Origins and Varieties of Logicism: On the Logico-Philosophical Foundations of Mathematics (Routledge Studies in the Philosophy of Mathematics and Physics)

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Synopsis
This book offers a plurality of perspectives on the historical origins of logicism and on contemporary developments of logicist insights in philosophy of mathematics. It uniquely provides up-to-date research and novel interpretations on a variety of intertwined themes and historical figures related to different versions of logicism.The essays, written by prominent scholars, are divided into three thematic sections. Part I focuses on major authors like Frege, Dedekind, and Russell, providing a historical and theoretical exploration of such figures in the philosophical and mathematical milieu in which logicist views were first expounded. Part II sheds new light on the interconnections between these founding figures and a number of influential other traditions, represented by authors like Hilbert, Husserl, and Peano, as well as on the reconsideration of logicism by Carnap and the logical empiricists. Finally, Part III assesses the legacy of such authors and of logicist themes for contemporary philosophy of mathematics, offering new perspectives on highly debated topics—neo-logicism and its extension to accounts of ordinal numbers and set-theory, the comparison between neo-Fregean and neo-Dedekindian varieties of logicism, and the relation between logicist foundational issues and empirical research on numerical cognition—which define the prospects of logicism in the years to come.This book offers a comprehensive account of the development of logicism and its contemporary relevance for the logico-philosophical foundations of mathematics. It will be of interest to graduate students and researchers working in philosophy of mathematics, philosophy of logic, and the history of analytic philosophy.
Copyright:
2022

Book Details

Book Quality:
Publisher Quality
Book Size:
406 Pages
ISBN-13:
9781000508123
Related ISBNs:
9780367230050, 9780429277894, 9781032159102
Publisher:
Taylor and Francis
Date of Addition:
Copyrighted By:
Taylor & Francis. The right of Francesca Boccuni and Andrea Sereni to be identified as the authors of the editorial material, and of the authors for their individual chapters, has been asserted in accordance with sections
Adult content:
No
Language:
English
Has Image Descriptions:
No
Categories:
History, Nonfiction, Mathematics and Statistics, Philosophy
Submitted By:
Bookshare Staff
Usage Restrictions:
This is a copyrighted book.
Edited by:
Francesca Boccuni
Edited by:
Andrea Sereni

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