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Volumn 140, Issue 1-3, 2006, Pages 233-252

Levy and set theory

Author keywords

Ackermann's set theory; Forcing; Fraenkel Mostowski method; Indescribable cardinals.; Levy absoluteness; Levy collapse; Levy hierarchy; Measurable cardinals; Reflection principles; Relative constructibility; Urelements

Indexed keywords


EID: 33748323442     PISSN: 01680072     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apal.2005.09.009     Document Type: Article
Times cited : (13)

References (121)
  • 1
    • 0040534620 scopus 로고
    • Indépendance conditionnelle de V = L et d'axiomes qui se rattachent au système de M. Gödel
    • Indépendance conditionnelle de V = L et d'axiomes qui se rattachent au système de M. Gödel. Comptes Rendus Hebdomadaires des Séances de l'Académie des Sciences, Paris 245 (1957) 1582-1583
    • (1957) Comptes Rendus Hebdomadaires des Séances de l'Académie des Sciences, Paris , vol.245 , pp. 1582-1583
  • 3
    • 0010094045 scopus 로고
    • The independence of various definitions of finiteness
    • The independence of various definitions of finiteness. Fundamenta Mathematicae 46 (1958) 1-13
    • (1958) Fundamenta Mathematicae , vol.46 , pp. 1-13
  • 5
    • 25744432685 scopus 로고
    • On Ackermann's set theory
    • On Ackermann's set theory. The Journal of Symbolic Logic 24 (1959) 154-166
    • (1959) The Journal of Symbolic Logic , vol.24 , pp. 154-166
  • 6
    • 33748290682 scopus 로고
    • A hierarchy of formulae of set theory (abstract)
    • A hierarchy of formulae of set theory (abstract). Notices of the American Mathematical Society 6 (1959) 826
    • (1959) Notices of the American Mathematical Society , vol.6 , pp. 826
  • 8
    • 33748320026 scopus 로고
    • A generalization of Gödel's notion of constructibility
    • A generalization of Gödel's notion of constructibility. The Journal of Symbolic Logic 25 (1960) 147-155
    • (1960) The Journal of Symbolic Logic , vol.25 , pp. 147-155
  • 9
    • 84972494041 scopus 로고
    • Axiom schemata of strong infinity in axiomatic set theory
    • Reprinted in: Mengenlehre, Wissensschaftliche Buchgesellschaft Darmstadt, 1979, pp. 238-253
    • Axiom schemata of strong infinity in axiomatic set theory. Pacific Journal of Mathematics 10 (1960) 223-238 Reprinted in: Mengenlehre, Wissensschaftliche Buchgesellschaft Darmstadt, 1979, pp. 238-253
    • (1960) Pacific Journal of Mathematics , vol.10 , pp. 223-238
  • 10
    • 0039349472 scopus 로고
    • Principles of reflection in axiomatic set theory
    • Principles of reflection in axiomatic set theory. Fundamenta Mathematicae 49 (1960) 1-10
    • (1960) Fundamenta Mathematicae , vol.49 , pp. 1-10
  • 11
    • 84972505109 scopus 로고
    • On a spectrum of set theories
    • On a spectrum of set theories. Illinois Journal of Mathematics 4 (1960) 413-424
    • (1960) Illinois Journal of Mathematics , vol.4 , pp. 413-424
  • 12
    • 84972513586 scopus 로고
    • Principles of partial reflection in the set theories of Zermelo and Ackermann
    • (with Robert L. Vaught)
    • (with Robert L. Vaught). Principles of partial reflection in the set theories of Zermelo and Ackermann. Pacific Journal of Mathematics 11 (1961) 1045-1062
    • (1961) Pacific Journal of Mathematics , vol.11 , pp. 1045-1062
  • 14
    • 33748333817 scopus 로고
    • Comparing the axioms of local and universal choice
    • Bar-Hillel Y., Poznanski E.I.J., Rabin M.O., and Robinson A. (Eds), Magnes Press, Jerusalem (dedicated to Professor A.A. Fraenkel on his 70th Birthday)
