id author title date pages extension mime words sentences flesch summary cache txt work_dl7w5ygjdnevtmrrd73xgd5n7q S. Bangu Indispensability and Explanation 2012 23 .pdf application/pdf 11264 951 65 convincing examples can be found, in which, as Melia insisted, the best explanation of a physical phenomenon features mathematics in an essential way. A recent collection of interesting mathematical explanations is in Colyvan explanation in the first place) can have any explanatory relevance for an explanandum that is in fact non-mathematical, that is, free of any traces of The realist is entitled to claim that the mathematized version of the explanation is superior, hence she is in the possession of difficulty noticing that, for example, crate x1 contains more bananas than As a referee pointed out, can't the nominalists express the content (for example, 5 bananas in x1, On playing Game*, the players notice, again, that one of the crates wins The crucial point is that the result in the first Game (one crate winning nominalistic explanation of the result that one crate wins overwhelmingly [2009]: 'Mathematical Explanations and Indispensability ./cache/work_dl7w5ygjdnevtmrrd73xgd5n7q.pdf ./txt/work_dl7w5ygjdnevtmrrd73xgd5n7q.txt