David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Topoi 29 (1):77-86 (2010)
This paper explores Simon Stevin’s l’Arithmétique of 1585, where we find a novel understanding of the concept of number. I will discuss the dynamics between his practice and philosophy of mathematics, and put it in the context of his general epistemological attitude. Subsequently, I will take a close look at his justificational concerns, and at how these are reflected in his inductive, a postiori and structuralist approach to investigating the numerical field. I will argue that Stevin’s renewed conceptualisation of the notion of number is a sort of “existential closure” of the numerical domain, founded upon the practice of his predecessors and contemporaries. Accordingly, I want to make clear that l’Aritmetique have to be read not as an ontological analysis or exploration of the numerical field, but as an explication of a mathematical ethos. In this sense, this article also intends to make a specific contribution to the broader issue of the “ethics of geometry.”.
|Keywords||Simon Stevin Number Ethos of geometry Existential closure Mathematical knowing|
|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
Giovanna Cifoletti (2006). From Valla to Viète: The Rhetorical Reform of Logic and its Use in Early Modern Algebra. Early Science and Medicine 11 (4):390-423.
Stuart Clark (2007). Vanities of the Eye: Vision in Early Modern European Culture. Oxford University Press.
Brian P. Copenhaver (1992). Renaissance Philosophy. Oxford University Press.
Albrecht Heeffer (2008). The Emergence of Symbolic Algebra as a Shift in Predominant Models. Foundations of Science 13 (2):149--161.
Lisa Jardine (1988). Humanistic Logic. In Charles B. Schmitt, Quentin Skinner & Eckhard Kessler (eds.), The Cambridge History of Renaissance Philosophy. Cambridge University Press. 173--98.
Citations of this work BETA
Helen De Cruz & Johan De Smedt (2013). Mathematical Symbols as Epistemic Actions. Synthese 190 (1):3-19.
Piotr Błaszczyk, Mikhail G. Katz & David Sherry (2013). Ten Misconceptions From the History of Analysis and Their Debunking. Foundations of Science 18 (1):43-74.
Similar books and articles
Gabriel Chindea (2007). Le nombre est-il une réalité parfaitement intelligible? Une analyse de l'intelligibilité du nombre chez Plotin. Chôra 5:97-109.
Robert Batterman (1992). Quantum Chaos and Semiclassical Mechanics. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1992:50 - 65.
Sent E.-M. (2001). Sent Simulating Simon Simulating Scientists. Studies in History and Philosophy of Science Part A 32 (3):479-500.
Byeong-Uk Yi Glaister (1998). Numbers and Relations. Erkenntnis 49 (1):93-113.
Byeong-Uk Yi (1998). Numbers and Relations. Erkenntnis 49 (1):93 - 113.
Stephen Downes (1990). Herbert Simon's Computational Models of Scientific Discovery. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1990:97 - 108.
P. X. Monaghan (2010). A Novel Interpretation of Plato's Theory of Forms. Metaphysica 11 (1):63-78.
Karin Katz & Mikhail Katz (2012). Stevin Numbers and Reality. Foundations of Science 17 (2):109-123.
Added to index2010-01-23
Total downloads24 ( #85,274 of 1,692,194 )
Recent downloads (6 months)2 ( #111,548 of 1,692,194 )
How can I increase my downloads?