Fahmi, Marco (2008) MATHEMATICAL MODELS IN SCIENCE: A DEBATE ABOUT ONTOLOGY. In:  Models and Simulations 2 (Tilburg, NL).
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Some philosophers of mathematics argue that the role of mathematical models in science is merely representational: when scientists use mathematical models they only believe that they are adequate representations of the physical phenomenon under investigation. Others disagree with this view and argue that mathematical models also serve as genuine explanations in science. Consequently, the application of mathematical models in science cannot be treated instrumentally and we ought to be realists about mathematics. I advance two reasons to reject realist conclusion: genuine mathematical explanations are indistinguishable from spurious ones. And, for mathematical models to be explanatory, they have to be “bottom-level”; I deny that we can know which explanations (if any) are bottom level in science. I contend that what plays the explanatory role is the impure function that links physical structures to mathematical structures.
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|Item Type:||Conference or Workshop Item (UNSPECIFIED)|
|Additional Information:||Final version submitted for publication|
|Keywords:||Mathematical realism, Indispensability argument, Mathematical models|
|Subjects:||Specific Sciences > Mathematics|
|Conferences and Volumes:|| Models and Simulations 2 (Tilburg, NL)|
|Depositing User:||Marco Fahmi|
|Date Deposited:||28 Feb 2008|
|Last Modified:||07 Oct 2010 11:16|
Available Versions of this Item
- The Ontological Commitments of Mathematical Models. (deposited 08 Oct 2007)
- MATHEMATICAL MODELS IN SCIENCE: A DEBATE ABOUT ONTOLOGY. (deposited 28 Feb 2008)[Currently Displayed]
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