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bc_biblio.bib
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@book{GodelWang,
title = {"A Logical Journey: From Gödel to Philosophy"},
author = {Hao Wang},
publisher = {A Bradford Book},
isbn = {0262231891,9780262231893},
year = {1997},
series = {},
edition = {},
volume = {},
url = {http://gen.lib.rus.ec/book/index.php?md5=659F7404ED7DD1D9D6FEC787E7BF2437}
}
@book{KanamoriBook,
title = {The higher infinite: Large cardinals in set theory from their beginnings},
author = {Akihiro Kanamori},
publisher = {Springer-Verlag Berlin Heidelberg},
isbn = {9783540888666,3540888667},
year = {2003},
series = {Springer Monographs in Mathematics},
edition = {2},
volume = {},
url = {http://gen.lib.rus.ec/book/index.php?md5=81C7F6D082BE7C25A595B1816EBCDE32}
}
@book{LevyBook,
title = {Basic Set Theory},
author = {Azriel Lévy},
publisher = {Springer},
isbn = {978-3-662-02310-5,978-3-662-02308-2},
year = {1979},
series = {Perspectives in Mathematical Logic},
edition = {},
volume = {},
url = {http://gen.lib.rus.ec/book/index.php?md5=3A2EE7DDA9F4C771FF8AC26B520BDFAA}
}
@book{LevyBookRevised,
title = {Basic Set Theory},
author = {Azriel Lévy},
publisher = {Dover Publications},
isbn = {0486420795,9780486420790},
year = {2002},
series = {},
edition = {Revised},
volume = {},
url = {http://gen.lib.rus.ec/book/index.php?md5=EFFE5E7BEE74B5A68F6768906147FC12}
}
@article{KanamoriLevy,
doi = {10.1016/j.apal.2005.09.009},
title = {Levy and set theory},
author = {Akihiro Kanamori},
publisher = {Elsevier Science},
journal = {Annals of Pure and Applied Logic},
issnp = {0168-0072},
year = {2006},
volume = {140},
issue = {1-3},
page = {233--252},
url = {http://gen.lib.rus.ec/scimag/index.php?s=10.1016/j.apal.2005.09.009},
}
@book{JechBook,
title = {Set theory},
author = {Thomas Jech},
publisher = {Springer},
isbn = {9783540440857,3540440852},
year = {2006},
series = {Springer monographs in mathematics},
edition = {The 3rd millennium ed., rev. and expanded},
volume = {},
url = {http://gen.lib.rus.ec/book/index.php?md5=9104D974A236BB9FFD544B44569CE549}
}
@book{BalcarStepanek,
title = {Teorie Množin},
author = {Balcar Bohuslav, Štěpánek Petr},
publisher = {Academia},
isbn = {802000470X},
year = {2000},
series = {},
edition = {2},
volume = {},
url = {http://gen.lib.rus.ec/book/index.php?md5=13967e804706154c472e822b0bf02400}
}
@article{Levy60a,
title = {Axiom Schemata of Strong Infinity in Axiomatic Set Theory},
author = {Azriel Lévy},
publisher = {Massachusetts Institute of Technology and Hebrew University, Jerusalem},
year = {1960},
journal = {Pacific Journal of Mathematics},
volume = {10},
issue = {1},
page = {223--238}
}
@article{Shapiro87,
title = {Principles of Reflection and Second-Order Logic},
author = {Stewart Shapiro},
year = {1987},
journal = { Journal of Philosophical Logic},
volume = {16},
issue = {3},
page = {309--333}
}
@book{Kunen_independence,
title = {Set Theory An Introduction To Independence Proofs},
author = {Kenneth Kunen},
publisher = {North Holland},
isbn = {0444868399,9780444868398},
year = {1983},
series = {Studies in Logic and the Foundations of Mathematics},
edition = {},
volume = {},
