Editing Axiom of choice (section)

==References==
*{{cite journal
| last1      = Blass
| first1     = Andreas
| date       = 1979
| title      = Injectivity, Projectivity and the Axiom of Choice
| journal    = Transactions of the American Mathematical Society
| volume     = 255
| pages      = 31–59
| doi        = 10.2307/1998165
| jstor = 1998165
| doi-access= free
}}
* {{cite conference
 | last = Dawson
 | first = J. W.
 | title = Shaken Foundations or Groundbreaking Realignment? A Centennial Assessment of Kurt Gödel's Impact on Logic, Mathematics, and Computer Science
 | book-title = Proceedings of the 21st Annual IEEE Symposium on Logic in Computer Science (LICS 2006)
 | date = August 2006
 | pages = 339–341
 | doi = 10.1109/LICS.2006.47
 | isbn = 978-0-7695-2631-7
 | s2cid = 15526447
}}
* {{citation|last=Fraenkel|first= Abraham|author-link=Abraham Fraenkel
|title=Der Begriff "definit" und die Unabhängigkeit des Auswahlaxioms| jfm =48.0199.02
|journal=Sitzungsberichte der Königlich Preussischen Akademie der Wissenschaften|year= 1922|pages= 253–257 }}
* {{cite book | last1 = Fraenkel | first1 = Abraham A. | author1-link = Abraham Fraenkel | last2 = Bar-Hillel | first2 = Yehoshua | author2-link = Yehoshua Bar-Hillel | last3 = Lévy | first3 = Azriel | author3-link = Azriel Lévy | edition = 2nd | location = Amsterdam-London | mr = 0345816 | pages = 69–70 | publisher = North-Holland Publishing Co. | title = Foundations of set theory | url = https://books.google.com/books?id=ah2bwOwc06MC&pg=PA69 | year = 1973| isbn = 9780080887050 }}
*{{cite journal
 | last1 = Hajnal
 | first1 = A.
 | author1-link=András Hajnal
 | last2 = Kertész
 | first2 = A.
 | title = Some new algebraic equivalents of the axiom of choice
 | journal = Publ. Math. Debrecen
 | volume = 19
 | year = 1972
 | pages = 339–340
}}
* {{cite book | last=Halmos | first=Paul R. | author-link=Paul Halmos | title=Naive Set Theory | series=The University Series in Undergraduate Mathematics | publisher=van Nostrand Company |location=Princeton, NJ| year=1960 | zbl=0087.04403| title-link=Naive Set Theory (book) }}
* {{cite book |last=Herrlich |first=Horst | author-link=Horst Herrlich |title=Axiom of Choice |publisher=[[Springer Science+Business Media|Springer-Verlag]] |location=Berlin |year=2006 |series=Lecture Notes in Math. 1876 |isbn=978-3-540-30989-5}}
* {{citation|last1=Howard|first1=Paul|last2=Rubin|first2=Jean E.|author2-link=Jean E. Rubin|title=Consequences of the axiom of choice|year=1998|publisher=[[American Mathematical Society]]|location=Providence, Rhode Island|series=Mathematical Surveys and Monographs|volume=59|isbn=9780821809778|url-access=registration|url=https://archive.org/details/consequencesofax0000howa}}
* {{cite book | last = Jech | first = Thomas | author-link = Thomas Jech | isbn = 978-0-486-46624-8 | orig-year=1973 | publisher = [[Dover Publications]] | location = Mineola, New York | title = The axiom of choice | year = 2008}}
* {{cite book|last=Jech|first=Thomas |author-link=Thomas Jech |chapter=About the Axiom of Choice |title=Handbook of Mathematical Logic |editor=John Barwise |year=1977}}
* {{cite journal |last=Lévy |first=Azriel |author-link= Azriel Lévy|year=1958 |title=The independence of various definitions of finiteness |journal=[[Fundamenta Mathematicae]] |volume=46 |pages=1–13 |url= http://matwbn.icm.edu.pl/ksiazki/fm/fm46/fm4611.pdf |archive-url=https://ghostarchive.org/archive/20221009/http://matwbn.icm.edu.pl/ksiazki/fm/fm46/fm4611.pdf |archive-date=2022-10-09 |url-status=live|doi=10.4064/fm-46-1-1-13 |doi-access=free }}
* {{cite book | last = Mac Lane | first = Saunders | author-link = Saunders Mac Lane | title = [[Mathematics, Form and Function]] | publisher = Springer-Verlag | year = 1986 | isbn = 0-387-96217-4}}
* {{cite book
 | last = Martin-Löf
 | first = Per
 | author-link = Per Martin-Löf
 | chapter = 100 years of Zermelo's axiom of choice: What was the problem with it?
 | title = Logicism, Intuitionism, and Formalism: What Has Become of Them?
