Download or read book The Philosophical Status of Diagrams written by Mark Thomas Greaves and published by . This book was released on 1997 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Philosophical Status of Diagrams written by Mark Greaves and published by Center for the Study of Language and Information Publica Tion. This book was released on 2002 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of diagrams in logic and geometry has encountered resistance in recent years. For a proof to be valid in geometry, it must not rely on the graphical properties of a diagram. In logic, the teaching of proofs depends on sentenial representations, ideas formed as natural language sentences such as "If A is true and B is true...." No serious formal proof system is based on diagrams. This book explores the reasons why structured graphics have been largely ignored in contemporary formal theories of axiomatic systems. In particular, it elucidates the systematic forces in the intellectual history of mathematics which have driven the adoption of sentential representational styles over diagrammatic ones. In this book, the effects of historical forces on the evolution of diagrammatically-based systems of inference in logic and geometry are traced from antiquity to the early twentieth-century work of David Hilbert. From this exploration emerges an understanding that the present negative attitudes towards the use of diagrams in logic and geometry owe more to implicit appeals to their history and philosophical background than to any technical incompatibility with modern theories of logical systems.
Download or read book Thinking with Diagrams written by Alan F. Blackwell and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introductory overview of the rapid growth in interdisciplinary research into Thinking with Diagrams. Diagrammatic representations are becoming more common in everyday human experience, yet they offer unique challenges to cognitive science research. Neither linguistic nor perceptual theories are sufficient to completely explain their advantages and applications. These research challenges may be part of the reason why so many diagrams are badly designed or badly used. This is ironic when the user interfaces of computer software and the worldwide web are becoming so completely dominated by graphical and diagrammatic representations. This book includes chapters commissioned from leading researchers in the major disciplines involved in diagrams research. They review the philosophical status of diagrams, the cognitive processes involved in their application, and a range of specialist fields in which diagrams are central, including education, architectural design and visual programming languages. The result is immediately relevant to researchers in cognitive science and artificial intelligence, as well as in applied technology areas such as human-computer interaction and information design.
Download or read book Diagrammatology written by Frederik Stjernfelt and published by Springer Science & Business Media. This book was released on 2007-06-20 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diagrammatology investigates the role of diagrams for thought and knowledge. Based on the general doctrine of diagrams in Charles Peirce's mature work, Diagrammatology claims diagrams to constitute a centerpiece of epistemology. This book reflects Peirce's work on the issue in Husserl's contemporaneous doctrine of categorical intuition and charts the many unnoticed similarities between Peircean semiotics and early Husserlian phenomenology.
Download or read book The Logical Status of Diagrams written by Sun-Joo Shin and published by Cambridge University Press. This book was released on 1994 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: The validity of the transformation rules ensures that the correct application of the rules will not lead to fallacies. The book concludes with a discussion of some fundamental differences between graphical systems and linguistic systems.
Download or read book Diagrammatic Immanence written by Rocco Gangle and published by Edinburgh University Press. This book was released on 2016-08-18 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: A renewal of immanent metaphysics through diagrammatic methods and the tools of category theorySpinoza, Peirce and Deleuze are, in different ways, philosophers of immanence. Rocco Gangle addresses the methodological questions raised by a commitment to immanence in terms of how diagrams may be used both as tools and as objects of philosophical investigation. He integrates insights from Spinozist metaphysics, Peircean semiotics and Deleuzes philosophy of difference in conjunction with the formal operations of category theory. Category theory reveals deep structural connections among logic, topology and a variety of different areas of mathematics, and it provides constructive and rigorous concepts for investigating how diagrams work. Gangle introduces the methods of category theory from a philosophical and diagrammatic perspective, allowing philosophers with little or no mathematical training to come to grips with this important field. This coordination of immanent metaphysics, diagrammatic method and category theoretical mathematics opens a new horizon for contemporary thought.
