semantic closure and non-finite axiomatizability I

Author
Montague, Richard
Title
Semantic closure and non-finite axiomatizability I
Booktitle
Infinitistic Methods: Proceedings of the Symposium on Foundations of Mathematics (Warsaw 1959)
Publisher
Pergamon
Year
1961
Pages
45–69
Address
New York

Original bibliography source

Una questione sui numeri transfiniti

Author
Burali-Forti, Cesare
Title
Una questione sui numeri transfiniti
Journal
Rendiconti del Circolo Matematico di Palermo
Year
1897
Volume
11
Pages
154–64

Original bibliography source

Grundlagen einer allgemeinen Mannigfaltigkeitslehre. Ein mathematisch-philosophischer Versuch in der Lehre des Unendlichen

Title
Grundlagen einer allgemeinen Mannigfaltigkeitslehre. Ein mathematisch-philosophischer Versuch in der Lehre des Unendlichen
Publisher
Teubner
Year
1883
Author
Cantor, Georg
Address
Leipzig

Original bibliography source

Conceptions of Set and the Foundations of Mathematics

Author
Incurvati, Luca
Title
Conceptions of Set and the Foundations of Mathematics
Year
2020
Address
Cambridge
Publisher
Cambridge University Press

Original bibliography source

Set Theory: Its Justification, Logic, and Extent

Author
Incurvati, Luca
Title
Set Theory: Its Justification, Logic, and Extent
Year
2010
School
Cambridge University

Original bibliography source

The real numbers: Stevin to Hilbert

Author
O'Connor, John J. and Robertson, Edmund F.
Title
The real numbers: Stevin to Hilbert
Year
2005
Url
http://www-history.mcs.st-and.ac.uk/HistTopics/Real_numbers_2.html (external resource; internet required)

Original bibliography source

Axioms of Set Theory

Author
Shoenfield, Joseph R.
Title
Axioms of Set Theory
Booktitle
Handbook of Mathematical Logic
Publisher
North-Holland
Year
1977
Editor
Jon Barwise
Pages
321–44
Address
London

Original bibliography source

Über eine elementare Frage der Mannigfaltigkeitslehre

Author
Cantor, Georg
Title
Über eine elementare Frage der Mannigfaltigkeitslehre
Journal
Jahresbericht der deutschen Mathematiker-Vereinigung
Year
1892
Volume
1
Pages
75–8
Address
Leipzig
Publisher
Teubner

Original bibliography source

A Treatise of Human Nature

Title
A Treatise of Human Nature
Year
1740
Author
Hume, David
Address
London

Original bibliography source

Axiomatizing Set Theory

Author
Scott, Dana
Title
Axiomatizing Set Theory
Booktitle
Axiomatic Set Theory II
Publisher
American Mathematical Society
Year
1974
Editor
Thomas Jech
Pages
207–14
Note
Proceedings of the Symposium in Pure Mathematics of the American Mathematical Society, July–August 1967

Original bibliography source

Must we Believe in Set Theory?

Author
Boolos, George
Title
Must we Believe in Set Theory?
Booktitle
Between Logic and Intuition: Essays in Honor of Charles Parsons
Publisher
Cambridge University Press
Year
2000
Editor
Gila Sher and Richard Tieszen
Pages
257–68
Address
Cambridge

Original bibliography source

Independence results in set theory by Cohen's method II

Author
Solomon Feferman and Azriel Levy
Title
Independence results in set theory by Cohen's method II
Journal
Notices of the American Mathematical Society
Year
1963
Volume
10
Pages
593

Original bibliography source

The independence of the continuum hypothesis

Author
Cohen, Paul J.
Title
The independence of the continuum hypothesis
Journal
Proceedings of the National Academy of Sciences of the United States of America
Year
1963
Volume
24
Pages
556–557

Original bibliography source

The consistency of the axiom of choice and the generalized continuum hypothesis

Author
Gödel, Kurt
Title
The consistency of the axiom of choice and the generalized continuum hypothesis
Journal
Proceedings of the National Academy of Sciences of the United States of America
Year
1938
Volume
50
Pages
1143–8

Original bibliography source

Über den Begriff `definit' und die Unabhängigkeit des Auswahlaxioms

Author
Fraenkel, Abraham
Title
Über den Begriff `definit' und die Unabhängigkeit des Auswahlaxioms
Journal
Sitzungsberichte der Preussischen Akadademie der Wissenschaften, Physikalisch-mathematische Klasse
Year
1922
Pages
253–257

