Certainty and Domain-Independence in the Sciences of Complexity: a Critique of James Franklin's Account of Formal Science
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
James Franklin has argued that the formal, mathematical sciences of complexity — network theory, information theory, game theory, control theory, etc. — have a methodology that is different from the methodology of the natural sciences, and which can result in a knowledge of physical systems that has the epistemic character of deductive mathematical knowledge. I evaluate Franklin’s arguments in light of realistic examples of mathematical modelling and conclude that, in general, the formal sciences are no more able to guarantee certainty than the natural sciences. Yet the formal sciences are characterized by a ‘domain-independence’ that is philosophically interesting, and I argue that it is this property that Franklin actually employs to distinguish the formal from the natural sciences. I use Einstein’s ‘principle’/‘constructive’ theory distinction to contrast the domain-independence of physical theories with the domain-independence of formal mathematical theories, and show how both kinds of domain-independence function to generate the domain-independence that is observed in the complex systems sciences. © 1999 Elsevier Science Ltd. All rights reserved.
|Keywords||No keywords specified (fix it)|
No categories specified
(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
No citations found.
Similar books and articles
James Franklin (1999). Structure and Domain-Independence in the Formal Sciences. Studies in History and Philosophy of Science 30:721-723.
Kevin de Laplante, Response to Franklin's Comments on 'Certainty and Domain-Independence in the Sciences of Complexity'.
James Franklin (1994). The Formal Sciences Discover the Philosophers' Stone. Studies in History and Philosophy of Science 25 (4):513-533.
Franklin M. Fisher (1960). On the Analysis of History and the Interdependence of the Social Sciences. Philosophy of Science 27 (2):147-158.
Dr Claus Brillowski, From Domains Towards a Logic of Universals: A Small Calculus for the Continuous Determination of Worlds.
Emily Grosholz (1992). Objects and Structures in the Formal Sciences. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1992:251 - 260.
Leon Horsten & Igor Douven (2008). Formal Methods in the Philosophy of Science. Studia Logica 89 (2):151 - 162.
Bipin Indurkhya (1986). Constrained Semantic Transference: A Formal Theory of Metaphors. Synthese 68 (3):515 - 551.
Carlos Eduardo Maldonado & Universidad Rosario Business School Submittedelr, In Which Sense Can We Talk About a Dialogue Between the Sciences? An Essay Concerning the New Sciences of Complexity.
Jamie Tappenden (2000). Frege on Axioms, Indirect Proof, and Independence Arguments in Geometry: Did Frege Reject Independence Arguments? Notre Dame Journal of Formal Logic 41 (3):271-315.
Not By Me (1992). Mathematics in the Biological Sciences. International Studies in the Philosophy of Science 6 (3):241 – 248.
Added to index2010-12-22
Total downloads6 ( #189,939 of 1,096,339 )
Recent downloads (6 months)2 ( #130,630 of 1,096,339 )
How can I increase my downloads?