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当代数学哲学的语境选择及其意义 被引量:9

Choice of Contextual Interpretation in Contemporary Philosophy of Mathematics and Its Significance
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摘要 The fundamental aim of philosophy of mathematics is to make a reasonable interpretation of the nature of mathematics. Facing all kinds of interpretative approaches to the problems of mathematical knowledge in the contemporary philosophy of mathematics and controversies resulted, what basic point and analytical strategy will the philosophy of mathematics adopt to make comprehensive and valid interpretation of mathematics? The paper tries to analyze the nature of mathematical knowledge in terms of four parts, namely, the development of the contemporary philosophy of mathematics and the choice of mathematical context, contextualization of mathematical knowledge, features of mathematical context and the significance of contextual analysis in philosophy of mathematics. By these concrete interpretations, the paper provides a novel method, namely, contextual analysis, which will become one of the interpretative approaches in the future contemporary philosophy of mathematics. The fundamental aim of philosophy of mathematics is to make a reasonable interpretation of the nature of mathematics. Facing all kinds of interpretative approaches to the problems of mathematical knowledge in the contemporary philosophy of mathematics and controversies resulted, what basic point and analytical strategy will the philosophy of mathematics adopt to make comprehensive and valid interpretation of mathematics? The paper tries to analyze the nature of mathematical knowledge in terms of four parts, namely, the development of the contemporary philosophy of mathematics and the choice of mathematical context, contextualization of mathematical knowledge, features of mathematical context and the significance of contextual analysis in philosophy of mathematics. By these concrete interpretations, the paper provides a novel method, namely, contextual analysis, which will become one of the interpretative approaches in the future contemporary philosophy of mathematics.
出处 《哲学研究》 CSSCI 北大核心 2006年第3期74-81,共8页 Philosophical Research
基金 国家教育部哲学社会科学基金重大课题"当代科学哲学的发展趋势研究"(项目编号为04JZD0004)资助项目。
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参考文献6

  • 1郭贵春.科学修辞学的本质特征[J].哲学研究,2000(7):19-26. 被引量:14
  • 2哈密尔顿,A.G.1989年.《数学家的逻辑》.商务印书馆.
  • 3Corfield, David, 2003, Towards a Philosophy of Real Mathematics, Cambridge University Press.
  • 4Ernest, Paul, 1998, Social Constructivism as a Philosophy of Mathematics, Albany: State University of New York Press.
  • 5Tymoczko, Thomas, 1998, New Directions in the Philosophy of Mathematics, Princeton University Press.
  • 6Wu , T. T. & Yang, C. N. 1975, "Concept of nonintergrable phase factors and global formulation of gauge fields", Phys Rev D, 12(12): 3845 - 3857.

二级参考文献9

  • 1H. Krips, J. E. Meguire and Trevor Melia (eds.), Science, Reason and Rhetoric, University of Pittsburgh Press, 1995. p.9, p.252.
  • 2Alan G. Gross and William M. Keith (eds.), Rhetorical Hermeneutics, State University of New York Press, 1997, p.25, p.100, p.28,p.114, p.262,p.264, p.117,p.200,p.229.
  • 3Alan G. Gross, The Rhetoric of Science, Hervard Universtity Press, 1990, p.44, p.52,p.5, p.34.
  • 4Marcello Pera and William R. Shea, Persuading Science-the Art of Scientific Rhetoric, Science History Publication, U. S. A., 1991, p. 35.
  • 5Marcello Pera, The Discourses of Science, The university of Chicago Press, 1994, p. 101.
  • 6Dudley Shapere, On Deciding What to Believe and How to Talk About Nature, Science History Publication, U. S. A. , 1991, p. 99.
  • 7Herbert W. Simons (ed.), Rhetorical Turn, University of Chicago Press, 1990, p. 298.
  • 8M. Hyrners, Metophar, Cognitivity, and Meaningholism, Philosophy and Rhetoric, No. 4, 1998,p. 270.
  • 9Marcelo Dascal and G. Gross, The Marriage of Pragmatics and Rhetoric, Philosophy and Rhetoric,No. 2, 1999, p. 112.

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