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Volumn 13, Issue 2, 2007, Pages 153-188

Gödel and set theory

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EID: 34249717757     PISSN: 10798986     EISSN: None     Source Type: Journal    
DOI: 10.2178/bsl/1185803804     Document Type: Article
Times cited : (15)

References (91)
  • 1
    • 34249741931 scopus 로고    scopus 로고
    • MOHAMED BEKKALI [1991], Topics in set theory, Lecture Notes in Mathematics, no. 1476, Springer-Verlag, New York.
    • MOHAMED BEKKALI [1991], Topics in set theory, Lecture Notes in Mathematics, no. 1476, Springer-Verlag, New York.
  • 2
    • 34249744041 scopus 로고    scopus 로고
    • PAUL BERNAYS [1937], A system of axiomatic set theory. Part I, The Journal of Symbolic Logic, 2, pp. 65-77, reprinted in: Gert H. Müller (editor), Sets and classes, North- Holland, Amsterdam, pp. 1-13.
    • PAUL BERNAYS [1937], A system of axiomatic set theory. Part I, The Journal of Symbolic Logic, vol. 2, pp. 65-77, reprinted in: Gert H. Müller (editor), Sets and classes, North- Holland, Amsterdam, pp. 1-13.
  • 5
    • 34249711215 scopus 로고    scopus 로고
    • JOHN W. DAWSON, JR. [1997], Logical dilemmas: The life and work of Kurt Gödel, A K Peters, Wellesley.
    • JOHN W. DAWSON, JR. [1997], Logical dilemmas: The life and work of Kurt Gödel, A K Peters, Wellesley.
  • 6
    • 34447586986 scopus 로고    scopus 로고
    • b F′(x) dx = F(b) - F (a), Mathematisches Annalen, 16, pp. 115-128.
    • b F′(x) dx = F(b) - F (a), Mathematisches Annalen, vol. 16, pp. 115-128.
  • 7
    • 34249675365 scopus 로고    scopus 로고
    • PAUL DU BOIS-REYMOND [1882], Die allgemeine Funktionentheorie I, Lampp, Tübingen.
    • PAUL DU BOIS-REYMOND [1882], Die allgemeine Funktionentheorie I, Lampp, Tübingen.
  • 8
    • 34249671047 scopus 로고    scopus 로고
    • SOLOMON FEFERMAN [1984], Kurt Gödel: Conviction and caution, Philosophia Naturalis, 21, pp. 546-562, reprinted in [1998] below, pp. 150-164.
    • SOLOMON FEFERMAN [1984], Kurt Gödel: Conviction and caution, Philosophia Naturalis, vol. 21, pp. 546-562, reprinted in [1998] below, pp. 150-164.
  • 9
    • 4243235762 scopus 로고    scopus 로고
    • Solomon Feferman editor, Publications 1929-1936, Oxford University Press, New York
    • Solomon Feferman (editor) [1986], Kurt Gödel, Collected works, Publications 1929-1936, vol. I, Oxford University Press, New York.
    • (1986) Kurt Gödel, Collected works , vol.1
  • 10
    • 34249704926 scopus 로고    scopus 로고
    • SOLOMON FEFERMAN [1987], Infinity in mathematics: Is Cantor necessary? (Conclusion), (G. Toraldo di Francia, editor), L'infinito nella Scienza, Instituto della Enciclopedia Italiana, Roma, reprinted in [1998] below, particularly pp. 229-248, pp. 151-209.
    • SOLOMON FEFERMAN [1987], Infinity in mathematics: Is Cantor necessary? (Conclusion), (G. Toraldo di Francia, editor), L'infinito nella Scienza, Instituto della Enciclopedia Italiana, Roma, reprinted in [1998] below, particularly pp. 229-248, pp. 151-209.
  • 11
    • 4243235762 scopus 로고    scopus 로고
    • Solomon Feferman editor, Publications 1938-1974, Oxford University Press, New York
    • Solomon Feferman (editor) [1990], Kurt Gödel, Collected works, Publications 1938-1974, vol. II, Oxford University Press, New York.
    • (1990) Kurt Gödel, Collected works , vol.2
  • 13
    • 34249716173 scopus 로고    scopus 로고
    • SOLOMON FEFERMAN [1998], In the light of logic, Oxford University Press, New York.
    • SOLOMON FEFERMAN [1998], In the light of logic, Oxford University Press, New York.
  • 14
    • 4243235762 scopus 로고    scopus 로고
    • Solomon Feferman and John W. Dawson, Jr, editors, Clarendon Press, Oxford
    • Solomon Feferman and John W. Dawson, Jr. (editors) [2003a], Kurt Gödel, Collected works, Correspondence A-G, vol. IV, Clarendon Press, Oxford.
