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Friederike Moltmann presents an original approach to philosophical issues to do with abstract objects. She focuses on natural language, and finds that reference to abstract objects such as properties, numbers, and propositions is much more restricted than is generally thought, and she offers a substantially new ontological picture.
Reference to Abstract Objects in Discourse presents a novel framework and analysis of the ways we refer to abstract objects in natural language discourse. The book begins with a typology of abstract objects and related entities like eventualities. After an introduction to `bottom up, compositional' discourse representation theory (DRT) and to previous work on abstract objects in DRT (notably work on the semantics of the attitudes), the book turns to a semantic analysis of eventuality and abstract object denoting nominals in English. The book then substantially revises and extends the dynamic semantic framework of DRT to develop an analysis of anaphoric reference to abstract objects and eventualities that exploits discourse structure and the discourse relations that obtain between elements of the structure. A dynamic, semantically based theory of discourse structure (SDRT) is proposed, along with many illustrative examples. Two further chapters then provide the analysis of anaphoric reference to propositions VP ellipsis. The abstract entity anaphoric antecedents are elements of the discourse structures that SDRT develops. The final chapter discusses some logical and philosophical difficulties for a semantic analysis of reference to abstract objects. For semanticists, philosophers of language, computer scientists interested in natural language applications and discourse, philosophical logicians, graduate students in linguistics, philosophy, cognitive science and artificial intelligence.
Metasemantics comprises new work on the philosophical foundations of linguistic semantics, by a diverse group of established and emerging experts in the philosophy of language, metaphysics, and the theory of content. The science of semantics aspires to systematically specify the meanings of linguistic expressions in context. The paradigmatic metasemantic question is accordingly: what more basic or fundamental features of the world metaphysically determine these semantic facts? Efforts to answer this question inevitably raise others. Where are the boundaries of semantics? What is the essence of the meaning relation? Which framework should we use for semantic theorizing? What are the intrinsic natures of semantic values? Are the semantic facts metaphysically determinate? What is semantic competence? Metasemantic inquiry has long been recognized as a central part of the philosophy of language, but recent developments in metaphysics and semantics itself now allow us to approach these classic questions with an unprecedented degree of precision. The essays collected here provide promising new perspectives on old problems, pose questions that suggest novel research projects, and taken together, greatly sharpen our understanding of linguistic representation.
In this book, I attempt to lay the axiomatic foundations of metaphysics by developing and applying a (formal) theory of abstract objects. The cornerstones include a principle which presents precise conditions under which there are abstract objects and a principle which says when apparently distinct such objects are in fact identical. The principles are constructed out of a basic set of primitive notions, which are identified at the end of the Introduction, just before the theorizing begins. The main reason for producing a theory which defines a logical space of abstract objects is that it may have a great deal of explanatory power. It is hoped that the data explained by means of the theory will be of interest to pure and applied metaphysicians, logicians and linguists, and pure and applied epistemologists. The ideas upon which the theory is based are not essentially new. They can be traced back to Alexius Meinong and his student, Ernst Mally, the two most influential members of a school of philosophers and psychologists working in Graz in the early part of the twentieth century. They investigated psychological, abstract and non-existent objects - a realm of objects which weren't being taken seriously by Anglo-American philoso phers in the Russell tradition. I first took the views of Meinong and Mally seriously in a course on metaphysics taught by Terence Parsons at the University of Massachusetts/Amherst in the Fall of 1978. Parsons had developed an axiomatic version of Meinong's naive theory of objects.
A presentation of the formal underpinnings of object-oriented programming languages.
Now in paperback for the first time since its original publication, the material gathered here is perfect for anyone who needs a detailed and accessible introduction to the important semantic theories. Designed for a wide audience, it will be of great value to linguists, cognitive scientists, philosophers, and computer scientists working on natural language. The book covers theories of lexical semantics, cognitively oriented approaches to semantics, compositional theories of sentence semantics, and discourse semantics. This clear, elegant explanation of the key theories in semantics research is essential reading for anyone working in the area.
Think of a number, any number, or properties like fragility and humanity. These and other abstract entities are radically different from concrete entities like electrons and elbows. While concrete entities are located in space and time, have causes and effects, and are known through empirical means, abstract entities like meanings and possibilities are remarkably different. They seem to be immutable and imperceptible and to exist "outside" of space and time. This book provides a comprehensive critical assessment of the problems raised by abstract entities and the debates about existence, truth, and knowledge that surround them. It sets out the key issues that inform the metaphysical disagreement between platonists who accept abstract entities and nominalists who deny abstract entities exist. Beginning with the essentials of the platonist–nominalist debate, it explores the key arguments and issues informing the contemporary debate over abstract reality: arguments for platonism and their connections to semantics, science, and metaphysical explanation the abstract–concrete distinction and views about the nature of abstract reality epistemological puzzles surrounding our knowledge of mathematical entities and other abstract entities. arguments for nominalism premised upon concerns about paradox, parsimony, infinite regresses, underdetermination, and causal isolation nominalist options that seek to dispense with abstract entities. Including chapter summaries, annotated further reading, and a glossary, Abstract Entities is essential reading for anyone seeking a clear and authoritative introduction to the problems raised by abstract entities.
This volume examines the question “Do abstract objects exist?”, presenting new work from contributing authors across different branches of philosophy. The introduction overviews philosophical debate which considers: what objects qualify as abstract, what do we mean by the word "exist” and indeed, what evidence should count in favor or against the thesis that abstract objects exist. Through subsequent chapters readers will discover the ubiquity of abstract objects as each philosophical field is considered. Given the ubiquitous use of expressions that purportedly refer to abstract objects, we think that it is relevant to attend to the controversy between those who want to advocate the existence of abstract objects and those who stand against them. Contributions to this volume depict positions and debates that directly or indirectly involve taking one position or other about abstract objects of different kinds and categories. The volume provides a variety of samples of how positions for or against abstract objects can be used in different areas of philosophy in relation to different matters.
This volume is the first ever collection devoted to the field of proof-theoretic semantics. Contributions address topics including the systematics of introduction and elimination rules and proofs of normalization, the categorial characterization of deductions, the relation between Heyting's and Gentzen's approaches to meaning, knowability paradoxes, proof-theoretic foundations of set theory, Dummett's justification of logical laws, Kreisel's theory of constructions, paradoxical reasoning, and the defence of model theory. The field of proof-theoretic semantics has existed for almost 50 years, but the term itself was proposed by Schroeder-Heister in the 1980s. Proof-theoretic semantics explains the meaning of linguistic expressions in general and of logical constants in particular in terms of the notion of proof. This volume emerges from presentations at the Second International Conference on Proof-Theoretic Semantics in Tübingen in 2013, where contributing authors were asked to provide a self-contained description and analysis of a significant research question in this area. The contributions are representative of the field and should be of interest to logicians, philosophers, and mathematicians alike.