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Volumn 133, Issue 3, 2002, Pages 305-330

A cantorian argument against infinitesimals

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EID: 28244438908     PISSN: 00397857     EISSN: 15730964     Source Type: Journal    
DOI: 10.1023/A:1021204522829     Document Type: Article
Times cited : (4)

References (19)
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    • Borsuk, K.1    Szmielew, W.2
  • 5
    • 0042657098 scopus 로고
    • Mitteilungen zur lehre vom transfiniten
    • E. Zermelo (ed.), Georg Olms, Hildesheim
    • Cantor, G.: 1932, 'Mitteilungen zur Lehre vom Transfiniten', in E. Zermelo (ed.), Gesammelte Abhandlungen, Georg Olms, Hildesheim, pp. 378-439.
    • (1932) Gesammelte Abhandlungen , pp. 378-439
    • Cantor, G.1
  • 8
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    • Hahn's über die nichtarchimedischen größensysteme and the development of the modern theory of magnitudes and numbers to measure them
    • J. Hintikka (ed.), Kluwer, Boston
    • Ehrlich, P.: 1995, 'Hahn's Über die Nichtarchimedischen Größensysteme and the Development of the Modern Theory of Magnitudes and Numbers to Measure Them', in J. Hintikka (ed.), Essays on the Development of the Foundations of Mathematics, Kluwer, Boston, pp. 165-213.
    • (1995) Essays on the Development of the Foundations of Mathematics , pp. 165-213
    • Ehrlich, P.1
  • 9
    • 0010897022 scopus 로고    scopus 로고
    • From completeness to archimedean completeness
    • Ehrlich, P.: 1997, 'From Completeness to Archimedean Completeness', Synthese 110, 57-76.
    • (1997) Synthese , vol.110 , pp. 57-76
    • Ehrlich, P.1
  • 10
    • 0003877994 scopus 로고    scopus 로고
    • Graduate Texts in Mathematics, Springer, New York
    • Goldblatt, R.: 1998, Lectures on the Hyperreals, Graduate Texts in Mathematics, Springer, New York.
    • (1998) Lectures on the Hyperreals
    • Goldblatt, R.1
  • 12
    • 0002785435 scopus 로고
    • Completeness in the theory of types
    • Henkin, L.: 1950, 'Completeness in the Theory of Types', Journal of Symbolic Logic 15, 81-91.
    • (1950) Journal of Symbolic Logic , vol.15 , pp. 81-91
    • Henkin, L.1
  • 14
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    • Teubner, Stuttgart, 10th edn of Hilbert (1899), with supplement by P. Bernays; page references are to Hilbert (1971)
    • Hilbert, D.: 1968, Grundlagen der Geometrie, Teubner, Stuttgart, 10th edn of Hilbert (1899), with supplement by P. Bernays; page references are to Hilbert (1971).
    • (1968) Grundlagen der Geometrie
    • Hilbert, D.1
  • 15
    • 33748259494 scopus 로고
    • Open Court, La Salle, IL. Translation by Leo Unger of Hilbert (1968)
    • Hilbert, D.: 1971, Foundations of Geometry; 2nd English edn, Open Court, La Salle, IL. Translation by Leo Unger of Hilbert (1968).
    • (1971) Foundations of Geometry; 2nd English Edn
    • Hilbert, D.1
  • 16
    • 0041503468 scopus 로고
    • Dimostrazione dell'impossibilità di segmenti infinitesimi costanti
    • Peano, G.: 1892, 'Dimostrazione dell'impossibilità di segmenti infinitesimi costanti', Rivista di Matematica 2, 58-62.
    • (1892) Rivista di Matematica , vol.2 , pp. 58-62
    • Peano, G.1
  • 17
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    • Non-standard analysis
    • H. Keisler, S. Körner, W. Luxemburg, and A. Young (eds.), Yale University Press, New Haven
    • Robinson, A.: 1979, 'Non-Standard Analysis', in H. Keisler, S. Körner, W. Luxemburg, and A. Young (eds.), Selected Papers, Vol. 2 (Nonstandard Analysis and Philosophy), Yale University Press, New Haven, pp. 3-11.
    • (1979) Selected Papers, Vol. 2 (Nonstandard Analysis and Philosophy) , vol.2 , pp. 3-11
    • Robinson, A.1
  • 18
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    • Cambridge University Press, Cambridge. Page references are to Russell (1938)
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    • Russell, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.