    • (2003) Kurt Gödel, Collected works, Correspondence A-G , vol.4
  • 15
    • 4243235762 scopus 로고    scopus 로고
    • Solomon Feferman and John W. Dawson, Jr, editors, Clarendon Press, Oxford
    • Solomon Feferman and John W. Dawson, Jr. (editors) [2003b], Kurt Gödel, Collected works, Correspondence H-Z, vol. V, Clarendon Press, Oxford.
    • (2003) Kurt Gödel, Collected works, Correspondence H-Z , vol.5
  • 16
    • 0040534574 scopus 로고
    • Jens E. Fenstad editor, Universitetsforlaget. Oslo
    • Jens E. Fenstad (editor) [1970], Thoralf Skolem, Selected works in logic, Universitetsforlaget. Oslo.
    • (1970) Thoralf Skolem, Selected works in logic
  • 18
    • 0006831529 scopus 로고    scopus 로고
    • ABRAHAM FRAENKEL [1922], Zu den Grundlagen der Cantor-Zermeloschen Mengenlehre, Mathematische Annalen, 86, pp. 230-237.
    • ABRAHAM FRAENKEL [1922], Zu den Grundlagen der Cantor-Zermeloschen Mengenlehre, Mathematische Annalen, vol. 86, pp. 230-237.
  • 19
    • 34249692327 scopus 로고    scopus 로고
    • ABRAHAM FRAENKEL [1953], Abstract set theory, North Holland, Amsterdam.
    • ABRAHAM FRAENKEL [1953], Abstract set theory, North Holland, Amsterdam.
  • 20
    • 34249685874 scopus 로고    scopus 로고
    • KURT GÖDEL [1929], Über die Vollständigkeit der Logikkalküls, doctoral dissertation, University of Vienna, reprinted and translated in Feferman [1986], pp. 60-101.
    • KURT GÖDEL [1929], Über die Vollständigkeit der Logikkalküls, doctoral dissertation, University of Vienna, reprinted and translated in Feferman [1986], pp. 60-101.
  • 21
    • 34249703867 scopus 로고    scopus 로고
    • KURT GÖDEL [193?], Untitled lecture, in Feferman [1995], pp. 164-175.
    • KURT GÖDEL [193?], Untitled lecture, in Feferman [1995], pp. 164-175.
  • 22
    • 34347193348 scopus 로고    scopus 로고
    • KURT GÖDEL [1931], Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I, Monatshefte für Mathematik und Physik, 38, pp. 173-198, reprinted and translated with minor emendations by the author in Feferman [1986], pp. 144-195.
    • KURT GÖDEL [1931], Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I, Monatshefte für Mathematik und Physik, vol. 38, pp. 173-198, reprinted and translated with minor emendations by the author in Feferman [1986], pp. 144-195.
  • 23
    • 34249748745 scopus 로고    scopus 로고
    • KURT GÖDEL [1932], Über Vollständigkeit und Widerspruchsfreiheit, Ergebnisse eines mathematischen Kolloquiums, 3, pp. 12-13, text and translation in Feferman [1995], pp. 234-237.
    • KURT GÖDEL [1932], Über Vollständigkeit und Widerspruchsfreiheit, Ergebnisse eines mathematischen Kolloquiums, vol. 3, pp. 12-13, text and translation in Feferman [1995], pp. 234-237.
  • 24
    • 34249692861 scopus 로고    scopus 로고
    • KURT GÖDEL [1933], The present situation in the foundations of mathematics, handwritten text for an invited lecture, in Feferman [1995], pp. 45-53, and the page references are to these.
    • KURT GÖDEL [1933], The present situation in the foundations of mathematics, handwritten text for an invited lecture, in Feferman [1995], pp. 45-53, and the page references are to these.
  • 25
    • 34249697400 scopus 로고    scopus 로고
    • KURT GÖDEL [1938], The consistency of the Axiom of Choice and of the Generalized Continuum-Hypothesis, Proceedings of the National Academy of Sciences U.S.A., 24, pp. 556-557, reprinted in Feferman [1990], pp. 26-27.
    • KURT GÖDEL [1938], The consistency of the Axiom of Choice and of the Generalized Continuum-Hypothesis, Proceedings of the National Academy of Sciences U.S.A., vol. 24, pp. 556-557, reprinted in Feferman [1990], pp. 26-27.
  • 27
    • 34249711214 scopus 로고    scopus 로고
    • KURT GÖDEL [1939b], Consistency-proof for the generalized continuum-hypothesis, Proceedings of the National Academy of Sciences U.S.A., 25, pp. 220-224, reprinted in Feferman [1990], pp. 28-32.
