The Life And Work Of Leon Henkin

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The Life and Work of Leon Henkin

Author : María Manzano,Ildikó Sain,Enrique Alonso
Publisher : Springer
Page : 356 pages
File Size : 41,5 Mb
Release : 2014-10-23
Category : Mathematics
ISBN : 9783319097190

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The Life and Work of Leon Henkin by María Manzano,Ildikó Sain,Enrique Alonso Pdf

This is a comprehensive book on the life and works of Leon Henkin (1921–2006), an extraordinary scientist and excellent teacher whose writings became influential right from the beginning of his career with his doctoral thesis on “The completeness of formal systems” under the direction of Alonzo Church. Upon the invitation of Alfred Tarski, Henkin joined the Group in Logic and the Methodology of Science in the Department of Mathematics at the University of California Berkeley in 1953. He stayed with the group until his retirement in 1991. This edited volume includes both foundational material and a logic perspective. Algebraic logic, model theory, type theory, completeness theorems, philosophical and foundational studies are among the topics covered, as well as mathematical education. The work discusses Henkin’s intellectual development, his relation to his predecessors and contemporaries and his impact on the recent development of mathematical logic. It offers a valuable reference work for researchers and students in the fields of philosophy, mathematics and computer science.

The Road to Universal Logic

Author : Arnold Koslow,Arthur Buchsbaum
Publisher : Birkhäuser
Page : 604 pages
File Size : 52,5 Mb
Release : 2015-06-10
Category : Mathematics
ISBN : 9783319153681

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The Road to Universal Logic by Arnold Koslow,Arthur Buchsbaum Pdf

This second volume of a collection of papers offers new perspectives and challenges in the study of logic. It is presented in honor of the fiftieth birthday of Jean-Yves Béziau. The papers touch upon a wide range of topics including paraconsistent logic, quantum logic, geometry of oppositions, categorical logic, computational logic, fundamental logic notions (identity, rule, quantification) and history of logic (Leibniz, Peirce, Hilbert). The volume gathers personal recollections about Jean-Yves Béziau and an autobiography, followed by 25 papers written by internationally distinguished logicians, mathematicians, computer scientists, linguists and philosophers, including Irving Anellis, Dov Gabbay, Ivor Grattan-Guinness, Istvan Németi, Henri Prade. These essays will be of interest to all students and researchers interested in the nature and future of logic.

Feferman on Foundations

Author : Gerhard Jäger,Wilfried Sieg
Publisher : Springer
Page : 551 pages
File Size : 51,9 Mb
Release : 2018-04-04
Category : Mathematics
ISBN : 9783319633343

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Feferman on Foundations by Gerhard Jäger,Wilfried Sieg Pdf

This volume honours the life and work of Solomon Feferman, one of the most prominent mathematical logicians of the latter half of the 20th century. In the collection of essays presented here, researchers examine Feferman’s work on mathematical as well as specific methodological and philosophical issues that tie into mathematics. Feferman’s work was largely based in mathematical logic (namely model theory, set theory, proof theory and computability theory), but also branched out into methodological and philosophical issues, making it well known beyond the borders of the mathematics community. With regard to methodological issues, Feferman supported concrete projects. On the one hand, these projects calibrate the proof theoretic strength of subsystems of analysis and set theory and provide ways of overcoming the limitations imposed by Gödel’s incompleteness theorems through appropriate conceptual expansions. On the other, they seek to identify novel axiomatic foundations for mathematical practice, truth theories, and category theory. In his philosophical research, Feferman explored questions such as “What is logic?” and proposed particular positions regarding the foundations of mathematics including, for example, his “conceptual structuralism.” The contributing authors of the volume examine all of the above issues. Their papers are accompanied by an autobiography presented by Feferman that reflects on the evolution and intellectual contexts of his work. The contributing authors critically examine Feferman’s work and, in part, actively expand on his concrete mathematical projects. The volume illuminates Feferman’s distinctive work and, in the process, provides an enlightening perspective on the foundations of mathematics and logic.

Science Between Truth and Ethical Responsibility

Author : Mario Alai,Marco Buzzoni,Gino Tarozzi
Publisher : Springer
Page : 337 pages
File Size : 42,8 Mb
Release : 2015-04-30
Category : Science
ISBN : 9783319163697

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Science Between Truth and Ethical Responsibility by Mario Alai,Marco Buzzoni,Gino Tarozzi Pdf

