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Volumn 7, Issue 4, 2001, Pages 504-520

Second-order logic and foundations of mathematics

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EID: 0035733098     PISSN: 10798986     EISSN: None     Source Type: Journal    
DOI: 10.2307/2687796     Document Type: Article
Times cited : (79)

References (16)
  • 2
    • 0002785435 scopus 로고
    • Completeness in the theory of types
    • LEON HENKIN, Completeness in the theory of types, The Journal of Symbolic Logic, vol. 15 (1950), pp. 81-91.
    • (1950) The Journal of Symbolic Logic , vol.15 , pp. 81-91
    • Henkin, L.1
  • 3
    • 0038956098 scopus 로고
    • Reductions in the theory of types
    • JAAKKO HINTIKKA, Reductions in the theory of types, Acta Philos. Fenn., vol. 8 (1955), pp. 57-115.
    • (1955) Acta Philos. Fenn. , vol.8 , pp. 57-115
    • Hintikka, J.1
  • 4
    • 0004090824 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge, with an appendix by Gabriel Sundu.
    • _, The principles of mathematics revisited, Cambridge University Press, Cambridge, 1996, with an appendix by Gabriel Sundu.
    • (1996) The Principles of Mathematics Revisited
  • 6
    • 0040456170 scopus 로고
    • On extensions of elementary logic
    • PER LINDSTRÖM, On extensions of elementary logic, Theoria, vol. 35 (1969), pp. 1-11.
    • (1969) Theoria , vol.35 , pp. 1-11
    • Lindström, P.1
  • 7
    • 77949964507 scopus 로고
    • A note on weak second order logic with variables for elementarily definable relations
    • Bertrand Russell Memorial Logic Conference, Leeds
    • _, A note on weak second order logic with variables for elementarily definable relations, The proceedings of the Bertrand Russell memorial conference (Uldum, 1971), Bertrand Russell Memorial Logic Conference, Leeds, 1973, pp. 221-233.
    • (1973) The Proceedings of the Bertrand Russell Memorial Conference (Uldum, 1971) , pp. 221-233
  • 10
    • 0040140336 scopus 로고
    • Concerning the problem of axiomatizability of the field of real numbers in the weak second order logic
    • Magnes Press, Hebrew University, Jerusalem
    • ANDRZEJ MOSTOWSKI, Concerning the problem of axiomatizability of the field of real numbers in the weak second order logic, Essays on the foundations of mathematics, Magnes Press, Hebrew University, Jerusalem, 1961, pp. 269-286.
    • (1961) Essays on the Foundations of Mathematics , pp. 269-286
    • Mostowski, A.1
  • 11
    • 0013424925 scopus 로고
    • A case for second-order logic, Oxford Science Publications, The Clarendon Press Oxford University Press, New York
    • STEWART SHAPIRO, Foundations without foundationalism, A case for second-order logic, Oxford Science Publications, The Clarendon Press Oxford University Press, New York, 1991.
    • (1991) Foundations Without Foundationalism
    • Shapiro, S.1
  • 12
    • 51249183791 scopus 로고
    • ε-saturated models, the main gap
    • ε-saturated models, the main gap, Israel Journal of Mathematics, vol. 43 (1982), no. 4, pp. 324-356.
    • (1982) Israel Journal of Mathematics , vol.43 , Issue.4 , pp. 324-356
    • Shelah, S.1
  • 13
    • 51249179947 scopus 로고
    • The spectrum problem. II. Totally transcendental and infinite depth
    • _, The spectrum problem. II. Totally transcendental and infinite depth, Israel Journal of Mathematics, vol. 41 (1982), no. 4, pp. 357-364.
    • (1982) Israel Journal of Mathematics , vol.41 , Issue.4 , pp. 357-364
  • 16
    • 85047946641 scopus 로고
    • Set-theoretic definability of logics
    • Springer, New York
    • JOUKO VÄÄNÄNEN, Set-theoretic definability of logics, Model-theoretic logics, Springer, New York, 1985, pp. 599-643.
    • (1985) Model-theoretic Logics , pp. 599-643
    • Väänänen, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.