    • KURT GÖDEL [1939b], Consistency-proof for the generalized continuum-hypothesis, Proceedings of the National Academy of Sciences U.S.A., vol. 25, pp. 220-224, reprinted in Feferman [1990], pp. 28-32.
  • 28
    • 34249703329 scopus 로고    scopus 로고
    • KURT GÖDEL [1939c], Vortrag Göttingen, text and translation in Feferman [1995], pp. 126-155, and the page references are to these.
    • KURT GÖDEL [1939c], Vortrag Göttingen, text and translation in Feferman [1995], pp. 126-155, and the page references are to these.
  • 29
    • 34249740582 scopus 로고    scopus 로고
    • KURT GÖDEL [ 1940a], The consistency of the axiom of choice and of the generalized continuum hypothesis with the axioms of set theory, Annals of Mathematics Studies, no. 3, Princeton University Press, Princeton, reprinted in Feferman [1990], pp. 33-101.
    • KURT GÖDEL [ 1940a], The consistency of the axiom of choice and of the generalized continuum hypothesis with the axioms of set theory, Annals of Mathematics Studies, no. 3, Princeton University Press, Princeton, reprinted in Feferman [1990], pp. 33-101.
  • 30
    • 34249674809 scopus 로고    scopus 로고
    • KURT GÖDEL [1940b], Lecture [on the] consistency [of the] continuum hypothesis, (Brown University) in Feferman [1995], pp. 175-185, and the page references are to these.
    • KURT GÖDEL [1940b], Lecture [on the] consistency [of the] continuum hypothesis, (Brown University) in Feferman [1995], pp. 175-185, and the page references are to these.
  • 31
    • 34249724310 scopus 로고    scopus 로고
    • KURT GÖDEL [1944], Russell's mathematical logic, The philosophy of Bertrand Russell (Paul A. Schilpp, editor), The Library of Living Philosophers, 5, Northwestern University, Evanston, reprinted in Feferman [1990], pp. 119-141, pp. 123-153.
    • KURT GÖDEL [1944], Russell's mathematical logic, The philosophy of Bertrand Russell (Paul A. Schilpp, editor), The Library of Living Philosophers, vol. 5, Northwestern University, Evanston, reprinted in Feferman [1990], pp. 119-141, pp. 123-153.
  • 32
    • 34249746126 scopus 로고    scopus 로고
    • KURT GÖDEL [1947], What is Cantor's Continuum Problem?, American Mathematical Monthly, 54, pp. 515-525, errata 55 (1948), p. 151; reprinted in Feferman [1990], pp. 176-187; see also Gödel [1964].
    • KURT GÖDEL [1947], What is Cantor's Continuum Problem?, American Mathematical Monthly, vol. 54, pp. 515-525, errata vol. 55 (1948), p. 151; reprinted in Feferman [1990], pp. 176-187; see also Gödel [1964].
  • 33
    • 34249695270 scopus 로고    scopus 로고
    • KURT GÖDEL [1964], Philosophy of mathematics. Selected readings, (Paul Benacerraf and Hilary Putnam, editors), Prentice Hall, Englewood Cliffs, revised and expanded version of [1947]; this version reprinted with emendations by the author in Feferman [1990], pp. 254- 270, pp. 258-273.
    • KURT GÖDEL [1964], Philosophy of mathematics. Selected readings, (Paul Benacerraf and Hilary Putnam, editors), Prentice Hall, Englewood Cliffs, revised and expanded version of [1947]; this version reprinted with emendations by the author in Feferman [1990], pp. 254- 270, pp. 258-273.
  • 34
    • 34249743500 scopus 로고    scopus 로고
    • KURT GÖDEL [1970a], Some considerations leading to the probable conclusion that the true power of the continuum is N 2, handwritten document, in Feferman [1995], pp. 420-422.
    • KURT GÖDEL [1970a], Some considerations leading to the probable conclusion that the true power of the continuum is N 2, handwritten document, in Feferman [1995], pp. 420-422.
  • 35
    • 34249699431 scopus 로고    scopus 로고
    • KURT GÖDEL [1970b], A proof of Cantor's continuum hypothesis from a highly plausible axiom about orders of growth, handwritten document, in Feferman [1995], pp. 422-423.
    • KURT GÖDEL [1970b], A proof of Cantor's continuum hypothesis from a highly plausible axiom about orders of growth, handwritten document, in Feferman [1995], pp. 422-423.
  • 36
    • 34249750367 scopus 로고    scopus 로고
    • KURT GÖDEL [1972], Some remarks on the undecidability results, in Feferman [1990], pp. 305-306.
    • KURT GÖDEL [1972], Some remarks on the undecidability results, in Feferman [1990], pp. 305-306.
