PREFACE 4 // Acknowledgments 11 // 0. Introduction 12 // 1. Concepts 14 // 1.1. Mental entities 14 // 1.1.1 Mental set-theoretical entities 15 // 1.1.2 Mental procedures 16 // 1.2 Non-mental entities 17 // 1.2.1 Non-mental set-theoretical entities 17 // 1.2.2 Non-mental abstract procedures 20 // 1.3 Basic philosophy of 1.2.2: TIL (informal exposition) 23 // 1.3.1 What is Frege’s sensei 26 // 1.3.2 Denotation vs. reference. Intensions and extensions 26 // 1.3.3 The idea of constructions 31 // 1.3.4 Concepts as closed constructions 40 // 1.4 Concepts 42 // 1.4.1 Concepts identify objects 42 // 1.4.1.1 ‘Empty concepts’ 42 // 1.4.1.2 Mathematical concepts 46 // 1.4.1.3 Empirical concepts 47 // 1.4.2 Concepts are abstract procedures 50 // 1.4.2.1 Constructions as abstract procedures: too fine-grained a construal 50 // 1.4.2.2 Quasi-identity of closed constructions 51 // 1.4.2.3 Using and mentioning concepts 53 // APPENDIX TO 1.4.2 56 // 1.4.3 Concepts and expressions 57 // 1.4.3.1 A basic misunderstanding: confusing semantics with general linguistics 57 // 1.4.3.2 Given a convention, what is a priori? 57 // 1.4.3.3 Meanings are concepts 58 // 1.4.3.4 Homonymy, synonymy, vagueness 59 // 1.4.3.5 Compositionality 66 // 1.4.3.6 Pragmatic factors. Open constructions 70 // 1.4.3.7 Summary 74 // 2. Conceptual Systems 76 // 2.1 The problem of ‘simple concepts’ 76 // 2.2. Simple concepts as primitive concepts. Conceptual systems 77 //
2.3 Mathematical conceptual systems 81 // 2.4 Empirical conceptual systems 83 // 2.5. Properties and relations of conceptual systems 85 // 2.6 Complex concepts as ‘ontological definitions’ 87 // Intermezzo: Parmenides principle 90 // 3. Languages and conceptual systems 96 // 3.1 Synchronic view (a temporal slice) 96 // 3.2 The Diachronic view 97 // 3.2.1 Definitional (conservative) model of development of language 97 // 3.2.2 Conceptual systems and problem sets 99 // 2 // 3.2.3 Creative extension 105 // 3.2.4 New concepts 107 // 3.2.4.1 Arithmetic 108 // 3.2.4.2 Empirical systems 114 // 3.2.4.2 a) Empirical systems that underlie ordinary languages 115 // A. Ontogenesis 116 // B. Phylogenesis 120 // 3.2.4.2. b) Languages of science 126 // Intermezzo: specific character of trivialisation; analytic truths and logic 133 // 3.3 Decomposition 137 // 3.4 Incomparable conceptual systems 140 // 3.5 Empirical vs. non-empirical 145 // 3.6 Comparing conceptual systems 148 // 3.7 The development of concepts 159 // 3.8 Different theorems, different concepts? 162 // 3.9 Once more analyticity 165 // 4. Concluding essay: Concepts and objectivity 169 // Appendix 1: Symbols /75 // Appendix 2: Some specific features of TIL 174 // Appendix 3: Some principles of the theory of concepts based on TIL 176 // Appendix 4: A solution of a Putnam ’s problem 177 // References 180 // Index 186