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Vorlesungen Uber Die Algebra Der Logik Ii 1
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Book Synopsis Algebraic Methods of Mathematical Logic by : Ladislav Rieger
Download or read book Algebraic Methods of Mathematical Logic written by Ladislav Rieger and published by Elsevier. This book was released on 2014-05-12 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic Methods of Mathematical Logic focuses on the algebraic methods of mathematical logic, including Boolean algebra, mathematical language, and arithmetization. The book first offers information on the dialectic of the relation between mathematical and metamathematical aspects; metamathematico-mathematical parallelism and its natural limits; practical applications of methods of mathematical logic; and principal mathematical tools of mathematical logic. The text then elaborates on the language of mathematics and its symbolization and recursive construction of the relation of consequence. Discussions focus on recursive construction of the relation of consequence, fundamental descriptively-semantic rules, mathematical logic and mathematical language as a material system of signs, and the substance and purpose of symbolization of mathematical language. The publication examines expressive possibilities of symbolization; intuitive and mathematical notions of an idealized axiomatic mathematical theory; and the algebraic theory of elementary predicate logic. Topics include the notion of Boolean algebra based on joins, meets, and complementation, logical frame of a language and mathematical theory, and arithmetization and algebraization. The manuscript is a valuable reference for mathematicians and researchers interested in the algebraic methods of mathematical logic.
Book Synopsis Mathematics and the Historian's Craft by : Michael Kinyon
Download or read book Mathematics and the Historian's Craft written by Michael Kinyon and published by Springer Science & Business Media. This book was released on 2006-06-18 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Kenneth May Lectures have never before been published in book form Important contributions to the history of mathematics by well-known historians of science Should appeal to a wide audience due to its subject area and accessibility
Book Synopsis Aristotle's Syllogism and the Creation of Modern Logic by : Lukas M. Verburgt
Download or read book Aristotle's Syllogism and the Creation of Modern Logic written by Lukas M. Verburgt and published by Bloomsbury Publishing. This book was released on 2023-01-26 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Essays on Husserl's Logic and Philosophy of Mathematics by : Stefania Centrone
Download or read book Essays on Husserl's Logic and Philosophy of Mathematics written by Stefania Centrone and published by Springer. This book was released on 2017-09-07 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essays on Husserl’s Logic and Philosophy of Mathematics sets out to fill up a lacuna in the present research on Husserl by presenting a precise account of Husserl’s work in the field of logic, of the philosophy of logic and of the philosophy of mathematics. The aim is to provide an in-depth reconstruction and analysis of the discussion between Husserl and his most important interlocutors, and to clarify pivotal ideas of Husserl’s by considering their reception and elaboration by some of his disciples and followers, such as Oskar Becker and Jacob Klein, as well as their influence on some of the most significant logicians and mathematicians of the past century, such as Luitzen E. J. Brouwer, Rudolf Carnap, Kurt Gödel and Hermann Weyl. Most of the papers consider Husserl and another scholar – e.g. Leibniz, Kant, Bolzano, Brentano, Cantor, Frege – and trace out and contextualize lines of influence, points of contact, and points of disagreement. Each essay is written by an expert of the field, and the volume includes contributions both from the analytical tradition and from the phenomenological one.
Book Synopsis A Precis of Mathematical Logic by : J.M. Bochenski
Download or read book A Precis of Mathematical Logic written by J.M. Bochenski and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work of which this is an English translation appeared originally in French as Precis de logique mathematique. In 1954 Dr. Albert Menne brought out a revised and somewhat enlarged edition in German (Grund riss der Logistik, F. Schoningh, Paderborn). In making my translation I have used both editions. For the most part I have followed the original French edition, since I thought there was some advantage in keeping the work as short as possible. However, I have included the more extensive historical notes of Dr. Menne, his bibliography, and the two sections on modal logic and the syntactical categories (§ 25 and 27), which were not in the original. I have endeavored to correct the typo graphical errors that appeared in the original editions and have made a few additions to the bibliography. In making the translation I have profited more than words can tell from the ever-generous help of Fr. Bochenski while he was teaching at the University of Notre Dame during 1955-56. OTTO BIRD Notre Dame, 1959 I GENERAL PRINCIPLES § O. INTRODUCTION 0. 1. Notion and history. Mathematical logic, also called 'logistic', ·symbolic logic', the 'algebra of logic', and, more recently, simply 'formal logic', is the set of logical theories elaborated in the course of the last century with the aid of an artificial notation and a rigorously deductive method.