    • Comparing the axioms of local and universal choice. In: Bar-Hillel Y., Poznanski E.I.J., Rabin M.O., and Robinson A. (Eds). Essays on the Foundations of Mathematics (1961), Magnes Press, Jerusalem 83-90 (dedicated to Professor A.A. Fraenkel on his 70th Birthday)
    • (1961) Essays on the Foundations of Mathematics , pp. 83-90
  • 15
    • 33748313752 scopus 로고
    • On the principles of reflection in axiomatic set theory
    • Nagel E., Suppes P., and Tarski A. (Eds), Stanford University Press, Stanford
    • On the principles of reflection in axiomatic set theory. In: Nagel E., Suppes P., and Tarski A. (Eds). Logic, Methodology and Philosophy of Science (Proceedings of the 1960 International Congress) (1962), Stanford University Press, Stanford 87-93
    • (1962) Logic, Methodology and Philosophy of Science (Proceedings of the 1960 International Congress) , pp. 87-93
  • 16
    • 0000343372 scopus 로고
    • Axioms of multiple choice
    • Axioms of multiple choice. Fundamenta Mathematicae 50 (1962) 475-483
    • (1962) Fundamenta Mathematicae , vol.50 , pp. 475-483
  • 18
    • 0001618009 scopus 로고
    • Independence results in set theory by Cohen's method I (abstract)
    • Independence results in set theory by Cohen's method I (abstract). Notices of the American Mathematical Society 10 (1963) 592-593
    • (1963) Notices of the American Mathematical Society , vol.10 , pp. 592-593
  • 19
    • 0001618009 scopus 로고
    • Independence results in set theory by Cohen's method II (abstract)
    • (with Solomon Feferman)
    • (with Solomon Feferman). Independence results in set theory by Cohen's method II (abstract). Notices of the American Mathematical Society 10 (1963) 593
    • (1963) Notices of the American Mathematical Society , vol.10 , pp. 593
  • 20
    • 0001618009 scopus 로고
    • Independence results in set theory by Cohen's method III (abstract)
    • Independence results in set theory by Cohen's method III (abstract). Notices of the American Mathematical Society 10 (1963) 593
    • (1963) Notices of the American Mathematical Society , vol.10 , pp. 593
  • 21
    • 0001618009 scopus 로고
    • Independence results in set theory by Cohen's method IV (abstract)
    • Independence results in set theory by Cohen's method IV (abstract). Notices of the American Mathematical Society 10 (1963) 593
    • (1963) Notices of the American Mathematical Society , vol.10 , pp. 593
  • 22
    • 33748322382 scopus 로고
    • The interdependence of certain consequences of the axiom of choice
    • The interdependence of certain consequences of the axiom of choice. Fundamenta Mathematicae 54 (1964) 135-157
    • (1964) Fundamenta Mathematicae , vol.54 , pp. 135-157
  • 23
    • 33748304852 scopus 로고
    • The ordering theorem does not imply the axiom of choice (abstract)
    • (with James D. Halpern)
    • (with James D. Halpern). The ordering theorem does not imply the axiom of choice (abstract). Notices of the American Mathematical Society 11 (1964) 56
    • (1964) Notices of the American Mathematical Society , vol.11 , pp. 56
  • 24
    • 0041155686 scopus 로고
    • Measurable cardinals and the continuum hypothesis
    • Measurable cardinals and the continuum hypothesis. Notices of the American Mathematical Society 11 (1964) 769-770
    • (1964) Notices of the American Mathematical Society , vol.11 , pp. 769-770
  • 25
    • 33748315745 scopus 로고
    • A hierarchy of formulas in set theory (abstract)
    • A hierarchy of formulas in set theory (abstract). The Journal of Symbolic Logic 29 (1964) 226-227
    • (1964) The Journal of Symbolic Logic , vol.29 , pp. 226-227
