메뉴 건너뛰기




Volumn 327, Issue , 2005, Pages 215-250

The Varieties of Mathematical Explanation

Author keywords

Convergence Test; Divergent Series; Inductive Proof; Mathematical Explanation; Mathematical Practice

Indexed keywords


EID: 85050938889     PISSN: 01666991     EISSN: 25428292     Source Type: Book Series    
DOI: 10.1007/1-4020-3335-4_9     Document Type: Chapter
Times cited : (56)

References (23)
  • 3
    • 84936467818 scopus 로고
    • Eine Verbindung zwischen den arithmetischen Eigenschaften verallgemeinerter Bernoullizahlen
    • Girstmair, K. (1993). Eine Verbindung zwischen den arithmetischen Eigenschaften verallgemeinerter Bernoullizahlen, Expositiones Mathematicae 11: 47–63.
    • (1993) Expositiones Mathematicae , vol.11 , pp. 47-63
    • Girstmair, K.1
  • 4
    • 85144691382 scopus 로고    scopus 로고
    • Growth of Mathematical Knowledge,e Kluwer, Dordrecht
    • Grosholz, E. & Breger, H. (eds) (2000). Growth of Mathematical Knowledge,e Kluwer, Dordrecht.
    • (2000)
    • Grosholz, E.1    Breger, H.2
  • 6
    • 84938106042 scopus 로고
    • The Nature of Mathematical Knowledge,e Oxford University Press, New York
    • Kitcher, P. (1984). The Nature of Mathematical Knowledge,e Oxford University Press, New York, Oxford.
    • (1984) Oxford
    • Kitcher, P.1
  • 7
    • 0001496019 scopus 로고
    • Explanatory Unification and the Causal Structure of the World
    • in P. Kitcher & W. Salmon, University of Minnesota Press, Minneapolis
    • Kitcher, P. (1989). Explanatory Unification and the Causal Structure of the World, in P. Kitcher & W. Salmon, (eds), Scientific Explanation,n Vol. XIII of Minnesota Studies in the Philosophy of Science, University of Minnesota Press, Minneapolis.
    • (1989) Scientific Explanation,N Vol. XIII of Minnesota Studies in the Philosophy of Science
    • Kitcher, P.1
  • 9
    • 0002380597 scopus 로고    scopus 로고
    • On Conway’s Recursive Sequence
    • Kubo, T. & Vakil, R. (1996). On Conway’s Recursive Sequence, Discrete Mathematics 152: 225–252.
    • (1996) Discrete Mathematics , vol.152 , pp. 225-252
    • Kubo, T.1    Vakil, R.2
  • 11
    • 33750697848 scopus 로고    scopus 로고
    • Bolzano and Cournot on Mathematical Explanation
    • Mancosu, P. (1999). Bolzano and Cournot on Mathematical Explanation, Revue d’Histoire des Sciences 52: 429–455.
    • (1999) Revue d’Histoire Des Sciences , vol.52 , pp. 429-455
    • Mancosu, P.1
  • 12
    • 33750697848 scopus 로고    scopus 로고
    • On Mathematical Explanation
    • in E. Grosholz & H. Breger
    • Mancosu, P. (2000). On Mathematical Explanation, in E. Grosholz & H. Breger (eds), pp. 103–119.
    • (2000) , pp. 103-119
    • Mancosu, P.1
  • 13
    • 33746802935 scopus 로고    scopus 로고
    • Mathematical Explanation: Problems and Prospects
    • Mancosu, P. (2001). Mathematical Explanation: Problems and Prospects, Topoi 20: 97–117.
    • (2001) Topoi , vol.20 , pp. 97-117
    • Mancosu, P.1
  • 14
    • 85144682962 scopus 로고
    • r − xyz = 0, Complex Analytic Singularities, Vol. 8 of
    • r − xyz = 0, Complex Analytic Singularities, Vol. 8 of Advanced Studies in Pure Mathematics, pp. 281–313.
    • (1987) Advanced Studies in Pure Mathematics , pp. 281-313
    • Nakamura, I.1
  • 15
    • 85144696348 scopus 로고
    • Vorlesungen über¨ Zahlen-und Funktionenlehre, Erster Band, Zweite Abteilung: Unendliche Reihen mit reellen Gliedern, B.G
    • Leipzig, Berlin
    • Pringsheim, A. (1916). Vorlesungen über¨ Zahlen-und Funktionenlehre, Erster Band, Zweite Abteilung: Unendliche Reihen mit reellen Gliedern, B.G. Teubner, Leipzig, Berlin.
    • (1916) Teubner
    • Pringsheim, A.1
  • 16
    • 85144717201 scopus 로고
    • Vorlesungen über¨ Zahlen-und Funktionenlehre, Zweiter Band, Erste Abteilung: Grundlagen der Theorie der analytischen Funktionen einer komplexen Veränderlichenr¨ n, B.G
    • Leipzig, Berlin
    • Pringsheim, A. (1925). Vorlesungen über¨ Zahlen-und Funktionenlehre, Zweiter Band, Erste Abteilung: Grundlagen der Theorie der analytischen Funktionen einer komplexen Veränderlichenr¨ n, B.G. Teubner, Leipzig, Berlin.
    • (1925) Teubner
    • Pringsheim, A.1
  • 17
    • 21344492507 scopus 로고
    • On the Kummer Solutions of the Hypergeometric Equation
    • Prosser, R.T. (1994). On the Kummer Solutions of the Hypergeometric Equation, American Mathematical Monthly 101: 535–543.
    • (1994) American Mathematical Monthly , vol.101 , pp. 535-543
    • Prosser, R.T.1
  • 20
    • 0345912758 scopus 로고    scopus 로고
    • Mathematical Explanation and the Theory of Whyquestions
    • Sandborg, D. (1998). Mathematical Explanation and the Theory of Whyquestions, British Journal for the Philosophy of Science 49: 603–624.
    • (1998) British Journal for the Philosophy of Science , vol.49 , pp. 603-624
    • Sandborg, D.1
  • 22
    • 0347376740 scopus 로고
    • Mathematical Explanation
    • Steiner, M. (1978). Mathematical Explanation, Philosophical Studies 34: 135–151.
    • (1978) Philosophical Studies , vol.34 , pp. 135-151
    • Steiner, M.1
  • 23
    • 41149155628 scopus 로고
    • Kummer’s Test Gives Characterizations for Convergence and Divergence of all Series
    • Tong, J. (1994). Kummer’s Test Gives Characterizations for Convergence and Divergence of all Series, The American Mathematical Monthly 101: 450–452.
    • (1994) The American Mathematical Monthly , vol.101 , pp. 450-452
    • Tong, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.