Synthese 186 (1):257-288 (2012)
|Abstract||Diagrams have played an important role throughout the entire history of differential equations. Geometrical intuition, visual thinking, experimentation on diagrams, conceptions of algorithms and instruments to construct these diagrams, heuristic proofs based on diagrams, have interacted with the development of analytical abstract theories. We aim to analyze these interactions during the two centuries the classical theory of differential equations was developed. They are intimately connected to the difficulties faced in defining what the solution of a differential equation is and in describing the global behavior of such a solution.|
|Keywords||No keywords specified (fix it)|
|Categories||No categories specified (fix it)|
|Through your library||Configure|
Similar books and articles
Brice Halimi (2012). Diagrams as Sketches. Synthese 186 (1):387-409.
Mark Wilson (1990). Law Along the Frontier: Differential Equations and Their Boundary Conditions. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1990:565 - 575.
M. Arrigoni & A. Steiner (1983). Square-Root Models for the Volterra Equations and the Explicit Solution of These Models. Acta Biotheoretica 32 (2).
James R. Griesemer (1991). Must Scientific Diagrams Be Eliminable? The Case of Path Analysis. Biology and Philosophy 6 (2):155-180.
Sun-Joo Shin (1994). Peirce and the Logical Status of Diagrams. History and Philosophy of Logic 15 (1):45-68.
Peter Spirtes, Thomas Richardson, Chris Meek & Richard Scheines, Using Path Diagrams as a Structural Equation Modelling Tool.
W. M. Goodwin (2008). Structural Formulas and Explanation in Organic Chemistry. Foundations of Chemistry 10 (2).
Eric Hammer & Norman Danner (1996). Towards a Model Theory of Diagrams. Journal of Philosophical Logic 25 (5):463 - 482.
Michael Lynch (1991). Science in the Age of Mechanical Reproduction: Moral and Epistemic Relations Between Diagrams and Photographs. Biology and Philosophy 6 (2):205-226.
Scott F. Gilbert (1991). Epigenetic Landscaping: Waddington's Use of Cell Fate Bifurcation Diagrams. Biology and Philosophy 6 (2):135-154.
Ari Gross (2012). Pictures and Pedagogy: The Role of Diagrams in Feynman's Early Lectures. Studies in History and Philosophy of Science Part B 43 (3):184-194.
Added to index2012-02-10
Total downloads8 ( #122,917 of 548,973 )
Recent downloads (6 months)1 ( #63,511 of 548,973 )
How can I increase my downloads?