  • 38
    • 34249669047 scopus 로고    scopus 로고
    • FELIX HAUSDORFF [1907], Untersuchungen über Ordnungstypen, IV, V, Berichte über die Verhandlungen der Königlich Sächsischen Gesellschaft der Wissenschaften zu Leipzig, Mathematisch-Physische Klasse, 59, pp. 84-159, translated in Plotkin [2005], pp. 113-171.
    • FELIX HAUSDORFF [1907], Untersuchungen über Ordnungstypen, IV, V, Berichte über die Verhandlungen der Königlich Sächsischen Gesellschaft der Wissenschaften zu Leipzig, Mathematisch-Physische Klasse, vol. 59, pp. 84-159, translated in Plotkin [2005], pp. 113-171.
  • 39
    • 34249655504 scopus 로고    scopus 로고
    • FELIX HAUSDORFF [1909], Die Graduierung nach dem Endverlauf, Abhandlungen der Königlich Sächsischen Gesellschaft der Wissenschaften zu Leipzig, Mathematisch-Physische Klasse, 31, pp. 295-334, translated in Plotkin [2005], pp. 271-301.
    • FELIX HAUSDORFF [1909], Die Graduierung nach dem Endverlauf, Abhandlungen der Königlich Sächsischen Gesellschaft der Wissenschaften zu Leipzig, Mathematisch-Physische Klasse, vol. 31, pp. 295-334, translated in Plotkin [2005], pp. 271-301.
  • 40
    • 34249731859 scopus 로고    scopus 로고
    • 1Mengen, Fundamenta Mathematicae, 26, pp. 241-255, translated in Plotkin [2005], pp. 305-316.
    • 1Mengen, Fundamenta Mathematicae, vol. 26, pp. 241-255, translated in Plotkin [2005], pp. 305-316.
  • 42
    • 34249656649 scopus 로고    scopus 로고
    • ωω. Axiomatic set theory (Thomas J. Jech, editor), Proceedings of symposia in pure mathematics, 13, part 2, American Mathematical Society, Providence.
    • ωω. Axiomatic set theory (Thomas J. Jech, editor), Proceedings of symposia in pure mathematics, vol. 13, part 2, American Mathematical Society, Providence.
  • 43
    • 34250955001 scopus 로고    scopus 로고
    • DAVID HILBERT [1926], Über das Unendliche, Mathematische Annalen, 95, pp. 161-190, translated into French by André Weil in Acta Mathematica, 48 (1926), pp. 91-122; translated in van Heijenoort [1967], pp. 367-392.
    • DAVID HILBERT [1926], Über das Unendliche, Mathematische Annalen, vol. 95, pp. 161-190, translated into French by André Weil in Acta Mathematica, vol. 48 (1926), pp. 91-122; translated in van Heijenoort [1967], pp. 367-392.
  • 44
    • 3142698152 scopus 로고    scopus 로고
    • IGNACIO JANÉ [1995], The role of the absolute infinite in Cantor's conception of set, Erkenntnis, 42, pp. 375-402.
    • IGNACIO JANÉ [1995], The role of the absolute infinite in Cantor's conception of set, Erkenntnis, vol. 42, pp. 375-402.
  • 45
    • 34249748221 scopus 로고    scopus 로고
    • THOMAS JECH [2002], Set theory, third millennium ed., Springer, Berlin, revised and expanded.
    • THOMAS JECH [2002], Set theory, third millennium ed., Springer, Berlin, revised and expanded.
  • 46
    • 0001455866 scopus 로고    scopus 로고
    • RONALD B. JENSEN [1972], The fine structure of the constructible hierarchy, Annals of Mathematical Logic, 4, pp. 229-308.
    • RONALD B. JENSEN [1972], The fine structure of the constructible hierarchy, Annals of Mathematical Logic, vol. 4, pp. 229-308.
  • 47
    • 34249747181 scopus 로고    scopus 로고
    • AKIHIRO KANAMORI [1995], The emergence of descriptive set theory, From Dedekind to Gödel: Essays on the development of the foundations of mathematics (Jaakko Hintikka, editor), Synthese Library, 251, Kluwer, Dordrecht, pp. 241-262.
    • AKIHIRO KANAMORI [1995], The emergence of descriptive set theory, From Dedekind to Gödel: Essays on the development of the foundations of mathematics (Jaakko Hintikka, editor), Synthese Library, vol. 251, Kluwer, Dordrecht, pp. 241-262.
  • 49
    • 34249735718 scopus 로고    scopus 로고
    • AKIHIRO KANAMORI [2003], The higher infinite, second ed., Springer-Verlag, Heidelberg.
    • AKIHIRO KANAMORI [2003], The higher infinite, second ed., Springer-Verlag, Heidelberg.
