Herbert Breger - Böcker
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3 produkter
3 produkter
2 310 kr
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Inspired by Hilbert, Wittgenstein, Cavailles and Lakatos, this work aims to reconfigure contemporary philosophy of mathematics by making the growth of knowledge rather than its foundations central to the study of mathematical rationality, and by analyzing the notion of growth in historical as well as logical terms. It is organized in dialogical forms, with each philosophical thesis answered by one or more historical case studies designed to support, complicate or question it. The first part of the book examines the role of scientific theory and empirical fact in the growth of mathematical knowledge. The second examines the role of abstraction, analysis and axiomatization. The third raises the question of whether the growth of mathematical knowledge constitutes progress, and how progress may be understood.
Kontinuum, Analysis, Informales – Beiträge zur Mathematik und Philosophie von Leibniz
Herausgegeben von W. Li
Häftad, Tyska, 2016
354 kr
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Dieser Band führt 16 Aufsätze von Herbert Breger zusammen, die um Leibniz‘ Arbeiten zur Mathematik und Physik und ihre philosophischen Voraussetzungen kreisen.
2 320 kr
Skickas inom 10-15 vardagar
This book draws its inspiration from Hilbert, Wittgenstein, Cavailles and Lakatos and is designed to reconfigure contemporary philosophy of mathematics by making the growth of knowledge rather than its foundations central to the study of mathematical rationality, and by analyzing the notion of growth in historical as well as logical terms. Not a mere compendium of opinions, it is organised in dialogical forms, with each philosophical thesis answered by one or more historical case studies designed to support, complicate or question it. The first part of the book examines the role of scientific theory and empirical fact in the growth of mathematical knowledge. The second examines the role of abstraction, analysis and axiomatization. The third raises the question of whether the growth of mathematical knowledge constitutes progress, and how progress may be understood. Readership: Students and scholars concerned with the history and philosophy of mathematics and the formal sciences.