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^ a b 『世界大百科事典 第２版』
^ a b c d 青本 et al. 2005, p. 297.
^ a b c d e 青本 et al. 2005, p. 294.
参考文献
学部教科書
青本和彦（編）; 上野健爾（編）; 加藤和也（編）; 神保道夫（編）; 砂田利一（編）; 高橋陽一郎（編）; 深谷賢治（編）; 俣野博（編） ほか『岩波 数学入門辞典』（第1刷）岩波書店、2005年9月29日。.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation.cs-ja1 q,.mw-parser-output .citation.cs-ja2 q{quotes:"「""」""『""』"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free a,.mw-parser-output .citation .cs1-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited a,.mw-parser-output .id-lock-registration a,.mw-parser-output .citation .cs1-lock-limited a,.mw-parser-output .citation .cs1-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription a,.mw-parser-output .citation .cs1-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:#d33}.mw-parser-output .cs1-visible-error{color:#d33}.mw-parser-output .cs1-maint{display:none;color:#3a3;margin-left:0.3em}.mw-parser-output .cs1-format{font-size:95%}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}ISBN 978-4000802093。
Walicki, Micha? (2011), Introduction to Mathematical Logic, Singapore: World Scientific Publishing, ISBN 978-981-4343-87-9 .
Boolos, George; Burgess, John; Jeffrey, Richard (2002), Computability and Logic (4th ed.), Cambridge: Cambridge University Press, ISBN 978-0-521-00758-0 .
Crossley, J.N.; Ash, C.J.; Brickhill, C.J.; Stillwell, J.C.; Williams, N.H. (1972), What is mathematical logic?, London-Oxford-New York: Oxford University Press, ISBN 0-19-888087-1, Zbl 0251.02001 .
Enderton, Herbert (2001), A mathematical introduction to logic (2nd ed.), Boston, MA: Academic Press, ISBN 978-0-12-238452-3 .
Hamilton, A.G. (1988), Logic for Mathematicians (2nd ed.), Cambridge: Cambridge University Press, ISBN 978-0-521-36865-0 .
Ebbinghaus, H.-D.; Flum, J.; Thomas, W. (1994), ⇒Mathematical Logic (2nd ed.), New York: Springer, ISBN 0-387-94258-0, ⇒http://www.springer.com/mathematics/book/978-0-387-94258-2 .
Katz, Robert (1964), Axiomatic Analysis, Boston, MA: D. C. Heath and Company .
Mendelson, Elliott (1997), Introduction to Mathematical Logic (4th ed.), London: Chapman & Hall, ISBN 978-0-412-80830-2 .
Rautenberg, Wolfgang (2010), ⇒A Concise Introduction to Mathematical Logic (3rd ed.), New York: Springer Science+Business Media, doi:10.1007/978-1-4419-1221-3, ISBN 978-1-4419-1220-6, ⇒http://www.springerlink.com/content/978-1-4419-1220-6/ .
Schwichtenberg, Helmut (2003?2004), ⇒Mathematical Logic, Munich, Germany: Mathematisches Institut der Universitat Munchen, ⇒http://www.mathematik.uni-muenchen.de/~schwicht/lectures/logic/ws03/ml.pdf .
Shawn Hedman, A first course in logic: an introduction to model theory, proof theory, computability, and complexity, Oxford University Press, 2004, ISBN 0-19-852981-3. Covers logics in close relation with computability theory and complexity theory
大学院教科書
Andrews, Peter B. (2002), An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof (2nd ed.), Boston: Kluwer Academic Publishers, ISBN 978-1-4020-0763-7 .
Barwise, Jon, ed. (1989), Handbook of Mathematical Logic, Studies in Logic and the Foundations of Mathematics, North Holland, ISBN 978-0-444-86388-1 .
Hodges, Wilfrid (1997), A shorter model theory, Cambridge: Cambridge University Press, ISBN 978-0-521-58713-6 .
Jech, Thomas (2003), Set Theory: Millennium Edition, Springer Monographs in Mathematics, Berlin, New York: Springer-Verlag, ISBN 978-3-540-44085-7 .
Shoenfield, Joseph R. (2001) [1967], Mathematical Logic (2nd ed.), A K Peters, ISBN 978-1-56881-135-2 .
Troelstra, Anne Sjerp; Schwichtenberg, Helmut (2000), Basic Proof Theory, Cambridge Tracts in Theoretical Computer Science (2nd ed.), Cambridge: Cambridge University Press, ISBN 978-0-521-77911-1 .
研究論文、モノグラフ、教科書、サーベイ
Cohen, P. J. (1966), Set Theory and the Continuum Hypothesis, Menlo Park, CA: W. A. Benjamin .
Cohen, Paul Joseph (2008) [1966]. Set theory and the continuum hypothesis. Mineola, New York: Dover Publications. ISBN 978-0-486-46921-8 .
Davis, Martin (1973), “Hilbert's tenth problem is unsolvable”, The American Mathematical Monthly (The American Mathematical Monthly, Vol. 80, No. 3) 80 (3): 233?269, doi:10.2307/2318447, JSTOR 2318447, https://jstor.org/stable/2318447 , reprinted as an appendix in Martin Davis, Computability and Unsolvability, Dover reprint 1982. ⇒JStor
Felscher, Walter (2000), “Bolzano, Cauchy, Epsilon, Delta”, The American Mathematical Monthly (The American Mathematical Monthly, Vol. 107, No. 9) 107 (9): 844–862, doi:10.2307/2695743, JSTOR 2695743, https://jstor.org/stable/2695743 . ⇒JSTOR
Ferreiros, Jose (2001), “The Road to Modern Logic-An Interpretation”, Bulletin of Symbolic Logic (The Bulletin of Symbolic Logic, Vol. 7, No. 4) 7 (4): 441–484, doi:10.2307/2687794, JSTOR 2687794, https://jstor.org/stable/2687794 . ⇒JStor
Hamkins, Joel David; Benedikt Lowe, “The modal logic of forcing”, Transactions of the American Mathematical Society , to appear. ⇒Electronic posting by the journal
Katz, Victor J. (1998), A History of Mathematics, Addison?Wesley, ISBN 0-321-01618-1 .
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