Internal Logic

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Internal Logic
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Author : Y. Gauthier
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Internal Logic written by Y. Gauthier and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
Internal logic is the logic of content. The content is here arithmetic and the emphasis is on a constructive logic of arithmetic (arithmetical logic). Kronecker's general arithmetic of forms (polynomials) together with Fermat's infinite descent is put to use in an internal consistency proof. The view is developed in the context of a radical arithmetization of mathematics and logic and covers the many-faceted heritage of Kronecker's work, which includes not only Hilbert, but also Frege, Cantor, Dedekind, Husserl and Brouwer. The book will be of primary interest to logicians, philosophers and mathematicians interested in the foundations of mathematics and the philosophical implications of constructivist mathematics. It may also be of interest to historians, since it covers a fifty-year period, from 1880 to 1930, which has been crucial in the foundational debates and their repercussions on the contemporary scene.
The Inner Logic Of The World
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-05-18
The Inner Logic Of The World written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-18 with Philosophy categories.
Immerse yourself in the captivating world of logic and metaphysics, where profound questions about the nature of reality, thought, and existence converge. Embark on an intellectual journey that delves into the metaphysical foundations of logic, unveiling the intricate connections between our understanding of the world and the principles that govern it. Within these pages, you'll explore the fundamental laws of thought, tracing the evolution of logic from its ancient origins to its modern manifestations. Discover the diverse perspectives and schools of thought that have shaped our understanding of logical truth and the structure of reality. Grapple with the challenges posed by skepticism, paradox, and the limitations of human reason, gaining a deeper appreciation for the complexities of logical reasoning. Uncover the profound implications of logic for language, mathematics, and science, as you investigate the ways in which logical principles underpin these disciplines and enable us to construct coherent and meaningful systems of knowledge. Explore the intersection of logic and ethics, delving into the intricate relationship between logical reasoning and moral decision-making. Through this comprehensive exploration of the metaphysical foundations of logic, you'll gain a deeper understanding of the universe and your place within it. Discover the power and elegance of logic as a tool for unraveling the mysteries of existence, illuminating the complexities of human experience, and guiding us towards a more profound understanding of reality. This book is an essential resource for philosophers, logicians, mathematicians, scientists, and anyone seeking a deeper understanding of the fundamental principles that govern our world. Prepare to embark on an intellectual adventure that will challenge your assumptions, expand your perspectives, and leave you with a renewed appreciation for the beauty and power of logical thought. If you like this book, write a review on google books!
Level Design
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Author : Rudolf Kremers
language : en
Publisher: CRC Press
Release Date : 2009-10-21
Level Design written by Rudolf Kremers and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-21 with Computers categories.
Good or bad level design can make or break any game, so it is surprising how little reference material exists for level designers. Beginning level designers have a limited understanding of the tools and techniques they can use to achieve their goals, or even define them. This book is the first to use a conceptual and theoretical foundation to build
Towards An Arithmetical Logic
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Author : Yvon Gauthier
language : en
Publisher: Birkhäuser
Release Date : 2015-09-24
Towards An Arithmetical Logic written by Yvon Gauthier and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-24 with Mathematics categories.
This book offers an original contribution to the foundations of logic and mathematics and focuses on the internal logic of mathematical theories, from arithmetic or number theory to algebraic geometry. Arithmetical logic is the term used to refer to the internal logic of classical arithmetic, here called Fermat-Kronecker arithmetic and combines Fermat’s method of infinite descent with Kronecker’s general arithmetic of homogeneous polynomials. The book also includes a treatment of theories in physics and mathematical physics to underscore the role of arithmetic from a constructivist viewpoint. The scope of the work intertwines historical, mathematical, logical and philosophical dimensions in a unified critical perspective; as such, it will appeal to a broad readership from mathematicians to logicians, to philosophers interested in foundational questions. Researchers and graduate students in the fields of philosophy and mathematics will benefit from the author’s critical approach to the foundations of logic and mathematics.
Audiobooks As Artifacts
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Author : David Seinberg
language : en
Publisher: Common Ground Research Networks
Release Date : 2024-06-19
Audiobooks As Artifacts written by David Seinberg and has been published by Common Ground Research Networks this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-19 with Art categories.
Their ever-evolving popularity notwithstanding, audiobooks remain a rather undertheorized phenomenon. The prevailing handful of existing studies seem to have adopted an inherently historicist approach, which fails to identify and scrutinize their aesthetic importance. Thus, rather than regarding them as mere recorded ‘versions’ of existing literary works, this book explores them as the unique products of a hitherto undefined artistic genre. As performance-based aural artefacts, the very act of listening to them is rendered an aesthetic experience in its own right. By effectively embracing an interdisciplinary approach and introducing a set of aesthetic questions and philosophical conundrums (ignited by a paradigmatic application of the New Institutional Theory of Art), this study establishes a new aesthetic category—which, in turn, not only classifies audiobooks as artworks to all intents and purposes, but also generates the criteria and parameters for evaluating their merit. Since the proof of the proverbial pudding is purportedly in the eating, in surveying a series of concrete case studies—each highlighting different degrees of complexities—this study mainly examines first-person narratives as the most natural medium for the aesthetics of the audiobook. As such, the investigation herein provides one with comparative close listenings, appropriately analyzing and debating their aesthetic properties. Finally, in exploring what this study identifies as one’s informed intuition and its role in the craft of casting audiobooks, this study also proposes a new understating of how aesthetic appreciation works in action.