Book Synopsis Ernst Schröder on Algebra and Logic by : Stephen Pollard
Download or read book Ernst Schröder on Algebra and Logic written by Stephen Pollard and published by Springer Nature. This book was released on 2022-07-27 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers English translations of three early works by Ernst Schröder (1841-1902), a mathematician and logician whose philosophical ruminations and pathbreaking contributions to algebraic logic attracted the admiration and ire of figures such as Dedekind, Frege, Husserl, and C. S. Peirce. Today he still engages the sympathetic interest of logicians and philosophers. The works translated record Schröder’s journey out of algebra into algebraic logic and document his transformation of George Boole’s opaque and unwieldy logical calculus into what we now recognize as Boolean algebra. Readers interested in algebraic logic and abstract algebra can look forward to a tour of the early history of those fields with a guide who was exceptionally thorough, unfailingly honest, and deeply reflective.
Book Synopsis The Birth of Model Theory by : Calixto Badesa
Download or read book The Birth of Model Theory written by Calixto Badesa and published by Princeton University Press. This book was released on 2009-01-10 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Löwenheim's theorem reflects a critical point in the history of mathematical logic, for it marks the birth of model theory--that is, the part of logic that concerns the relationship between formal theories and their models. However, while the original proofs of other, comparably significant theorems are well understood, this is not the case with Löwenheim's theorem. For example, the very result that scholars attribute to Löwenheim today is not the one that Skolem--a logician raised in the algebraic tradition, like Löwenheim--appears to have attributed to him. In The Birth of Model Theory, Calixto Badesa provides both the first sustained, book-length analysis of Löwenheim's proof and a detailed description of the theoretical framework--and, in particular, of the algebraic tradition--that made the theorem possible. Badesa's three main conclusions amount to a completely new interpretation of the proof, one that sharply contradicts the core of modern scholarship on the topic. First, Löwenheim did not use an infinitary language to prove his theorem; second, the functional interpretation of Löwenheim's normal form is anachronistic, and inappropriate for reconstructing the proof; and third, Löwenheim did not aim to prove the theorem's weakest version but the stronger version Skolem attributed to him. This book will be of considerable interest to historians of logic, logicians, philosophers of logic, and philosophers of mathematics.
Book Synopsis Peirce and Husserl: Mutual Insights on Logic, Mathematics and Cognition by : Mohammad Shafiei
Download or read book Peirce and Husserl: Mutual Insights on Logic, Mathematics and Cognition written by Mohammad Shafiei and published by Springer Nature. This book was released on 2019-10-05 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume aims to provide the elements for a systematic exploration of certain fundamental notions of Peirce and Husserl in respect with foundations of science by means of drawing a parallelism between their works. Tackling a largely understudied comparison between these two contemporary philosophers, the authors highlight the significant similarities in some of their fundamental ideas. This volume consists of eleven chapters under four parts. The first part concerns methodologies and main principles of the two philosophers. An introductory chapter outlines central historical and systematical themes arising out of the recent scholarship on Peirce and Husserl. The second part is on logic, its Chapters dedicated to the topics from Peirce’s Existential Graphs and the philosophy of notation to Husserl’s notions of pure logic and transcendental logic. The third part includes contributions on philosophy of mathematics. Chapters in the final part deal with the theory of cognition, consciousness and intentionality. The closing chapter provides an extended glossary of central terms of Peirce’s theory of phaneroscopy, explaining them from the viewpoint of the theory of cognition.
Book Synopsis Philosophie und Logik by : Werner Stelzner
Download or read book Philosophie und Logik written by Werner Stelzner and published by Walter de Gruyter. This book was released on 1993 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Sotheran's Price Current of Literature by :
Download or read book Sotheran's Price Current of Literature written by and published by . This book was released on 1905 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bibliography of Philosophy, Psychology, and Cognate Subjects by :
Download or read book Bibliography of Philosophy, Psychology, and Cognate Subjects written by and published by . This book was released on 1905 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Guillermo E. Rosado Haddock Publisher :Walter de Gruyter GmbH & Co KG ISBN 13 :3110494183 Total Pages :310 pages Book Rating :4.1/5 (14 download)
Book Synopsis Husserl and Analytic Philosophy by : Guillermo E. Rosado Haddock
Download or read book Husserl and Analytic Philosophy written by Guillermo E. Rosado Haddock and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-10-24 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contributes to the refutation of the separation of philosophy in the 20th century into analytic and continental. It is shown that Edmund Husserl was seriously concerned with issues of so-called analytic philosophy, that there are strict parallelisms between Husserl’s treatment of philosophical subjects and those of authors in the analytic tradition, and that Husserl had a strong influence on Rudolf Carnap’s ‘Aufbau’.