Original bibliography source

Einige Bemerkungen zur axiomatischen Begründung der Mengenlehre

Author
Skolem, Thoralf
Title
Einige Bemerkungen zur axiomatischen Begründung der Mengenlehre
Booktitle
Wissenschaftliche Vorträge gehalten auf dem fünften Kongress der skandanivschen Mathematiker in Helsingfors vom 4. bis zum 7. Juli 1922
Place
Helsinki
Publisher
Akademiska Bokhandeln
Year
1922
Pages
137–52

Original bibliography source

The Banach-Tarski Paradox

Title
The Banach-Tarski Paradox
Publisher
Cambridge University Press
Year
2016
Author
Grzegorz Tomkowicz and Stan Wagon
Address
Cambridge

Original bibliography source

Bemerkung über den Inhalt von Punktmengen

Author
Hausdorff, Felix
Title
Bemerkung über den Inhalt von Punktmengen
Journal
Mathematische Annalen
Year
1914
Volume
75
Pages
428–34

Original bibliography source

On the decomposition of spheres

Author
Robinson, Raphael
Title
On the decomposition of spheres
Journal
Fundamenta Mathematicae
Year
1947
Volume
34
Number
1
Pages
246–60

Original bibliography source

Axiom Schemata of Strong Infinity in Axiomatic Set Theory

Author
Lévy, Azriel
Title
Axiom Schemata of Strong Infinity in Axiomatic Set Theory
Journal
Pacific Journal of Mathematics
Year
1960
Volume
10
Number
1
Pages
223–38

Original bibliography source

How to Read and Do Proofs

Author
Daniel Solow
Year
2013
Title
How to Read and Do Proofs
Publisher
Wiley
Address
Hoboken, NJ

Original bibliography source

How to Prove It: A Structured Approach

Author
Daniel J. Velleman
Title
How to Prove It: A Structured Approach
Year
2019
Edition
3rd
Publisher
Cambridge University Press
Address
Cambridge

Original bibliography source

Book of Proof

Author
Richard Hammack
Title
Book of Proof
Year
2013
Publisher
Virginia Commonwealth University
Address
Richmond, VA
Url
http://www.people.vcu.edu/~rhammack/BookOfProof/BookOfProof.pdf (external resource; internet required)

Original bibliography source

Mathematical Reasoning: Writing and Proof

Author
Ted Sandstrum
Year
2019
Title
Mathematical Reasoning: Writing and Proof
Publisher
Grand Valley State University
Address
Allendale, MI
Url
https://scholarworks.gvsu.edu/books/7/ (external resource; internet required)

Original bibliography source

More Precisely: The Math You Need to Do Philosophy

Author
Eric Steinhart
Year
2018
Title
More Precisely: The Math You Need to Do Philosophy
Publisher
Broadview
Address
Peterborough, ON
Edition
2nd

Original bibliography source

Introduction to Mathematical Arguments

Author
Michael Hutchings
Title
Introduction to Mathematical Arguments
Year
2003
Url
https://math.berkeley.edu/~hutching/teach/proofs.pdf (external resource; internet required)

Original bibliography source

How to Write Proofs: A Quick Quide

Author
Eugenia Cheng
Title
How to Write Proofs: A Quick Quide
Year
2004
Url
https://eugeniacheng.com/wp-content/uploads/2017/02/cheng-proofguide.pdf (external resource; internet required)

Original bibliography source

First-Order Logic

Author
Smullyan, Raymond M.
Publisher
Springer
Address
New York, NY
Title
First-Order Logic
Year
1968
Note
Corrected reprint, New York, NY: Dover, 1995

Original bibliography source

First-Order Logic

Author
Smullyan, Raymond M.
Publisher
Dover
Address
Mineola, NY
Title
First-Order Logic
Year
1995
Note
Corrected reprint of Raymond M. Smullyan (1968)

Original bibliography source

Formation sequences for propositional formulas

Author
Zuckerman, Martin M.
Journal
Notre Dame Journal of Formal Logic
Number
1
Pages
134–138
Title
Formation sequences for propositional formulas
Volume
14
Year
1973

Original bibliography source