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New Essays on Peirce's Mathematical Philosophy by Matthew E. Moore Pdf
The inventor of pragmatism, Charles Peirce is a seminal figure in the development of modern logic. His searching investigations in the "logic of science" have profoundly influenced subsequent work in epistemology and the philosophy of science, and his semiotics has had a similar impact on the philosophy of language. By contrast, Peirce's philosophy of mathematics has received relatively little attention, despite its centrality to his thought and the depth of his insights into the perennialproblems of the subject. This book changes that. Here, philosophers look afresh at this neglected but vital dimension of Peirce's thought. The essays are wide-ranging in their coverage, with in-depth discussions of a range of topics.
Philosophy of Mathematics by Charles S. Peirce Pdf
The philosophy of mathematics plays a vital role in the mature philosophy of Charles S. Peirce. Peirce received rigorous mathematical training from his father and his philosophy carries on in decidedly mathematical and symbolic veins. For Peirce, math was a philosophical tool and many of his most productive ideas rest firmly on the foundation of mathematical principles. This volume collects Peirce's most important writings on the subject, many appearing in print for the first time. Peirce's determination to understand matter, the cosmos, and "the grand design" of the universe remain relevant for contemporary students of science, technology, and symbolic logic.
First published in 2000. This is volume VI in the VI-volume set titled Nineteenth and Twentieth Century Anglo-American Philosophy. In the essays gathered in this volume, the editors have the most developed and coherent available account of the philosophy of Charles S. Peirce, whom the leading thinkers in England, France, Germany, and Italy have placed in the forefront of the great seminal minds of recent times. The introduction is intended help the reader to concatenate the various lines of thought contained in these essays.
Bloomsbury Semiotics Volume 2: Semiotics in the Natural and Technical Sciences by Jamin Pelkey,Stéphanie Walsh Matthews Pdf
Bloomsbury Semiotics offers a state-of-the-art overview of the entire field of semiotics by revealing its influence on a wide range of disciplinary perspectives. With four volumes spanning theory, method and practice across the disciplines, this definitive reference work emphasizes and strengthens common bonds shared across intellectual cultures, and facilitates the discovery and recovery of meaning across fields. It comprises: Volume 1: History and Semiosis Volume 2: Semiotics in the Natural and Technical Sciences Volume 3: Semiotics in the Arts and Social Sciences Volume 4: Semiotic Movements Written by leading international experts, the chapters provide comprehensive overviews of the history and status of semiotic inquiry across a diverse range of traditions and disciplines. Together, they highlight key contemporary developments and debates along with ongoing research priorities. Providing the most comprehensive and united overview of the field, Bloomsbury Semiotics enables anyone, from students to seasoned practitioners, to better understand and benefit from semiotic insight and how it relates to their own area of study or research. Volume 2: Semiotics in the Natural and Technical Sciences presents the state-of-the art in semiotic approaches to disciplines ranging from mathematics and biology to neuroscience and medicine, from evolutionary linguistics and animal behaviour studies to computing, finance, law, architecture, and design. Each chapter casts a vision for future research priorities, unanswered questions, and fresh openings for semiotic participation in these and related fields.
The Oxford Handbook of Charles S. Peirce by Cornelis De Waal Pdf
"The Oxford Handbook of Charles S. Peirce brings together 35 essays on the American philosopher and polymath Charles Sanders Peirce (1839-1914) with the aim of showing how his work is still relevant today. The volume takes its cues from Peirce's work in phenomenology and normative philosophy-where the latter includes, besides aesthetics and ethics, also logic. Within the domain of logic, attention is given to his work in formal logic as well as his work in graphical or diagrammatic logic. Ample attention is given also to Peirce's pragmatism and his metaphysics. The volume further includes biographical papers as well as papers on abduction, semiotics, linguistics, physics, biology, religion, history, science, and education"--
Springer Handbook of Model-Based Science by Lorenzo Magnani,Tommaso Bertolotti Pdf
This handbook offers the first comprehensive reference guide to the interdisciplinary field of model-based reasoning. It highlights the role of models as mediators between theory and experimentation, and as educational devices, as well as their relevance in testing hypotheses and explanatory functions. The Springer Handbook merges philosophical, cognitive and epistemological perspectives on models with the more practical needs related to the application of this tool across various disciplines and practices. The result is a unique, reliable source of information that guides readers toward an understanding of different aspects of model-based science, such as the theoretical and cognitive nature of models, as well as their practical and logical aspects. The inferential role of models in hypothetical reasoning, abduction and creativity once they are constructed, adopted, and manipulated for different scientific and technological purposes is also discussed. Written by a group of internationally renowned experts in philosophy, the history of science, general epistemology, mathematics, cognitive and computer science, physics and life sciences, as well as engineering, architecture, and economics, this Handbook uses numerous diagrams, schemes and other visual representations to promote a better understanding of the concepts. This also makes it highly accessible to an audience of scholars and students with different scientific backgrounds. All in all, the Springer Handbook of Model-Based Science represents the definitive application-oriented reference guide to the interdisciplinary field of model-based reasoning.
