Completeness and limitation of natural languages

This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively.Expressibility, namely the condition that whatever can be thought can be said, is for strong reasons considered as an essential property of natural languages. To avoid circularity, thought cannot be identified here as what language expresses. The present paper argues that completeness of language with regard to thought is a natural consequence of the fact that the language faculty is essentially the capacity to acquire and use combinatorial systems of symbols. In contrast to iconic signs, symbolic systems do not depend on similarity between signal and meaning, but are based on convention. This symbolic nature of language provides access to any domain of human experience, since no situational connection or similarity between signal and denotatum is required; the combinatorial character allows for any degree of detail, as it provides for expressions of arbitrary complexity. The symbolic and combinatorial nature of human languages implies their discrete and abstract character, by which they are limited to the expression of discrete meanings. Mental structures that are bound to similarity with the signal they rely on are therefore outside the range of language. Percepts of faces and the meaning of music are briefly discussed as mental representations that cannot be verbalized. The symbolic nature of language sets the limits of expressibility, but it also allows for metalanguage and definitions, which in turn are means to overcome local constraints on expressibility. Finally, expressibility is to be distinguished from codability, i.e., the preference for optimal expression and its consequences, which shape conventions and use of symbols.Peer Reviewe

What Can You Say? Measuring the Expressive Power of Languages

There are many different ways to talk about the world. Some ways of talking are more expressive than others—that is, they enable us to say more things about the world. But what exactly does this mean? When is one language able to express more about the world than another? In my dissertation, I systematically investigate different ways of answering this question and develop a formal theory of expressive power, translation, and notational variance. In doing so, I show how these investigations help to clarify the role that expressive power plays within debates in metaphysics, logic, and the philosophy of language

Study in the referential functions of English noun phrases

The present work attempts to establish a theory of reference from a linguistic - rather than philosophical - point of view. PART Is The Preliminaries (pp. lo-113) surveys various linguistic and philosophical problems associated with ref¬ erence; it argues against predicational analysis as a vi¬ able framework for dealing with reference; and it estab¬ lishes the field of referentiality as the domain divided between deixis (spatio-temporal location) and denotation (categorial location). PART II: The Theory (pp. 114-233) begins by drawing a fundamental distinction (based on Frege) between syntactico- semantic (SS) and referential-semantic (RS) analysis, and by setting up the notion "referential potential" as a property of linguistic items. The common — metaphysical — basis for the calculus of classes and the referential theory is demonstrated, and the formal framework developed. Four RS-categories are recognized, associated with "all", "kind" (i.e. genus), "some", and "one". These categories are considered to be the 'heads' in referential phrases, each one of which consists of one of the functional (deictic) categories and one lexical (denotative) category. The referential phrases are ordered hierarchically in a referential branch under which NP is generated. Two different serialization-types (appositive and delimitative) are considered referentially significant. A transformational component is introduced to account for serialization within the NP; three transformational pro¬ cesses are recognized. After a number of data from languages other than Eng¬ lish has been adduced in support of various aspects of the theory, PART IIIi The Application (pp. 234-413) be¬ gins by establishing the (closed) class of referential functives in English. These fall into four subclasses: quantifiers, E-classifiers, determinatives, and pronouns. These subclasses are established distributionally on the basis of the serialization-types they may enter. The remainder of PART III applies the theory to English NP's which contain a referential functive. Finally, a number of other areas are briefly mentioned for which RS-analysis is likely to prove insightful

Notes and remarks on information-seeking

By asking questions and seeking information with an eye on the logical implications of the answers of one's questions, one can become a lifelong seeker. However, one cannot become so, if one does not pay enough attention to the boundaries of logical inquiry. It holds true in all types of information-seeking that some lines of thought may turn out to be pointless, unnecessary, or at most a waste of time. Some lines of thought, on the other hand, may turn out to be to the point, perhaps time consuming but necessary, or even possibly time saver. That is not to suggest, of course, that varying degrees of time consumption determine the boundaries of logical inquiry. The boundaries in question are determined rather by conclusiveness conditions of finding, evaluating and putting information in use. In that sense the ultimate boundaries, if there are any, should be determined rather by model building for information in real-time