  • 50
    • 11844296708 scopus 로고    scopus 로고
    • this BULLETIN
    • AKIHIRO KANAMORI [2004], Zermelo and set theory, this BULLETIN, vol. 10, pp. 487-553.
    • (2004) Zermelo and set theory , vol.10 , pp. 487-553
    • AKIHIRO, K.1
  • 51
    • 20444499271 scopus 로고    scopus 로고
    • Gödel's modernism: On set-theoretic incompleteness
    • JULIETTE C. KENNEDY AND MARK VAN ATTEN [2004], Gödel's modernism: On set-theoretic incompleteness, Graduate Faculty Philosophy Journal, vol. 25, pp. 289-349.
    • (2004) Graduate Faculty Philosophy Journal , vol.25 , pp. 289-349
    • KENNEDY, J.C.1    VAN ATTEN, M.2
  • 52
    • 33745619773 scopus 로고    scopus 로고
    • PETER KOELLNER [2006], On the question of absolute undecidability, Philosophia Mathematica, 14, no. 2.
    • PETER KOELLNER [2006], On the question of absolute undecidability, Philosophia Mathematica, vol. 14, no. 2.
  • 53
    • 34249656650 scopus 로고    scopus 로고
    • MOTOKITI KONDÔ [1939], Sur l'uniformisation des complémentaires analytiques et les ensembles projectifs de la seconde classe, Japanese Journal of Mathematics, 15, pp. 197-230.
    • MOTOKITI KONDÔ [1939], Sur l'uniformisation des complémentaires analytiques et les ensembles projectifs de la seconde classe, Japanese Journal of Mathematics, vol. 15, pp. 197-230.
  • 54
    • 2342653006 scopus 로고    scopus 로고
    • STANISLAW KRAJEWSKI [2004], Gödelon Tarski, Annals of Pure and Applied Logic, 127, pp. 303-323.
    • STANISLAW KRAJEWSKI [2004], Gödelon Tarski, Annals of Pure and Applied Logic, vol. 127, pp. 303-323.
  • 55
    • 34249675364 scopus 로고    scopus 로고
    • GEORG KREISEL [1980], Kurt Gödel, 28 April 1906-14 January 1978, Biographical Memoirs of the Fellows of the Royal Society, 26, pp. 149-224, corrections, 27 (1981), p. 697 and 28 (1982), p. 718.
    • GEORG KREISEL [1980], Kurt Gödel, 28 April 1906-14 January 1978, Biographical Memoirs of the Fellows of the Royal Society, vol. 26, pp. 149-224, corrections, vol. 27 (1981), p. 697 and vol. 28 (1982), p. 718.
  • 56
    • 34249652237 scopus 로고    scopus 로고
    • KAZIMIERZ KURATOWSKI [1931], Evaluation de la classe Borélienne ouprojective d'un ensemble de points à l'aide des symboles logiques, Fundamenta Mathematicae, 17, pp. 249-272.
    • KAZIMIERZ KURATOWSKI [1931], Evaluation de la classe Borélienne ouprojective d'un ensemble de points à l'aide des symboles logiques, Fundamenta Mathematicae, vol. 17, pp. 249-272.
  • 57
    • 0039349474 scopus 로고
    • Les opérations logiques et les ensembles projectifs
    • reprinted in Tarski [1986, 1, pp. 551-559; translated in Tarski [1983, pp. 143-151
    • KAZIMIERZ KURATOWSKI AND ALFRED TARSKI [1931], Les opérations logiques et les ensembles projectifs, Fundamenta Mathematicae, vol. 17, pp. 240-248, reprinted in Tarski [1986], vol. 1, pp. 551-559; translated in Tarski [1983], pp. 143-151.
    • (1931) Fundamenta Mathematicae , vol.17 , pp. 240-248
    • KURATOWSKI, K.1    TARSKI, A.2
  • 58
    • 34249744040 scopus 로고    scopus 로고
    • AZRIEL LEVY [1960], Axiom schemata of strong infinity in axiomatic set theory. Pacific Journal of Mathematics, 10, pp. 223-238, reprinted in Mengenlehre, Wissenschaftliche Buchgesellschaft Darmstadt, 1979, pp. 238-253.
    • AZRIEL LEVY [1960], Axiom schemata of strong infinity in axiomatic set theory. Pacific Journal of Mathematics, vol. 10, pp. 223-238, reprinted in Mengenlehre, Wissenschaftliche Buchgesellschaft Darmstadt, 1979, pp. 238-253.
  • 59
    • 51249189487 scopus 로고
    • Measurable cardinals and the continuum hypothesis
    • AZRIEL LEVY AND ROBERT SOLOVAY [1967], Measurable cardinals and the continuum hypothesis, Israel Journal of Mathematics, vol. 5, pp. 234-248.
