Origins and Varieties of Logicism: On the Logico-Philosophical Foundations of Mathematics

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Francesca Boccuni (Università Vita-Salute San Raffaele, Italy) Andrea Sereni (Institute for Advanced Study, IUSS Pavia, Italy)

Origins and Varieties of Logicism

On the Logico-Philosophical Foundations of Mathematics

Francesca Boccuni (Università Vita-Salute San Raffaele, Italy), Andrea Sereni (Institute for Advanced Study, IUSS Pavia, Italy)

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English

Routledge
27 May 2024

Philosophy; Philosophy: logic; History of ideas; Philosophy of mathematics

Series: Routledge Studies in the Philosophy of Mathematics and Physics

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.

Edited by: Francesca Boccuni (Università Vita-Salute San Raffaele Italy), Andrea Sereni (Institute for Advanced Study, IUSS Pavia, Italy)
Imprint: Routledge
Country of Publication: United Kingdom
Dimensions: Height: 229mm, Width: 152mm,
Weight: 620g
ISBN: 9781032159102
ISBN 10: 1032159103
Series: Routledge Studies in the Philosophy of Mathematics and Physics
Pages: 406
Publication Date: 27 May 2024
Audience: College/higher education , Primary
Format: Paperback
Publisher's Status: Active

Francesca Boccuni is Associate Professor at Vita-Salute San Raffaele University, Milan. She published articles in scientific journals and collected volumes, edited collections in the philosophy of mathematics and logic. Andrea Sereni is Associate Professor at the School for Advanced Studies IUSS Pavia. He has published essays and books, as well as edited special issues and collections in the epistemology and philosophy of mathematics and logic.

Reviews for Origins and Varieties of Logicism: On the Logico-Philosophical Foundations of Mathematics

"""This volume promises to expand the discussion of logicism both historically and theoretically. It proposes an original and overdue re-examination of logicism and its import in the philosophy of mathematics."" – Pieranna Garavaso, University of Minnesota Morris, USA"