  • 26
    • 0038941281 scopus 로고
    • The Fraenkel-Mostowski method for independence proofs in set theory
    • Addison Jr. J.W., Henkin L., and Tarski A. (Eds), North-Holland, Amsterdam
    • The Fraenkel-Mostowski method for independence proofs in set theory. In: Addison Jr. J.W., Henkin L., and Tarski A. (Eds). The Theory of Models (Proceedings of the 1963 International Symposium at Berkeley) (1965), North-Holland, Amsterdam 221-228
    • (1965) The Theory of Models (Proceedings of the 1963 International Symposium at Berkeley) , pp. 221-228
  • 29
    • 51249189487 scopus 로고
    • Measurable cardinals and the continuum hypothesis
    • (with Robert M. Solovay)
    • (with Robert M. Solovay). Measurable cardinals and the continuum hypothesis. Israel Journal of Mathematics 5 (1967) 234-248
    • (1967) Israel Journal of Mathematics , vol.5 , pp. 234-248
  • 30
    • 0002239257 scopus 로고
    • Reflection principles and their use for establishing the complexity of axiomatic systems
    • (with Georg Kreisel)
    • (with Georg Kreisel). Reflection principles and their use for establishing the complexity of axiomatic systems. Zeitschrift für Mathematische Logik und Grundlagen der Mathematik 14 (1968) 97-142
    • (1968) Zeitschrift für Mathematische Logik und Grundlagen der Mathematik , vol.14 , pp. 97-142
  • 31
    • 4043096811 scopus 로고
    • On Von Neumann's axiom system for set theory
    • On Von Neumann's axiom system for set theory. American Mathematical Monthly 75 (1968) 762-763
    • (1968) American Mathematical Monthly , vol.75 , pp. 762-763
  • 33
    • 33748326382 scopus 로고
    • The effectivity of existential statements in axiomatic set theory
    • The effectivity of existential statements in axiomatic set theory. Information Sciences 1 (1969) 119-130
    • (1969) Information Sciences , vol.1 , pp. 119-130
  • 34
    • 77956970304 scopus 로고
    • Definability in axiomatic set theory II
    • Bar-Hillel Y. (Ed). 11-14 November 1968, Jerusalem, North-Holland, Amsterdam
    • Definability in axiomatic set theory II. In: Bar-Hillel Y. (Ed). Mathematical Logic and Foundations of Set Theory (Proceedings of an International Colloquium). 11-14 November 1968, Jerusalem (1970), North-Holland, Amsterdam 129-145
    • (1970) Mathematical Logic and Foundations of Set Theory (Proceedings of an International Colloquium) , pp. 129-145
  • 35
    • 0002187831 scopus 로고
    • The Boolean prime ideal theorem does not imply the axiom of choice
    • (with James D. Halpern). Axiomatic Set Theory. Scott D.S. (Ed), American Mathematical Society, Providence
    • (with James D. Halpern). The Boolean prime ideal theorem does not imply the axiom of choice. In: Scott D.S. (Ed). Axiomatic Set Theory. Proceedings of Symposia in Pure Mathematics vol. 13, part I (1971), American Mathematical Society, Providence 83-134
    • (1971) Proceedings of Symposia in Pure Mathematics , vol.13 PART I , pp. 83-134
  • 36
    • 33748328718 scopus 로고
    • The sizes of the indescribable cardinals
    • Axiomatic Set Theory. Scott D.S. (Ed), American Mathematical Society, Providence
    • The sizes of the indescribable cardinals. In: Scott D.S. (Ed). Axiomatic Set Theory. Proceedings of Symposia in Pure Mathematics vol. 13, part I (1971), American Mathematical Society, Providence 205-218
    • (1971) Proceedings of Symposia in Pure Mathematics , vol.13 PART I , pp. 205-218
  • 37
    • 33748315744 scopus 로고
    • On the logical complexity of several axioms of set theory
    • Axiomatic Set Theory. Scott D.S. (Ed), American Mathematical Society, Providence