    • (1967) Israel Journal of Mathematics , vol.5 , pp. 234-248
    • LEVY, A.1    SOLOVAY, R.2
  • 60
    • 34249749789 scopus 로고    scopus 로고
    • STEFAN MAZURKIEWICZ [1927], Sur une propriété des ensembles C(A), Fundamenta Mathematicae, 10, pp. 172-174.
    • STEFAN MAZURKIEWICZ [1927], Sur une propriété des ensembles C(A), Fundamenta Mathematicae, vol. 10, pp. 172-174.
  • 61
    • 34249682503 scopus 로고    scopus 로고
    • RICHARD M. MONTAGUE [1961], Fraenkel's addition to the axioms of Zermelo, Essays on the foundations of mathematics (Yehoshua Bar-Hillel, E. I. J. Poznanski, Michael O. Rabin, and Abraham Robinson, editors), Magnes Press, Jerusalem, dedicated to Professor A. A. Fraenkel on his 70th Birthday, pp. 91-114.
    • RICHARD M. MONTAGUE [1961], Fraenkel's addition to the axioms of Zermelo, Essays on the foundations of mathematics (Yehoshua Bar-Hillel, E. I. J. Poznanski, Michael O. Rabin, and Abraham Robinson, editors), Magnes Press, Jerusalem, dedicated to Professor A. A. Fraenkel on his 70th Birthday, pp. 91-114.
  • 62
    • 34249674810 scopus 로고    scopus 로고
    • YIANNIS N. MOSCHOVAKIS [1980], Descriptive set theory, North-Holland, Amsterdam.
    • YIANNIS N. MOSCHOVAKIS [1980], Descriptive set theory, North-Holland, Amsterdam.
  • 63
    • 2342468884 scopus 로고    scopus 로고
    • ROMAN MURAWSKI [1998], Undefinability of truth. The problem of priority: Tarski vs Gödel, History and Philosophy of Logic, 19, pp. 153-160.
    • ROMAN MURAWSKI [1998], Undefinability of truth. The problem of priority: Tarski vs Gödel, History and Philosophy of Logic, vol. 19, pp. 153-160.
  • 64
    • 34249659350 scopus 로고    scopus 로고
    • JOHN R. MYHILL AND DANA S. SCOTT [1971], Ordinal definability, Proceedings of symposia in pure mathematics (Dana S. Scott, editor), Axiomatic Set Theory, 13, part 1, American Mathematical Society, Providence, pp. 271-278.
    • JOHN R. MYHILL AND DANA S. SCOTT [1971], Ordinal definability, Proceedings of symposia in pure mathematics (Dana S. Scott, editor), Axiomatic Set Theory, vol. 13, part 1, American Mathematical Society, Providence, pp. 271-278.
  • 65
    • 34249701638 scopus 로고    scopus 로고
    • Jacob M. Plotkin editor, American Mathematical Society, Providence
    • Jacob M. Plotkin (editor) [2005], Hausdorff on ordered sets, American Mathematical Society, Providence.
    • (2005) Hausdorff on ordered sets
  • 66
    • 84960578136 scopus 로고    scopus 로고
    • FRANK P. RAMSEY [1925], The foundations of mathematics. Proceedings of the London Mathematical Society, 25, pp. 338-384.
    • FRANK P. RAMSEY [1925], The foundations of mathematics. Proceedings of the London Mathematical Society, vol. 25, pp. 338-384.
  • 68
    • 34249682504 scopus 로고    scopus 로고
    • DANA S. SCOTT [1961], Measurable cardinals and constructible sets, Bulletin de l'Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques, 9, pp. 521-524.
    • DANA S. SCOTT [1961], Measurable cardinals and constructible sets, Bulletin de l'Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques, vol. 9, pp. 521-524.
  • 69
    • 34249724311 scopus 로고    scopus 로고
    • THORALF SKOLEM [1920], Logisch-kombinatorische Untersuchungen über die Erfüllbarkeit oder Beweisbarkeit mathematischer Sätze nebst einem Theoreme über dichte Mengen, Videnskaps-selskapets Skrifter, I, no. 4, pp. 1-36, reprinted in [1970] below, pp. 103-136. Partially translated in van Heijenoort [1967], pp. 252-263.
    • THORALF SKOLEM [1920], Logisch-kombinatorische Untersuchungen über die Erfüllbarkeit oder Beweisbarkeit mathematischer Sätze nebst einem Theoreme über dichte Mengen, Videnskaps-selskapets Skrifter, I, no. 4, pp. 1-36, reprinted in [1970] below, pp. 103-136. Partially translated in van Heijenoort [1967], pp. 252-263.