This book offers the most complete and up-to-date overview of the philosophical work of Evandro Agazzi, presently the most important Italian philosopher of science and one of the most influential in the world. Scholars from seven countries explore his contributions in areas ranging from philosophy of physics and general philosophy of science to bioethics, philosophy of mathematics and logic, epistemology of the social sciences and history of science, philosophy of language and artificial intelligence, education and anthropology, metaphysics and philosophy of religion. Agazzi developed a complete and coherent philosophical system, anticipating some of the turns in the philosophy of science after the crisis of logical empiricism and exerting an equal influence on continental hermeneutic philosophy. His work is characterized by an original synthesis of contemporary analytic philosophy, phenomenology and classical philosophy, including the scholastic tradition and these threads are reflected in the different backgrounds of the contributors to this book. While upholding the epistemological value of science against scepticism and relativism, Agazzi eschews scientism by stressing the equal importance of non-scientific forms of thought, such as metaphysics and religion. While defending the freedom of research as a cognitive enterprise, he argues that as a human and social practice it must nonetheless respect ethical constraints.

Logic, Language, Information, and Computation

Author : Rosalie Iemhoff,Michael Moortgat,Ruy de Queiroz
Publisher : Springer
Page : 683 pages
File Size : 48,7 Mb
Release : 2019-06-23
Category : Mathematics
ISBN : 9783662595336

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Logic, Language, Information, and Computation by Rosalie Iemhoff,Michael Moortgat,Ruy de Queiroz Pdf

Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the 26th Workshop on Logic, Language, Information and Communication, WoLLIC 2019, held in Utrecht, The Netherlands, in July 2019. The 41 full papers together with 6 invited lectures presented were fully reviewed and selected from 60 submissions. The idea is to have a forum which is large enough in the number of possible interactions between logic and the sciences related to information and computation, and yet is small enough to allow for concrete and useful interaction among participants.

The Quotable Voltaire

Author : François-Marie Arouet (Voltaire) (1694-1778)
Publisher : Rutgers University Press
Page : 335 pages
File Size : 49,9 Mb
Release : 2021-06-18
Category : Reference
ISBN : 9781684482931

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The Quotable Voltaire by François-Marie Arouet (Voltaire) (1694-1778) Pdf

The author of more than 2,000 books and pamphlets, Voltaire (François-Marie Arouet, 1694-1778) was one of the most prolific writers of the eighteenth century, and also one of the wittiest and most insightful. This unique collection of over 800 of Voltaire’s wisest passages and choicest bons mots runs the gamut on topics from adultery to Zoroaster, in both English and French. Drawing from a wide range of his publications, private letters, and remarks recorded by his contemporaries, The Quotable Voltaire includes material never before gathered in a single volume. English translations appear alongside the original French, and each quote is thoroughly indexed and referenced, with page numbers for both the first known publication edition of each entry and the most recent edition of Voltaire’s works. The book also features over 400 quotes about Voltaire, including commentary by eighteenth-century luminaries like Samuel Johnson, Catherine the Great, Casanova, and John Adams, as well as an eclectic assortment of modern-day personages ranging from Winston Churchill and Jorge Luis Borges to Mae West and Mike Tyson. Lavishly illustrated with nearly three dozen images of Voltaire-related art, this collection opens with a scholarly essay that recounts the great man’s life and reflects on his outsized influence on Western culture. Whether you are a Voltaire scholar or a neophyte, The Quotable Voltaire is the perfect introduction to a brilliant mind.

J. Michael Dunn on Information Based Logics

Author : Katalin Bimbo
Publisher : Springer
Page : 436 pages
File Size : 55,7 Mb
Release : 2016-04-02
Category : Philosophy
ISBN : 9783319293004

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J. Michael Dunn on Information Based Logics by Katalin Bimbo Pdf

This book celebrates and expands on J. Michael Dunn’s work on informational interpretations of logic. Dunn, in his Ph.D. thesis (1966), introduced a semantics for first-degree entailments utilizing the idea that a sentence can provide positive or negative information about a topic, possibly supplying both or neither. He later published a related interpretation of the logic R-mingle, which turned out to be one of the first relational semantics for a relevance logic. An incompatibility relation between information states lends itself to a definition of negation and it has figured into Dunn's comprehensive investigations into representations of various negations. The informational view of semantics is also a prominent theme in Dunn’s research on other logics, such as quantum logic and linear logic, and led to the encompassing theory of generalized Galois logics (or "gaggles"). Dunn’s latest work addresses informational interpretations of the ternary accessibility relation and the very nature of information. The book opens with Dunn’s autobiography, followed by a list of his publications. It then presents a series of papers written by respected logicians working on different aspects of information-based logics. The topics covered include the logic R-mingle, which was introduced by Dunn, and its applications in mathematical reasoning as well as its importance in obtaining results for other relevance logics. There are also interpretations of the accessibility relation in the semantics of relevance and other non-classical logics using different notions of information. It also presents a collection of papers that develop semantics for various logics, including certain modal and many-valued logics. The publication of this book is well timed, since we are living in an "information age.” Providing new technical findings, intellectual history and careful expositions of intriguing ideas, it appeals to a wide audience of scholars and researchers.