url = {http://gen.lib.rus.ec/book/index.php?md5=c5cdc7fada8bdf431f44273754b8b4a6}
}
@book{Infinity_in_mind,
title = {Infinity and the mind : the science and philosophy of the infinite},
author = {Rudy von Bitter Rucker},
publisher = {Princeton University Press},
isbn = {0-691-12127-3,978-0-691-12127-7,9781400849048,1400849047},
year = {2005},
series = {Princeton science library},
edition = {2005 ed},
volume = {},
url = {http://gen.lib.rus.ec/book/index.php?md5=c80ea8a0a1ca1b6c3deee055fa61624b}
}
@Misc{Mahlo11,
Author = {P. {Mahlo}},
Title = {{Über lineare transfinite Mengen.}},
Year = {1911},
Language = {German},
HowPublished = {{Leipz. Ber. 63, 187-225 (1911).}},
Zbl = {42.0090.02}
}
@Misc{Mahlo12,
Author = {P. {Mahlo}},
Title = {{Über lineare transfinite Mengen.}},
Year = {1911},
Language = {German},
HowPublished = {{Leipz. Ber. 63, 187-225 (1911).}},
Zbl = {42.0090.02}
}
@Misc{Mahlo13,
Author = {P. {Mahlo}},
Title = {{Zur Theorie und Anwendung der $\varrho_v$-Zahlen. II.}},
Year = {1913},
Language = {German},
HowPublished = {{Leipz. Ber. 65, 268-282 (1913).}},
Zbl = {44.0092.02}
}
@Misc{Tait_constructingcardinals,
author = {W. W. Tait},
title = {Constructing Cardinals from below},
year = {2005},
HowPublished = {The Provenance of Pure Reason: Essays in the Philosophy of Mathematics and Its History, 133-154}
}
@Misc{Scott_Measurable,
author = {Dana {Scott}},
title = {Measurable cardinals and constructible sets},
year = {1961},
HowPublished = {BAPS 9, 521–524. XVII, 44, 49},
}
@book{DrakeBook,
title = {Set theory. An introduction to large cardinals},
author = {{Drake}, F.},
publisher = {NH},
isbn = {0444105352,9780444105356},
year = {1974},
series = {Studies in Logic and the Foundations of Mathematics, Volume 76},
edition = {},
volume = {},
url = {http://gen.lib.rus.ec/book/index.php?md5=168D16562A23ACB95BE6752DDC6FFB29}
}
@InCollection{sep-independence-large-cardinals,
author = {Koellner, Peter},
title = {Independence and Large Cardinals},
booktitle = {The Stanford Encyclopedia of Philosophy},
editor = {Edward N. Zalta},
howpublished = {\url{http://plato.stanford.edu/archives/sum2011/entries/independence-large-cardinals/}},
year = {2011},
edition = {Summer 2011},
}
@article{Koellner2009ORP,
volume = {157},
title = {On Reflection Principles},
year = {2009},
journal = {Annals of Pure and Applied Logic},
pages = {206--219},
author = {Peter Koellner},
number = {2},
publisher = {Elsevier}
}
@incollection{erdos_tarski_61,
author = {Paul Erd\"os and Alfred Tarski},
publisher = {Jerusalem, Magnes Press, Hebrew University;},
year = {1961},
booktitle = {Essays on the Foundations of Mathematics},
pages = {50--82},
title = {On Some Problems Involving Inaccessible Cardinals},
editor = {Bar{-}Hillel and Yehoshua and [From Old Catalog]}
}
@article{scott_measurable_constructible,
title = {Measurable cardinals and constructible sets},
author = {Scott, Dana},
year = {1961},
journal = { Bulletin de l' Académie Polonaise des Sciences, Série des sciences mathématiques, astronomiques et physiques},
volume = {9},
issue = {1},
page = {521--524}
}
@book{PinterBook,
title = {A Book of Set Theory},
author = {Charles C Pinter},
publisher = {Dover Publications},
