{"product_id":"philosophy-of-mathematics-and-mathematical-practice-in-the-seventeenth-century-9780195132441","title":"Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century","description":"\u003cp\u003eThe seventeenth century saw dramatic advances in mathematical theory and practice than any era before or since. With the recovery of many of the classical Greek mathematical texts  new techniques were introduced  and within 100 years  analytic geometry  the geometry of indivisibles  the arithmetic of infinites  and the calculus had been developed. Although many technical studies have been devoted to these innovations  Paolo Mancosu provides the first comprehensive account of the relationship between mathematical advances of the seventeenth century and the philosophy of mathematics of the period. Beginning with the Renaissance debates on the certainty of mathematics  Mancosu leads the reader through the foundational issues raised by the emergence of these new mathematical techniques  including the influence of the Aristotelian conception of science in Cavalieri and Guldin  the foundational relevance of Descartes Geometrie  the relationship between empiricist epistemology and infinitistic theorems in geometry  and the debates concerning the foundations of the Leibnizian calculus In the process Mancosu draws a sophisticated picture of the subtle dependencies between technical development and philosophical reflection in seventeenth century mathematics.\u003c\/p\u003e","brand":"My Store","offers":[{"title":"Default Title","offer_id":45648208166965,"sku":"ByrdShop_0195132440","price":36.97,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0627\/8139\/0901\/files\/9780195132441.jpg?v=1781712661","url":"https:\/\/atxbooks.com\/products\/philosophy-of-mathematics-and-mathematical-practice-in-the-seventeenth-century-9780195132441","provider":"ATX Books","version":"1.0","type":"link"}