Mario Bunge: A Centenary Festschrift

Author : Michael R. Matthews
Publisher : Springer
Page : 827 pages
File Size : 42,9 Mb
Release : 2019-07-17
Category : Science
ISBN : 9783030166731

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Mario Bunge: A Centenary Festschrift by Michael R. Matthews Pdf

This volume has 41 chapters written to honor the 100th birthday of Mario Bunge. It celebrates the work of this influential Argentine/Canadian physicist and philosopher. Contributions show the value of Bunge’s science-informed philosophy and his systematic approach to philosophical problems. The chapters explore the exceptionally wide spectrum of Bunge’s contributions to: metaphysics, methodology and philosophy of science, philosophy of mathematics, philosophy of physics, philosophy of psychology, philosophy of social science, philosophy of biology, philosophy of technology, moral philosophy, social and political philosophy, medical philosophy, and education. The contributors include scholars from 16 countries. Bunge combines ontological realism with epistemological fallibilism. He believes that science provides the best and most warranted knowledge of the natural and social world, and that such knowledge is the only sound basis for moral decision making and social and political reform. Bunge argues for the unity of knowledge. In his eyes, science and philosophy constitute a fruitful and necessary partnership. Readers will discover the wisdom of this approach and will gain insight into the utility of cross-disciplinary scholarship. This anthology will appeal to researchers, students, and teachers in philosophy of science, social science, and liberal education programmes. 1. Introduction Section I. An Academic Vocation (3 chapters) Section II. Philosophy (12 chapters) Section III. Physics and Philosophy of Physics (4 chapters) Section IV. Cognitive Science and Philosophy of Mind (2 chapters) Section V. Sociology and Social Theory (4 chapters) Section VI. Ethics and Political Philosophy (3 chapters) Section VII. Biology and Philosophy of Biology (3 chapters) Section VIII. Mathematics (3 chapters) Section IX. Education (2 chapters) Section X. Varia (3 chapters) Section XI. Bibliography

Kit Fine on Truthmakers, Relevance, and Non-classical Logic

Author : Federico L. G. Faroldi,Frederik Van De Putte
Publisher : Springer Nature
Page : 796 pages
File Size : 55,5 Mb
Release : 2023-11-25
Category : Philosophy
ISBN : 9783031294150

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Kit Fine on Truthmakers, Relevance, and Non-classical Logic by Federico L. G. Faroldi,Frederik Van De Putte Pdf

This book explores some of Kit Fine's outstanding contributions to logic, philosophy of language, philosophy of mathematics, and metaphysics, among others. Contributing authors address in-depth issues about truthmaker semantics, counterfactual conditionals, grounding, vagueness, non-classical consequence relations, and arbitrary objects, offering critical reflections and novel research contributions. Each chapter is accompanied by an extensive commentary, in which Kit Fine offers detailed responses to the ideas and themes raised by the contributors. The book includes a brief autobiography and exhaustive list of his publications to this date. This book is of interest to logicians of all stripes and to analytic philosophers more generally.

Collected Papers of Stig Kanger with Essays on his Life and Work Volume II

Author : Ghita Holmström-Hintikka,Sten Lindström,R. Sliwinski
Publisher : Springer Science & Business Media
Page : 282 pages
File Size : 48,9 Mb
Release : 2012-12-06
Category : Philosophy
ISBN : 9789401006309

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Collected Papers of Stig Kanger with Essays on his Life and Work Volume II by Ghita Holmström-Hintikka,Sten Lindström,R. Sliwinski Pdf

Stig Kanger (1924-1988) made important contributions to logic and formal philosophy. Kanger's dissertation Provability in Logic, 1957, contained significant results in proof theory as well as the first fully worked out model-theoretic interpretation of quantified modal logic. It is generally accepted nowadays that Kanger was one of the originators of possible worlds semantics for modal logic. Kanger's most original achievements were in the areas of general proof theory, the semantics of modal and deontic logic, and the logical analysis of the concept of rights. He also contributed to action theory, preference logic, and the theory of measurement. This is the first of two volumes dedicated to the work of Stig Kanger. The present volume is a complete collection of Kanger's philosophical papers. The second volume contains critical essays on Kanger's work, as well as biographical essays on Kanger written by colleagues and friends.