Download or read book The Philosophical Status of Diagrams written by Mark Greaves and published by Stanford Univ Center for the Study. This book was released on 2002 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of diagrams in logic and geometry has encountered resistance in recent years. For a proof to be valid in geometry, it must not rely on the graphical properties of a diagram. In logic, the teaching of proofs depends on sentenial representations, ideas formed as natural language sentences such as "If A is true and B is true...." No serious formal proof system is based on diagrams. This book explores the reasons why structured graphics have been largely ignored in contemporary formal theories of axiomatic systems. In particular, it elucidates the systematic forces in the intellectual history of mathematics which have driven the adoption of sentential representational styles over diagrammatic ones. In this book, the effects of historical forces on the evolution of diagrammatically-based systems of inference in logic and geometry are traced from antiquity to the early twentieth-century work of David Hilbert. From this exploration emerges an understanding that the present negative attitudes towards the use of diagrams in logic and geometry owe more to implicit appeals to their history and philosophical background than to any technical incompatibility with modern theories of logical systems.
Download or read book Visual Thinking in Mathematics written by Marcus Giaquinto and published by Oxford University Press. This book was released on 2007-07-05 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing from philosophical work on the nature of concepts and from empirical studies of visual perception, mental imagery, and numerical cognition, Giaquinto explores a major source of our grasp of mathematics, using examples from basic geometry, arithmetic, algebra, and real analysis.
Download or read book Charts of Philosophy and Philosophers written by Craig Vincent Mitchell and published by HarperCollins Christian Publishing. This book was released on 2007 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Following the helpful visual format of the popilar Zondervan Charts series, Chars of Philosophy and Philosophers provides an in-depth survey of philosophy--its ideas, movements, history, and thinkers." -- Back Cover
Download or read book The Culture of Diagram written by John Bender and published by Stanford University Press. This book was released on 2010-01-20 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book defines diagrams as tools manipulated by users to produce new kinds of understanding and demonstrates that a modern diagrammatic knowledge emerged in eighteenth-century visual culture to become the foundation of later nineteenth-century science.
Download or read book Thinking with Diagrams written by Sybille Krämer and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-07-11 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diagrammatic reasoning is crucial for human cognition. It is hard to think of any forms of science or knowledge without the "intermediary world" of diagrams and diagrammatic representation in thought experiments and/or processes, manifested in forms as divers as notes, tables, schemata, graphs, drawings and maps. Despite their phenomenological and structural-functional differences, these forms of representation share a number of important attributes and epistemic functions. Combining aspects of linguistic and pictorial symbolism, diagrams go beyond the traditional distinction between language and image. They do not only represent, yet intervene in what is represented. Their spatiality, materiality and operativity establish a dynamic tool to exteriorize thinking, thus contributing to the idea of the extended mind. They foster imagination and problem solving, facilitate orientation in knowledge spaces and the discovery of unsuspected relationships. How can the diagrammatic nature of cognitive and knowledge practices be theorized historically as well as systematically? This is what this volume explores by investigating the semiotic dimension of diagrams as to knowledge, information and reasoning, e.g., the 'thing-ness' of diagrams in the history of art, the range of diagrammatic reasoning in logic, mathematics, philosophy and the sciences in general, including the knowledge function of maps.
Download or read book Handbook of Philosophical Logic written by Dov M. Gabbay and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is with great pleasure that we are presenting to the community the second edition of this extraordinary handbook. It has been over 15 years since the publication of the first edition and there have been great changes in the landscape of philosophical logic since then. The first edition has proved invaluable to generations of students and researchers in formal philosophy and language, as well as to consumers of logic in many applied areas. The main logic artiele in the Encyelopaedia Britannica 1999 has described the first edition as 'the best starting point for exploring any of the topics in logic'. We are confident that the second edition will prove to be just as good. ! The first edition was the second handbook published for the logic commu nity. It followed the North Holland one volume Handbook 0/ Mathematical Logic, published in 1977, edited by the late Jon Barwise. The four volume Handbook 0/ Philosophical Logic, published 1983-1989 came at a fortunate temporal junction at the evolution of logic. This was the time when logic was gaining ground in computer science and artificial intelligence cireles. These areas were under increasing commercial press ure to provide devices which help andjor replace the human in his daily activity. This pressure required the use of logic in the modelling of human activity and organisa tion on the one hand and to provide the theoretical basis for the computer program constructs on the other.