    • On the logical complexity of several axioms of set theory. In: Scott D.S. (Ed). Axiomatic Set Theory. Proceedings of Symposia in Pure Mathematics vol. 13, part I (1971), American Mathematical Society, Providence 219-230
    • (1971) Proceedings of Symposia in Pure Mathematics , vol.13 PART I , pp. 219-230
  • 38
    • 0010001010 scopus 로고
    • On the decomposition of sets of reals to Borel sets
    • (with Robert M. Solovay)
    • (with Robert M. Solovay). On the decomposition of sets of reals to Borel sets. Annals of Mathematical Logic 5 (1972) 1-19
    • (1972) Annals of Mathematical Logic , vol.5 , pp. 1-19
  • 39
    • 0004265334 scopus 로고
    • (with Abraham A. Fraenkel and Yehoshua Bar-Hillel), North-Holland, Amsterdam 404 pages
    • (with Abraham A. Fraenkel and Yehoshua Bar-Hillel). Foundations of Set Theory (1973), North-Holland, Amsterdam 404 pages
    • (1973) Foundations of Set Theory
  • 40
    • 33748296747 scopus 로고
    • Parameters in the comprehension axiom schemas of set theory
    • Proceedings of the Tarski Symposium. Henkin L., et al. (Ed), American Mathematical Society, Providence
    • Parameters in the comprehension axiom schemas of set theory. In: Henkin L., et al. (Ed). Proceedings of the Tarski Symposium. Proceedings of Symposia in Pure Mathematics vol. 25 (1974), American Mathematical Society, Providence 309-324
    • (1974) Proceedings of Symposia in Pure Mathematics , vol.25 , pp. 309-324
  • 41
    • 33748333815 scopus 로고
    • The role of classes in set theory (an excerpt from [39])
    • Müller G.H. (Ed), North-Holland, Amsterdam
    • The role of classes in set theory (an excerpt from [39]). In: Müller G.H. (Ed). Sets and Classes (1976), North-Holland, Amsterdam 173-215
    • (1976) Sets and Classes , pp. 173-215
  • 42
    • 0004233943 scopus 로고
    • Springer-Verlag, Berlin 391 pages. Reprinted by Dover Publications, 2003
    • Basic Set Theory (1979), Springer-Verlag, Berlin 391 pages. Reprinted by Dover Publications, 2003
    • (1979) Basic Set Theory
  • 43
    • 33748328717 scopus 로고    scopus 로고
    • Mathematical Logic, A Course of the Open University of Israel, 1985 (in Hebrew)
  • 44
    • 33748301269 scopus 로고    scopus 로고
    • Academon Press (in Hebrew)
    • Mathematical Logic A (1997), Academon Press (in Hebrew)
    • (1997) Mathematical Logic A
  • 45
    • 0041078424 scopus 로고
    • Zur Axiomatik der Mengenlehre
    • Ackermann W. Zur Axiomatik der Mengenlehre. Mathematische Annalen 131 (1956) 336-345
    • (1956) Mathematische Annalen , vol.131 , pp. 336-345
    • Ackermann, W.1
  • 46
    • 0010760069 scopus 로고
    • Some consequences of the axiom of constructibility
    • Addison Jr. J.W. Some consequences of the axiom of constructibility. Fundamenta Mathematicae 46 (1959) 337-357
    • (1959) Fundamenta Mathematicae , vol.46 , pp. 337-357
    • Addison Jr., J.W.1
  • 48
    • 0001743787 scopus 로고
    • Ineffability properties of cardinals I
    • Infinite and Finite Sets. Hajnal A., Rado R., and Sós V.T. (Eds), North-Holland, Amsterdam
    • Baumgartner J.E. Ineffability properties of cardinals I. In: Hajnal A., Rado R., and Sós V.T. (Eds). Infinite and Finite Sets. Colloquia Mathematica Societatis Janos Bolyai vol. 10 (1975), North-Holland, Amsterdam
    • (1975) Colloquia Mathematica Societatis Janos Bolyai , vol.10
    • Baumgartner, J.E.1
  • 49
    • 33748298091 scopus 로고    scopus 로고
    • Norman Bentwich, The Hebrew University of Jerusalem, 1918-1960, Weidenfeld and Nicolson, London, 1961
  • 50
    • 0039700655 scopus 로고
    • Zur Frage der Unendlichkeitsschemata in der axiomatischen Mengenlehre
