Description
Rules to Infinity defends the thesis that mathematics contributes to the explanatory power of science by expressing conceptual rules that allow for the transformation of empirical descriptions. It claims that mathematics should not be thought of as describing, in any substantive sense, an abstract realm of eternal mathematical objects, as traditional Platonists have thought.
Table of Contents
PrefaceChapter 1. Introduction: Scientific Explanation, Mathematics, and Metaontology Chapter 2. Distinctively Mathematical ExplanationChapter 3. Renormalization Group Explanation Chapter 4. The Narrow Ontic Counterfactual AccountChapter 5. Deflating the Narrow Ontic Counterfactual Account Chapter 6. Semantics, Metasemantics, and Function Chapter 7. The Content of a Mathematical Model Chapter 8. Normativism and its Rivals Chapter 9. Conclusion ReferencesIndex
