Peter Schroeder Heister On Proof Theoretic Semantics
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Peter Schroeder Heister On Proof Theoretic Semantics
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Author : Thomas Piecha
language : en
Publisher: Springer
Release Date : 2024-02-13
Peter Schroeder Heister On Proof Theoretic Semantics written by Thomas Piecha and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-13 with Philosophy categories.
This open access book is a superb collection of some fifteen chapters inspired by Schroeder-Heister's groundbreaking work, written by leading experts in the field, plus an extensive autobiography and comments on the various contributions by Schroeder-Heister himself. For several decades, Peter Schroeder-Heister has been a central figure in proof-theoretic semantics, a field of study situated at the interface of logic, theoretical computer science, natural-language semantics, and the philosophy of language. The chapters of which this book is composed discuss the subject from a rich variety of angles, including the history of logic, the proper interpretation of logical validity, natural deduction rules, the notions of harmony and of synonymy, the structure of proofs, the logical status of equality, intentional phenomena, and the proof theory of second-order arithmetic. All chapters relate directly to questions that have driven Schroeder-Heister's own research agenda and to which he has made seminal contributions. The extensive autobiographical chapter not only provides a fascinating overview of Schroeder-Heister's career and the evolution of his academic interests but also constitutes a contribution to the recent history of logic in its own right, painting an intriguing picture of the philosophical, logical, and mathematical institutional landscape in Germany and elsewhere since the early 1970s. The papers collected in this book are illuminatingly put into a unified perspective by Schroeder-Heister's comments at the end of the book. Both graduate students and established researchers in the field will find this book an excellent resource for future work in proof-theoretic semantics and related areas.
Advances In Proof Theoretic Semantics
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Author : Thomas Piecha
language : en
Publisher: Springer
Release Date : 2015-10-24
Advances In Proof Theoretic Semantics written by Thomas Piecha and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-24 with Philosophy categories.
This volume is the first ever collection devoted to the field of proof-theoretic semantics. Contributions address topics including the systematics of introduction and elimination rules and proofs of normalization, the categorial characterization of deductions, the relation between Heyting's and Gentzen's approaches to meaning, knowability paradoxes, proof-theoretic foundations of set theory, Dummett's justification of logical laws, Kreisel's theory of constructions, paradoxical reasoning, and the defence of model theory. The field of proof-theoretic semantics has existed for almost 50 years, but the term itself was proposed by Schroeder-Heister in the 1980s. Proof-theoretic semantics explains the meaning of linguistic expressions in general and of logical constants in particular in terms of the notion of proof. This volume emerges from presentations at the Second International Conference on Proof-Theoretic Semantics in Tübingen in 2013, where contributing authors were asked to provide a self-contained description and analysis of a significant research question in this area. The contributions are representative of the field and should be of interest to logicians, philosophers, and mathematicians alike.
Dag Prawitz On Proofs And Meaning
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Author : Heinrich Wansing
language : en
Publisher: Springer
Release Date : 2014-11-27
Dag Prawitz On Proofs And Meaning written by Heinrich Wansing and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-27 with Philosophy categories.
This volume is dedicated to Prof. Dag Prawitz and his outstanding contributions to philosophical and mathematical logic. Prawitz's eminent contributions to structural proof theory, or general proof theory, as he calls it, and inference-based meaning theories have been extremely influential in the development of modern proof theory and anti-realistic semantics. In particular, Prawitz is the main author on natural deduction in addition to Gerhard Gentzen, who defined natural deduction in his PhD thesis published in 1934. The book opens with an introductory paper that surveys Prawitz's numerous contributions to proof theory and proof-theoretic semantics and puts his work into a somewhat broader perspective, both historically and systematically. Chapters include either in-depth studies of certain aspects of Dag Prawitz's work or address open research problems that are concerned with core issues in structural proof theory and range from philosophical essays to papers of a mathematical nature. Investigations into the necessity of thought and the theory of grounds and computational justifications as well as an examination of Prawitz's conception of the validity of inferences in the light of three “dogmas of proof-theoretic semantics” are included. More formal papers deal with the constructive behaviour of fragments of classical logic and fragments of the modal logic S4 among other topics. In addition, there are chapters about inversion principles, normalization of p roofs, and the notion of proof-theoretic harmony and other areas of a more mathematical persuasion. Dag Prawitz also writes a chapter in which he explains his current views on the epistemic dimension of proofs and addresses the question why some inferences succeed in conferring evidence on their conclusions when applied to premises for which one already possesses evidence.
