The iconic logic of Peirce's graphs / Sun-Joo Shin.

Format:

Book

Author/Creator:

Shin, Sun-Joo.

Language:

English

Subjects (All):

Logic diagrams.

Peirce, Charles S. (Charles Sanders), 1839-1914.

Peirce, Charles S.

Physical Description:

1 online resource (x, 208 p. ) ill. ;

Place of Publication:

Cambridge, Mass. : MIT Press, 2002.

Language Note:

English

Summary:

"At the dawn of modern logic, Charles S. Peirce invented two types of logical systems, one symbolic and the other graphical. In this book Sun-Joo Shin explores the philosophical roots of the birth of Peirce's Existential Graphs in his theory of representation and logical notation. Shin demonstrates that Peirce is the first philosopher to lay a solid philosophical foundation for multimodal representation systems."

"Shin analyzes Peirce's well-known, but much-criticized nonsymbolic representation system. She presents a new approach to his graphical system based on her discovery of its unique nature and on a reconstruction of Peirce's theory of representation. By seeking to understand graphical systems in their own terms, she uncovers the reasons why graphical systems, and Existential Graphs in particular, have been underappreciated by logicians. Drawing on perspectives from the philosophy of mind, cognitive science, logic, and computer science, Shin points the way toward a genuinely interdisciplinary project on multimodal reasoning."--Cover.

Contents:

1. Introduction

2. The Birth of Graphical Systems. 2.1. Preliminaries. 2.2. Diagrammatic reasoning. 2.3. The theory of signs. 2.4. Heterogeneous formal systems

3. Existential Graphs as a Heterogeneous System. 3.1. Introduction of Existential Graphs. 3.2. The symbolicity of Existential Graphs. 3.3. The iconicity of Existential Graphs

4. The Alpha System Reconsidered. 4.1. "Endoporeutic" reading. 4.2. "Negation normal form" reading. 4.3. Multiple readings. 4.4. Transformation rules. 4.5. Sentences versus graphs

5. The Beta System Reconsidered. 5.1. Preliminaries. 5.2. A new reading. 5.3. Transformation rules. 5.4. Appendix: direct semantics

6. Logical System versus Calculus

7. Conclusion.

Notes:

Includes bibliographical references (pages [197]-203) and index.

"A Bradford book."

OCLC-licensed vendor bibliographic record.

ISBN:

0-262-28355-7

0-585-43547-2

OCLC:

51938120