The Semantic Conception Of Logic
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| Author | : Gil Sagi |
| Publisher | : Cambridge University Press |
| Total Pages | : 316 |
| Release | : 2021-09-09 |
| Genre | : Mathematics |
| ISBN | : 1108529828 |
This collection of new essays presents cutting-edge research on the semantic conception of logic, the invariance criteria of logicality, grammaticality, and logical truth. Contributors explore the history of the semantic tradition, starting with Tarski, and its historical applications, while central criticisms of the tradition, and especially the use of invariance criteria to explain logicality, are revisited by the original participants in that debate. Other essays discuss more recent criticism of the approach, and researchers from mathematics and linguistics weigh in on the role of the semantic tradition in their disciplines. This book will be invaluable to philosophers and logicians alike.
| Author | : Gil Sagi |
| Publisher | : Cambridge University Press |
| Total Pages | : 0 |
| Release | : 2023-10-19 |
| Genre | : Mathematics |
| ISBN | : 9781108435543 |
This collection of new essays presents cutting-edge research on the semantic conception of logic, the invariance criteria of logicality, grammaticality, and logical truth. Contributors explore the history of the semantic tradition, starting with Tarski, and its historical applications, while central criticisms of the tradition, and especially the use of invariance criteria to explain logicality, are revisited by the original participants in that debate. Other essays discuss more recent criticism of the approach, and researchers from mathematics and linguistics weigh in on the role of the semantic tradition in their disciplines. This book will be invaluable to philosophers and logicians alike.
| Author | : Gil Sagi |
| Publisher | : |
| Total Pages | : |
| Release | : 2021-08 |
| Genre | : |
| ISBN | : 9781108524919 |
"The semantic tradition makes languages and their interpretations the objects of formal study. It has flourished through the development of model theory, initially used by Tarski for the formal explication of the notions of truth and logical consequence. Since the midst of the twentieth century, model theory has had tremendous impact in mathematics, computer science, linguistics and philosophy. In mathematics, model theory started as a foundational discipline and was typically concerned with the study of consistency, compactness and completeness. Since then, it has turned its focus to the systematic organization of mathematical theories through applications in various fields from number theory to algebraic geometry"--
| Author | : Theodore Sider |
| Publisher | : Oxford University Press |
| Total Pages | : 305 |
| Release | : 2010-01-07 |
| Genre | : Philosophy |
| ISBN | : 0192658816 |
Logic for Philosophy is an introduction to logic for students of contemporary philosophy. It is suitable both for advanced undergraduates and for beginning graduate students in philosophy. It covers (i) basic approaches to logic, including proof theory and especially model theory, (ii) extensions of standard logic that are important in philosophy, and (iii) some elementary philosophy of logic. It emphasizes breadth rather than depth. For example, it discusses modal logic and counterfactuals, but does not prove the central metalogical results for predicate logic (completeness, undecidability, etc.) Its goal is to introduce students to the logic they need to know in order to read contemporary philosophical work. It is very user-friendly for students without an extensive background in mathematics. In short, this book gives you the understanding of logic that you need to do philosophy.
| Author | : Andrea Iacona |
| Publisher | : Springer |
| Total Pages | : 139 |
| Release | : 2018-01-28 |
| Genre | : Philosophy |
| ISBN | : 3319741543 |
Logical form has always been a prime concern for philosophers belonging to the analytic tradition. For at least one century, the study of logical form has been widely adopted as a method of investigation, relying on its capacity to reveal the structure of thoughts or the constitution of facts. This book focuses on the very idea of logical form, which is directly relevant to any principled reflection on that method. Its central thesis is that there is no such thing as a correct answer to the question of what is logical form: two significantly different notions of logical form are needed to fulfill two major theoretical roles that pertain respectively to logic and to semantics. This thesis has a negative and a positive side. The negative side is that a deeply rooted presumption about logical form turns out to be overly optimistic: there is no unique notion of logical form that can play both roles. The positive side is that the distinction between two notions of logical form, once properly spelled out, sheds light on some fundamental issues concerning the relation between logic and language.
| Author | : Jan Woleński |
| Publisher | : Springer Nature |
| Total Pages | : 392 |
| Release | : 2020-01-01 |
| Genre | : Philosophy |
| ISBN | : 3030245365 |
The book provides a historical (with an outline of the history of the concept of truth from antiquity to our time) and systematic exposition of the semantic theory of truth formulated by Alfred Tarski in the 1930s. This theory became famous very soon and inspired logicians and philosophers. It has two different, but interconnected aspects: formal-logical and philosophical. The book deals with both, but it is intended mostly as a philosophical monograph. It explains Tarski’s motivation and presents discussions about his ideas (pro and contra) as well as points out various applications of the semantic theory of truth to philosophical problems (truth-criteria, realism and anti-realism, future contingents or the concept of correspondence between language and reality).
| Author | : Alfred Tarski |
| Publisher | : Hackett Publishing |
| Total Pages | : 542 |
| Release | : 1983-01-01 |
| Genre | : Philosophy |
| ISBN | : 9780915144761 |
| Author | : Hans Halvorson |
| Publisher | : Cambridge University Press |
| Total Pages | : 305 |
| Release | : 2019-07-11 |
| Genre | : Philosophy |
| ISBN | : 1107110998 |
Reconsiders the role of formal logic in the analytic approach to philosophy, using cutting-edge mathematical techniques to elucidate twentieth-century debates.
| Author | : Luciano Floridi |
| Publisher | : Oxford University Press |
| Total Pages | : 224 |
| Release | : 2019-01-21 |
| Genre | : Mathematics |
| ISBN | : 0192570277 |
Luciano Floridi presents an innovative approach to philosophy, conceived as conceptual design. He explores how we make, transform, refine, and improve the objects of our knowledge. His starting point is that reality provides the data, to be understood as constraining affordances, and we transform them into information, like semantic engines. Such transformation or repurposing is not equivalent to portraying, or picturing, or photographing, or photocopying anything. It is more like cooking: the dish does not represent the ingredients, it uses them to make something else out of them, yet the reality of the dish and its properties hugely depend on the reality and the properties of the ingredients. Models are not representations understood as pictures, but interpretations understood as data elaborations, of systems. Thus, he articulates and defends the thesis that knowledge is design and philosophy is the ultimate form of conceptual design. Although entirely independent of Floridi's previous books, The Philosophy of Information (OUP 2011) and The Ethics of Information (OUP 2013), The Logic of Information both complements the existing volumes and presents new work on the foundations of the philosophy of information.
| Author | : Nick Riemer |
| Publisher | : Cambridge University Press |
| Total Pages | : 477 |
| Release | : 2010-03-25 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 0521851920 |
An introduction to the study of meaning in language for undergraduate students.
