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Volumn 3, Issue 4, 2010, Pages 665-689

Unfolding finitist arithmetic

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EID: 79956130092     PISSN: 17550203     EISSN: 17550211     Source Type: Journal    
DOI: 10.1017/S1755020310000183     Document Type: Article
Times cited : (16)

References (28)
  • 2
    • 0002293333 scopus 로고
    • A language and axioms for explicit mathematics
    • In Crossley, J., editor, Berlin, Germany: Springer
    • Feferman, S. (1975). A language and axioms for explicit mathematics. In Crossley, J., editor. Algebra and Logic, Volume 450 of Lecture Notes in Mathematics. Berlin, Germany: Springer, pp. 87-139.
    • (1975) Algebra and Logic, Volume 450 of Lecture Notes in Mathematics , pp. 87-139
    • Feferman, S.1
  • 3
    • 0009092419 scopus 로고    scopus 로고
    • Gödel's program for new axioms: Why, where, how and what?
    • In Hájek, P., editor, Berlin, Germany: Springer
    • Feferman, S. (1996). Gödel's program for new axioms: Why, where, how and what? In Hájek, P., editor. Gödel '96, Volume 6 of Lecture Notes in Logic. Berlin, Germany: Springer, pp. 3-22.
    • (1996) Gödel '96, Volume 6 of Lecture Notes in Logic , pp. 3-22
    • Feferman, S.1
  • 5
    • 0010740735 scopus 로고    scopus 로고
    • The unfolding of non-finitist arithmetic
    • Feferman, S., & Strahm, T. (2000). The unfolding of non-finitist arithmetic. Annals of Pure and Applied Logic, 104(1-3), 75-96.
    • (2000) Annals of Pure and Applied Logic , vol.104 , Issue.1-3 , pp. 75-96
    • Feferman, S.1    Strahm, T.2
  • 6
    • 61249445036 scopus 로고    scopus 로고
    • Unfolding finitist arithmetic (Abstract)
    • Feferman, S., & Strahm, T. (2001). Unfolding finitist arithmetic (Abstract). Bulletin of Symbolic Logic, 7(1), 111-112.
    • (2001) Bulletin of Symbolic Logic , vol.7 , Issue.1 , pp. 111-112
    • Feferman, S.1    Strahm, T.2
  • 7
    • 34347193348 scopus 로고
    • Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme
    • Gödel, K. (1931). Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme. Monatshefte für Mathematik und Physik, 38, 173-198.
    • (1931) Monatshefte für Mathematik und Physik , vol.38 , pp. 173-198
    • Gödel, K.1
  • 8
    • 0003913615 scopus 로고    scopus 로고
    • In Feferman, S., Dawson, J.W., Jr., Goldfarb,W., Parsons, C.,& Solovay, R. N, New York: Oxford University Press
    • Gödel, K. (1995). In Feferman, S., Dawson, J.W., Jr., Goldfarb,W., Parsons, C.,& Solovay, R. N. Collected Works Vol. III. New York: Oxford University Press.
    • (1995) Collected Works , vol.3
    • Gödel, K.1
  • 9
    • 0003913615 scopus 로고    scopus 로고
    • In Feferman, S., Dawson, J. W., Jr., Goldfarb, W., Parsons, C., & Sieg, W, Oxford: Clarendon Press
    • Gödel, K. (2003). In Feferman, S., Dawson, J. W., Jr., Goldfarb, W., Parsons, C., & Sieg, W. Collected Works Vol. IV. Oxford: Clarendon Press.
    • (2003) Collected Works , vol.4
    • Gödel, K.1
  • 12
    • 0009248953 scopus 로고
    • Ordinal logics and the characterization of informal concepts of proof
    • In Todd, J. A., editor, August 1958 Cambridge: Cambridge University Press
    • Kreisel, G. (1960). Ordinal logics and the characterization of informal concepts of proof. In Todd, J. A., editor. Proceedings International Congress of Mathematicians, 14-21 August 1958. Cambridge: Cambridge University Press, pp. 289-299.
    • (1960) Proceedings International Congress of Mathematicians , pp. 289-299
    • Kreisel, G.1
  • 13
    • 0003326043 scopus 로고
    • Mathematical logic
    • In Saaty, T. L., editor, New York: Wiley
    • Kreisel, G. (1965). Mathematical logic. In Saaty, T. L., editor. Lectures on Modern Mathematics, Vol. 3. New York: Wiley, pp. 95-195.
    • (1965) Lectures on Modern Mathematics , vol.3 , pp. 95-195