Axiomatic Theories Of Truth
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Author : Volker Halbach
language : en
Publisher: Cambridge University Press
Release Date : 2014-02-27
Axiomatic Theories Of Truth written by Volker Halbach and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-27 with Philosophy categories.
At the centre of the traditional discussion of truth is the question of how truth is defined. Recent research, especially with the development of deflationist accounts of truth, has tended to take truth as an undefined primitive notion governed by axioms, while the liar paradox and cognate paradoxes pose problems for certain seemingly natural axioms for truth. In this book, Volker Halbach examines the most important axiomatizations of truth, explores their properties and shows how the logical results impinge on the philosophical topics related to truth. In particular, he shows that the discussion on topics such as deflationism about truth depends on the solution of the paradoxes. His book is an invaluable survey of the logical background to the philosophical discussion of truth, and will be indispensable reading for any graduate or professional philosopher in theories of truth.
The Chinese Education Policy Landscape
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Author : Eryong Xue
language : en
Publisher: Springer Nature
Release Date : 2019-08-20
The Chinese Education Policy Landscape written by Eryong Xue and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-20 with Education categories.
This book examines the Chinese education policy landscape since 1978 by constructing a policy analysis tool, the “concept-added policy chain,”and discusses how to review, assess and forecast the development of that landscape, historically and contextually. In addition, it presentsseveral major historical educational policy shifts in order to explore both the internal and external rationale behind the development of aneducation policy with Chinese characteristics. It also provides a unique policy analysis tool for investigating the intricate political logics in contemporary Chinese education policy development at the macro-level, systematically and comprehensively.
Official Gazette Of The United States Patent And Trademark Office
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Author : United States. Patent and Trademark Office
language : en
Publisher:
Release Date : 2002
Official Gazette Of The United States Patent And Trademark Office written by United States. Patent and Trademark Office and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Patents categories.
Axiomatic Method And Category Theory
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Author : Andrei Rodin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-10-14
Axiomatic Method And Category Theory written by Andrei Rodin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-14 with Philosophy categories.
This volume explores the many different meanings of the notion of the axiomatic method, offering an insightful historical and philosophical discussion about how these notions changed over the millennia. The author, a well-known philosopher and historian of mathematics, first examines Euclid, who is considered the father of the axiomatic method, before moving onto Hilbert and Lawvere. He then presents a deep textual analysis of each writer and describes how their ideas are different and even how their ideas progressed over time. Next, the book explores category theory and details how it has revolutionized the notion of the axiomatic method. It considers the question of identity/equality in mathematics as well as examines the received theories of mathematical structuralism. In the end, Rodin presents a hypothetical New Axiomatic Method, which establishes closer relationships between mathematics and physics. Lawvere's axiomatization of topos theory and Voevodsky's axiomatization of higher homotopy theory exemplify a new way of axiomatic theory building, which goes beyond the classical Hilbert-style Axiomatic Method. The new notion of Axiomatic Method that emerges in categorical logic opens new possibilities for using this method in physics and other natural sciences. This volume offers readers a coherent look at the past, present and anticipated future of the Axiomatic Method.
Ignou Software Engineering Previous 10 Years Solved Papers
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Author : Manish Soni
language : en
Publisher:
Release Date : 2024-11-17
Ignou Software Engineering Previous 10 Years Solved Papers written by Manish Soni and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-17 with Study Aids categories.
Solved papers are an invaluable resource for any student. They provide insights into the patterns and types of questions asked in examinations, help you understand the depth and breadth of the curriculum, and allow you to practice with real, previously asked questions. By working through these papers, you will gain a better understanding of the exam format and can build confidence in your preparation. As, you browse through this book, you'll find solutions to questions from various software engineering courses offered by IGNOU. Our team of experienced software engineering educators and professionals has worked diligently to provide clear and accurate solutions, ensuring that you can learn not only from the questions but also from the way they are answered. Each solution is accompanied by detailed explanations to help you understand the concepts, methodologies, and best practices in software engineering. Maximizing Your Exam Success While this book is a valuable resource for your exam preparation, remember that success in your software engineering studies depends on consistent effort and a structured approach. We encourage you to: Read and understand the course materials provided by IGNOU. Attend classes, engage with your instructors, and participate in group discussions. Solve the questions on your own before reviewing the solutions in this book. Create a study plan that allows you to cover all relevant topics. Take practice tests under exam conditions to gauge your progress and identify areas that need improvement.