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Table of Contents
Intro
Preface
Acknowledgements
Contents
Part I Introduction
Chapter 1 The Dual Ontological Nature of Language Signs and the Problem of Their Mutual Relations
1 Preliminaries
2 The Functional Approach Towards Language as a System of Signs. Two Ways of Using Signs
3 Ch. S. Pierce's Distinction: Type-token of a Sign
4 Controversies Over the Ontological Status of Language Signs and Relations Between Them
5 Solving the Problems Under Analysis
5.1 The Instantiation View vs the Representation View
Introduction
1 Intuitive Understanding of Categorial Language
1.1 Initial Syntactic Characteristic of Language
1.2 Preliminaries to the Theory of Categorial Languages
2 The Formal Theory Tlk
a Concretistic Approach
2.1 The Level of Concretes
Theory T1k
2.2 The Level of Types
Theory T2k
3 The Formal Theory Tlp
the Platonizing Approach
3.1 The Level of Types
Theory T2p
3.2 The Level of Concretes
Theory T1p
4 Metalogical and Philosophical Consequences
References
Chapter 4 On the Eliminatibility of Ideal Linguistic Entities
1 Non-uniform Semiotic Characterization of Language
2 Preliminary Conventions Concerning Language
3 Dual Theories Concepts and Expressions
4 Theory T1
4.1 Formalization of T1 at the Token Level
Theory T1(tk)
4.1.1 Axioms and Definitions of T1(tk)
4.1.2 Major Theorems of the Theory T1(tk)
4.2 Formalization of T1 at the Type Level
Theory T1(tp)
5 Theory T2
5.1 Formalization of T2 at the Type Level
Theory T2(tp)
5.2 Formalization of T2 at the Token Level
Theory T2(tk)
6 The Equivalence of the Theories T1 and T2
7 Final Conclusions and Remarks
Preface
Acknowledgements
Contents
Part I Introduction
Chapter 1 The Dual Ontological Nature of Language Signs and the Problem of Their Mutual Relations
1 Preliminaries
2 The Functional Approach Towards Language as a System of Signs. Two Ways of Using Signs
3 Ch. S. Pierce's Distinction: Type-token of a Sign
4 Controversies Over the Ontological Status of Language Signs and Relations Between Them
5 Solving the Problems Under Analysis
5.1 The Instantiation View vs the Representation View
Introduction
1 Intuitive Understanding of Categorial Language
1.1 Initial Syntactic Characteristic of Language
1.2 Preliminaries to the Theory of Categorial Languages
2 The Formal Theory Tlk
a Concretistic Approach
2.1 The Level of Concretes
Theory T1k
2.2 The Level of Types
Theory T2k
3 The Formal Theory Tlp
the Platonizing Approach
3.1 The Level of Types
Theory T2p
3.2 The Level of Concretes
Theory T1p
4 Metalogical and Philosophical Consequences
References
Chapter 4 On the Eliminatibility of Ideal Linguistic Entities
1 Non-uniform Semiotic Characterization of Language
2 Preliminary Conventions Concerning Language
3 Dual Theories Concepts and Expressions
4 Theory T1
4.1 Formalization of T1 at the Token Level
Theory T1(tk)
4.1.1 Axioms and Definitions of T1(tk)
4.1.2 Major Theorems of the Theory T1(tk)
4.2 Formalization of T1 at the Type Level
Theory T1(tp)
5 Theory T2
5.1 Formalization of T2 at the Type Level
Theory T2(tp)
5.2 Formalization of T2 at the Token Level
Theory T2(tk)
6 The Equivalence of the Theories T1 and T2
7 Final Conclusions and Remarks