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Volumn 29, Issue 1, 2010, Pages 77-86

How to define a number? A general epistemological account of Simon Stevin's art of defining

Author keywords

Ethos of geometry; Existential closure; Mathematical knowing; Number; Simon Stevin

Indexed keywords


EID: 77949500488     PISSN: 01677411     EISSN: 15728749     Source Type: Journal    
DOI: 10.1007/s11245-009-9068-1     Document Type: Article
Times cited : (4)

References (41)
  • 2
    • 0040274943 scopus 로고
    • Dickoff J, James P (trans.), New York: The Bobbs-Merrill Company, Inc (original: 1662)
    • Arnauld A (1964) Dickoff J, James P (trans.) The art of thinking: port royal logic, New York: The Bobbs-Merrill Company, Inc (original: 1662).
    • (1964) The Art of Thinking: Port Royal Logic
    • Arnauld, A.1
  • 6
    • 77949533495 scopus 로고    scopus 로고
    • From valla to Viète: The rhetorical reform of logic and its use in early modern algebra
    • Cifoletti GC (2006) From valla to Viète: the rhetorical reform of logic and its use in early modern algebra. Early Sci Med 11: 390-423.
    • (2006) Early Sci Med , vol.11 , pp. 390-423
    • Cifoletti, G.C.1
  • 9
    • 77949502871 scopus 로고
    • The elements
    • 2nd edn. Dover Publications Inc., New York (revised with additions)
    • Euclid (1956) The elements. In: Heath T (ed) The thirteen books of the elements, 2nd edn. Dover Publications Inc., New York (revised with additions).
    • (1956) The Thirteen Books of the Elements
    • Euclid1
  • 11
    • 48949116049 scopus 로고    scopus 로고
    • The emergence of symbolic algebra as a shift in predominant models
    • Heeffer A (2008a) The emergence of symbolic algebra as a shift in predominant models. Found Sci 13: 149-161.
    • (2008) Found Sci , vol.13 , pp. 149-161
    • Heeffer, A.1
  • 14
    • 0039065513 scopus 로고
    • Humanistic logic
    • C. B. Schmitt and Q. Skinner (Eds.), Cambridge: Cambridge University Press
    • Jardine L (1988) Humanistic logic. In: Schmitt CB, Skinner Q (eds) The Cambridge history of renaissance philosophy. Cambridge University Press, Cambridge, pp 173-198.
    • (1988) The Cambridge History of Renaissance Philosophy , pp. 173-198
    • Jardine, L.1
  • 15
    • 0002031441 scopus 로고
    • Democratizing access to calculus: New routes to old roots
    • A. H. Schoenfeld (Ed.), Hillsdale: Lawrence Erlbaum Associates Inc. Publishers
    • Kaput JJ (1994) Democratizing access to calculus: new routes to old roots. In: Schoenfeld AH (ed) Mathematical thinking and problem solving. Lawrence Erlbaum Associates Inc. Publishers, Hillsdale, pp 77-156.
    • (1994) Mathematical Thinking and Problem Solving , pp. 77-156
    • Kaput, J.J.1
  • 18
    • 33144474270 scopus 로고    scopus 로고
    • Renaissance notions of number and magnitude
    • Malet A (2005) Renaissance notions of number and magnitude. Hist Math 33: 63-81.
    • (2005) Hist Math , vol.33 , pp. 63-81
    • Malet, A.1
  • 19
    • 52549128367 scopus 로고
    • Domain extension and the philosophy of mathematics
    • Manders K (1989) Domain extension and the philosophy of mathematics. J Philos 86: 553-562.
    • (1989) J Philos , vol.86 , pp. 553-562
    • Manders, K.1
  • 20
