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Origins and Varieties of Logicism - On the Logico-Philosophical Foundations of Mathematics (Hardcover)
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Origins and Varieties of Logicism - On the Logico-Philosophical Foundations of Mathematics (Hardcover)
Series: Routledge Studies in the Philosophy of Mathematics and Physics
Expected to ship within 12 - 17 working days
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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.
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