Rethinking Logic: Logic in Relation to Mathematics, Evolution, and Method

Rethinking Logic: Logic in Relation to Mathematics, Evolution, and Method

Author: Carlo Cellucci

Publisher: Springer Science & Business Media

Published: 2013-10-09

Total Pages: 391

ISBN-13: 9400760914

DOWNLOAD EBOOK

This volume examines the limitations of mathematical logic and proposes a new approach to logic intended to overcome them. To this end, the book compares mathematical logic with earlier views of logic, both in the ancient and in the modern age, including those of Plato, Aristotle, Bacon, Descartes, Leibniz, and Kant. From the comparison it is apparent that a basic limitation of mathematical logic is that it narrows down the scope of logic confining it to the study of deduction, without providing tools for discovering anything new. As a result, mathematical logic has had little impact on scientific practice. Therefore, this volume proposes a view of logic according to which logic is intended, first of all, to provide rules of discovery, that is, non-deductive rules for finding hypotheses to solve problems. This is essential if logic is to play any relevant role in mathematics, science and even philosophy. To comply with this view of logic, this volume formulates several rules of discovery, such as induction, analogy, generalization, specialization, metaphor, metonymy, definition, and diagrams. A logic based on such rules is basically a logic of discovery, and involves a new view of the relation of logic to evolution, language, reason, method and knowledge, particularly mathematical knowledge. It also involves a new view of the relation of philosophy to knowledge. This book puts forward such new views, trying to open again many doors that the founding fathers of mathematical logic had closed historically. trigger


Wittgenstein's Notes on Logic

Wittgenstein's Notes on Logic

Author: Michael Potter

Publisher: OUP Oxford

Published: 2009-01-22

Total Pages: 336

ISBN-13: 019155068X

DOWNLOAD EBOOK

Wittgenstein's philosophical career began in 1911 when he went to Cambridge to work with Russell. He compiled the Notes on Logic two years later as a kind of summary of the work he had done so far. Russell thought that they were 'as good as anything that has ever been done in logic', but he had Wittgenstein himself to explain them to him. Without the benefit of Wittgenstein's explanations, most later scholars have preferred to treat the Notes solely as an interpretative aid in understanding the Tractatus (which draws on them for material), rather than as a philosophical work in their own right. Michael Potter unequivocally demonstrates the philosophical and historical importance of the Notes for the first time. By teasing out the meaning of key passages, he shows how many of the most important insights in the Tractatus they contain. He discusses in detail how Wittgenstein arrived at these insights by thinking through ideas he obtained from Russell and Frege. And he uses a challenging blend of biography and philosophy to illuminate the methods Wittgenstein used in his work. The book features the complete text of the Notes in a critical edition, with a detailed discussion of the circumstances in which they were compiled, leading to a new understanding of how they should be read.


Logic in Question

Logic in Question

Author: Jean-Yves Béziau

Publisher: Springer Nature

Published: 2023-01-11

Total Pages: 743

ISBN-13: 3030944522

DOWNLOAD EBOOK

This contributed volume collects papers related to the Logic in Question workshop, which has taken place annually at Sorbonne University in Paris since 2011. Each year, the workshop brings together historians, philosophers, mathematicians, linguists, and computer scientists to explore questions related to the nature of logic and how it has developed over the years. As a result, chapter authors provide a thorough, interdisciplinary exploration of topics that have been studied in the workshop. Organized into three sections, the first part of the book focuses on historical questions related to logic, the second explores philosophical questions, and the third section is dedicated to mathematical discussions. Specific topics include: • logic and analogy• Chinese logic• nineteenth century British logic (in particular Boole and Lewis Carroll)• logical diagrams • the place and value of logic in Louis Couturat’s philosophical thinking• contributions of logical analysis for mathematics education• the exceptionality of logic• the logical expressive power of natural languages• the unification of mathematics via topos theory Logic in Question will appeal to pure logicians, historians of logic, philosophers, linguists, and other researchers interested in the history of logic, making this volume a unique and valuable contribution to the field.