 | editor1-first = Sten
 | editor1-last = Lindström
 | editor2-first = Erik
 | editor2-last = Palmgren
 | editor3-first = Krister
 | editor3-last = Segerberg
 | editor4-first = Viggo
 | editor4-last = Stoltenberg-Hansen
 | year = 2008
 | isbn = 1-4020-8925-2
}}
* {{cite book |last=Mendelson|first=Elliott|author-link=Elliott Mendelson|title=Introduction to Mathematical Logic|year=1964|publisher=Van Nostrand Reinhold|location=New York}}
* {{cite book|last1=Moore|first1=Gregory H.|title=Zermelo's axiom of choice, Its origins, development and influence|publisher=[[Springer Science+Business Media|Springer]]|year=1982|isbn=978-0-387-90670-6}}, available as a [[Dover Publications]] reprint, 2013, {{ISBN|0-486-48841-1}}.
* {{citation|first= Andrzej |last=Mostowski|author-link=Andrzej Mostowski|title= Über den Begriff einer Endlichen Menge|year=1938|journal= Comptes Rendus des Séances de la Société des Sciences et des Lettres de Varsovie, Classe III|volume=31|issue=8|pages=13–20}}
* {{cite book |last1=Moore|first1=Gregory H|title=Zermelo's axiom of choice: Its origins, development & influence|orig-year=1982|year=2013|publisher=Dover Publications|location=Mineola, New York|isbn=978-0-486-48841-7}}
* {{cite book|title=An Invitation to Abstract Algebra|date=21 December 2021|publisher=CRC Press|url=https://books.google.com/books?id=KWlPEAAAQBAJ&pg=PA316|first=Steven|last=Rosenberg|isbn=9781000516333 }}
* {{cite book|title=The Elements of Mathematical Logic|first=Paul C.|last=Rosenbloom|publisher=Courier Dover Publications|year=2005|isbn=9780486446172|url=https://books.google.com/books?id=089eY-s33EsC&pg=PA147}}
* {{cite book | last1 = Rubin | first1 = Herman | author1-link=Herman Rubin | last2 = Rubin | first2 = Jean E. | author2-link=Jean E. Rubin | title = Equivalents of the Axiom of Choice | publisher = North Holland / Elsevier | date = April 1970| edition= 2nd print | orig-year = 1963 | isbn = 9780720422252 }}
* {{cite book | last1 = Rubin | first1 = Herman | author1-link=Herman Rubin | last2 = Rubin | first2 = Jean E. | author2-link=Jean E. Rubin | title = Equivalents of the Axiom of Choice II | publisher = North Holland / Elsevier | date = July 1985 | isbn = 0-444-87708-8 }}
* {{cite book |last1=Russell|first1=Bertrand|author1-link=Bertrand Russell|title=Introduction to mathematical philosophy|publisher=Dover Publications|location=New York|orig-year=1919|date=1993|isbn=978-0-486-27724-0}}
* {{Schechter Handbook of Analysis and Its Foundations}} <!--{{sfn|Schechter|1996|p=}}-->
* {{cite book|last1=Suppes|first1=Patrick|author1-link=Patrick Suppes|title=Axiomatic set theory|publisher=Dover|location=Mineola, New York|year=1972|orig-year=1960|isbn=978-0-486-61630-8|url-access=registration|url=https://archive.org/details/axiomaticsettheo00supp_0}}
* {{cite book | last = Tourlakis | first = George | title = Lectures in Logic and Set Theory. Vol. II: Set Theory | publisher = [[Cambridge University Press]] | year = 2003 | isbn = 0-511-06659-7 }}
* {{cite journal|last=Zermelo| first=Ernst | author-link = Ernst Zermelo| year=1904| url=http://gdz.sub.uni-goettingen.de/no_cache/en/dms/load/img/?IDDOC=28526 |format=reprint|title=Beweis, dass jede Menge wohlgeordnet werden kann| journal=Mathematische Annalen| volume=59| issue=4| pages=514–16|doi=10.1007/BF01445300| s2cid=124189935}}
*{{cite journal
 | last = Zermelo
 | first = Ernst
 | author-link = Ernst Zermelo
 | title = Untersuchungen über die Grundlagen der Mengenlehre I
 | journal = Mathematische Annalen
 | volume = 65
 | year = 1908
 | pages = 261–281
 | url = https://gdz.sub.uni-goettingen.de/id/PPN235181684_0065?tify=%7B%22view%22:%22info%22,%22pages%22:%5B271%5D%7D
 | format = PDF
 | access-date= 2025-05-15
}}
::Translated in: [[Jean van Heijenoort]], 2002. ''From Frege to Gödel: A Source Book in Mathematical Logic, 1879–1931''. New edition. [[Harvard University Press]]. {{ISBN|0-674-32449-8}}
::*1904. "Proof that every set can be well-ordered," 139-41.
::*1908. "Investigations in the foundations of set theory I," 199–215.