Analyzing Meaning - Second corrected and slightly revised edition

This book provides an introduction to the study of meaning in human language, from a linguistic perspective. It covers a fairly broad range of topics, including lexical semantics, compositional semantics, and pragmatics. The chapters are organized into six units: (1) Foundational concepts; (2) Word meanings; (3) Implicature (including indirect speech acts); (4) Compositional semantics; (5) Modals, conditionals, and causation; (6) Tense & aspect. Most of the chapters include exercises which can be used for class discussion and/or homework assignments, and each chapter contains references for additional reading on the topics covered. As the title indicates, this book is truly an INTRODUCTION: it provides a solid foundation which will prepare students to take more advanced and specialized courses in semantics and/or pragmatics

Analyzing meaning: An introduction to semantics and pragmatics. Second corrected and slightly revised edition

This book provides an introduction to the study of meaning in human language, from a linguistic perspective. It covers a fairly broad range of topics, including lexical semantics, compositional semantics, and pragmatics. The chapters are organized into six units: (1) Foundational concepts; (2) Word meanings; (3) Implicature (including indirect speech acts); (4) Compositional semantics; (5) Modals, conditionals, and causation; (6) Tense & aspect. Most of the chapters include exercises which can be used for class discussion and/or homework assignments, and each chapter contains references for additional reading on the topics covered. As the title indicates, this book is truly an INTRODUCTION: it provides a solid foundation which will prepare students to take more advanced and specialized courses in semantics and/or pragmatics. It is also intended as a reference for fieldworkers doing primary research on under-documented languages, to help them write grammatical descriptions that deal carefully and clearly with semantic issues. The approach adopted here is largely descriptive and non-formal (or, in some places, semi-formal), although some basic logical notation is introduced. The book is written at level which should be appropriate for advanced undergraduate or beginning graduate students. It presupposes some previous coursework in linguistics, but does not presuppose any background in formal logic or set theory.   This is a revised version of http://langsci-press.org/catalog/book/14

Analyzing meaning: An introduction to semantics and pragmatics

An updated edition of this book is available from  http://langsci-press.org/catalog/book/231 This book provides an introduction to the study of meaning in human language, from a linguistic perspective. It covers a fairly broad range of topics, including lexical semantics, compositional semantics, and pragmatics. The chapters are organized into six units: (1) Foundational concepts; (2) Word meanings; (3) Implicature (including indirect speech acts); (4) Compositional semantics; (5) Modals, conditionals, and causation; (6) Tense & aspect. Most of the chapters include exercises which can be used for class discussion and/or homework assignments, and each chapter contains references for additional reading on the topics covered. As the title indicates, this book is truly an INTRODUCTION: it provides a solid foundation which will prepare students to take more advanced and specialized courses in semantics and/or pragmatics. It is also intended as a reference for fieldworkers doing primary research on under-documented languages, to help them write grammatical descriptions that deal carefully and clearly with semantic issues. The approach adopted here is largely descriptive and non-formal (or, in some places, semi-formal), although some basic logical notation is introduced. The book is written at level which should be appropriate for advanced undergraduate or beginning graduate students. It presupposes some previous coursework in linguistics, but does not presuppose any background in formal logic or set theory

Analyzing meaning: An introduction to semantics and pragmatics. Second corrected and slightly revised edition

This book provides an introduction to the study of meaning in human language, from a linguistic perspective. It covers a fairly broad range of topics, including lexical semantics, compositional semantics, and pragmatics. The chapters are organized into six units: (1) Foundational concepts; (2) Word meanings; (3) Implicature (including indirect speech acts); (4) Compositional semantics; (5) Modals, conditionals, and causation; (6) Tense & aspect. Most of the chapters include exercises which can be used for class discussion and/or homework assignments, and each chapter contains references for additional reading on the topics covered. As the title indicates, this book is truly an INTRODUCTION: it provides a solid foundation which will prepare students to take more advanced and specialized courses in semantics and/or pragmatics. It is also intended as a reference for fieldworkers doing primary research on under-documented languages, to help them write grammatical descriptions that deal carefully and clearly with semantic issues. The approach adopted here is largely descriptive and non-formal (or, in some places, semi-formal), although some basic logical notation is introduced. The book is written at level which should be appropriate for advanced undergraduate or beginning graduate students. It presupposes some previous coursework in linguistics, but does not presuppose any background in formal logic or set theory.   This is a revised version of http://langsci-press.org/catalog/book/14