Visual Design Solutions

Visual Design Solutions

Author: Connie Malamed

Publisher: John Wiley & Sons

Published: 2015-03-25

Total Pages: 389

ISBN-13: 1118864042

DOWNLOAD EBOOK

Enhance learners' interest and understanding with visual design for instructional and information products No matter what medium you use to deliver content, if the visual design fails, the experience falls flat. Meaningful graphics and a compelling visual design supercharge instruction, training, and presentations, but this isn't easy to accomplish. Now you can conquer your design fears and knowledge gaps with Visual Design Solutions: a resource for learning professionals seeking to raise the bar on their graphics and visual design skills. This informal and friendly book guides you through the process and principles used by professional graphic designers. It also presents creative solutions and examples that you can start using right away. Anyone who envisions, designs, or creates instructional or informational graphics will benefit from the design strategies laid out in this comprehensive resource. Written by Connie Malamed, an art educator and instructional designer, this book will help you tap into your creativity, design with intention, and produce polished work. Whereas most graphic design books focus on logos, packaging, and brochures, Visual Design Solutions focuses on eLearning, presentations, and performance support. Visual Design Solutions includes practical guidelines for making smart design choices, ways to create professional-looking products, and principles for successful graphics that facilitate learning. Ideal for instructional designers, trainers, presenters, and professors who want to advance from haphazard to intentional design, this book will help them realize their design potential. Gain the knowledge and confidence to design impressive, effective visuals for learning Increase learner comprehension and retention with visual strategies offered by an expert author Serves as a reference and a resource, with a wealth of examples for inspiration and ideas Addresses an intimidating topic in an informal, friendly style In four parts, the book provides a thorough overview of the design process and design concepts; explores space, image, and typography; and presents workable solutions for your most persistent and puzzling design problems. Get started and begin creating captivating graphics for your learners.


Negative Hermeneutics and the Question of Practice

Negative Hermeneutics and the Question of Practice

Author: Nicholas Davey

Publisher: Bloomsbury Publishing

Published: 2023-12-28

Total Pages: 221

ISBN-13: 1350347671

DOWNLOAD EBOOK

How do words and images function hermeneutically? How does hermeneutic practice work? Answering these questions and more, Nicholas Davey develops the hermeneutical foundations of creative practice. In doing so, he not only uncovers the significance of philosophical hermeneutics for the arts and the humanities, but defends the humanities as a whole from the current scepticism inspired by deconstruction and post-structuralism. Taking Gadamer's language ontology as its cue, this pioneering volume not only addresses certain weaknesses that Davey observes in Gadamer's thought but further takes Gadamerian thinking beyond Gadamer himself. In particular, Davey investigates the productive value of negativity that is central to hermeneutics and to wider spheres of creative learning. Advocating a renewed confidence in hermeneutics and the humanities, Negative Hermeneutics and the Question of Practice reveals how hermeneutical thinking provides a map of the dynamics within creative practice, eliminating the need for an externally imposed 'theory' of the arts.


Design Elements

Design Elements

Author: Timothy Samara

Publisher: Rockport Publishers

Published: 2007-04-01

Total Pages: 273

ISBN-13: 1616736364

DOWNLOAD EBOOK

The graphic design equivalent to Strunk & White's The Elements of Style This book is simply the most compact and lucid handbook available outlining the basic principles of layout, typography, color usage, and space. Being a creative designer is often about coming up with unique design solutions. Unfortunately, when the basic rules of design are ignored in an effort to be distinctive, design becomes useless. In language, a departure from the rules is only appreciated as great literature if recognition of the rules underlies the text. Graphic design is a "visual language," and brilliance is recognized in designers whose work seems to break all the rules, yet communicates its messages clearly. This book is a fun and accessible handbook that presents the fundamentals of design in lists, tips, brief text, and examples. Chapters include Graphic Design: What It Is; What Are They and What Do They Do?; 20 Basic Rules of Good Design; Form and Space-The Basics; Color Fundamentals; Choosing and Using Type; The World of Imagery; Putting it All Together?Essential Layout Concepts; The Right Design Choices: 20 Reminders for Working Designers; and Breaking the Rules: When and Why to Challenge all the Rules of this Book.


