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The Essence of Numbers
Frédéric Patras (Taschenbuch, Englisch)
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Beschreibung
This book considers the manifold possible approaches, past and present, to our understanding of the natural numbers. They are treated as epistemic objects: mathematical objects that have been subject to epistemological inquiry and attention throughout their history and whose conception has evolved accordingly. Although they are the simplest and most common mathematical objects, as this book… reveals, they have a very complex nature whose study illuminates subtle features of the functioning of our thought. Using jointly history, mathematics and philosophy to grasp the essence of numbers, the reader is led through their various interpretations, presenting the ways they have been involved in major theoretical projects from Thales onward. Some pertain primarily to philosophy (as in the works of Plato, Aristotle, Kant, Wittgenstein...), others to general mathematics (Euclid's Elements , Cartesian algebraic geometry, Cantorian infinities, set theory...). Also serving as an introduction to the works and thought of major mathematicians and philosophers, from Plato and Aristotle to Cantor, Dedekind, Frege, Husserl and Weyl, this book will be of interest to a wide variety of readers, from scholars with a general interest in the philosophy or mathematics to philosophers and mathematicians themselves. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Bis zu 50 % günstiger als neu
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Technische Daten
Erscheinungsdatum
07.10.2020
Sprache
Englisch
EAN
9783030566999
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
History of Mathematics Subseries
Sonderedition
Nein
Autor
Frédéric Patras
Seitenanzahl
176
Auflage
1st edition 2020
Einbandart
Taschenbuch
Schlagwörter
Aristotle, Concept of Number, Georg Cantor, Gottlob Frege, Historical Epistemology, Mathematical Logic in Philosophy, Numbers, Phenomenology, Philosophy of Arithmetic, Plato, Set Theory, Third Man Argument
Thema-Inhalt
PBX - Geschichte der Mathematik
PBB - Philosophie der Mathematik
PDA - Wissenschaftsphilosophie und -theorie
JBCC9 - Ideengeschichte, Geistesgeschichte
QDTL - Philosophie: Logik
PBCD - Mathematik: Logik
QDHR5 - Phänomenologie und Existenzphilosophie
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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