Truth Through Proof
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Book Of Proof
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Author : Richard H. Hammack
language : en
Publisher:
Release Date : 2013-05
Book Of Proof written by Richard H. Hammack and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05 with Mathematics categories.
This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.
Evidence Matters
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Author : Susan Haack
language : en
Publisher: Cambridge University Press
Release Date : 2014-07-28
Evidence Matters written by Susan Haack 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 2014-07-28 with Law categories.
Susan Haack brings her distinctive work in theory of knowledge and philosophy of science to bear on real-life legal issues.
Realizing Reason
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Author : Danielle Macbeth
language : en
Publisher:
Release Date : 2014-03
Realizing Reason written by Danielle Macbeth and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03 with Mathematics categories.
Danielle Macbeth offers a new account of mathematical practice as a mode of inquiry into objective truth, and argues that understanding the nature of mathematical practice provides us with the resources to develop a radically new conception of ourselves and our capacity for knowledge of objective truth.
Logic
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Author : Nicholas J.J. Smith
language : en
Publisher: Princeton University Press
Release Date : 2012-04-01
Logic written by Nicholas J.J. Smith and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-01 with Philosophy categories.
Logic is essential to correct reasoning and also has important theoretical applications in philosophy, computer science, linguistics, and mathematics. This book provides an exceptionally clear introduction to classical logic, with a unique approach that emphasizes both the hows and whys of logic. Here Nicholas Smith thoroughly covers the formal tools and techniques of logic while also imparting a deeper understanding of their underlying rationales and broader philosophical significance. In addition, this is the only introduction to logic available today that presents all the major forms of proof--trees, natural deduction in all its major variants, axiomatic proofs, and sequent calculus. The book also features numerous exercises, with solutions available on an accompanying website. Logic is the ideal textbook for undergraduates and graduate students seeking a comprehensive and accessible introduction to the subject. Provides an essential introduction to classical logic Emphasizes the how and why of logic Covers both formal and philosophical issues Presents all the major forms of proof--from trees to sequent calculus Features numerous exercises, with solutions available at http://njjsmith.com/philosophy/lawsoftruth/ The ideal textbook for undergraduates and graduate students
How To Prove It
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Author : Daniel J. Velleman
language : en
Publisher: Cambridge University Press
Release Date : 2006-01-16
How To Prove It written by Daniel J. Velleman 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 2006-01-16 with Mathematics categories.
Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.
An Introduction To Mathematical Logic And Type Theory
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Author : Peter B. Andrews
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
An Introduction To Mathematical Logic And Type Theory written by Peter B. Andrews 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 2013-04-17 with Mathematics categories.
In case you are considering to adopt this book for courses with over 50 students, please contact [email protected] for more information. This introduction to mathematical logic starts with propositional calculus and first-order logic. Topics covered include syntax, semantics, soundness, completeness, independence, normal forms, vertical paths through negation normal formulas, compactness, Smullyan's Unifying Principle, natural deduction, cut-elimination, semantic tableaux, Skolemization, Herbrand's Theorem, unification, duality, interpolation, and definability. The last three chapters of the book provide an introduction to type theory (higher-order logic). It is shown how various mathematical concepts can be formalized in this very expressive formal language. This expressive notation facilitates proofs of the classical incompleteness and undecidability theorems which are very elegant and easy to understand. The discussion of semantics makes clear the important distinction between standard and nonstandard models which is so important in understanding puzzling phenomena such as the incompleteness theorems and Skolem's Paradox about countable models of set theory. Some of the numerous exercises require giving formal proofs. A computer program called ETPS which is available from the web facilitates doing and checking such exercises. Audience: This volume will be of interest to mathematicians, computer scientists, and philosophers in universities, as well as to computer scientists in industry who wish to use higher-order logic for hardware and software specification and verification.
Principia Mathematica
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Author : Alfred North Whitehead
language : en
Publisher: Cambridge University Press
Release Date : 1927
Principia Mathematica written by Alfred North Whitehead 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 1927 with Mathematics categories.
The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.
Lectures On The Proofs Of The Existence Of God
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Author : G. W. F. Hegel
language : en
Publisher: Good Press
Release Date : 2021-04-10
Lectures On The Proofs Of The Existence Of God written by G. W. F. Hegel and has been published by Good Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-10 with Philosophy categories.
In "Lectures on the Proofs of the Existence of God," G. W. F. Hegel meticulously examines traditional and contemporary arguments for the existence of a divine being, weaving them into a robust philosophical narrative that reflects his dialectical method. The text navigates through metaphysical inquiries, offering a critical synthesis of theistic proofs ranging from cosmological to ontological arguments, presented in a clear, engaging style. Set against the backdrop of 19th-century German idealism, Hegel's lectures not only provide an extensive philosophical discourse but also invite readers to grapple with the complexities of faith and reason within the modern context. G. W. F. Hegel, a pivotal figure in German philosophy, was deeply influenced by the tumultuous intellectual climate of his time, as well as his engagement with Kantian philosophy and the works of Spinoza and Schelling. His religious background and personal struggles with faith profoundly shaped Hegel's inquiry into the existence of God, rendering his exploration both poignant and rigorously systematic. These elements contribute to a foundational comprehension of Hegel's thoughts on divinity, which not only reflects his philosophical evolution but also offers insights into the nature of belief itself. "Lectures on the Proofs of the Existence of God" is an essential read for anyone interested in the intersection of philosophy and theology. Hegel's work challenges readers to reconsider their own presuppositions regarding faith and existence, making it a vital contribution to the ongoing dialogue surrounding divinity. Engaging deeply with Hegel'Äôs arguments enhances not only one'Äôs understanding of his philosophical system but also encourages a broader reflection on the existence and nature of God.
Disease Proof
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Author : David L. Katz, M.D.
language : en
Publisher: Penguin
Release Date : 2013-09-26
Disease Proof written by David L. Katz, M.D. and has been published by Penguin this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-26 with Health & Fitness categories.
“If you want to build better health and a better future, this book makes an excellent tool kit.”—David A. Kessler, MD, author of The End of Overeating and former commissioner of the FDA It sometimes seems as if everyone around us is being diagnosed with a chronic illness—and that we might soon join them. In Disease-Proof, leading specialist in preventive medicine Dr. David Katz draws upon the latest scientific evidence and decades of clinical experience to explain how we can slash our risk of every major chronic disease—heart disease, cancer, stroke, diabetes, dementia, and obesity—by an astounding 80%. Dr. Katz arms us with skillpower: a proven, user-friendly set of tools that helps us make simple behavioral changes that have a tremendous effect on our health and well-being. Inspiring, groundbreaking, and prescriptive, Disease-Proof proves making lasting lifestyle changes is easier than we think.
The Epistemic Lightness Of Truth
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Author : Cezary Cieśliński
language : en
Publisher: Cambridge University Press
Release Date : 2017-12-07
The Epistemic Lightness Of Truth written by Cezary Cieśliński 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 2017-12-07 with Philosophy categories.
This volume explores the deflationary claim of the innocence of truth, taking into account recent results on axiomatic truth theories.