  • 70
    • 34249734076 scopus 로고    scopus 로고
    • THORALF SKOLEM [1923], Einige Bemerkungen zur axiomatischen Begründung der Mengenlehre, Matematikerkongressen i Hehingfon den 4-7 Juli 1922, Den femte skandinaviska matematikerkongressen, Redogörelse, Akademiska-Bokhandeln, Helsinki, reprinted in [1970] below, pp. 137-152; translated in van Heijenoort [1967], pp. 290-301, pp. 217-232.
    • THORALF SKOLEM [1923], Einige Bemerkungen zur axiomatischen Begründung der Mengenlehre, Matematikerkongressen i Hehingfon den 4-7 Juli 1922, Den femte skandinaviska matematikerkongressen, Redogörelse, Akademiska-Bokhandeln, Helsinki, reprinted in [1970] below, pp. 137-152; translated in van Heijenoort [1967], pp. 290-301, pp. 217-232.
  • 71
    • 34249690541 scopus 로고    scopus 로고
    • THORALF SKOLEM [1962], Abstract set theory, Notre Dame Mathematical Lecture Notes, no. 8, Notre Dame.
    • THORALF SKOLEM [1962], Abstract set theory, Notre Dame Mathematical Lecture Notes, no. 8, Notre Dame.
  • 73
    • 34249736766 scopus 로고    scopus 로고
    • ALFRED TARSKI [1931], Sur les ensembles définissables de nombres réels, Fundamenta Mathematicae, 17, pp. 210-239, reprinted in Tarski [1986] below, 1, pp. 517-548; translated in Tarski [1983] below, pp. 110-142.
    • ALFRED TARSKI [1931], Sur les ensembles définissables de nombres réels, Fundamenta Mathematicae, vol. 17, pp. 210-239, reprinted in Tarski [1986] below, vol. 1, pp. 517-548; translated in Tarski [1983] below, pp. 110-142.
  • 74
    • 34249657745 scopus 로고    scopus 로고
    • ALFRED TARSKI [1933], Pojȩcie prawdy w jȩzykach nauk dedukcyjnych (The concept of truth in the languages of deductive sciences), Prace Towarzystwa Naukowego Warszawskiego, Wydzial III, Nauk Matematyczno-fizycznych (Travaux de la Société des Sciences et des Lettres de Varsovie, Classe III, Sciences Mathématiques et Physiques), no. 34.
    • ALFRED TARSKI [1933], Pojȩcie prawdy w jȩzykach nauk dedukcyjnych (The concept of truth in the languages of deductive sciences), Prace Towarzystwa Naukowego Warszawskiego, Wydzial III, Nauk Matematyczno-fizycznych (Travaux de la Société des Sciences et des Lettres de Varsovie, Classe III, Sciences Mathématiques et Physiques), no. 34.
  • 75
    • 34249675363 scopus 로고    scopus 로고
    • ALFRED TARSKI [1935], Der Wahrheitsbegriff in den formasierten Sprachen, German translation of [1933] with a postscript, Studia Philosophien 1, pp. 261-405; reprinted in [1986] below, 2, 51-198; translated in [1983] below, pp. 152-278.
    • ALFRED TARSKI [1935], Der Wahrheitsbegriff in den formasierten Sprachen, German translation of [1933] with a postscript, Studia Philosophien vol. 1, pp. 261-405; reprinted in [1986] below, vol. 2, 51-198; translated in [1983] below, pp. 152-278.
  • 76
    • 34249746127 scopus 로고    scopus 로고
    • ALFRED TARSKI [1983], Logic, semantics, metamathematics. Papers from 1923 to 1938, second ed., Hackett, Indianapolis, translations by J. H. Woodger.
    • ALFRED TARSKI [1983], Logic, semantics, metamathematics. Papers from 1923 to 1938, second ed., Hackett, Indianapolis, translations by J. H. Woodger.
  • 77
    • 34249691776 scopus 로고    scopus 로고
    • ALFRED TARSKI [1986], Collected papers, (Steven R. Givant and Ralph N. McKenzie, editors), Birkhäuser, Basel.
    • ALFRED TARSKI [1986], Collected papers, (Steven R. Givant and Ralph N. McKenzie, editors), Birkhäuser, Basel.
  • 78
    • 0039108997 scopus 로고
    • Arithmetical extensions of relational systems
    • reprinted in Tarski [1986, 3, pp. 653-674
    • ALFRED TARSKI AND ROBERT L. VAUGHT [1957], Arithmetical extensions of relational systems, Compositio Mathematica, vol. 13, pp. 81-102, reprinted in Tarski [1986], vol. 3, pp. 653-674.
