{"title":"Marco Panza","description":null,"products":[{"product_id":"mathematical-and-philosophical-legacy-of-alexander-grothendieck-book-marco-panza-9783031689338","title":"The Mathematical and Philosophical Legacy of Alexander Grothendieck","description":"\u003cp\u003eAlexander Grothendieck is often considered one of the greatest mathematicians of the twentieth century (if not all time), and his unique vision continues to impact and inspire many fields and researchers today. Utilizing a multidisciplinary approach, this edited volume explores the profound influence his work and ideas have had not only on mathematics, but also on logic and philosophy. Chapters are written by international scholars, and many were inspired by talks given at the conference “Grothendieck, A Multifarious Giant” at Chapman University (May 24-28, 2022). Some chapters are written from a historical perspective and discuss the development of the main themes that characterized Grothendieck's work. Others are more mathematical in nature, analyzing and extending some of his more relevant and obscure results that are still not well understood. Philosophical implications and applications in logic are the subjects of other chapters. This volume will be of interest not only to mathematicians working in algebraic geometry, category theory, and other areas to which Grothendieck contributed, but also to philosophers, logicians, and historians of science.\u003c\/p\u003e","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51680343982353,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51680344211729,"sku":"NIN9783031689338","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ GARDNERS","offer_id":52153254084881,"sku":"NGR9783031689338","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/303168933X.jpg?v=1789050161"},{"product_id":"three-infinities-in-mathematics-book-marco-panza-9783032002761","title":"Three Infinities in Mathematics","description":"\u003cp\u003eThis book is intended as conceptual introduction to three mathematical theories arising from the attempt to understand (actual) infinity. Though the treatment does not avoid technical aspects, it tries to explain their origins and purposes. The book is divided into three parts, each composed of two chapters and a few appendices. Each part presents in detail one of three moments in which mathematicians made a concerted effort to control the idea of infinity: Projective Geometry, Infinitesimal Calculus, and Set Theory. The text includes exercises and philosophical and\/or historical remarks. It is written both for non-mathematicians interested in understanding the most relevant ideas that govern these theories, and for professional mathematicians interested in exploring the possibility of a conceptually-engaged presentation of mathematical contents. The book can be used for advanced undergraduate students, as well as for beginning graduate students.\u003c\/p\u003e","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52565405401361,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":52565405794577,"sku":"NGR9783032002761","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783032002761.jpg?v=1769680659"},{"product_id":"reals-by-abstraction-an-inquiry-about-epistemic-economy-in-mathematics-volume-i-book-marco-panza-9783032001467","title":"Reals by Abstraction. An Inquiry about Epistemic Economy in Mathematics: Volume I","description":"\u003cp\u003eThis first of a two-volume book discusses the process of conceptual recasting of mathematical contents under a new and more convenient form, complying with the ideal of epistemic economy (expressing the same content by appealing to fewer or minimal conceptual resources). It accounts for this ideal and discusses its philosophical significance, also in opposition to the most frequently considered ideal of ontological parsimony, in the context of an original approach to mathematical knowledge. If it is admitted that mathematical objects have no external existence, the former ideal is much more sensible and more plausible to be pursued, despite lacking any clear and specifically dedicated account. To illustrate it, this first volume considers many examples of second-order definitions of natural numbers, by comparing Peano Arithmetic with Frege one, and showing the greater epistemic economy of the latter over the former. This ensures the book is of interest to scholars and students in the philosophy of mathematics and logic.\u003c\/p\u003e","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":53265038147857,"sku":"NGR9783032001467","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783032001467.jpg?v=1786962380"},{"product_id":"reals-by-abstraction-an-inquiry-about-epistemic-economy-in-mathematics-volume-ii-book-marco-panza-9783032004307","title":"Reals by Abstraction. 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This ensures the book is of interest to scholars and students in the philosophy of mathematics and logic.\u003c\/p\u003e","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":53265040638225,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":53265041096977,"sku":"NGR9783032004307","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783032004307.jpg?v=1786614324"}],"url":"https:\/\/www.worldofbooks.com\/collections\/author-books-by-marco-panza.oembed","provider":"World of Books ","version":"1.0","type":"link"}