Download or read book Deleuze and the Diagram written by Jakub Zdebik and published by A&C Black. This book was released on 2012-05-17 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: An examination of Deleuze's notion of the diagram from philosophical and aesthetic perspectives that develops the concept into a critical touchstone for contemporary multidisciplinary art.
Download or read book Post Continental Philosophy written by John Mullarkey and published by A&C Black. This book was released on 2006-01-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Post-Continental Philosophy outlines the shift in Continental thought over the last 20 years through the work of four central figures: Gilles Deleuze, Alain Badiou, Michel Henry, and François Laruelle. Though they follow seemingly different methodologies and agendas, each insists on the need for a return to the category of immanence if philosophy is to have any future at all. Rejecting both the German phenomenological tradition of transcendence (of the Ego, Being, Consciousness, Alterity, or Flesh), as well as the French Structuralist valorisation of Language, they instead take the immanent categories of biology (Deleuze), mathematics (Badiou), affectivity (Henry), and axiomatic science (Laruelle) as focal points for a renewal of thought. Consequently, Continental philosophy is taken in a new direction that engages science and nature with a refreshingly critical and non-reductive approach to life, set-theory, embodiment, and knowledge. However, each of these new philosophies of immanence still regards what the other is doing as transcendent representation, raising the question of what this return to immanence really means. John Mullarkey's analysis provides a startling answer. By teasing out their internal differences, he discovers that the only thing that can be said of immanence without falling back into transcendent representation seems not to be a saying at all but a 'showing', a depiction through lines. Because each of these philosophies also places a special value on the diagram, the common ground of immanence is that occupied by the philosophical diagram rather than the word. The heavily illustrated final chapter of the book literally outlines how a mode of philosophical discourse might proceed when using diagrams to think immanence.
Download or read book Figuring It Out written by George Englebretsen and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-11-18 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many systems of logic diagrams have been offered both historically and more recently. Each of them has clear limitations. An original alternative system is offered here. It is simpler, more natural, and more expressively and inferentially powerful. It can be used to analyze not only syllogisms but arguments involving relational terms and unanalyzed statement terms.
Download or read book The Aristotelian Mechanics written by Joyce van Leeuwen and published by Springer. This book was released on 2016-03-17 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the transmission processes of the Aristotelian Mechanics. It does so to enable readers to appreciate the value of the treatise based on solid knowledge of the principles of the text. In addition, the book’s critical examination helps clear up many of the current misunderstandings about the transmission of the text and the diagrams. The first part of the book sets out the Greek manuscript tradition of the Mechanics, resulting in a newly established stemma codicum that illustrates the affiliations of the manuscripts. This research has led to new insights into the transmission of the treatise, most importantly, it also demonstrates an urgent need for a new text. A first critical edition of the diagrams contained in the Greek manuscripts of the treatise is also presented. These diagrams are not only significant for a reconstruction of the text but can also be considered as a commentary on the text. Diagrams are thus revealed to be a powerful tool in studying processes of the transfer and transformation of knowledge. This becomes especially relevant when the manuscript diagrams are compared with those in the printed editions and in commentaries from the early modern period. The final part of the book shows that these early modern diagrams and images reflect the altered scope of the mechanical discipline in the sixteenth century.
Download or read book Thinking Allegory Otherwise written by Brenda Machosky and published by Stanford University Press. This book was released on 2010 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Thinking Allegory Otherwise is a unique collection of essays by allegory specialists and other scholars who engage allegory in exciting new ways." "Not limited to an examination of literary texts and works of art, the essays focus on a wide range of topics, including architecture, philosophy, theater, science, and law. Indeed, all language is allegorical. This collection proves the truth of this statement, but more importantly, it shows the consequences of it. To think allegory otherwise is to think otherwise-forcing us to rethink not only the idea of allegory itself, but also the law and its execution, the literality offigurative abstraction, and the figurations upon which even hard science depends." --Book Jacket.
