Origins And Varieties Of Logicism
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Origins And Varieties Of Logicism
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Author : Francesca Boccuni
language : en
Publisher: Taylor & Francis
Release Date : 2021-11-29
Origins And Varieties Of Logicism written by Francesca Boccuni and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-29 with Mathematics categories.
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.
Principia Mathematica
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Author : Alfred North Whitehead
language : en
Publisher: Cambridge University Press
Release Date : 1927
Principia Mathematica written by Alfred North Whitehead and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1927 with Mathematics categories.
The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.
Aristotle S Syllogism And The Creation Of Modern Logic
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Author : Lukas M. Verburgt
language : en
Publisher: Bloomsbury Publishing
Release Date : 2023-01-26
Aristotle S Syllogism And The Creation Of Modern Logic written by Lukas M. Verburgt and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-26 with Philosophy categories.
Offering a bold new vision on the history of modern logic, Lukas M. Verburgt and Matteo Cosci focus on the lasting impact of Aristotle's syllogism between the 1820s and 1930s. For over two millennia, deductive logic was the syllogism and syllogism was the yardstick of sound human reasoning. During the 19th century, this hegemony fell apart and logicians, including Boole, Frege and Peirce, took deductive logic far beyond its Aristotelian borders. However, contrary to common wisdom, reflections on syllogism were also instrumental to the creation of new logical developments, such as first-order logic and early set theory. This volume presents the period under discussion as one of both tradition and innovation, both continuity and discontinuity. Modern logic broke away from the syllogistic tradition, but without Aristotle's syllogism, modern logic would not have been born. A vital follow up to The Aftermath of Syllogism, this book traces the longue durée history of syllogism from Richard Whately's revival of formal logic in the 1820s through the work of David Hilbert and the Göttingen school up to the 1930s. Bringing together a group of major international experts, it sheds crucial new light on the emergence of modern logic and the roots of analytic philosophy in the 19th and early 20th centuries.
Logicism Intuitionism And Formalism
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Author : Sten Lindström
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-11-25
Logicism Intuitionism And Formalism written by Sten Lindström and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-25 with Mathematics categories.
This anthology reviews the programmes in the foundations of mathematics from the classical period and assesses their possible relevance for contemporary philosophy of mathematics. A special section is concerned with constructive mathematics.
The Routledge Handbook Of Logical Empiricism
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Author : Thomas Uebel
language : en
Publisher: Taylor & Francis
Release Date : 2021-12-27
The Routledge Handbook Of Logical Empiricism written by Thomas Uebel and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-27 with Philosophy categories.
Logical empiricism is a philosophical movement that flourished in the 1920s and 30s in Central Europe and in the 1940s and 50s in the United States. With its stated ambition to comprehend the revolutionary advances in the empirical and formal sciences of their day and to confront anti-modernist challenges to scientific reason itself, logical empiricism was never uncontroversial. Uniting key thinkers who often disagreed with one another but shared the aim to conceive of philosophy as part of the scientific enterprise, it left a rich and varied legacy that has only begun to be explored relatively recently. The Routledge Handbook of Logical Empiricism is an outstanding reference source to this challenging subject area, and the first collection of its kind. Comprising 41 chapters written by an international and interdisciplinary team of contributors, the Handbook is organized into four clear parts: The Cultural, Scientific and Philosophical Context and the Development of Logical Empiricism Characteristic Theses of and Specific Issues in Logical Empiricism Relations to Philosophical Contemporaries Leading Post-Positivist Criticisms and Legacy Essential reading for students and researchers in the history of twentieth-century philosophy, especially the history of analytical philosophy and the history of philosophy of science, the Handbook will also be of interest to those working in related areas of philosophy influenced by this important movement, including metaphysics and epistemology, philosophy of mind and philosophy of language.
Logic Epistemology And Scientific Theories From Peano To The Vienna Circle
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Author : Paola Cantù
language : en
Publisher: Springer Nature
Release Date : 2024-01-03
Logic Epistemology And Scientific Theories From Peano To The Vienna Circle written by Paola Cantù and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-03 with Science categories.
