David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Studies in History and Philosophy of Science Part A 32 (3):535-555 (2001)
Leibnizian-Newtonian calculus was a theory that dealt with geometrical objects; the figure continued to play one of the fundamental roles it had played in Greek geometry: it susbstituted a part of reasoning. During the eighteenth century a process of de-geometrization of calculus took place, which consisted in the rejection of the use of diagrams and in considering calculus as an 'intellectual' system where deduction was merely linguistic and mediated. This was achieved by interpreting variables as universal quantities and introducing the notion of function (in the eighteenth-century meaning of the term), which replaced the study of curves. However, the emancipation of calculus from its basis in geometry was not comprehensive. In fact, the geometrical properties of curves were attributed de facto to functions and thus eighteenth-century calculus continued implicitly to use principles borrowed from geometry. There was therefore no transition to a purely syntactical theory based on axiomatically introduced terms, a shift which only took place subsequently in modern times.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Robert Michael Brain (2008). The Pulse of Modernism: Experimental Physiology and Aesthetic Avant-Gardes Circa 1900. Studies in History and Philosophy of Science Part A 39 (3):393-417.
Similar books and articles
Sara Negri (2002). Varieties of Linear Calculi. Journal of Philosophical Logic 31 (6):569-590.
John L. Bell, Two Approaches to Modelling the Universe: Synthetic Differential Geometry and Frame-Valued Sets.
Edward N. Zalta (1997). The Modal Object Calculus and its Interpretation. In M. de Rijke (ed.), Advances in Intensional Logic. Kluwer. 249--279.
Norman Daniels (1972). Thomas Reid's Discovery of a Non-Euclidean Geometry. Philosophy of Science 39 (2):219-234.
René David & Walter Py (2001). -Calculus and Böhm's Theorem. Journal of Symbolic Logic 66 (1):407-413.
E. -W. Stachow (1976). Completeness of Quantum Logic. Journal of Philosophical Logic 5 (2):237 - 280.
Ruggero Pagnan (2012). A Diagrammatic Calculus of Syllogisms. Journal of Logic, Language and Information 21 (3):347-364.
Roger D. Maddux (1991). The Origin of Relation Algebras in the Development and Axiomatization of the Calculus of Relations. Studia Logica 50 (3-4):421 - 455.
Sorry, there are not enough data points to plot this chart.
Added to index2009-01-28
Total downloads1 ( #599,983 of 1,696,615 )
Recent downloads (6 months)1 ( #346,146 of 1,696,615 )
How can I increase my downloads?