Rules And Meaning In Quantum Mechanics
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Author : Iulian D. Toader
language : en
Publisher: Springer Nature
Release Date : 2025-05-30
Rules And Meaning In Quantum Mechanics written by Iulian D. Toader and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-30 with Science categories.
This book pursues an investigation at the intersection of philosophy of physics and philosophy of language, and offers a critical analysis of rival explanations of the semantic facts of quantum mechanics. The author presents new insights, including a reworking of Einstein's incompleteness argument, a fresh take on Bohr's correspondence principle, and several critiques of recent views in the philosophy of quantum logic. The book will be of interest to scholars and students whose philosophical work concerns language, logic, or physics.
Grounding In Medieval Philosophy
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Author : Calvin G. Normore
language : en
Publisher: Springer Nature
Release Date : 2024-05-09
Grounding In Medieval Philosophy written by Calvin G. Normore and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-09 with Philosophy categories.
This book offers a selection of 13 case studies on how the notion of grounding helps illuminate philosophical discussions of our past with a special focus on debates of the Middle Ages. It thereby makes not only the case that the notion of grounding, which has become so widely debated in analytic metaphysics, has a long and venerable tradition, but also shows that this tradition has a lot to teach to contemporary philosophers of grounding. This is because the historical authors discussed in this volume – that is, Aristotle, Fazang, Boethius, Avicenna, Abelard, Aquinas, Scotus, Ockham, Buridan, Suárez, Leibniz, and others – suggested different types of non-efficient-causal explanations which are to be carefully distinguished. This volume illustrates how philosophy and history of philosophy can be mutually illuminating by showing that the terminology developed in the contemporary debate about grounding can help reconstruct philosophical discussions from Antiquity up to the Early Modern Period, and that these very discussions enrich, and in part challenge the contemporary debate about grounding. In this vein, it is an important reading for everyone interested in the history of grounding and the philosophical insights that this history might have left to us.
The Architecture And Archaeology Of Modern Logic
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Author : Ansten Klev
language : en
Publisher: Springer Nature
Release Date : 2024-10-02
The Architecture And Archaeology Of Modern Logic written by Ansten Klev and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-02 with Philosophy categories.
This book honors the original and influential work by Göran Sundholm in the fields of the philosophy and history of logic and mathematics. Borne from two conferences held in Paris and Leiden on the occasion of Göran Sundholm’s retirement in 2019, the contributions collected in this volume represent work from leading logicians and philosophers. Reflecting Sundholm’s contributions to the history and philosophy of logic, this book is divided into two parts: the architecture and archaeology of logic. The essays collected in the ‘architecture’ section cover primarily the systematic approach to basic logical concepts taken by Sundholm, including type theory, epistemic assumptions, and notions of consequence. The ‘archaeology’ section includes contributions focused on Sundholm’s contributions to the history of philosophy and logic. Enclosing these two sections are, on the one end, autobiographical remarks of Sundholm's and, on the other, a paper on cooking and philosophy, reflectinganother of Sundholm's passions in life. This book is of interest to logicians, philosophers, mathematicians, and computer scientists.
Meaning In Dialogue
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Author : James Trafford
language : en
Publisher: Springer
Release Date : 2016-10-24
Meaning In Dialogue written by James Trafford and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-24 with Philosophy categories.