This book provides a collection of chapters on the development of scientific philosophy and symbolic logic in the early twentieth century. The turn of the last century was a key transitional period for the development of symbolic logic and scientific philosophy. The Peano school, the editorial board of the Revue de Métaphysique et de Morale, and the members of the Vienna Circle are generally mentioned as champions of this transformation of the role of logic in mathematics and in the sciences. The scholarship contained provides a rich historical and philosophical understanding of these groups and research areas. Specifically, the contributions focus on a detailed investigation of the relation between structuralism and modern mathematics. In addition, this book provides a closer understanding of the relation between symbolic logic and previous traditions such as syllogistics. This volume also informs the reader on the relation between logic, the history and didactics in the Peano School. This edition appeals to students and researchers working in the history of philosophy and of logic, philosophy of science, as well as to researchers on the Vienna Circle and the Peano School.
The Oxford Handbook Of The History Of Analytic Philosophy
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Author : Michael Beaney
language : en
Publisher: OUP Oxford
Release Date : 2013-06-20
The Oxford Handbook Of The History Of Analytic Philosophy written by Michael Beaney and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-20 with Philosophy categories.
During the course of the twentieth century, analytic philosophy developed into the dominant philosophical tradition in the English-speaking world. In the last two decades, it has become increasingly influential in the rest of the world, from continental Europe to Latin America and Asia. At the same time there has been deepening interest in the origins and history of analytic philosophy, as analytic philosophers examine the foundations of their tradition and question many of the assumptions of their predecessors. This has led to greater historical self-consciousness among analytic philosophers and more scholarly work on the historical contexts in which analytic philosophy developed. This historical turn in analytic philosophy has been gathering pace since the 1990s, and the present volume is the most comprehensive collection of essays to date on the history of analytic philosophy. It contains state-of-the-art contributions from many of the leading scholars in the field, all of the contributions specially commissioned. The introductory essays discuss the nature and historiography of analytic philosophy, accompanied by a detailed chronology and bibliography. Part One elucidates the origins of analytic philosophy, with special emphasis on the work of Frege, Russell, Moore, and Wittgenstein. Part Two explains the development of analytic philosophy, from Oxford realism and logical positivism to the most recent work in analytic philosophy, and includes essays on ethics, aesthetics, and political philosophy as well as on the areas usually seen as central to analytic philosophy, such as philosophy of language and mind. Part Three explores certain key themes in the history of analytic philosophy.
The New Encyclopaedia Britannica Propaedia
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Author :
language : en
Publisher:
Release Date : 1997
The New Encyclopaedia Britannica Propaedia written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Encyclopedias and dictionaries categories.
Phenomenology Logic And The Philosophy Of Mathematics
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Author : Richard L. Tieszen
language : en
Publisher: Cambridge University Press
Release Date : 2005-06-06
Phenomenology Logic And The Philosophy Of Mathematics written by Richard L. Tieszen and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-06 with Mathematics categories.
In this 2005 book, logic, mathematical knowledge and objects are explored alongside reason and intuition in the exact sciences.
V A Yankov On Non Classical Logics History And Philosophy Of Mathematics
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Author : Alex Citkin
language : en
Publisher: Springer Nature
Release Date : 2022-11-08
V A Yankov On Non Classical Logics History And Philosophy Of Mathematics written by Alex Citkin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-08 with Mathematics categories.
This book is dedicated to V.A. Yankov’s seminal contributions to the theory of propositional logics. His papers, published in the 1960s, are highly cited even today. The Yankov characteristic formulas have become a very useful tool in propositional, modal and algebraic logic. The papers contributed to this book provide the new results on different generalizations and applications of characteristic formulas in propositional, modal and algebraic logics. In particular, an exposition of Yankov’s results and their applications in algebraic logic, the theory of admissible rules and refutation systems is included in the book. In addition, the reader can find the studies on splitting and join-splitting in intermediate propositional logics that are based on Yankov-type formulas which are closely related to canonical formulas, and the study of properties of predicate extensions of non-classical propositional logics. The book also contains an exposition of Yankov’s revolutionary approach to constructive proof theory. The editors also include Yankov’s contributions to history and philosophy of mathematics and foundations of mathematics, as well as an examination of his original interpretation of history of Greek philosophy and mathematics.