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Paperback or Softback. Condizione: New. Elements of Purity. Book.
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Paperback. Condizione: new. Paperback. A proof of a theorem can be said to be pure if it draws only on what is 'close' or 'intrinsic' to that theorem. In this Element we will investigate the apparent preference for pure proofs that has persisted in mathematics since antiquity, alongside a competing preference for impurity. In Section 1, we present two examples of purity, from geometry and number theory. In Section 2, we give a brief history of purity in mathematics. In Section 3, we discuss several different types of purity, based on different measures of distance between theorem and proof. In Section 4 we discuss reasons for preferring pure proofs, for the varieties of purity constraints presented in Section 3. In Section 5 we conclude by reflecting briefly on purity as a preference for the local and how issues of translation intersect with the considerations we have raised throughout this work. This Element explores the preference for pure proofs in mathematics since antiquity, focusing on geometry and number theory. It discusses different types of purity, reasons for preferring pure proofs, and the importance of local purity. It also touches on translation issues and the relationship between purity and local considerations. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Aggiungi al carrelloPaperback. Condizione: New. A proof of a theorem can be said to be pure if it draws only on what is 'close' or 'intrinsic' to that theorem. In this Element we will investigate the apparent preference for pure proofs that has persisted in mathematics since antiquity, alongside a competing preference for impurity. In Section 1, we present two examples of purity, from geometry and number theory. In Section 2, we give a brief history of purity in mathematics. In Section 3, we discuss several different types of purity, based on different measures of distance between theorem and proof. In Section 4 we discuss reasons for preferring pure proofs, for the varieties of purity constraints presented in Section 3. In Section 5 we conclude by reflecting briefly on purity as a preference for the local and how issues of translation intersect with the considerations we have raised throughout this work.
Lingua: Inglese
Editore: Environmental Systems Research Institute Inc.,U.S., 2003
ISBN 10: 158948018X ISBN 13: 9781589480186
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Aggiungi al carrelloPaperback. Condizione: Used; Very Good. ***Simply Brit*** Welcome to our online used book store, where affordability meets great quality. Dive into a world of captivating reads without breaking the bank. We take pride in offering a wide selection of used books, from classics to hidden gems, ensuring there is something for every literary palate. All orders are shipped within 24 hours and our lightning fast-delivery within 48 hours coupled with our prompt customer service ensures a smooth journey from ordering to delivery. Discover the joy of reading with us, your trusted source for affordable books that do not compromise on quality.
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Aggiungi al carrelloPaperback. Condizione: Brand New. 84 pages. 6.00x0.18x9.00 inches. In Stock.
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Aggiungi al carrelloCondizione: As New. Unread book in perfect condition.
Lingua: Francese
Editore: Librairie Philosophique J. Vrin, 2024
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Paperback. Condizione: new. Paperback. Le philosophe americain Michael Detlefsen (1948-2019) a developpe une reflexion profonde sur les rapports entre philosophie et mathematiques, en particulier chez des mathematiciens comme Dedekind, Hilbert, Poincare ou Brouwer. Titulaire d'une chaire d'excellence en France de 2007 a 2011, il y a mene un grand programme d'etude des " ideaux de preuves ", c'est-a-dire des differentes valeurs a l'uvre dans l'appreciation des preuves mathematiques. Ce fut l'occasion pour lui de nouer des liens durables avec la communaute francaise de philosophie des mathematiques, dans laquelle il joua un role structurant. Ce volume, le premier d'un recueil de ses principaux articles, temoigne de cette influence. Il offre au lecteur francais la possibilite d'acceder a une oeuvre importante de la philosophie contemporaine des mathematiques. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Aggiungi al carrelloPaperback. Condizione: new. Paperback. A proof of a theorem can be said to be pure if it draws only on what is 'close' or 'intrinsic' to that theorem. In this Element we will investigate the apparent preference for pure proofs that has persisted in mathematics since antiquity, alongside a competing preference for impurity. In Section 1, we present two examples of purity, from geometry and number theory. In Section 2, we give a brief history of purity in mathematics. In Section 3, we discuss several different types of purity, based on different measures of distance between theorem and proof. In Section 4 we discuss reasons for preferring pure proofs, for the varieties of purity constraints presented in Section 3. In Section 5 we conclude by reflecting briefly on purity as a preference for the local and how issues of translation intersect with the considerations we have raised throughout this work. This Element explores the preference for pure proofs in mathematics since antiquity, focusing on geometry and number theory. It discusses different types of purity, reasons for preferring pure proofs, and the importance of local purity. It also touches on translation issues and the relationship between purity and local considerations. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
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ISBN 10: 1009539701 ISBN 13: 9781009539708
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Aggiungi al carrelloHardback. Condizione: New. A proof of a theorem can be said to be pure if it draws only on what is 'close' or 'intrinsic' to that theorem. In this Element we will investigate the apparent preference for pure proofs that has persisted in mathematics since antiquity, alongside a competing preference for impurity. In Section 1, we present two examples of purity, from geometry and number theory. In Section 2, we give a brief history of purity in mathematics. In Section 3, we discuss several different types of purity, based on different measures of distance between theorem and proof. In Section 4 we discuss reasons for preferring pure proofs, for the varieties of purity constraints presented in Section 3. In Section 5 we conclude by reflecting briefly on purity as a preference for the local and how issues of translation intersect with the considerations we have raised throughout this work.