This book argues for a view in which processes of dialogue and interaction are taken to be foundational to reasoning, logic, and meaning. This is both a continuation, and a substantial modification, of an inferentialist approach to logic. As such, the book not only provides a critical introduction to the inferentialist view, but it also provides an argument that this shift in perspective has deep and foundational consequences for how we understand the nature of logic and its relationship with meaning and reasoning. This has been upheld by several technical results, including, for example a novel approach to logical paradox and logical revision, and an account of the internal justification of logical rules. The book shows that inferentialism is greatly strengthened, such that it can answer the most stringent criticisms of the view. This leads to a view of logic that emphasizes the dynamics of reasoning, provides a novel account of the justification and normativity of logical rules, thus leading to a new, attractive approach to the foundations of logic. The book addresses readers interested in philosophy of language, philosophical and mathematical logic, theories of reasoning, and also those who actively engage in current debates involving, for example, logical revision, and the relationship between logic and reasoning, from advanced undergraduates, to professional philosophers, mathematicians, and linguists.
The Logical Writings Of Karl Popper
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Author : David Binder
language : en
Publisher: Springer Nature
Release Date : 2022-08-07
The Logical Writings Of Karl Popper written by David Binder and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-07 with Philosophy categories.
This open access book is the first ever collection of Karl Popper's writings on deductive logic. Karl R. Popper (1902-1994) was one of the most influential philosophers of the 20th century. His philosophy of science ("falsificationism") and his social and political philosophy ("open society") have been widely discussed way beyond academic philosophy. What is not so well known is that Popper also produced a considerable work on the foundations of deductive logic, most of it published at the end of the 1940s as articles at scattered places. This little-known work deserves to be known better, as it is highly significant for modern proof-theoretic semantics. This collection assembles Popper's published writings on deductive logic in a single volume, together with all reviews of these papers. It also contains a large amount of unpublished material from the Popper Archives, including Popper's correspondence related to deductive logic and manuscripts that were (almost) finished, but did not reach the publication stage. All of these items are critically edited with additional comments by the editors. A general introduction puts Popper's work into the context of current discussions on the foundations of logic. This book should be of interest to logicians, philosophers, and anybody concerned with Popper's work.
Epistemology Knowledge And The Impact Of Interaction
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Author : Juan Redmond
language : en
Publisher: Springer
Release Date : 2016-04-28
Epistemology Knowledge And The Impact Of Interaction written by Juan Redmond and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-28 with Philosophy categories.
With this volume of the series Logic, Epistemology, and the Unity of Science edited by S. Rahman et al. a challenging dialogue is being continued. The series’ first volume argued that one way to recover the connections between logic, philosophy of sciences, and sciences is to acknowledge the host of alternative logics which are currently being developed. The present volume focuses on four key themes. First of all, several chapters unpack the connection between knowledge and epistemology with particular focus on the notion of knowledge as resulting from interaction. Secondly, new epistemological perspectives on linguistics, the foundations of mathematics and logic, physics, biology and law are a subject of analysis. Thirdly, several chapters are dedicated to a discussion of Constructive Type Theory and more generally of the proof-theoretical notion of meaning.Finally, the book brings together studies on the epistemic role of abduction and argumentation theory, both linked to non-monotonic approaches to the dynamics of knowledge.
Karl Popper S Science And Philosophy
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Author : Zuzana Parusniková
language : en
Publisher: Springer Nature
Release Date : 2021-07-19
Karl Popper S Science And Philosophy written by Zuzana Parusniková and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-19 with Science categories.
Of all philosophers of the 20th century, few built more bridges between academic disciplines than Karl Popper. He contributed to a wide variety of fields in addition to the epistemology and the theory of scientific method for which he is best known. This book illustrates and evaluates the impact, both substantive and methodological, that Popper has had in the natural and mathematical sciences. The topics selected include quantum mechanics, evolutionary biology, cosmology, mathematical logic, statistics, and cognitive science. The approach is multidisciplinary, opening a dialogue across scientific disciplines and between scientists and philosophers.