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Volumn 14, Issue 1-2, 2009, Pages 59-74

The role of diagrams in mathematical argument

Author keywords

Anti platonism; Diagram; Mathematical reasoning; Proof

Indexed keywords

ABSTRACT OBJECT; ANTI-PLATONISM; DIAGRAM; MATHEMATICAL REASONING; PERCEIVED SHAPE; PROOF;

EID: 60449114152     PISSN: 12331821     EISSN: 15728471     Source Type: Journal    
DOI: 10.1007/s10699-008-9147-6     Document Type: Article
Times cited : (17)

References (20)
  • 3
    • 84986817201 scopus 로고
    • Visualizing as a means of geometrical discovery
    • Giaquinto M. (1992) Visualizing as a means of geometrical discovery. Mind and Language 7: 382-401
    • (1992) Mind and Language , vol.7 , pp. 382-401
    • Giaquinto, M.1
  • 5
    • 0007242525 scopus 로고
    • Epistemology of visual thinking in elementary real analysis
    • Giaquinto M. (1994) Epistemology of visual thinking in elementary real analysis. British Journal for Philosophy of Science 45: 789-813
    • (1994) British Journal for Philosophy of Science , vol.45 , pp. 789-813
    • Giaquinto, M.1
  • 9
    • 0040673519 scopus 로고    scopus 로고
    • What perception is doing, and what it is not doing, in mathematical reasoning
    • Lomas D. (2002) What perception is doing, and what it is not doing, in mathematical reasoning. British Journal for Philosophy of Science 53: 205-223
    • (2002) British Journal for Philosophy of Science , vol.53 , pp. 205-223
    • Lomas, D.1
  • 11
    • 60449100982 scopus 로고
    • The formation of modern conceptions of formal logic in the development of geometry
    • In New York: Columbia University Press
    • Nagel, E. (1979). The formation of modern conceptions of formal logic in the development of geometry. In Teleology Revisited (pp. 195-259). New York: Columbia University Press.
    • (1979) Teleology Revisited , pp. 195-259
    • Nagel, E.1
  • 12
    • 0003560731 scopus 로고
    • Washington, DC: Mathematical Association of America
    • Nelsen, R. (1993). Proofs without words. Washington, DC: Mathematical Association of America.
    • (1993) Proofs Without Words
    • Nelsen, R.1
  • 13
    • 17544366304 scopus 로고
    • Meno. In E. Hamilton & H. Cairns (Eds.) Princeton: Princeton University Press
    • Plato (1961). Meno. In E. Hamilton & H. Cairns (Eds.) The collected dialogues of Plato (pp. 353-384). Princeton: Princeton University Press.
    • (1961) The Collected Dialogues of Plato , pp. 353-384
    • Plato1
  • 15
    • 0001583215 scopus 로고
    • Did Euclid's Elements, Book I, develop geometry axiomatically?
    • Seidenberg A. (1975) Did Euclid's Elements, Book I, develop geometry axiomatically?. Archive for History of Exact Science 14: 263-295
    • (1975) Archive for History of Exact Science , vol.14 , pp. 263-295
    • Seidenberg, A.1
  • 17
    • 60449097473 scopus 로고    scopus 로고
    • Construction and reductio proof
    • Sherry D. (1999) Construction and reductio proof. Kant-Studien 90: 23-39
    • (1999) Kant-Studien , vol.90 , pp. 23-39
    • Sherry, D.1
  • 18
    • 84986797954 scopus 로고
    • The withering away of formal semantics?
    • Tennant N. (1986) The withering away of formal semantics?. Mind and Language 1: 302-318
    • (1986) Mind and Language , vol.1 , pp. 302-318
    • Tennant, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.