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Aggiungi al carrelloTaschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - A proof of a theorem can be said to be pure if it draws only on what is 'close' or 'intrinsic' to that theorem. In this Element we will investigate the apparent preference for pure proofs that has persisted in mathematics since antiquity, alongside a competing preference for impurity. In Section 1, we present two examples of purity, from geometry and number theory. In Section 2, we give a brief history of purity in mathematics. In Section 3, we discuss several different types of purity, based on different measures of distance between theorem and proof. In Section 4 we discuss reasons for preferring pure proofs, for the varieties of purity constraints presented in Section 3. In Section 5 we conclude by reflecting briefly on purity as a preference for the local and how issues of translation intersect with the considerations we have raised throughout this work.
Lingua: Inglese
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ISBN 10: 1009055895 ISBN 13: 9781009055895
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Aggiungi al carrelloPaperback. Condizione: New. A proof of a theorem can be said to be pure if it draws only on what is 'close' or 'intrinsic' to that theorem. In this Element we will investigate the apparent preference for pure proofs that has persisted in mathematics since antiquity, alongside a competing preference for impurity. In Section 1, we present two examples of purity, from geometry and number theory. In Section 2, we give a brief history of purity in mathematics. In Section 3, we discuss several different types of purity, based on different measures of distance between theorem and proof. In Section 4 we discuss reasons for preferring pure proofs, for the varieties of purity constraints presented in Section 3. In Section 5 we conclude by reflecting briefly on purity as a preference for the local and how issues of translation intersect with the considerations we have raised throughout this work.
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Aggiungi al carrelloHardcover. Condizione: Brand New. 84 pages. 6.00x0.25x9.00 inches. In Stock.
Lingua: Inglese
Editore: Cambridge University Press, 2025
ISBN 10: 1009539701 ISBN 13: 9781009539708
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Da: Okmhistoire, St Rémy-des-Monts, SARTH, Francia
Prima edizione
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Aggiungi al carrelloCouverture souple. Condizione: Comme neuf. Edition originale. Paris 2022. 1 Volume/1. -- Comme Neuf -- Broché collé. Couverture illustrée . Format in-8°( 24 x 16 cm )( 820 gr ). ------ .519. pages . **************************** 4ème de Couverture :"" Le second volume de ce Précis, auquel ont contribué vingt chercheurs, comble une lacune éditoriale dans la philosophie contemporaine francophone. Après une présentation exhaustive de la philosophie des mathématiques de l'Antiquité au XXe siècle, l'ouvrage traite de plusieurs questions cruciales : la confrontation de la théorie des ensembles et de la théorie des catégories comme cadre fondationnel pour les mathématiques, le constructivisme mathématique, l'analyse de la calculabilité et le dilemme de Benacerraf. Ce volume interroge également la philosophie de la pratique mathématique à travers les notions d'idéaux de preuve (en particulier l'explicativité et la pureté) et de preuves informelles, et l'usage d'artefacts visuels dans l'argumentation. Enfin, il explore l'applicabilité des mathématiques et le rôle de la probabilité. Il s'adresse à la fois aux philosophes et aux étudiants de philosophie intéressés par les mathématiques, et aux mathématiciens et scientifiques qui souhaitent porter un regard philosophique sur leur discipline. Le premier volume, consacré à la philosophie de la logique, est dirigé par Francesca Poggiolesi et Pierre Wagner. Le projet commun est d'offrir une introduction riche, pédagogique et claire aux principaux débats contemporains de philosophie des mathématiques et de la logique. Ont contribué à ce volume : Andrew Arana, Mark van Atten, Hourya Benis-Sinaceur, Mirna D amonja, Maria Carla Galavotti, Sébastien Gandon, Guido Gherardi, Valeria Giardino, Yacin Hamami, Gerhard Heinzmann, Sébastien Maronne, Jean-Pierre Marquis, Daniele Molinini, Marco Panza, Fabrice Pataut, Frédéric Patras, Maël Pégny, David Rabouin, Andrea Sereni et Jean-Jacques Szczeciniarz. "" ***************************** ref 256.
Lingua: Inglese
Editore: Cambridge University Press, Cambridge, 2025
ISBN 10: 1009539701 ISBN 13: 9781009539708
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Aggiungi al carrelloHardcover. Condizione: new. Hardcover. A proof of a theorem can be said to be pure if it draws only on what is 'close' or 'intrinsic' to that theorem. In this Element we will investigate the apparent preference for pure proofs that has persisted in mathematics since antiquity, alongside a competing preference for impurity. In Section 1, we present two examples of purity, from geometry and number theory. In Section 2, we give a brief history of purity in mathematics. In Section 3, we discuss several different types of purity, based on different measures of distance between theorem and proof. In Section 4 we discuss reasons for preferring pure proofs, for the varieties of purity constraints presented in Section 3. In Section 5 we conclude by reflecting briefly on purity as a preference for the local and how issues of translation intersect with the considerations we have raised throughout this work. This Element explores the preference for pure proofs in mathematics since antiquity, focusing on geometry and number theory. It discusses different types of purity, reasons for preferring pure proofs, and the importance of local purity. It also touches on translation issues and the relationship between purity and local considerations. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.