The Collected Works of Julia Robinson

Author : Julia Robinson
Publisher : American Mathematical Soc.
Page : 388 pages
File Size : 41,7 Mb
Release : 1996
Category : Mathematics
ISBN : 0821805754

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The Collected Works of Julia Robinson by Julia Robinson Pdf

This volume presents all the published works -- spanning more than thirty years -- of Julia Bowman Robinson. These papers constitute important contributions to the theory of effectively calculable functions and to its applications. Outstanding among the latter are Robinson's proof of the effective unsolvability of the decision problem for the rational number field (and, consequently of that for the first-order theory of all fields), and her work that provided the central step toward the negative solution of Hilbert's Tenth Problem. These results provide upper bound for what one can hope to obtain in the way of positive solutions to the decision problem for special classes of fields and for special classes of diophantine equations, respectively. Besides thematic unity, Robinson's papers are distinguished by their clarity of purpose and accessibility to non-specialists as well as specialists. The volume also includes an extensive biographical memoir on the life and work of Robinson, who will be remembered not only for her distinctive and vital contributions, but also as the first woman to be elected to the mathematical section of the National Academy of Sciences and as the first woman to be President of the American Mathematical Society.

Samson Abramsky on Logic and Structure in Computer Science and Beyond

Author : Alessandra Palmigiano,Mehrnoosh Sadrzadeh
Publisher : Springer Nature
Page : 1149 pages
File Size : 51,8 Mb
Release : 2023-09-02
Category : Philosophy
ISBN : 9783031241178

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Samson Abramsky on Logic and Structure in Computer Science and Beyond by Alessandra Palmigiano,Mehrnoosh Sadrzadeh Pdf

Samson Abramsky’s wide-ranging contributions to logical and structural aspects of Computer Science have had a major influence on the field. This book is a rich collection of papers, inspired by and extending Abramsky’s work. It contains both survey material and new results, organised around six major themes: domains and duality, game semantics, contextuality and quantum computation, comonads and descriptive complexity, categorical and logical semantics, and probabilistic computation. These relate to different stages and aspects of Abramsky’s work, reflecting its exceptionally broad scope and his ability to illuminate and unify diverse topics. Chapters in the volume include a review of his entire body of work, spanning from philosophical aspects to logic, programming language theory, quantum theory, economics and psychology, and relating it to a theory of unification of sciences using dual adjunctions. The section on game semantics shows how Abramsky’s work has led to a powerful new paradigm for the semantics of computation. The work on contextuality and categorical quantum mechanics has been highly influential, and provides the foundation for increasingly widely used methods in quantum computing. The work on comonads and descriptive complexity is building bridges between currently disjoint research areas in computer science, relating Structure to Power. The volume also includes a scientific autobiography, and an overview of the contributions. The outstanding set of contributors to this volume, including both senior and early career academics, serve as testament to Samson Abramsky’s enduring influence. It will provide an invaluable and unique resource for both students and established researchers.

Biographical Memoirs

Author : National Academy of Sciences
Publisher : National Academies Press
Page : 547 pages
File Size : 52,7 Mb
Release : 1994-02-01
Category : Biography & Autobiography
ISBN : 9780309049764

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Biographical Memoirs by National Academy of Sciences Pdf

Biographic Memoirs: Volume 63 contains the biographies of deceased members of the National Academy of Sciences and bibliographies of their published works. Each biographical essay was written by a member of the Academy familiar with the professional career of the deceased. For historical and bibliographical purposes, these volumes are worth returning to time and again.

Perspectives on the History of Mathematical Logic

Author : Thomas Drucker
Publisher : Springer Science & Business Media
Page : 218 pages
File Size : 51,7 Mb
Release : 2009-05-21
Category : Mathematics
ISBN : 9780817647698

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Perspectives on the History of Mathematical Logic by Thomas Drucker Pdf

This volume offers insights into the development of mathematical logic over the last century. Arising from a special session of the history of logic at an American Mathematical Society meeting, the chapters explore technical innovations, the philosophical consequences of work during the period, and the historical and social context in which the logicians worked. The discussions herein will appeal to mathematical logicians and historians of mathematics, as well as philosophers and historians of science.

Zermelo’s Axiom of Choice

Author : G.H. Moore
Publisher : Springer Science & Business Media
Page : 425 pages
File Size : 47,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461394785

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Zermelo’s Axiom of Choice by G.H. Moore Pdf

This book grew out of my interest in what is common to three disciplines: mathematics, philosophy, and history. The origins of Zermelo's Axiom of Choice, as well as the controversy that it engendered, certainly lie in that intersection. Since the time of Aristotle, mathematics has been concerned alternately with its assumptions and with the objects, such as number and space, about which those assumptions were made. In the historical context of Zermelo's Axiom, I have explored both the vagaries and the fertility of this alternating concern. Though Zermelo's research has provided the focus for this book, much of it is devoted to the problems from which his work originated and to the later developments which, directly or indirectly, he inspired. A few remarks about format are in order. In this book a publication is indicated by a date after a name; so Hilbert 1926, 178 refers to page 178 of an article written by Hilbert, published in 1926, and listed in the bibliography.