Logical semiotics and mereology

Bibliographic Information

Logical semiotics and mereology

Richard M. Martin

(Foundations of semiotics, v. 16)

John Benjamins, 1992

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Includes bibliographical references

Description and Table of Contents

Description

The papers in this volume are concerned with a variety of vitally important topics in philosophical logic, the philosophy of language, the philosophy of mathematics, the philosophy of science, and in the application of modern logic to wider philosophical problems. All of them make fundamental use, in one way or another, of logical semiotics, the modern trivium of systematic syntax, semantics, and pragmatics, and some of them, of mereology, the general theory of parts and whole. The book includes 20 articles, dealing with such subjects as 'Logical semiotics and logistic grammar', 'The semiotics of mathematical practice', 'Husserlian parts and wholes', 'Compound individuals and the languages of science', and discusses work of Geach, Lesniewski, Carnap, Peirce, and Quine.

Table of Contents

  • 1. Preface
  • 2. Chapter One: On the positive power of negation
  • 3. Chapter Two: On logical semiotics and logistic grammar: relations, roles, representation, and rules
  • 4. Chapter Three: On Carnap and the origins of systematic pragmatics
  • 5. Chapter Four: On comparatives: P.T. Geach
  • 6. Chapter Five: On homogeneous logic, a quasi-Lesniewskian ontology, and type-theory
  • 7. Chapter Six: On non-translational semantics and a quasi-Lesniewskian calculus of Names
  • 8. Chapter Seven: On Platonism, form, and number
  • 9. Chapter Eight: On relational couples and ordinal individuals: Peirce and Russell
  • 10. Chapter Nine: On ordinal nominalism: Goodman, Eberle, and Hempel
  • 11. Chapter Ten: On sets and individuals: Hao Wang
  • 12. Chapter Eleven: On the mainstream of science and Suppes's pluralism
  • 13. Chapter Twelve: On the semiotics of mathematical practice
  • 14. Chapter Thirteen: On relational domains, the algebra of relations, and relational-term logic
  • 15. Chapter Fourteen: On Husserlian parts and wholes
  • 16. Chapter Fifteen: On compound individuals and the languages of science
  • 17. Chapter Sixteen: On Weiss's early papers in logic
  • 18. Chapter Seventeen: On Quine's "Facts of the Matter"
  • 19. Chapter Eighteen: On collective terms, mereological sumf, and quantifiers
  • 20. Chapter Nineteen: On the effectiveness of mathematics in the natural sciences: Wigner, Whitehead, and Carnap
  • 21. Chapter Twenty: On ordinal acts and era III mathematics
  • 22. Appendix: a thumbnail sketch of ordinal mereology
  • 23. Notes

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