Research Catalog
Classical first-order logic
- Title
- Classical first-order logic / Stewart Shapiro, Teresa Kouri Kissel.
- Author
- Shapiro, Stewart, 1951-
- Publication
- Cambridge : Cambridge University Press, 2022.
- ©2022
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| Status | Format | Access | Call Number | Item Location |
|---|---|---|---|---|
Available - Can be used on site. Please visit New York Public Library - Schwarzman Building to submit a request in person. | Text | Use in library | JFE 22-4470 | Schwarzman Building - Main Reading Room 315 |
Details
- Additional Authors
- Kissel, Teresa Kouri
- Description
- 71 pages : illustrations; 23 cm.
- Summary
- "One is often said to be reasoning well when one is reasoning logically. Many attempts to say what logical reasoning is have been proposed, but one commonly proposed system is classical first-order logic. This Element will examine the basics of classical first-order logic and discuss some surrounding philosophical issues. The first half of the Element develops a language for the system, as well as a proof theory and model theory. The authors provide theorems about the system they developed, such as unique readability and the Lindenbaum lemma. They also discuss the meta-theory for the system, and provide several results there, including sketching a proof of the soudness and completeness theorems. The second half of the Element compares classical first-order logic to other systems: classical higher-order logic, intuitionistic logic, and several paraconsistent logics which reject the law of ex falso quodlibet"--
- Series Statement
- Cambridge elements. Philosophy and logic, 2516-4171
- Uniform Title
- Cambridge elements. Elements in philosophy and logic.
- Alternative Title
- Classical 1st-order logic
- Subject
- Bibliography (note)
- Includes bibliographical references (pages 66-71).
- Contents
- 1. Introduction -- Classical first-order logic : 2. Formal system -- 3. Language -- 4. Deduction -- 5. Model-theoretic semantics -- 6. Meta-theory -- Alternatives to classical first-order logic : 7. Classical higher-order logic -- 8. Intuitionism -- 9. Paraconsistency : demurring from ex falso quodlibet -- 10. Conclusion -- References.
- Call Number
- JFE 22-4470
- ISBN
- 1108987001
- 9781108987004
- OCLC
- 1287200815
- Author
- Shapiro, Stewart, 1951- author.
- Title
- Classical first-order logic / Stewart Shapiro, Teresa Kouri Kissel.
- Publisher
- Cambridge : Cambridge University Press, 2022.
- Copyright Date
- ©2022
- Type of Content
- textstill image
- Type of Medium
- unmediated
- Type of Carrier
- volume
- Series
- Cambridge elements. Philosophy and logic, 2516-4171Cambridge elements. Elements in philosophy and logic.
- Bibliography
- Includes bibliographical references (pages 66-71).
- Added Author
- Kissel, Teresa Kouri, author.
- Other Form:
- ebook version : 9781108982009
- Research Call Number
- JFE 22-4470