{"product_id":"rules-to-infinity-the-normative-role-of-mathematics-in-scientific-explanation-hardcover","title":"Rules to Infinity: The Normative Role of Mathematics in Scientific Explanation - Hardcover","description":"\u003cp\u003eby \u003cb\u003eMark Povich\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003cem\u003eThis is an open access title available under the terms of a CC BY-NC-ND 4.0 International licence. It is free to read on the Oxford Academic platform and offered as a free PDF download from OUP and selected open access locations.\u003c\/em\u003e \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eOne of the central aims of science is to provide explanations of natural phenomena. What role does mathematics play in achieving this aim? How does mathematics contribute to the explanatory power of science? \u003cem\u003eRules to Infinity\u003c\/em\u003e 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. \u003cp\u003e\u003c\/p\u003eThis view, which Mark Povich calls \"mathematical normativism,\" is updated with contemporary philosophical tools, which are used to form the argument that normativism is compatible with mainstream semantic theory. This allows the normativist to accept that there are mathematical truths, while resisting the Platonistic idea that there exist abstract mathematical objects that explain such truths. There is a distinction between scientific explanations that are in some sense distinctively mathematical--those that explain natural phenomena in some uniquely mathematical way--and those that are only standardly mathematical, and Povich defends a particular account of this distinction. \u003cp\u003e\u003c\/p\u003e\u003cem\u003eRules to Infinity\u003c\/em\u003e compares normativism to other prominent views in the philosophy of mathematics, such as neo-Fregeanism, fictionalism, conventionalism, and structuralism, and offers an entry point into debates at the forefront of philosophy of science and mathematics as it defends its novel positions.\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 304\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.07 x 9.34 x 6.61 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 27, 2024\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":45602625060908,"sku":"9780197679005","price":169.29,"currency_code":"USD","in_stock":false}],"url":"https:\/\/smartsupplydeals.com\/products\/rules-to-infinity-the-normative-role-of-mathematics-in-scientific-explanation-hardcover","provider":"Smart supply deals","version":"1.0","type":"link"}