    • 77949518191 scopus 로고    scopus 로고
    • Ramus en tijdgenoten: De humanistische receptie van de retorica
    • Meerhoff CG (2001) Ramus en tijdgenoten: de humanistische receptie van de retorica. Lampas 34: 351-372.
    • (2001) Lampas , vol.34 , pp. 351-372
    • Meerhoff, C.G.1
  • 21
    • 70349395707 scopus 로고    scopus 로고
    • Imagination and mathematics in Proclus
    • Nikulin D (2008) Imagination and mathematics in Proclus. Anc Philos 28: 153-172.
    • (2008) Anc Philos , vol.28 , pp. 153-172
    • Nikulin, D.1
  • 23
    • 0346342781 scopus 로고    scopus 로고
    • Symbolic mathematics and the intellect militant: On modern philosophy's revolutionary spirit
    • Page C (1996) Symbolic mathematics and the intellect militant: on modern philosophy's revolutionary spirit. J Hist Ideas 57: 233-253.
    • (1996) J Hist Ideas , vol.57 , pp. 233-253
    • Page, C.1
  • 24
    • 77949511342 scopus 로고    scopus 로고
    • Ramus and other renaissance philosophers of subjectivity
    • Pozzo R (2003) Ramus and other renaissance philosophers of subjectivity. Topoi 22: 5-13.
    • (2003) Topoi , vol.22 , pp. 5-13
    • Pozzo, R.1
  • 25
    • 84957028998 scopus 로고
    • P. Ramus and M. Dassonville (Eds.), Geneve: Droz
    • Ramus P, Dassonville M (eds) (1964) Dialectique (1555). Droz, Geneve.
    • (1964) Dialectique (1555)
  • 26
    • 33751145707 scopus 로고    scopus 로고
    • Structures and structuralism in contemporary philosophy of mathematics
    • Reack EH, Price MP (2000) Structures and structuralism in contemporary philosophy of mathematics. Synthese 125: 341-383.
    • (2000) Synthese , vol.125 , pp. 341-383
    • Reack, E.H.1    Price, M.P.2
  • 28
    • 31644431825 scopus 로고    scopus 로고
    • From trivium to quadrivium: Ramus, method and mathematical technology
    • N. Rhodes and J. Sawday (Eds.), New York: Routledge
    • Reiss TJ (2000) From trivium to quadrivium: ramus, method and mathematical technology. In: Rhodes N, Sawday J (eds) The renaissance computer: knowledge technology in the first age of print. Routledge, New York, pp 45-58.
    • (2000) The Renaissance Computer: Knowledge Technology in the First Age of Print , pp. 45-58
    • Reiss, T.J.1
  • 29
    • 61449354208 scopus 로고
    • Göteborg: Gothenburg Studies in the History of Science and Ideas I, Acta Universitatis Gothoburgensis
    • Sellberg E (1979) Filosofin och nyttan: I Petrus Ramus och ramismen. Gothenburg Studies in the History of Science and Ideas I, Acta Universitatis Gothoburgensis, Göteborg.
    • (1979) Filosofin Och Nyttan: I Petrus Ramus Och Ramismen
    • Sellberg, E.1
  • 32
    • 77949504101 scopus 로고
    • L'Arithmetiqve de Simon Stevin de Brvges: Contenant les computations des nombres Arithmetiques ou vulgaires: Aussi l'Algebre, auec les equations de cinc quantitez
    • Encore vn liure particulier de la Pratique d' Arithmetique, contenant entre autres, Les Tables d' Interest, La Disme; Et vn traicté des Incommensurables grandeurs: Auec l'Explication du Dixiesme Liure d' Euclide. De l'Imprimerie de Christophle Plantin, A Leyde