    • Bar-Hillel Y., Poznanski E.I.J., Rabin M.O., and Robinson A. (Eds), Magnes Press, Jerusalem (dedicated to Professor A.A. Fraenkel on his 70th Birthday)
    • Bernays P. Zur Frage der Unendlichkeitsschemata in der axiomatischen Mengenlehre. In: Bar-Hillel Y., Poznanski E.I.J., Rabin M.O., and Robinson A. (Eds). Essays on the Foundations of Mathematics (1961), Magnes Press, Jerusalem 3-49 (dedicated to Professor A.A. Fraenkel on his 70th Birthday)
    • (1961) Essays on the Foundations of Mathematics , pp. 3-49
    • Bernays, P.1
  • 51
    • 33748296746 scopus 로고    scopus 로고
    • Paul J. Cohen, The independence of the Axiom of Choice, Stanford University, 1963 (mimeographed preprint)
  • 56
    • 33748334371 scopus 로고
    • Some applications of the notions of forcing and generic sets (summary)
    • Addison Jr. J.W., Henkin L., and Tarski A. (Eds), North-Holland, Amsterdam
    • Feferman S. Some applications of the notions of forcing and generic sets (summary). In: Addison Jr. J.W., Henkin L., and Tarski A. (Eds). The Theory of Models (Proceedings of the 1963 International Symposium at Berkeley) (1965), North-Holland, Amsterdam 89-95
    • (1965) The Theory of Models (Proceedings of the 1963 International Symposium at Berkeley) , pp. 89-95
    • Feferman, S.1
  • 57
    • 0000041150 scopus 로고
    • Some applications of the notions of forcing and generic sets
    • Feferman S. Some applications of the notions of forcing and generic sets. Fundamenta Mathematicae 56 (1965) 325-345
    • (1965) Fundamenta Mathematicae , vol.56 , pp. 325-345
    • Feferman, S.1
  • 58
    • 0006831529 scopus 로고
    • Zu den Grundlagen der Cantor-Zermeloschen Mengenlehre
    • Fraenkel A.A. Zu den Grundlagen der Cantor-Zermeloschen Mengenlehre. Mathematische Annalen 86 (1922) 230-237
    • (1922) Mathematische Annalen , vol.86 , pp. 230-237
    • Fraenkel, A.A.1
  • 59
    • 0039753163 scopus 로고
    • Über den Begriff 'definit' und die Unabhängigkeit des Auswahlaxioms
    • Translated in van Heijenoort (Ed.), From Frege to Gödel: a Source Book in Mathematical Logic, 1879-1931, Harvard University Press, Cambridge 1967
    • Fraenkel A.A. Über den Begriff 'definit' und die Unabhängigkeit des Auswahlaxioms. Sitzungsberichte der Preussischen Akademie der Wissenschaften, Physikalish-mathematische Klass (1922) 253-257 Translated in van Heijenoort (Ed.), From Frege to Gödel: a Source Book in Mathematical Logic, 1879-1931, Harvard University Press, Cambridge 1967
    • (1922) Sitzungsberichte der Preussischen Akademie der Wissenschaften, Physikalish-mathematische Klass , pp. 253-257
    • Fraenkel, A.A.1
  • 61
    • 33748288745 scopus 로고    scopus 로고
    • Robert J. Gauntt, Undefinability of cardinality, in: Lectures notes prepared in connection with the Summer Institute on Axiomatic Set Theory held at University of California, Los Angeles, IV-M, 1967
  • 62
    • 0009977816 scopus 로고
    • Beweisbarkeit und Unbeweisbarkeit van Anfangsfällen der transfiniten Induktion in der reinen Zahlentheorie
    • Translated in: M.E. Szabo (Ed.), The Collected Papers of Gerhard Gentzen, North-Holland, Amsterdam 1969, pp. 287-308
    • Gentzen G. Beweisbarkeit und Unbeweisbarkeit van Anfangsfällen der transfiniten Induktion in der reinen Zahlentheorie. Mathematische Annalen 119 (1943) 140-161 Translated in: M.E. Szabo (Ed.), The Collected Papers of Gerhard Gentzen, North-Holland, Amsterdam 1969, pp. 287-308
    • (1943) Mathematische Annalen , vol.119 , pp. 140-161
    • Gentzen, G.1
  • 63
    • 0000599738 scopus 로고
