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On The Role Of Mathematics In Scientific Representation, Saad Anis
Electronic Thesis and Dissertation Repository
In this dissertation, I consider from a philosophical perspective three related questions concerning the contribution of mathematics to scientific representation. In answering these questions, I propose and defend Carnapian frameworks for examination into the nature and role of mathematics in science.
The first research question concerns the varied ways in which mathematics contributes to scientific representation. In response, I consider in Chapter 2 two recent philosophical proposals claiming to account for the explanatory role of mathematics in science, by Philip Kitcher, and Otavio Bueno and Mark Colyvan. My novel and detailed critique of these accounts shows that they are too ...