    • (1957) Compositio Mathematica , vol.13 , pp. 81-102
    • TARSKI, A.1    VAUGHT, R.L.2
  • 79
    • 34249696845 scopus 로고
    • John von Neumann
    • Abraham H. Taub editor, Pergamon Press, New York
    • Abraham H. Taub (editor) [1961], John von Neumann. Collected works, vol. 1, Pergamon Press, New York.
    • (1961) Collected works , vol.1
  • 80
    • 19144369650 scopus 로고
    • From Frege to Godel
    • Jean van Heijenoort editor, Harvard University Press, Cambridge
    • Jean van Heijenoort (editor) [1967], From Frege to Godel. A source book in mathematical logic, 1879-1931, Harvard University Press, Cambridge.
    • (1967) A source book in mathematical logic, 1879-1931
  • 81
    • 34249675637 scopus 로고    scopus 로고
    • JOHN VON NEUMANN [1923], Zur Einführung der transfiniten Zahlen, Acta Litterarum ac Scientiarum Segiae Universitatis Hungaricae Francisco-Josephinae (Szeged), sectio scientiarum mathematicarum, 1, pp. 199-208, reprinted in [1961] below, 1, pp, 24-33; translated in van Heijenoort [1967], pp. 346-354.
    • JOHN VON NEUMANN [1923], Zur Einführung der transfiniten Zahlen, Acta Litterarum ac Scientiarum Segiae Universitatis Hungaricae Francisco-Josephinae (Szeged), sectio scientiarum mathematicarum, vol. 1, pp. 199-208, reprinted in [1961] below, vol. 1, pp, 24-33; translated in van Heijenoort [1967], pp. 346-354.
  • 82
    • 34249725980 scopus 로고    scopus 로고
    • JOHN VON NEUMANN [1925], Eine Axiomatisierung der Mengenlehre, Journal für die reine und angewandte Mathematik, 154, pp. 219-240, Berichtigung ibid. 155, p. 128; reprinted in [1961] below, pp. 34-56; translated in van Heijenoort [1967], pp. 393-413.
    • JOHN VON NEUMANN [1925], Eine Axiomatisierung der Mengenlehre, Journal für die reine und angewandte Mathematik, vol. 154, pp. 219-240, Berichtigung ibid. vol. 155, p. 128; reprinted in [1961] below, pp. 34-56; translated in van Heijenoort [1967], pp. 393-413.
  • 83
    • 0010823357 scopus 로고    scopus 로고
    • JOHN VON NEUMANN [1928], Über die Definition durch transfinite Induktion und verwandte Fragen der allgemeinen Mengenlehre, Mathematische Annalen, 99, pp. 373-391, reprinted in [1961] below, 1, pp. 320-338.
    • JOHN VON NEUMANN [1928], Über die Definition durch transfinite Induktion und verwandte Fragen der allgemeinen Mengenlehre, Mathematische Annalen, vol. 99, pp. 373-391, reprinted in [1961] below, vol. 1, pp. 320-338.
  • 84
    • 0141855028 scopus 로고    scopus 로고
    • JOHN VON NEUMANN [1929], Über eine Widerspruchfreiheitsfrage in der axiomatischen Mengenlehre, Journal für die reine und angewandte Mathematik, 160, pp. 227-241, reprinted in [1961] below, pp. 494-508.
    • JOHN VON NEUMANN [1929], Über eine Widerspruchfreiheitsfrage in der axiomatischen Mengenlehre, Journal für die reine und angewandte Mathematik, vol. 160, pp. 227-241, reprinted in [1961] below, pp. 494-508.
  • 86
    • 34249727633 scopus 로고    scopus 로고
    • HAO WANG [1996], A logical journey. From Gödel to Philosophy, The MIT Press, Cambridge.
    • HAO WANG [1996], A logical journey. From Gödel to Philosophy, The MIT Press, Cambridge.
  • 88
  • 89
    • 0000849473 scopus 로고    scopus 로고
    • ERNST ZERMELO [1908], Untersuchungen über die Grundlagen der Mengenlehre I, Mathematische Annalen, 65, pp. 261-281, translated in van Heijenoort [1967], pp. 199-215.
    • ERNST ZERMELO [1908], Untersuchungen über die Grundlagen der Mengenlehre I, Mathematische Annalen, vol. 65, pp. 261-281, translated in van Heijenoort [1967], pp. 199-215.
  • 90
    • 34249688036 scopus 로고    scopus 로고
    • ERNST ZERMELO [1930], Über Grenzzahlen und Mengenbereiche: Neue Untersuchungen über die Grundlagen der Mengenlehre, Fundamenta Mathematicae, 16, pp. 29-47.
    • ERNST ZERMELO [1930], Über Grenzzahlen und Mengenbereiche: Neue Untersuchungen über die Grundlagen der Mengenlehre, Fundamenta Mathematicae, vol. 16, pp. 29-47.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.