    • The consistency of the axiom of choice and of the generalized continuum-hypothesis
    • Reprinted in [69], pp. 26-27
    • Gödel K. The consistency of the axiom of choice and of the generalized continuum-hypothesis. Proceedings of the National Academy of Sciences, USA 24 (1938) 556-557 Reprinted in [69], pp. 26-27
    • (1938) Proceedings of the National Academy of Sciences, USA , vol.24 , pp. 556-557
    • Gödel, K.1
  • 64
    • 0038480087 scopus 로고
    • Consistency-proof for the generalized continuum-hypothesis
    • Reprinted in [69], pp. 28-32
    • Gödel K. Consistency-proof for the generalized continuum-hypothesis. Proceedings of the National Academy of Sciences, USA 25 (1939) 220-224 Reprinted in [69], pp. 28-32
    • (1939) Proceedings of the National Academy of Sciences, USA , vol.25 , pp. 220-224
    • Gödel, K.1
  • 65
    • 0010679048 scopus 로고
    • The Consistency of the Axiom of Choice and of the Generalized Continuum Hypothesis with the Axioms of Set Theory
    • Princeton University Press, Princeton Reprinted in [69], pp. 33-101
    • Gödel K. The Consistency of the Axiom of Choice and of the Generalized Continuum Hypothesis with the Axioms of Set Theory. Annals of Mathematics Studies #3 (1940), Princeton University Press, Princeton Reprinted in [69], pp. 33-101
    • (1940) Annals of Mathematics Studies #3
    • Gödel, K.1
  • 66
    • 33748327361 scopus 로고    scopus 로고
    • Kurt Gödel, Lecture [on the] consistency [of the] continuum hypothesis, Brown University, in [70], pp. 175-185, and the page references are to these, 1940
  • 67
    • 33748308065 scopus 로고    scopus 로고
    • Kurt Gödel, Remarks before the Princeton bicentennial conference on problems in mathematics, 1-4, in [69, 1946], pp. 150-153
  • 68
    • 4243539729 scopus 로고
    • What is Cantor's continuum problem?
    • Gödel K. What is Cantor's continuum problem?. American Mathematical Society 54 (1947) 515-525
    • (1947) American Mathematical Society , vol.54 , pp. 515-525
    • Gödel, K.1
  • 69
    • 4243539729 scopus 로고
    • What is Cantor's continuum problem?
    • (errata). Reprinted in [69], pp. 176-187
    • Gödel K. What is Cantor's continuum problem?. American Mathematical Society 55 (1947) 151 (errata). Reprinted in [69], pp. 176-187
    • (1947) American Mathematical Society , vol.55 , pp. 151
    • Gödel, K.1
  • 70
    • 0003913615 scopus 로고    scopus 로고
    • Feferman S. (Ed), Oxford University Press, New York
    • Gödel K. In: Feferman S. (Ed). Collected Works vol. 2 (1990), Oxford University Press, New York
    • (1990) Collected Works , vol.2
    • Gödel, K.1
  • 71
    • 0003913615 scopus 로고    scopus 로고
    • Feferman S. (Ed), Oxford University Press, New York
    • Gödel K. In: Feferman S. (Ed). Collected Works vol. 3 (1995), Oxford University Press, New York
    • (1995) Collected Works , vol.3
    • Gödel, K.1
  • 72
    • 0003913615 scopus 로고    scopus 로고
    • Feferman S., and Dawson Jr. J.W. (Eds), Clarendon Press, Oxford
    • Gödel K. In: Feferman S., and Dawson Jr. J.W. (Eds). Collected Works vol. 4 (2003), Clarendon Press, Oxford
    • (2003) Collected Works , vol.4
    • Gödel, K.1
  • 73
    • 0003913615 scopus 로고    scopus 로고
    • Feferman S., and Dawson Jr. J.W. (Eds), Clarendon Press, Oxford
    • Gödel K. In: Feferman S., and Dawson Jr. J.W. (Eds). Collected Works vol. 5 (2003), Clarendon Press, Oxford
    • (2003) Collected Works , vol.5
    • Gödel, K.1
  • 75
    • 0039349519 scopus 로고
    • On a consistency theorem connected with the generalized continuum problem