isbn = {0486497089,9780486497082},
year = {2014},
series = {Dover Books on Mathematics},
edition = {},
volume = {},
url = {http://gen.lib.rus.ec/book/index.php?md5=2749183F68DACF812D5B72A246F75697}
}
@book{DevlinConstructibility,
title = {Constructibility},
author = {K. J. Devlin},
publisher = {Springer},
isbn = {3540132589,9783540132585},
year = {1984},
series = {Perspectives in Mathematical Logic},
edition = {1},
volume = {},
url = {http://gen.lib.rus.ec/book/index.php?md5=2714AA95FC4A9968974E742CE6AC6D6C}
}
@MISC{Welch12globalreflection,
author = {P. D. Welch},
title = {Global Reflection Principles},
year = {2012}
}
@book{church1996introduction,
title={Introduction to Mathematical Logic},
author={Church, A.},
isbn={9780691029061},
series={Annals of Mathematics Studies},
url={https://books.google.nl/books?id=JDLQOMKbdScC},
year={1996},
publisher={Princeton University Press}
}
@Article{levyHierarchy,
Author = {Azriel {Levy}},
Title = {{A hierarchy of formulas in set theory.}},
FJournal = {{Memoirs of the American Mathematical Society}},
Journal = {{Mem. Am. Math. Soc.}},
ISSN = {0065-9266},
Volume = {57},
Pages = {76},
Year = {1965},
Publisher = {American Mathematical Society (AMS), Providence, RI},
Language = {English},
Zbl = {0202.30502}
}
@book{hamiltonBook,
title={Logic for Mathematicians},
author={Hamilton, A.G.},
isbn={9780521368650},
lccn={77084802},
url={https://books.google.cz/books?id=TO098EjWT38C},
year={1988},
publisher={Cambridge University Press}
}
@book{Godel1940consistency,
title={The Consistency of the Axiom of Choice and of the Generalized Continuum-hypothesis with the Axioms of Set Theory},
author={G{\"o}del, K. and Brown, G.W.},
isbn={9780691079271},
lccn={41002985},
series={@Annals of Math. Stud},
url={https://books.google.cz/books?id=rXjGFI6IvvkC},
year={1940},
publisher={Princeton University Press}
}
@book{Godel2003collected,
title={Kurt G{\"o}del: Collected Works: Volume II: Publications 1938-1974},
author={G?del, K. and Feferman, S.},
isbn={9780195039726},
lccn={lc85015501},
series={Collected Works},
url={https://books.google.cz/books?id=lgDGTYNcOY4C},
year={2003},
publisher={OUP USA}
}
@article{Feferman2008,
author = {Solomon Feferman},
volume = {63},
pages = {168--181},
journal = {Theoria},
publisher = {Philosophy Department, Stockholm University},
year = {2008},
number = {3},
title = {My Route to Arithmetization}
}
@misc{MonkGradsets09,
title = {Lecture Notes, Advanced Set Theory, University of Colorado Boulder},
howpublished = {\url{http://euclid.colorado.edu/~monkd/m6730/gradsets09.pdf}},
note = {Accessed: 2016-07-30},
author = {Don Monk},
year = {2011},
}
@misc{HellmanInfinite,
title = {Infinite Possibilities and Possibilities of Infinity},
howpublished = {\url{ http://www.tc.umn.edu/~hellm001/Publications/InfinitePossibilitiesPossibilitiesofInfinity.pdf}},
note = {Accessed: 2016-07-11},
author = {Geoffrey Hellman},
year = {2010},
}
@misc{HellmanReflections,
title = {Reflections on Replacement and Reflection: The Axioms in a Structuralist Setting},
howpublished = {\url{http://www.tc.umn.edu/~hellm001/WorkinProgress/ReflectionsonReplacement.pdf}},
note = {Accessed: 2016-07-11},
author = {Geoffrey Hellman},
year = {2009},
}