Semantic Conception of Logic: Essays on Consequence, Invariance, and Meaning

This collection of essays explores the semantic conception of logic, invariance criteria, and logical truth, presenting cutting-edge research and revisiting central criticisms. It will be valuable to philosophers and logicians.

\n Format: Hardback
\n Length: 280 pages
\n Publication date: 09 September 2021
\n Publisher: Cambridge University Press
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This comprehensive collection of innovative essays delves into the intricate realm of the semantic conception of logic, exploring the principles of logicality, grammaticality, and logical truth. Contributors embark on a historical journey, tracing the roots of the semantic tradition back to the pioneering work of Tarski, while also examining its profound historical applications. At the same time, they critically reexamine central criticisms of the tradition, particularly the reliance on invariance criteria to explain logicality. Furthermore, the book delves into the latest critiques of the semantic approach, engaging scholars from mathematics and linguistics to shed light on its significance in their respective fields. As a valuable resource for philosophers and logicians, this book offers insightful perspectives and profound insights into the core concepts of logic and its applications.

The semantic conception of logic, which emerged in the early 20th century, is a philosophical framework that seeks to understand the meaning and interpretation of logical statements. It emphasizes the role of semantics in determining the truth-value of logical propositions and argues that logical validity is determined by the meanings of the logical symbols and the relations between them.

One of the key principles of the semantic conception of logic is the idea of semantic invariance. According to this principle, logical validity is unaffected by changes in the interpretation of the logical symbols or the relations between them. This means that a logical proposition remains valid regardless of whether it is interpreted in a different semantic context or in a different language.

However, the use of semantic invariance criteria to explain logicality has been criticized by some philosophers. They argue that invariance criteria are too narrow and that they fail to account for the full range of logical phenomena. For example, some philosophers have argued that logical validity is not determined solely by the meanings of the logical symbols but also by the context in which they are used.

In response to these criticisms, some philosophers have proposed alternative approaches to the semantic conception of logic. These approaches focus on the role of context and the use of pragmatic principles to determine logical validity. For example, some philosophers have argued that logical validity is determined by the intended meaning of the logical statement and the context in which it is used.

The semantic conception of logic has had a significant impact on the fields of mathematics and linguistics. In mathematics, the semantic conception of logic has been used to develop formal systems for the analysis and verification of mathematical statements. These systems rely on the idea of semantic invariance to ensure the logical validity of mathematical proofs.

In linguistics, the semantic conception of logic has been used to develop theories of meaning and interpretation. These theories emphasize the role of context and the use of pragmatic principles to determine the meaning of linguistic expressions.

Overall, the semantic conception of logic is a complex and multifaceted framework that continues to be the subject of ongoing research and debate. While it has been criticized for its reliance on semantic invariance criteria, it has also been praised for its ability to provide a clear and systematic approach to the analysis and interpretation of logical statements. As the field of logic continues to evolve, it will be interesting to see how the semantic conception of logic continues to shape our understanding of the nature of logic and its applications.

\n Weight: 580g\n
Dimension: 158 x 237 x 25 (mm)\n
ISBN-13: 9781108422543\n \n