    • Hajnal A. On a consistency theorem connected with the generalized continuum problem. Acta Mathematica Academiae Scientiarum Hungaricae 12 (1961) 321-376
    • (1961) Acta Mathematica Academiae Scientiarum Hungaricae , vol.12 , pp. 321-376
    • Hajnal, A.1
  • 76
    • 0040534621 scopus 로고
    • The independence of the axiom of choice from the Boolean prime ideal theorem (abstract)
    • Halpern J.D. The independence of the axiom of choice from the Boolean prime ideal theorem (abstract). Notices of the American Mathematical Society 8 (1961) 279-280
    • (1961) Notices of the American Mathematical Society , vol.8 , pp. 279-280
    • Halpern, J.D.1
  • 77
    • 0011283552 scopus 로고
    • The independence of the axiom of choice from the Boolean prime ideal theorem
    • Halpern J.D. The independence of the axiom of choice from the Boolean prime ideal theorem. Fundamenta Mathmaticae 55 (1964) 57-66
    • (1964) Fundamenta Mathmaticae , vol.55 , pp. 57-66
    • Halpern, J.D.1
  • 80
    • 0040407686 scopus 로고
    • Limitations of the Fraenkel-Mostowski method of independence proofs
    • Howard P.E. Limitations of the Fraenkel-Mostowski method of independence proofs. The Journal of Symbolic Logic 38 (1973) 416-422
    • (1973) The Journal of Symbolic Logic , vol.38 , pp. 416-422
    • Howard, P.E.1
  • 86
    • 85023527036 scopus 로고
    • From accessible to inaccessible cardinals
    • (errata)
    • Jerome Keisler H., and Tarski A. From accessible to inaccessible cardinals. Fundamenta Mathematicae 57 (1965) 119 (errata)
    • (1965) Fundamenta Mathematicae , vol.57 , pp. 119
    • Jerome Keisler, H.1    Tarski, A.2
  • 87
    • 0039223321 scopus 로고
    • Über eine Abschwächung des Auswahlpostulates
    • Kinna W., and Wagner K. Über eine Abschwächung des Auswahlpostulates. Fundamenta Mathematicae 42 (1955) 75-82
    • (1955) Fundamenta Mathematicae , vol.42 , pp. 75-82
    • Kinna, W.1    Wagner, K.2
  • 90
    • 0041001869 scopus 로고
    • The independence of the ordering principle from a restricted axiom of choice
    • Läuchli H. The independence of the ordering principle from a restricted axiom of choice. Fundamenta Mathematicae 54 (1964) 31-43
    • (1964) Fundamenta Mathematicae , vol.54 , pp. 31-43
    • Läuchli, H.1
  • 96
    • 33748326383 scopus 로고
    • The independence of a weak axiom of choice
    • Mendelson E. The independence of a weak axiom of choice. The Journal of Symbolic Logic 21 (1956) 350-366
    • (1956) The Journal of Symbolic Logic , vol.21 , pp. 350-366
    • Mendelson, E.1
  • 97
    • 33748333810 scopus 로고
    • Fraenkel's addition to the axioms of Zermelo
    • Bar-Hillel Y., Poznanski E.I.J., Rabin M.O., and Robinson A. (Eds), Magnes Press, Jerusalem (dedicated to Professor A.A. Fraenkel on his 70th Birthday)
    • Montague R.M. Fraenkel's addition to the axioms of Zermelo. In: Bar-Hillel Y., Poznanski E.I.J., Rabin M.O., and Robinson A. (Eds). Essays on the Foundations of Mathematics (1961), Magnes Press, Jerusalem 91-114 (dedicated to Professor A.A. Fraenkel on his 70th Birthday)
    • (1961) Essays on the Foundations of Mathematics , pp. 91-114
    • Montague, R.M.1
  • 98
    • 4544254216 scopus 로고
    • The origins of forcing
    • Drake F.R., and Truss J.K. (Eds), North-Holland, Amsterdam
    • Moore G.H. The origins of forcing. In: Drake F.R., and Truss J.K. (Eds). Logic Colloquium'86 (1988), North-Holland, Amsterdam
    • (1988) Logic Colloquium'86
    • Moore, G.H.1
  • 99
    • 0002603207 scopus 로고
    • Über die Unabhängigkeit des Wohlordnungssatzes vom Ordnungsprinzip
