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Author: Gianluigi Oliveri
Publisher: Springer Nature
ISBN: 3030847063
Category : Science
Languages : en
Pages : 365
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Book Description
This edited collection casts light on central issues within contemporary philosophy of mathematics such as the realism/anti-realism dispute; the relationship between logic and metaphysics; and the question of whether mathematics is a science of objects or structures. The discussions offered in the papers involve an in-depth investigation of, among other things, the notions of mathematical truth, proof, and grounding; and, often, a special emphasis is placed on considerations relating to mathematical practice. A distinguishing feature of the book is the multicultural nature of the community that has produced it. Philosophers, logicians, and mathematicians have all contributed high-quality articles which will prove valuable to researchers and students alike.
Author: Gianluigi Oliveri
Publisher: Springer Nature
ISBN: 3030847063
Category : Science
Languages : en
Pages : 365
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Book Description
This edited collection casts light on central issues within contemporary philosophy of mathematics such as the realism/anti-realism dispute; the relationship between logic and metaphysics; and the question of whether mathematics is a science of objects or structures. The discussions offered in the papers involve an in-depth investigation of, among other things, the notions of mathematical truth, proof, and grounding; and, often, a special emphasis is placed on considerations relating to mathematical practice. A distinguishing feature of the book is the multicultural nature of the community that has produced it. Philosophers, logicians, and mathematicians have all contributed high-quality articles which will prove valuable to researchers and students alike.
Author: Tero Tulenheimo
Publisher: Springer
ISBN: 3319531190
Category : Philosophy
Languages : en
Pages : 217
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Book Description
This book develops a novel generalization of possible world semantics, called ‘world line semantics’, which recognizes worlds and links between world-bound objects (world lines) as mutually independent aspects of modal semantics. Addressing a wide range of questions vital for contemporary debates in logic and philosophy of language and offering new tools for theoretical linguistics and knowledge representation, the book proposes a radically new paradigm in modal semantics. This framework is motivated philosophically, viewing a structure of world lines as a precondition of modal talk. The author provides a uniform analysis of quantification over individuals (physical objects) and objects of thought (intentional objects). The semantic account of what it means to speak of intentional objects throws new light on accounts of intentionality and singular thought in the philosophy of mind and offers novel insights into the semantics of intensional transitive verbs.
Author: Greg Restall
Publisher: Routledge
ISBN: 1135111316
Category : Philosophy
Languages : en
Pages : 384
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Book Description
This book introduces an important group of logics that have come to be known under the umbrella term 'susbstructural'. Substructural logics have independently led to significant developments in philosophy, computing and linguistics. An Introduction to Substrucural Logics is the first book to systematically survey the new results and the significant impact that this class of logics has had on a wide range of fields.The following topics are covered: * Proof Theory * Propositional Structures * Frames * Decidability * Coda Both students and professors of philosophy, computing, linguistics, and mathematics will find this to be an important addition to their reading.
Author: Henry Laycock
Publisher: Oxford University Press, USA
ISBN: 0199281718
Category : Language Arts & Disciplines
Languages : en
Pages : 221
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Book Description
A picture of the world as chiefly one of discrete objects, distributed in space and time, has sometimes seemed compelling. It is however one of two main targets of Henry Laycock's book; for it is seriously incomplete. The picture, he argues, leaves no space for stuff like air and water. With discrete objects, we may always ask 'how many?', but with stuff the question has to be 'how much?' Within philosophy, stuff of certain basic kinds is central to the ancient pre-Socraticworld-view; but it also constitutes the field of modern chemistry and is a major factor in ecology.Philosophers these days, in general, are unlikely to deny that stuff exists. But they are very likely to deny that it is ('ultimately') to be contrasted with things, and it is on this account that logic and semantics figure largely in the framework of the book. Elementary logic is a logic which takes values for its variables; and these values are precisely distinct individuals or things. Existence is then symbolized in just such terms; and this, it is proposed, creates a pressure for 'reducing'stuff to things. Non-singular expressions, which include words for stuff, 'mass' nouns, and also plural nouns, are 'explicated' as semantically singular.Here then is the second target of the book. The posit that both mass and plural nouns name special categories of objects (set-theoretical 'collections' of objects in the one case, mereological 'parcels' or 'portions' of stuff in the other) represents, so Laycock urges, the imposition of an alien logic upon both the many and the much.
Author: Richard L. Tieszen
Publisher: Cambridge University Press
ISBN: 0521837820
Category : Mathematics
Languages : en
Pages : 369
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Book Description
In this 2005 book, logic, mathematical knowledge and objects are explored alongside reason and intuition in the exact sciences.
