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Axiomatic Formal Ontology

Axiomatic Formal Ontology PDF Author: Uwe Meixner
Publisher: Springer Science & Business Media
ISBN: 9401588678
Category : Philosophy
Languages : en
Pages : 404

Book Description
Axiomatic Formal Ontology is a fairly comprehensive systematic treatise on general metaphysics. The axiomatic method is applied throughout the book. Its main theme is the construction of a general non-set-theoretical theory of intensional entities. Other important matters discussed are the metaphysics of modality, the nature of actual existence, mereology and the taxonomy of entities.

Axiomatic Formal Ontology

Axiomatic Formal Ontology PDF Author: Uwe Meixner
Publisher: Springer Science & Business Media
ISBN: 9401588678
Category : Philosophy
Languages : en
Pages : 404

Book Description
Axiomatic Formal Ontology is a fairly comprehensive systematic treatise on general metaphysics. The axiomatic method is applied throughout the book. Its main theme is the construction of a general non-set-theoretical theory of intensional entities. Other important matters discussed are the metaphysics of modality, the nature of actual existence, mereology and the taxonomy of entities.

Formal Ontology and Conceptual Realism

Formal Ontology and Conceptual Realism PDF Author: Nino B. Cocchiarella
Publisher: Springer Science & Business Media
ISBN: 1402062044
Category : Philosophy
Languages : en
Pages : 347

Book Description
Theories about the ontological structure of the world have generally been described in informal, intuitive terms. This book offers an account of the general features and methodology of formal ontology. The book defends conceptual realism as the best system to adopt based on a logic of natural kinds. By formally reconstructing an intuitive, informal ontological scheme as a formal ontology we can better determine the consistency and adequacy of that scheme.

Fundamentals of Ontological Commitment

Fundamentals of Ontological Commitment PDF Author: Paolo Valore
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110458640
Category : Philosophy
Languages : en
Pages : 257

Book Description
Scientific literature on particular themes in ontology is extremely abundant, but it is often very hard for freshmen or sophomores to find a red thread between the various proposals. This text is an opinionated introduction, a preliminary text to research in ontology from the so called standard approach to ontological commitment, that is from the particular point of view that connects ontological questions to quantificational questions. It offers a survey of this viewpoint in ontology together with their possible applications through a broad array of examples and open problems and, at the same time, essential references to the classics of philosophy, so as to allow non-specialists to understand the terms and analysis procedures characterizing the discipline. Its result is a wide-ranging overview of the issued tackled by ontology, with a particular focus on the most relevant problems of contemporary debate (categorial taxonomies, nonexistent objects, case studies of ontological debates in specific fields of knowledge).

Formal Ontology in Information Systems

Formal Ontology in Information Systems PDF Author: R. Ferrario
Publisher: IOS Press
ISBN: 1614996601
Category : Computers
Languages : en
Pages : 392

Book Description
Ontology, originally a fundamental part of philosophical enquiry, is concerned with the analysis and categorization of what exists. The advent of complex information systems which rely on robust and coherent formal representations of their subject matter has led to a renewed focus on ontological enquiry, and the systematic study of such representations are at the center of the modern discipline of formal ontology. This is now a research focus in domains as diverse as conceptual modeling, database design, software engineering, artificial intelligence, computational linguistics, the life sciences, bioinformatics, geographic information science, knowledge engineering, information retrieval and the semantic web. This book presents the proceedings of the 9th edition of the Formal Ontology in Information Systems conference (FOIS 2016) held in Annecy, France, in July 2016. It contains the 25 full papers delivered at the conference (an acceptance rate of 30.9% for the main track), as well as the abstracts of the 3 keynotes by Gilberto Câmara, Stephen Mumford and Friederike Moltmann. The remainder of the book is divided into the sections: Foundations; Space, Time and Change; Cognition, Language and Semantics; Empiricism and Measurement; Ontology for Engineering; Biomedical Ontologies; and Ontology of Social Reality. The domains addressed by the papers include geography, biomedicine, economics, social reality and engineering, and the book will be of interest to all those working in these fields, as well as to anybody with an interest in formal ontology.

Formal Ontology

Formal Ontology PDF Author: R. Poli
Publisher: Springer Science & Business Media
ISBN: 9401587337
Category : Philosophy
Languages : en
Pages : 301

Book Description
Formal ontology combines two ideas, one originating with Husserl, the other with Frege: that of ontology of the formal aspects of all objects, irrespective of their particular nature, and ontology pursued by employing the tools of modern formal disciplines, notably logic and semantics. These two traditions have converged in recent years and this is the first collection to encompass them as a whole in a single volume. It assembles essays from authors around the world already widely known for their work in formal ontology, and illustrates that through the application of formal methods the ancient discipline of ontology may be put on a firm methodological basis. The essays not only illuminate the nature of ontology and its relation to other areas, in language, logic and everyday life, but also demonstrate that common issues from the analytical and phenomenological traditions may be discussed without ideological barriers. Audience: advanced students of and specialists in philosophy, linguistics, cognitive science, computer science, database engineering.