    • Mostowski A.M. Über die Unabhängigkeit des Wohlordnungssatzes vom Ordnungsprinzip. Fundamenta Mathematicae 32 (1939) 201-252
    • (1939) Fundamenta Mathematicae , vol.32 , pp. 201-252
    • Mostowski, A.M.1
  • 100
    • 33748330138 scopus 로고
    • On the principle of dependent choices
    • Mostowski A.M. On the principle of dependent choices. Fundamenta Mathematicae 35 (1948) 127-130
    • (1948) Fundamenta Mathematicae , vol.35 , pp. 127-130
    • Mostowski, A.M.1
  • 101
    • 33646968649 scopus 로고
    • On a problem of W. Kinna and K. Wagner
    • Mostowski A.M. On a problem of W. Kinna and K. Wagner. Colloquium Mathematicum 6 (1958) 207-208
    • (1958) Colloquium Mathematicum , vol.6 , pp. 207-208
    • Mostowski, A.M.1
  • 102
    • 0043041971 scopus 로고
    • Ordinal definability
    • Axiomatic Set Theory. Scott D.S. (Ed), American Mathematical Society, Providence
    • Myhill J., and Scott D.S. Ordinal definability. In: Scott D.S. (Ed). Axiomatic Set Theory. Proceedings of Symposia in Pure Mathematics vol. 13, part I (1971), American Mathematical Society, Providence 271-278
    • (1971) Proceedings of Symposia in Pure Mathematics , vol.13 PART I , pp. 271-278
    • Myhill, J.1    Scott, D.S.2
  • 103
    • 0010151776 scopus 로고
    • Zermelo-Fraenkel consistency results by Fraenkel-Mostowski methods
    • Pincus D. Zermelo-Fraenkel consistency results by Fraenkel-Mostowski methods. The Journal of Symbolic Logic 37 (1972) 721-743
    • (1972) The Journal of Symbolic Logic , vol.37 , pp. 721-743
    • Pincus, D.1
  • 106
    • 0002029017 scopus 로고
    • An independence result concerning the axiom of choice
    • Sageev G. An independence result concerning the axiom of choice. Annals of Mathematical Logic 8 (1975) 1-184
    • (1975) Annals of Mathematical Logic , vol.8 , pp. 1-184
    • Sageev, G.1
  • 110
    • 51249181633 scopus 로고
    • Can you take Solovay's inaccessible away?
    • Shelah S. Can you take Solovay's inaccessible away?. Israel Journal of Mathematics 49 (1984) 1-47
    • (1984) Israel Journal of Mathematics , vol.49 , pp. 1-47
    • Shelah, S.1
  • 113
    • 33748304849 scopus 로고    scopus 로고
    • Joseph R. Shoenfield, Constructible sets (abstract), in: Summaries of talks, Summer Institute for Symbolic Logic, Cornell University, 1957, Institute for Defense Analysis, Princeton, vol. 2, 1957, p. 214
  • 114
    • 0040534564 scopus 로고
    • On the independence of the axiom of constructibility
    • Shoenfield J.R. On the independence of the axiom of constructibility. American Journal of Mathematics 81 (1959) 537-540
    • (1959) American Journal of Mathematics , vol.81 , pp. 537-540
    • Shoenfield, J.R.1
  • 115
    • 0002135020 scopus 로고
    • The problem of predicativity
    • Bar-Hillel Y., Poznanski E.I.J., Rabin M.O., and Robinson A. (Eds), Magnes Press, Jerusalem (dedicated to Professor A.A. Fraenkel on his 70th Birthday)
    • Shoenfield J.R. The problem of predicativity. In: Bar-Hillel Y., Poznanski E.I.J., Rabin M.O., and Robinson A. (Eds). Essays on the Foundations of Mathematics (1961), Magnes Press, Jerusalem 132-139 (dedicated to Professor A.A. Fraenkel on his 70th Birthday)
    • (1961) Essays on the Foundations of Mathematics , pp. 132-139
    • Shoenfield, J.R.1
  • 117
  • 119
    • 0002548418 scopus 로고
    • A model of set theory in which every set of reals is Lebesgue measurable
    • Solovay R.M. A model of set theory in which every set of reals is Lebesgue measurable. Annals of Mathematics 92 (1970) 1-56
    • (1970) Annals of Mathematics , vol.92 , pp. 1-56
    • Solovay, R.M.1


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