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Volumn , Issue , 2005, Pages 45-56

Signs as means for discoveries: Peirce and his concepts of "diagrammatic reasoning", "theorematic deduction", "hypostatic abstraction", and "theoric transformation"

Author keywords

diagrammatic reasoning; hypostatic abstraction; mathematics; Peirce; semiotics; synthesis; theorematic deduction; theoric transformation

Indexed keywords


EID: 28244453892     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/0-387-24270-8_5     Document Type: Chapter
Times cited : (23)

References (20)
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    • E. Freeman (Ed.) La Salle Hegeler Institut
    • Hintikka, J. (1983 <1980>). C. S. Peirce's 'First Real Discovery' and its Contemporary Relevance. In E. Freeman (Ed.), The relevance of Charles Peirce. La Salle, 111.: Hegeler Institut, 107-118.
    • (1980) The Relevance of Charles Peirce , vol.111 , pp. 107-118
    • Hintikka, J.1
  • 6
    • 84870459903 scopus 로고    scopus 로고
    • The 1903 classification of triadic sign-relations
    • J. Queiroz (Ed.)
    • Hoffmann, M. H. G. (2001a). The 1903 Classification of Triadic Sign-Relations. In J. Queiroz (Ed.), Digital encyclopedia of Charles S. Peirce. Online: http://www.digitalpeirce.org/hoffmann/sighof.htm.
    • (2001) Digital Encyclopedia of Charles S. Peirce
    • Hoffmann, M.H.G.1
  • 8
    • 3843070276 scopus 로고    scopus 로고
    • Skizze einer semiotischen Theorie des Lernens
    • Hoffmann, M. H. G. (2001c). Skizze einer semiotischen Theorie des Lernens. Journal für Mathematik-Didaktik 22(3/4), 231-251.
    • (2001) Journal für Mathematik-Didaktik , vol.22 , Issue.3-4 , pp. 231-251
    • Hoffmann, M.H.G.1
  • 10
    • 85179374616 scopus 로고    scopus 로고
    • Peirce's "Diagrammatic reasoning" as a solution of the learning paradox
    • G. Debrock (Ed.) Amsterdam Rodopi Press
    • Hoffmann, M. H. G. (2003b). Peirce's "Diagrammatic Reasoning" as a Solution of the Learning Paradox. In G. Debrock (Ed.), Process Pragmatism: Essays on a Quiet Philosophical Revolution. Amsterdam Rodopi Press, 121-143.
    • (2003) Process Pragmatism: Essays on a Quiet Philosophical Revolution , pp. 121-143
    • Hoffmann, M.H.G.1
  • 11
    • 84885733480 scopus 로고    scopus 로고
    • Semiotik als Analyse-Instrument
    • M. H. G. Hoffmann (Ed.) Hildesheim: Franzbecker
    • Hoffmann, M. H. G. (2003c). Semiotik als Analyse-Instrument. In M. H. G. Hoffmann (Ed.), Mathematik verstehen-Semiotische Perspektiven. Hildesheim: Franzbecker, 34-77.
    • (2003) Mathematik Verstehen-Semiotische Perspektiven , pp. 34-77
    • Hoffmann, M.H.G.1
  • 12
    • 84867341144 scopus 로고    scopus 로고
    • How to get it. Diagrammatic reasoning as a tool of knowledge development and its pragmatic dimension
    • (in print)
    • Hoffmann, M. H. G. (in print). How to get it. Diagrammatic reasoning as a tool of knowledge development and its pragmatic dimension. Foundations of Science.
    • Foundations of Science
    • Hoffmann, M.H.G.1
  • 13
    • 28244434985 scopus 로고
    • Why hanker after logic? Mathematical imagination, creativity and perception in peirce's systematic philosophy
    • Hull, K. (1994). Why hanker after logic? Mathematical imagination, creativity and perception in Peirce's systematic philosophy. Transactions of the Charles S. Peirce Society 30, 271-295.
    • (1994) Transactions of the Charles S. Peirce Society , vol.30 , pp. 271-295
    • Hull, K.1
  • 14
    • 53149133863 scopus 로고
    • How hintikka misunderstood peirce's account of theorematic reasoning
    • Ketner, K. L. (1985). How Hintikka Misunderstood Peirce's Account of Theorematic Reasoning. Transactions of the Charles S. Peirce Society 21, 407-418.
    • (1985) Transactions of the Charles S. Peirce Society , vol.21 , pp. 407-418
    • Ketner, K.L.1
  • 15
    • 53149142427 scopus 로고    scopus 로고
    • Peirce's theoremic/corollarial distinction and the interconnections between mathematics and logic
    • N. Houser & D. D. Roberts, & J. van Evra (Eds.) Bloomington and Indianapolis: Indiana University Press
    • Levy, S. H. (1997). Peirce's Theoremic/Corollarial Distinction and the Interconnections Between Mathematics and Logic. In N. Houser & D. D. Roberts, & J. van Evra (Eds.), Studies in the Logic of Cliarles Sanders Peirce. Bloomington and Indianapolis: Indiana University Press, 85-110.
    • (1997) Studies in the Logic of Cliarles Sanders Peirce , pp. 85-110
    • Levy, S.H.1
  • 16
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    • Analysis and synthesis in mathematics from the perspective of charles S. Peirce's philosophy
    • M. Otte, & M. Panza (Eds.) Dordrecht, Boston, London: Kluwer
    • Otte, M. (1997). Analysis and Synthesis in Mathematics from the Perspective of Charles S. Peirce's Philosophy. In M. Otte, & M. Panza (Eds.), Analysis and synthesis in mathematics. History and philosophy. Dordrecht, Boston, London: Kluwer, 327-364.
    • (1997) Analysis and Synthesis in Mathematics. History and Philosophy , pp. 327-364
    • Otte, M.1
  • 18
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    • (1893-1913). Bloomington and Indianapolis 1992 + 1998: Indiana University Press
    • Peirce. (EP). The essential Peirce. Selected philosophical writings. Vol. 1 (1867-1893), Vol. 2 (1893-1913). Bloomington and Indianapolis 1992 + 1998: Indiana University Press.
    • (1867) The Essential Peirce. Selected Philosophical Writings , vol.1-2
    • Peirce, E.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.