    • Stevin S (1585b) L'Arithmetiqve de Simon Stevin de Brvges: Contenant les computations des nombres Arithmetiques ou vulgaires: Aussi l'Algebre, auec les equations de cinc quantitez. Ensemble les quatre premiers liures d'Algebre de Diophante d'Alexandrie, maintenant premierement traduicts en François. Encore vn liure particulier de la Pratique d' Arithmetique, contenant entre autres, Les Tables d' Interest, La Disme; Et vn traicté des Incommensurables grandeurs: Auec l'Explication du Dixiesme Liure d' Euclide. De l'Imprimerie de Christophle Plantin, A Leyde.
    • (1585) Ensemble les quatre premiers liures d'Algebre de Diophante d'Alexandrie, maintenant premierement traduicts en François
    • Stevin, S.1
  • 33
    • 84957000768 scopus 로고
    • Inhoudende t'ghene daer hem in gheoeffent heeft Den Doorluchtichsten Hoochgheboren Vorst ende Heere, Maurits, Prince van Oraengien, Grave van Nassau, Catzenellenbogen, Viand, Moers, etc. Marckgraef vander Vere, ende Vlissinghen etc. Heere der Stadt Grave ende s'landts van Cuyc, St Vyt, Daesburch, etc. Gouverneur van Gelderlant, Hollant, Zeelant, Westfriesland, Zutphen, Utrecht, Overyssel etc. Opperste Veltheer vande vereenichde Nederlanden, Admirael generael vander Zee etc. Beschreven deur Simon Stevin van Brugghe. Tot Leyden, Inde Druckerye van Ian Bovwensz
    • Stevin S (1605-1609) Wisconstige Gedachtenissen, Inhoudende t'ghene daer hem in gheoeffent heeft Den Doorluchtichsten Hoochgheboren Vorst ende Heere, Maurits, Prince van Oraengien, Grave van Nassau, Catzenellenbogen, Viand, Moers, etc. Marckgraef vander Vere, ende Vlissinghen etc. Heere der Stadt Grave ende s'landts van Cuyc, St Vyt, Daesburch, etc. Gouverneur van Gelderlant, Hollant, Zeelant, Westfriesland, Zutphen, Utrecht, Overyssel etc. Opperste Veltheer vande vereenichde Nederlanden, Admirael generael vander Zee etc. Beschreven deur Simon Stevin van Brugghe. Tot Leyden, Inde Druckerye van Ian Bovwensz.
    • (1605) Wisconstige Gedachtenissen
    • Stevin, S.1
  • 37
    • 77949523028 scopus 로고    scopus 로고
    • Simon Stevin: Taalbeschouwer en taalgebruiker
    • Koninklijke Bibliotheekvan België (Ed.), Turnhout: Brepols Publishers
    • van der Wal MJ (2004) Simon Stevin: taalbeschouwer en taalgebruiker. In: van België Koninklijke Bibliotheek (ed) Simon Stevin 1548-1620: de geboorte van de nieuwe wetenschap. Brepols Publishers, Turnhout, pp 171-177.
    • (2004) Simon Stevin 1548-1620: De Geboorte Van De Nieuwe Wetenschap , pp. 171-177
    • van der Wal, M.J.1
  • 38
    • 77949521980 scopus 로고    scopus 로고
    • Humanism, philosophy and the teaching of Euclid at a Northern University
    • Vanden Broekce S (1998) Humanism, philosophy and the teaching of Euclid at a Northern University. Lias 25: 43-68.
    • (1998) Lias , vol.25 , pp. 43-68
    • Vanden Broekce, S.1
  • 39
    • 60949474649 scopus 로고
    • Assen: Van Gorcum & Comp. N.V., Dr. H. J. Prakke & H.M.G. Prakke
    • Verdonk JJ (1966) Petrus Ramus en de wiskunde. van Gorcum & Comp. N. V., Dr. H. J. Prakke & H. M. G. Prakke, Assen.
    • (1966) Petrus Ramus En De Wiskunde
    • Verdonk, J.J.1
  • 40
    • 84989996596 scopus 로고
    • Vom Einfluss des P. de la Ramée auf Simon Stevin
    • Verdonk JJ (1969) Vom Einfluss des P. de la Ramée auf Simon Stevin. Centaurus 13: 251-262.
    • (1969) Centaurus , vol.13 , pp. 251-262
    • Verdonk, J.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.