David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
Jack Alan Reynolds
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Philosophy of Science 54 (2):194-221 (1987)
This paper utilizes Scott domains (continuous lattices) to provide a mathematical model for the use of idealized and approximately true data in the testing of scientific theories. Key episodes from the history of science can be understood in terms of this model as attempts to demonstrate that theories are monotonic, that is, yield better predictions when fed better or more realistic data. However, as we show, monotonicity and truth of theories are independent notions. A formal description is given of the pragmatic virtues of theories which are monotonic. We also introduce the stronger concept of continuity and show how it relates to the finite nature of scientific computations. Finally, we show that the space of theories also has the structure of a Scott domain. This result provides an analysis of how one theory can be said to approximate another
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Robert Kowalenko (2009). How (Not) to Think About Idealisation and Ceteris Paribus -Laws. Synthese 167 (1):183 - 201.
Robert Kowalenko (2009). How to Think About Idealisation and Ceteris Paribus-Laws. Synthese 167 (1):183-201.
Ronald Laymon (1989). Applying Idealized Scientific Theories to Engineering. Synthese 81 (3):353 - 371.
Ronald Laymon (1995). Experimentation and the Legitimacy of Idealization. Philosophical Studies 77 (2-3):353 - 375.
Ronald Laymon (1994). Demonstrative Induction, Old and New Evidence and the Accuracy of the Electrostatic Inverse Square Law. Synthese 99 (1):23 - 58.
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