Diagrammatic Representation and Inference

Diagrammatic Representation and Inference

Author: Gem Stapleton

Publisher: Springer Science & Business Media

Published: 2008-09-10

Total Pages: 455

ISBN-13: 3540877290

DOWNLOAD EBOOK

Diagrams is an international and interdisciplinary conference series, covering all aspects of research on the theory and application of diagrams. Recent technological advances have enabled the large-scale adoption of d- grams in a diverse range of areas. Increasingly sophisticated visual represen- tions are emerging and, to enable e?ective communication, insight is required into how diagrams are used and when they are appropriate for use. The per- sive, everyday use of diagrams for communicating information and ideas serves to illustrate the importance of providing a sound understanding of the role that diagrams can, and do, play. Research in the ?eld of diagrams aims to improve our understanding of the role of diagrams, sketches and other visualizations in communication, computation, cognition, creative thought, and problem solving. These concerns have triggered a surge of interest in the study of diagrams. The study of diagrammatic communication as a whole must be pursued as an interdisciplinary endeavour.Diagrams 2008 was the ?fth event in this conf- ence series, which was launched in Edinburghduring September 2000.Diagrams attracts a large number of researchers from virtually all related ?elds, placing the conference as a major international event in the area. Diagrams is the only conference that provides a united forum for all areas that are concerned with the study of diagrams: for example, architecture, - ti?cial intelligence, cartography, cognitive science, computer science, education, graphicdesign,historyofscience,human-computerinteraction,linguistics,logic, mathematics,philosophy,psychology,andsoftwaremodelling.Weseeissuesfrom all of these ?elds discussed in the papers collected in the present volume.


Negative Life

Negative Life

Author: Steven Swarbrick

Publisher: Northwestern University Press

Published: 2024-08-15

Total Pages: 234

ISBN-13: 081014722X

DOWNLOAD EBOOK

How films help us understand the inevitable death of Earth and humanity Negative Life: The Cinema of Extinction brings cinema studies, queer theory, and psychoanalysis into novel configuration around the concept of negative life, a sundering of human and nonhuman relations. Engaging a philosophical and cinematic corpus that rejects the pastoralism of “entanglement” or “enmeshment,” Steven Swarbrick and Jean-Thomas Tremblay counter ecocritical pieties and cut a new path for theory. They examine films by Julian Pölsler, Kelly Reichardt, Lee Isaac Chung, Mahesh Mathai, Paul Schrader, and others that exemplify the existential contradictions currently intensifying amid the sixth mass extinction. Each case study testifies formally and thematically to negative life as a structural condition of thought and film. Together, the cases reveal the unlivable dimension of life and art, where form, desire, and nonbelonging tarry with the future-oriented promise of ecostudies—where all that lives connects. Negative Life militates against this promise, showing that faith in connection is a dead end.


Diagrammatic Representation and Inference

Diagrammatic Representation and Inference

Author: Jens Lemanski

Publisher: Springer Nature

Published: 2024

Total Pages: 500

ISBN-13: 3031712919

DOWNLOAD EBOOK

This book constitutes the refereed proceedings of the 14th International Conference on the Theory and Application of Diagrams, Diagrams 2024, held in Münster, Germany, during September 27–October 1, 2024. The 17 full papers, 19 short papers and 11 papers of other types included in this book were carefully reviewed and selected from 69 submissions. They were organized in topical sections as follows: Keynote Talks; Analysis of Diagrams; Euler and Venn Diagrams; Diagrams in Logic; Diagrams and Applications; Diagram Tools; Historical Aspects of Diagrams; and Posters.