Book Synopsis Against the Current by : Guillermo E. Rosado Haddock
Download or read book Against the Current written by Guillermo E. Rosado Haddock and published by Walter de Gruyter. This book was released on 2013-05-02 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present collection of seventeen papers, most of them already published in international philosophical journals, deals both with issues in the philosophy of logic, the philosophy of mathematics, the philosophy of language and epistemology. The first part contains critical assessments and somewhat deviant renderings of the work of two seminal philosophers, Frege and Husserl, as well as of the young Carnap and Kripke. The second part contains analyses of central issues in the philosophy of logic, the philosophy of mathematics and semantics, including arguments on behalf of Platonism in the philosophy of mathematics, a defense of second-order logic, a new definition of analyticity, a sketch of a semantics for mathematical statements and a critique of Kripke’s possible world semantics for modal logic.
Book Synopsis The Sociology of Philosophical Knowledge by : Maren Kusch
Download or read book The Sociology of Philosophical Knowledge written by Maren Kusch and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together a number of authors that see themselves as contribu tors to, or critical commentators on, a new field that has recently emerged within the sociology of knowledge. This new field is 'the Sociology of Philosophical Knowledge' (SPK). Studying philosophers and their knowledge from broadly sociological or political perspectives is not, of course, a recent phenomenon. Marxist writers have used such perspectives throughout the twentieth century, and, since the sixties, feminist authors have also occasionally engaged in sociological analysis of philosophers' texts. What distinguishes SPK from these sociologies is that SPK is not engaged in a political struggle; indeed, SPK remains, in general, neutral with respect to the truth or falsity of the doctrines it studies. In doing so, SPK follows the 'strong programme' in the sociology of scientific knowledge. In 'Wittgenstein as a Conservative Thinker', David Bloor draws on the work of the sociologist Karl Mannheim in order to situate Wittgenstein's philosophy. Mannheim distinguished between two important styles of thought in the nine teenth century. The first, the 'natural law' ideology was associated with ideas of the Enlightenment and the French Revolution. It emphasized individualism, progress, and universal reason. The second style of thought was 'conservatism'.
Book Synopsis From Peirce to Skolem by : Geraldine Brady
Download or read book From Peirce to Skolem written by Geraldine Brady and published by Elsevier. This book was released on 2000-11-22 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an account of the important influence on the development of mathematical logic of Charles S. Peirce and his student O.H. Mitchell, through the work of Ernst Schröder, Leopold Löwenheim, and Thoralf Skolem. As far as we know, this book is the first work delineating this line of influence on modern mathematical logic.
Book Synopsis Author Finding List for Seminary Libraries. 1911 by : Princeton University. Library
Download or read book Author Finding List for Seminary Libraries. 1911 written by Princeton University. Library and published by . This book was released on 1911 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Phenomenological Critique of Mathematisation and the Question of Responsibility by : Ľubica Učník
Download or read book The Phenomenological Critique of Mathematisation and the Question of Responsibility written by Ľubica Učník and published by Springer. This book was released on 2014-11-19 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited collection discusses phenomenological critiques of formalism and their relevance to the problem of responsibility and the life-world. The book deals with themes of formalization of knowledge in connection to the life-world, the natural world, the history of science and our responsibility for both our epistemic claims and the world in which we live. Readers will discover critiques of formalization, the life-world and responsibility, and a collation and comparison of Patočka’s and Husserl’s work on these themes. Considerable literature on Husserl is presented here and the two themes of epistemic responsibility and the life-world are discussed together. This work specifically emphasizes the interrelatedness of these existential aspects of his work – self-responsibility and the crisis – as not only epistemological, but also related to human life. This volume also introduces Jan Patočka to English-speaking readers as a phenomenologist in his own right. Patočka shows us, in particular, the significance of the modern abyss between our thinking and the world. Readers will discover that this abyss is of concern for our everyday experience because it leads to a rupture in our understanding of the world: between the world of our living and its scientific construct. We see that Patočka continually emphasized the relevance of Husserl’s work to existential questions relating to human responsibility and the life-world, which he admits is left largely implicit in Husserl’s work. This edited collection will spark discussion on the question of responsibility against the backdrop of formalized knowledge which is increasingly inaccessible to human understanding. Despite the complexity of some of the analyzed ideas, this book discusses these themes in a clear and readable way. This work is scholarly, exact in its discussion and authoritative in its reading, but at the same time accessible to anyone motivated to understand these debates.
