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Volumn 96, Issue 1-3, 1999, Pages 335-342

A note on applicability of the incompleteness theorem to human mind

(1)  Pudlák, Pavel a  

a NONE

Author keywords

Human mind; Incompleteness theorem; Machine

Indexed keywords


EID: 0033095431     PISSN: 01680072     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-0072(98)00044-X     Document Type: Article
Times cited : (6)

References (13)
  • 1
    • 0000675423 scopus 로고
    • Transfinite recursive progressions of axiomatic theories
    • S. Feferman, Transfinite recursive progressions of axiomatic theories, J. Symbolic Logic 27 (1962) 259-316.
    • (1962) J. Symbolic Logic , vol.27 , pp. 259-316
    • Feferman, S.1
  • 2
    • 77956948564 scopus 로고
    • Theories of finite type related to mathematical practice
    • J. Barwise (Ed.), North-Holland, Amsterdam
    • S. Feferman, Theories of finite type related to mathematical practice, in: J. Barwise (Ed.), Handbook of Mathematical Logic, North-Holland, Amsterdam, 1977, pp. 913-971.
    • (1977) Handbook of Mathematical Logic , pp. 913-971
    • Feferman, S.1
  • 3
    • 0009092419 scopus 로고    scopus 로고
    • Gödel's program for new axioms: Why, where, how and what?
    • P. Hájek (Ed.), Springer, Berlin
    • S. Feferman, Gödel's program for new axioms: why, where, how and what? in: P. Hájek (Ed.), Gödel'96, Springer, Berlin, 1996, pp. 3-22.
    • (1996) Gödel'96 , pp. 3-22
    • Feferman, S.1
  • 6
    • 0009248953 scopus 로고
    • Ordinal logics and the characterization of informal concepts of proof
    • J.A. Todd (Ed.), Cambridge Univ. Press, Cambridge
    • G. Kreisel, Ordinal logics and the characterization of informal concepts of proof, in: J.A. Todd (Ed.), Proc. Internat. Congress of Mathematicians, Cambridge Univ. Press, Cambridge, 1960, pp. 289-299.
    • (1960) Proc. Internat. Congress of Mathematicians , pp. 289-299
    • Kreisel, G.1
  • 7
    • 0002239257 scopus 로고
    • Reflection principles and their use for establishing the complexity of axiomatic systems
    • G. Kreisel, A. Lévy, Reflection principles and their use for establishing the complexity of axiomatic systems, Z. Math. Logik 14 (1968) 97-142.
    • (1968) Z. Math. Logik , vol.14 , pp. 97-142
    • Kreisel, G.1    Lévy, A.2
  • 8
    • 84971120913 scopus 로고
    • Minds, machines and Gödel
    • J.R. Lucas, Minds, machines and Gödel, Philosophy 36 (1961) 112-127.
    • (1961) Philosophy , vol.36 , pp. 112-127
    • Lucas, J.R.1
  • 12
    • 0009167221 scopus 로고
    • A review of [10]
    • H. Putnam, A review of [10] in Bull. AMS 32(3) (1995) 370-373.
    • (1995) Bull. AMS , vol.32 , Issue.3 , pp. 370-373
    • Putnam, H.1
  • 13
    • 0348174110 scopus 로고
    • The incompleteness theorems
    • J. Barwise (Ed.), North-Holland, Amsterdam
    • C. Smorynski, The incompleteness theorems, in: J. Barwise (Ed.), Handbook of Mathematical Logic, North-Holland, Amsterdam, 1977, pp. 821-865.
    • (1977) Handbook of Mathematical Logic , pp. 821-865
    • Smorynski, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.