Author: Alain Badiou
Publisher: Bloomsbury Publishing
ISBN: 1350043036
Category : Philosophy
Languages : en
Pages : 599
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Book Description
Logics of Worlds is the sequel to Alain Badiou's masterpiece, Being and Event. Tackling the questions that had been left open by Being and Event, and answering many of his critics in the process, Badiou supplements his pioneering treatment of multiple being with a daring and complex theory of the worlds in which truths and subjects make their mark - what he calls a materialist dialectic. Drawing on his most ambitious philosophical predecessors - Leibniz, Kant, Hegel, Kierkegaard, Lacan, Deleuze – Badiou ends this important later work with an impassioned call to 'live for an Idea'.
Author: Ellie Ragland
Publisher: Routledge
ISBN: 1317684087
Category : Psychology
Languages : en
Pages : 185
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Book Description
Lacan postulated that the psyche can be understood by means of certain structures, which control our lives and our desires, and which operate differently at different logical moments or stages of formation. Jacques Lacan and the Logic of Structure offers us a reading of the major concepts of Lacan in terms of his later topological theory and aims to show how this was always a concern for Lacan and not only an issue in the last seminars. Ellie Ragland discusses how various stages of formation can be uncovered topologically within language itself, and operate to place certain properties – fantasy, the drive, jouissance, discourse and ethics in language itself. In this way she explores not only how language actually works in tandem with the properties, but also gives a different idea of what knowledge actually is and what implications that may have for reimagining and reworking differential/diagnostic structures. Jacques Lacan and the Logic of Structure is a compelling exponent of the innovative approaches Lacan takes to rethinking what psychoanalysis is and what it can do to enlighten psychoanalysts and treat patients. It will be essential reading to psychoanalysts, psychoanalytic psychotherapists training graduate students in the fields of film, literary, gender and cultural studies.
Author: Franz Baader
Publisher: Cambridge University Press
ISBN: 9780521781763
Category : Computers
Languages : en
Pages : 576
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Book Description
Description Logics are a family of knowledge representation languages that have been studied extensively in Artificial Intelligence over the last two decades. They are embodied in several knowledge-based systems and are used to develop various real-life applications. The Description Logic Handbook provides a thorough account of the subject, covering all aspects of research in this field, namely: theory, implementation, and applications. Its appeal will be broad, ranging from more theoretically-oriented readers, to those with more practically-oriented interests who need a sound and modern understanding of knowledge representation systems based on Description Logics. The chapters are written by some of the most prominent researchers in the field, introducing the basic technical material before taking the reader to the current state of the subject, and including comprehensive guides to the literature. In sum, the book will serve as a unique reference for the subject, and can also be used for self-study or in conjunction with Knowledge Representation and Artificial Intelligence courses.
Author: B. Jacobs
Publisher: Gulf Professional Publishing
ISBN: 9780444508539
Category : Computers
Languages : en
Pages : 784
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Book Description
This book is an attempt to give a systematic presentation of both logic and type theory from a categorical perspective, using the unifying concept of fibred category. Its intended audience consists of logicians, type theorists, category theorists and (theoretical) computer scientists.
Author: Aden Evens
Publisher: Bloomsbury Publishing
ISBN: 1472566742
Category : Philosophy
Languages : en
Pages : 193
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Book Description
Building a foundational understanding of the digital, Logic of the Digital reveals a unique digital ontology. Beginning from formal and technical characteristics, especially the binary code at the core of all digital technologies, Aden Evens traces the pathways along which the digital domain of abstract logic encounters the material, human world. How does a code using only 0s and 1s give rise to the vast range of applications and information that constitutes a great and growing portion of our world? Evens' analysis shows how any encounter between the actual and the digital must cross an ontological divide, a gap between the productive materiality of the human world and the reductive abstraction of the binary code. Logic of the Digital examines the distortions of this ontological crossing, considering the formal abstraction that persists in exemplary digital technologies and techniques such as the mouse, the Web, the graphical user interface, and the development of software. One crucial motive for this research lies in the paradoxical issue of creativity in relation to digital technologies: the ontology of abstraction leaves little room for the unpredictable or accidental that is essential to creativity, but digital technologies are nevertheless patently creative. Evens inquires into the mechanisms by which the ostensibly sterile binary code can lend itself to such fecund cultural production. Through clarification of the digital's ontological foundation, Evens points to a significant threat to creativity lurking in the nature of the digital and so generates a basis for an ethics of digital practice. Examining the bits that give the digital its ontology, exploring the potentials and limitations of programming, and using gaming as an ideal test of digital possibility, Logic of the Digital guides future practices and shapes academic research in the digital.