Axiomatic Method and Category Theory

Axiomatic Method and Category Theory PDF Author: Andrei Rodin
Publisher: Springer Science & Business Media
ISBN: 3319004042
Category : Philosophy
Languages : en
Pages : 285

Book Description
This volume explores the many different meanings of the notion of the axiomatic method, offering an insightful historical and philosophical discussion about how these notions changed over the millennia. The author, a well-known philosopher and historian of mathematics, first examines Euclid, who is considered the father of the axiomatic method, before moving onto Hilbert and Lawvere. He then presents a deep textual analysis of each writer and describes how their ideas are different and even how their ideas progressed over time. Next, the book explores category theory and details how it has revolutionized the notion of the axiomatic method. It considers the question of identity/equality in mathematics as well as examines the received theories of mathematical structuralism. In the end, Rodin presents a hypothetical New Axiomatic Method, which establishes closer relationships between mathematics and physics. Lawvere's axiomatization of topos theory and Voevodsky's axiomatization of higher homotopy theory exemplify a new way of axiomatic theory building, which goes beyond the classical Hilbert-style Axiomatic Method. The new notion of Axiomatic Method that emerges in categorical logic opens new possibilities for using this method in physics and other natural sciences. This volume offers readers a coherent look at the past, present and anticipated future of the Axiomatic Method.

Formal Ontology in Information Systems

Formal Ontology in Information Systems PDF Author: B. Brodaric
Publisher: IOS Press
ISBN: 164368129X
Category : Computers
Languages : en
Pages : 282

Book Description
FOIS is the flagship conference of the International Association for Ontology and its Applications, a non-profit organization which promotes interdisciplinary research and international collaboration at the intersection of philosophical ontology, linguistics, logic, cognitive science, and computer science, as well as in the applications of ontological analysis to conceptual modeling, knowledge engineering, knowledge management, information-systems development, library and information science, scientific research, and semantic technologies in general. This volume presents the 17 papers accepted for the 11th Formal Ontology in Information Systems conference (FOIS 2020). These papers cover a broad range of topics and are organized into 5 groups. Foundations is dedicated to the general ontological decisions providing a foundation for any ontology, both from a philosophical perspective and with an emphasis on applications. Social Entities is dedicated to the ontological analysis and formalization of various social entities, including secrets, legal theories, decisions, kinship, and cultural heritage. The papers in Intentionality and Embodiment analyze aspects of an agent's intentions, beliefs and desires, as well as the embodiment of functional relations. The section on Parts and Wholes is dedicated to mereology as well as the mereological analysis of certain types of entities (e.g., pluralities, information entities, and computer programs). Lastly, the papers in Methods are about ontology evaluation and use. Altogether, the papers reflect traditional FOIS themes with perhaps a greater emphasis on social and agent aspects, and will be of interest to all those whose work involves ontology and its applications.

Formal Ontology in Information Systems

Formal Ontology in Information Systems PDF Author: F. Neuhaus
Publisher: IOS Press
ISBN: 1643682490
Category : Computers
Languages : en
Pages : 192

Book Description
Formal Ontology in Information Systems (FOIS) is the flagship conference of the International Association for Ontology and its Applications, a non-profit organization promoting interdisciplinary research and international collaboration at the intersection of philosophical ontology, linguistics, logic, cognitive science, and computer science. This book presents the 11 papers accepted for the 12th edition of FOIS. The conference was held from 13-17 September 2021 in Bozen-Bolzano, Italy, as a hybrid event with some participants attending on-site in Bolzano and others attending virtually online. The papers are divided into 3 sections and cover a wide range of topics: (1) Foundations, addressing fundamental issues; (2) Applications and Methods, presenting novel uses, systems, tools, and approaches; and (3) Domain Ontology, describing well-formed ontologies in particular subject areas.

Badiou's Being and Event and the Mathematics of Set Theory

Badiou's Being and Event and the Mathematics of Set Theory PDF Author: Burhanuddin Baki
Publisher: Bloomsbury Publishing
ISBN: 1472578716
Category : Philosophy
Languages : en
Pages : 283

Book Description
Alain Badiou's Being and Event continues to impact philosophical investigations into the question of Being. By exploring the central role set theory plays in this influential work, Burhanuddin Baki presents the first extended study of Badiou's use of mathematics in Being and Event. Adopting a clear, straightforward approach, Baki gathers together and explains the technical details of the relevant high-level mathematics in Being and Event. He examines Badiou's philosophical framework in close detail, showing exactly how it is 'conditioned' by the technical mathematics. Clarifying the relevant details of Badiou's mathematics, Baki looks at the four core topics Badiou employs from set theory: the formal axiomatic system of ZFC; cardinal and ordinal numbers; Kurt Gödel's concept of constructability; and Cohen's technique of forcing. Baki then rebuilds Badiou's philosophical meditations in relation to their conditioning by the mathematics, paying particular attention to Cohen's forcing, which informs Badiou's analysis of the event. Providing valuable insights into Badiou's philosophy of mathematics, Badiou's Being and Event and the Mathematics of Set Theory offers an excellent commentary and a new reading of Badiou's most complex and important work.

Formal Ontology in Information Systems

Formal Ontology in Information Systems PDF Author: S. Borgo
Publisher: IOS Press
ISBN: 1614999104
Category : Computers
Languages : en
Pages : 278

Book Description
FOIS is the flagship conference of the International Association for Ontology and its Applications (IAOA). Its interdisciplinary research focus lies at the intersection of philosophical ontology, linguistics, logic, cognitive science, and computer science, as well as in the applications of ontological analysis to conceptual modeling, knowledge engineering, knowledge management, information-systems development, library and information science, scientific research, and semantic technologies in general. This volume presents the proceedings of FOIS 2018, held in Cape Town, South Africa, from 19-21 September. It was the 10th edition and 20th anniversary of the conference series. The volume contains 19 papers grouped into 4 sections: Foundations (7 papers), Agents and Properties (4 papers), Methods and Tools (4 papers), and Applications (4 papers). Regarding the applications of ontologies, a broad spectrum of areas is covered, including in particular biology and medicine, IoT, engineering and linguistics. Formal Ontology in Information Systems - Proceedings of the 10th International Conference (FOIS 2018) will be of interest to researchers from all disciplines with an interest in formal ontology.