    • Kreisel, G.1
  • 14
    • 77956972618 scopus 로고
    • Principles of proof and ordinals implicit in given concepts
    • In Kino, A., Myhill, J., and Vesley, R. E., editors, Amsterdam, The Netherlands: North Holland
    • Kreisel, G. (1970). Principles of proof and ordinals implicit in given concepts. In Kino, A., Myhill, J., and Vesley, R. E., editors. Intuitionism and Proof Theory. Amsterdam, The Netherlands: North Holland, pp. 489-516.
    • (1970) Intuitionism and Proof Theory , pp. 489-516
    • Kreisel, G.1
  • 15
    • 0039172199 scopus 로고
    • Quantifier-free and one-quantifier systems
    • Mints, G. (1973). Quantifier-free and one-quantifier systems. Journal of Soviet Mathematics, 1, 71-84.
    • (1973) Journal of Soviet Mathematics , vol.1 , pp. 71-84
    • Mints, G.1
  • 16
    • 77956955085 scopus 로고
    • On a number theoretic choice schema and its relation to induction
    • In Myhill, J., Kino, A., and Vesley, R., editors, Amsterdam, The Netherlands: North Holland
    • Parsons, C. (1970). On a number theoretic choice schema and its relation to induction. In Myhill, J., Kino, A., and Vesley, R., editors. Intuitionism and Proof Theory, Proceedings of the Summer Conference at Buffalo N.Y., 1968. Amsterdam, The Netherlands: North Holland, pp. 459-473.
    • (1970) Intuitionism and Proof Theory, Proceedings of the Summer Conference at Buffalo N.Y. 1968 , pp. 459-473
    • Parsons, C.1
  • 17
    • 0009007409 scopus 로고    scopus 로고
    • Finitism and intuitive knowledge
    • In Schirn, M., editor, Oxford: Oxford University Press
    • Parsons, C. (1998). Finitism and intuitive knowledge. In Schirn, M., editor. The Philosophy of Mathematics Today. Oxford: Oxford University Press, pp. 249-270.
    • (1998) The Philosophy of Mathematics Today , pp. 249-270
    • Parsons, C.1
  • 19
    • 0010696689 scopus 로고    scopus 로고
    • The non-constructive μ operator, fixed point theories with ordinals, and the bar rule
    • Strahm, T. (2000). The non-constructive μ operator, fixed point theories with ordinals, and the bar rule. Annals of Pure and Applied Logic, 104(1-3), 305-324.
    • (2000) Annals of Pure and Applied Logic , vol.104 , Issue.1-3 , pp. 305-324
    • Strahm, T.1
  • 20
    • 0347700578 scopus 로고
    • Nested recursion
    • Tait, W. (1961). Nested recursion. Mathematische Annalen, 143, 236-250.
    • (1961) Mathematische Annalen , vol.143 , pp. 236-250
    • Tait, W.1
  • 21
    • 77956962032 scopus 로고
    • Constructive reasoning
    • In van Rootselaar, B., and Staal, J. F., editors, Amsterdam, The Netherlands: North Holland
    • Tait, W. (1968). Constructive reasoning. In van Rootselaar, B., and Staal, J. F., editors. Logic, Methodology and Philosophy of Science III. Amsterdam, The Netherlands: North Holland, pp. 185-199.
    • (1968) Logic, Methodology and Philosophy of Science , vol.3 , pp. 185-199
    • Tait, W.1
  • 24
    • 67649296872 scopus 로고    scopus 로고
    • Gödel's correspondence on proof theory and constructive mathematics
    • Tait, W. (2006a). Gödel's correspondence on proof theory and constructive mathematics. Philosophia Mathematica (III), 14, 76-111.
    • (2006) Philosophia Mathematica , vol.3 , Issue.14 , pp. 76-111
    • Tait, W.1
  • 28
    • 72749104691 scopus 로고    scopus 로고
    • Hilbert's program then and now
    • In Jacquette, D., editor, Amsterdam, The Netherlands: Elsevier
    • Zach, R. (2006). Hilbert's program then and now. In Jacquette, D., editor. Philosophy of Logic, Volume 5 of Handbook of the Philosophy of Science. Amsterdam, The Netherlands: Elsevier, pp. 411-447.
    • (2006) Philosophy of Logic, Volume 5 of Handbook of the Philosophy of Science , pp. 411-447
    • Zach, R.1


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