Treatise On Intuitionistic Type Theory

Download or read book Treatise on Intuitionistic Type Theory written by Johan Georg Granström and published by Springer Science & Business Media. This book was released on 2011-06-02 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intuitionistic type theory can be described, somewhat boldly, as a partial fulfillment of the dream of a universal language for science. This book expounds several aspects of intuitionistic type theory, such as the notion of set, reference vs. computation, assumption, and substitution. Moreover, the book includes philosophically relevant sections on the principle of compositionality, lingua characteristica, epistemology, propositional logic, intuitionism, and the law of excluded middle. Ample historical references are given throughout the book.

Download or read book Intuitionistic Type Theory written by Per Martin-Löf and published by . This book was released on 1984 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Epistemology, Knowledge and the Impact of Interaction written by Juan Redmond and published by Springer. This book was released on 2016-04-28 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book On the Foundations of Computing written by Giuseppe Primiero and published by . This book was released on 2020 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: "On The Foundations of Computing is a technical, historical and conceptual investigation in the three main methodological approaches to the computational sciences: mathematical, engineering and experimental. The first part of the volume explores the background behind the formal understanding of computing, originating at the end of the XIX century, and it invesitagtes the formal origins and conceptual development of the notions of computation, algorithm and program. The second part of the volume overviews the construction of physical devices to perform automated tasks and it considers associated technical and conceptual issues. We start from the design and construction of the first generation of computing machines, explore their evolution and progress in engineering (for both hardware and software), and investigate their theoretical and conceptual problems. The third part of the volume analyses the methods and principles of experimental sciences founded on computational methods. We study the use of machines to perform scientific tasks, with particular reference to computer models and simulations. Each part aims at defining a notion of computational validity according to the corresponding methodological approach"--

Download or read book HyperHumanity written by Mike Hockney and published by Magus Books. This book was released on with total page 1019 pages. Available in PDF, EPUB and Kindle. Book excerpt: Humanity is a single biological species but has split into two different mental species labelled Mythos and Logos. The Mythos species is driven by emotional stories, not by facts, evidence or rational arguments. Even scientific materialism is a Mythos – the sensory Mythos – which asserts that "rational unobservables", undetectable by the senses, simply cannot exist. The Enlightenment – the Age of Reason – was when Logos humanity came to the fore. HyperHumanity is the upgrade of Logos humanity that advocates Hyperrationalism. "Old" Humanity, stuck in its irrational Mythos past, will become extinct. The future is about the new human race – HyperHumanity. Do you belong to the Illuminated Ones, the Shining Ones, the Divine Ones, or are you on your knees to some story-book God, an irrational market or irrational devotion to your physical senses? HyperHumanity is not here to help Old Humanity. It is here to replace it! We are the true human race, that which seeks to claim its rightful prize – divinity.

Download or read book Arsyad al-Banjari’s Insights on Parallel Reasoning and Dialectic in Law written by Muhammad Iqbal and published by Springer Nature. This book was released on 2022-06-16 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an epistemological study of the great Islamic scholar of Banjarese origin, Syeikh Muhammad Arsyad al-Banjari (1710-1812) who contributed to the development of Islam in Indonesia and, in general, Southeast Asia. The work focuses on Arsyad al-Banjari’s dialectical use and understanding of qiyās or correlational inference as a model of parallel reasoning or analogy in Islamic jurisprudence. This constituted the most prominent instrument he applied in his effort of integrating Islamic law into the Banjarese society.This work studies how Arsyad al-Banjari integrates jadal theory or dialectic in Islamic jurisprudence, within his application of qiyās. The author develops a framework for qiyās which acts as the interface between jadal, dialogical logic, and Per Martin-Löf’s Constructive Type Theory (CTT). One of the epistemological results emerging from the present study is that the different forms of qiyās applied by Arsyad al-Banjari represent an innovative and sophisticated form of reasoning. The volume is divided into three parts that discuss the types of qiyās as well their dialectical and argumentative aspects, historical background and context of Banjar, and demonstrates how the theory of qiyās comes quite close to the contemporary model of parallel reasoning for sciences and mathematics developed by Paul Bartha (2010). This volume will be of interest to historians and philosophers in general, and logicians and historians of philosophy in particular.

Download or read book On Intuitionistic Fuzzy Sets Theory written by Krassimir T. Atanassov and published by Springer. This book was released on 2012-04-28 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to be a comprehensive and accurate survey of state-of-art research on intuitionistic fuzzy sets theory and could be considered a continuation and extension of the author ́s previous book on Intuitionistic Fuzzy Sets, published by Springer in 1999 (Atanassov, Krassimir T., Intuitionistic Fuzzy Sets, Studies in Fuzziness and soft computing, ISBN 978-3-7908-1228-2, 1999). Since the aforementioned book has appeared, the research activity of the author within the area of intuitionistic fuzzy sets has been expanding into many directions. The results of the author ́s most recent work covering the past 12 years as well as the newest general ideas and open problems in this field have been therefore collected in this new book.