The Prehistory of Mathematical Structuralism by Erich H. Reck,Georg Schiemer Pdf
This edited volume explores the previously underacknowledged 'pre-history' of mathematical structuralism, showing that structuralism has deep roots in the history of modern mathematics. The contributors explore this history along two distinct but interconnected dimensions. First, they reconsider the methodological contributions of major figures in the history of mathematics. Second, they re-examine a range of philosophical reflections from mathematically-inclinded philosophers like Russell, Carnap, and Quine, whose work led to profound conclusions about logical, epistemological, and metaphysic.
This book explores "real" valuation through tracing the pragmatic meanings of "mattering." Employing Peirce's overall pragmatic method and realism to understand what we mean when we say something "matters," it encourages consideration of the practices we engage in, the values attached to those practices, and their consequences.
Handbook of Cognitive Mathematics by Marcel Danesi Pdf
Cognitive mathematics provides insights into how mathematics works inside the brain and how it is interconnected with other faculties through so-called blending and other associative processes. This handbook is the first large collection of various aspects of cognitive mathematics to be amassed into a single title, covering decades of connection between mathematics and other figurative processes as they manifest themselves in language, art, and even algorithms. It will be of use to anyone working in math cognition and education, with each section of the handbook edited by an international leader in that field.
Handbook of Abductive Cognition by Lorenzo Magnani Pdf
This Handbook offers the first comprehensive reference guide to the interdisciplinary field of abductive cognition, providing readers with extensive information on the process of reasoning to hypotheses in humans, animals, and in computational machines. It highlights the role of abduction in both theory practice: in generating and testing hypotheses and explanatory functions for various purposes and as an educational device. It merges logical, cognitive, epistemological and philosophical perspectives with more practical needs relating to the application of abduction across various disciplines and practices, such as in diagnosis, creative reasoning, scientific discovery, diagrammatic and ignorance-based cognition, and adversarial strategies. It also discusses the inferential role of models in hypothetical reasoning, abduction and creativity, including the process of development, implementation and manipulation for different scientific and technological purposes. Written by a group of internationally renowned experts in philosophy, logic, general epistemology, mathematics, cognitive, and computer science, as well as life sciences, engineering, architecture, and economics, the Handbook of Abductive Cognition offers a unique reference guide for readers approaching the process of reasoning to hypotheses from different perspectives and for various theoretical and practical purposes. Numerous diagrams, schemes and other visual representations are included to promote a better understanding of the relevant concepts and to make concepts highly accessible to an audience of scholars and students with different scientific backgrounds.
Epistemology, Knowledge and the Impact of Interaction by Juan Redmond,Olga Pombo Martins,Ángel Nepomuceno Fernández Pdf
With this volume of the series Logic, Epistemology, and the Unity of Science edited by S. Rahman et al. a challenging dialogue is being continued. The series’ first volume argued that one way to recover the connections between logic, philosophy of sciences, and sciences is to acknowledge the host of alternative logics which are currently being developed. The present volume focuses on four key themes. First of all, several chapters unpack the connection between knowledge and epistemology with particular focus on the notion of knowledge as resulting from interaction. Secondly, new epistemological perspectives on linguistics, the foundations of mathematics and logic, physics, biology and law are a subject of analysis. Thirdly, several chapters are dedicated to a discussion of Constructive Type Theory and more generally of the proof-theoretical notion of meaning.Finally, the book brings together studies on the epistemic role of abduction and argumentation theory, both linked to non-monotonic approaches to the dynamics of knowledge.
Christopher Hookway presents a series of essays on the work of Charles Sanders Peirce (1839-1913), the 'founder of pragmatism' and one of the most important and original American philosophers. He illuminates how Peirce's writings on truth, science, and the nature of meaning contribute to philosophical understanding in ongoing debates.