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The Algebra of Logic
The Algebra of Logic by Louis Couturat: In this influential work, Louis Couturat presents a comprehensive study of the algebraic foundations of logic. Couturat's rigorous exploration of symbolic logic and its mathematical principles was groundbreaking in the field of philosophy and logic. "The Algebra of Logic" remains an essential text for anyone interested in the philosophical and mathematical underpinnings of logical reasoning. Key Aspects of the Book "The Algebra of Logic": Symbolic Logic: Couturat's book introduces readers to the principles and applications of symbolic logic, emphasizing its formal and mathematical aspects. Logical Notation: The work explores various logical notations a...
Writing the History of the Mind
For much of the twentieth century, French intellectual life was dominated by theoreticians and historians of mentalité. Traditionally, the study of the mind and of its limits and capabilities was the domain of philosophy, however in the first decades of the twentieth century practitioners of the emergent human and social sciences were increasingly competing with philosophers in this field: ethnologists, sociologists, psychologists and historians of science were all claiming to study 'how people think'. Scholars, including Gaston Bachelard, Georges Canguilhem, Léon Brunschvicg, Lucien Lévy-Bruhl, Lucien Febvre, Abel Rey, Alexandre Koyré and Hélène Metzger were all investigating the mind...
New Essays on Leibniz Reception
This book is a collection of essays on the reception of Leibniz’s thinking in the sciences and in the philosophy of science in the 19th and 20th centuries. Authors studied include C.F. Gauss, Georg Cantor, Kurd Lasswitz, Bertrand Russell, Ernst Cassirer, Louis Couturat, Hans Reichenbach, Hermann Weyl, Kurt Gödel and Gregory Chaitin. In addition, we consider concepts and problems central to Leibniz’s thought and that of the later authors: the continuum, space, identity, number, the infinite and the infinitely small, the projects of a universal language, a calculus of logic, a mathesis universalis etc. The book brings together two fields of research in the history of philosophy and of science (research on Leibniz, and the research concerned with some major developments in the 19th and 20th centuries); it describes how Leibniz’s thought appears in the works of these authors, in order to better understand Leibniz’s influence on contemporary science and philosophy; but it also assesses that reception critically, confronting it in particular with the current state of Leibniz research and with the various editions of his work.
Logic in Question
This contributed volume collects papers related to the Logic in Question workshop, which has taken place annually at Sorbonne University in Paris since 2011. Each year, the workshop brings together historians, philosophers, mathematicians, linguists, and computer scientists to explore questions related to the nature of logic and how it has developed over the years. As a result, chapter authors provide a thorough, interdisciplinary exploration of topics that have been studied in the workshop. Organized into three sections, the first part of the book focuses on historical questions related to logic, the second explores philosophical questions, and the third section is dedicated to mathematical...
Information Beyond Borders
The period in Europe known as the Belle Epoque was a time of vibrant and unsettling modernization in social and political organization, in artistic and literary life, and in the conduct and discoveries of the sciences. These trends, and the emphasis on internationalization that characterized them, necessitated the development of new structures and processes for discovering, disseminating, manipulating and managing access to information. This book analyses the dynamics of the emerging networks of individuals, organizations, technologies and publications by which means information was exchanged across and through all kinds of borders and boundaries in this period. It extends the frame within w...
Cambridge and Vienna
The Institute Vienna Circle held a conference in Vienna in 2003, Cambridge and Vienna – Frank P. Ramsey and the Vienna Circle, to commemorate the philosophical and scientific work of Frank Plumpton Ramsey (1903–1930). This Ramsey conference provided not only historical and biographical perspectives on one of the most gifted thinkers of the Twentieth Century, but also new impulses for further research on at least some of the topics pioneered by Ramsey, whose interest and potential are greater than ever. Ramsey did pioneering work in several fields, practitioners of which rarely know of his important work in other fields: philosophy of logic and theory of language, foundations of mathemati...
The Metaphysics of Gottlob Frege
Die Sprachen sind nicht nach dem logischen Lineal gemacht. (Briefwechsel, p. 102) If success in solving problems is the hallmark of philosophical great ness, then Frege was not a great philosopher. But by that same token, very few if any other figure in the history of philosophy will qualify. On the other hand, if the hallmark of philosophical great ness is the opening up of new conceptual territory and the raising of hitherto unsuspected crucial questions, the shifting of philosophical perspectiv~ and the determination of subsequent lines of enquiry, then Frege must rank among the greatest philosophers of all times. He was the first to develop a completely formalized language and a logical system sufficiently powerful to generate arithmetic; he opened up the fields of philosophy of logic and arithmetic; his theses on sense reference and definition were seminal to almost all subse quent work done in the philosophy oflanguage; and his ontological speculations constituted the foundation of one of the most profound metaphysics ever developed: that of Ludwig Wittgenstein in the Tractatus.
Information Beyond Borders
The period in Europe known as the Belle Epoque was a time of vibrant and unsettling modernization in social and political organization, in artistic and literary life, and in the conduct and discoveries of the sciences. These trends, and the emphasis on internationalization that characterized them, necessitated the development of new structures and processes for discovering, disseminating, manipulating and managing access to information. This book analyses the dynamics of the emerging networks of individuals, organizations, technologies and publications by which means information was exchanged across and through all kinds of borders and boundaries in this period. It extends the frame within w...
The Science of the Individual: Leibniz's Ontology of Individual Substance
In his well-known Discourse on Metaphysics, Leibniz puts individual substance at the basis of metaphysical building. In so doing, he connects himself to a venerable tradition. His theory of individual concept, however, breaks with another idea of the same tradition, that no account of the individual as such can be given. Contrary to what has been commonly accepted, Leibniz’s intuitions are not the mere result of the transcription of subject-predicate logic, nor of the uncritical persistence of some old metaphysical assumptions. They grow, instead, from an unprejudiced inquiry about our basic ontological framework, where logic of truth, linguistic analysis, and phenomenological experience o...
Foundations of Logic, 1903-05
This volume covers the period from the beginning of Whitehead and Russell's work on Volume 2 of the Principles of Mathematics to the critical discovery of the theory of descriptions in 1905. Contains many previously unpublished manuscripts.
