eBook PDF Download Digital Library
Author: Octavio Paz
Publisher: Simon and Schuster
Published: 2011-09-22
Total Pages: 999
ISBN-13: 1628721715
DOWNLOAD EBOOK →Fascinated by the polarity of being, Paz has boldly attempted to write a "history of man". Unlike countless other histories that simply chronicle civilizations and cultures, Paz's work explores the human heart, the meaning of human nature, and the duality that exists within all beings.
Author: Tamar Szabó Gendler
Publisher: OUP Oxford
Published: 2013-04-25
Total Pages: 368
ISBN-13: 0191653322
DOWNLOAD EBOOK →Oxford Studies in Epistemology is a biennial publicaton which offers a regular snapshot of state-of-the-art work in this important field. Under the guidance of a distinguished editorial board composed of leading philosophers in North America, Europe and Australasia, it publishes exemplary papers in epistemology, broadly construed. Topics within its purview include: *traditional epistemological questions concerning the nature of belief, justification, and knowledge, the status of scepticism, the nature of the a priori, etc; *new developments in epistemology, including movements such as naturalized epistemology, feminist epistemology, social epistemology, and virtue epistemology, and approaches such as contextualism; *foundational questions in decision-theory; *confirmation theory and other branches of philosophy of science that bear on traditional issues in epistemology; *topics in the philosophy of perception relevant to epistemology; *topics in cognitive science, computer science, developmental, cognitive, and social psychology that bear directly on traditional epistemological questions; and *work that examines connections between epistemology and other branches of philosophy, including work on testimony and the ethics of belief. Anyone wanting to understand the latest developments at the leading edge of the discipline can start here.
Author: József Dombi
Publisher: Springer Nature
Published: 2021-04-28
Total Pages: 186
ISBN-13: 3030722805
DOWNLOAD EBOOK →The research presented in this book shows how combining deep neural networks with a special class of fuzzy logical rules and multi-criteria decision tools can make deep neural networks more interpretable – and even, in many cases, more efficient. Fuzzy logic together with multi-criteria decision-making tools provides very powerful tools for modeling human thinking. Based on their common theoretical basis, we propose a consistent framework for modeling human thinking by using the tools of all three fields: fuzzy logic, multi-criteria decision-making, and deep learning to help reduce the black-box nature of neural models; a challenge that is of vital importance to the whole research community.
Author: Ingo Glöckner
Publisher: Springer
Published: 2008-08-11
Total Pages: 467
ISBN-13: 3540325034
DOWNLOAD EBOOK →From a linguistic perspective, it is quanti?cation which makes all the di?- ence between “having no dollars” and “having a lot of dollars”. And it is the meaning of the quanti?er “most” which eventually decides if “Most Ame- cans voted Kerry” or “Most Americans voted Bush” (as it stands). Natural language(NL)quanti?erslike“all”,“almostall”,“many”etc. serveanimp- tant purpose because they permit us to speak about properties of collections, as opposed to describing speci?c individuals only; in technical terms, qu- ti?ers are a ‘second-order’ construct. Thus the quantifying statement “Most Americans voted Bush” asserts that the set of voters of George W. Bush c- prisesthemajorityofAmericans,while“Bushsneezes”onlytellsussomething about a speci?c individual. By describing collections rather than individuals, quanti?ers extend the expressive power of natural languages far beyond that of propositional logic and make them a universal communication medium. Hence language heavily depends on quantifying constructions. These often involve fuzzy concepts like “tall”, and they frequently refer to fuzzy quantities in agreement like “about ten”, “almost all”, “many” etc. In order to exploit this expressive power and make fuzzy quanti?cation available to technical applications, a number of proposals have been made how to model fuzzy quanti?ers in the framework of fuzzy set theory. These approaches usually reduce fuzzy quanti?cation to a comparison of scalar or fuzzy cardinalities [197, 132].
Author: Harris Kwong
Publisher: Open SUNY Textbooks
Published: 2015-11-06
Total Pages: 298
ISBN-13: 9781942341161
DOWNLOAD EBOOK →A Spiral Workbook for Discrete Mathematics covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions,relations, and elementary combinatorics, with an emphasis on motivation. The text explains and claries the unwritten conventions in mathematics, and guides the students through a detailed discussion on how a proof is revised from its draft to a nal polished form. Hands-on exercises help students understand a concept soon after learning it. The text adopts a spiral approach: many topics are revisited multiple times, sometimes from a dierent perspective or at a higher level of complexity, in order to slowly develop the student's problem-solving and writing skills.
Author: Oscar Levin
Publisher: Createspace Independent Publishing Platform
Published: 2018-07-30
Total Pages: 238
ISBN-13: 9781724572639
DOWNLOAD EBOOK →Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.
Author: Valentin Goranko
Publisher: John Wiley & Sons
Published: 2016-09-02
Total Pages: 384
ISBN-13: 1118880048
DOWNLOAD EBOOK →Written in a clear, precise and user-friendly style, Logic as a Tool: A Guide to Formal Logical Reasoning is intended for undergraduates in both mathematics and computer science, and will guide them to learn, understand and master the use of classical logic as a tool for doing correct reasoning. It offers a systematic and precise exposition of classical logic with many examples and exercises, and only the necessary minimum of theory. The book explains the grammar, semantics and use of classical logical languages and teaches the reader how grasp the meaning and translate them to and from natural language. It illustrates with extensive examples the use of the most popular deductive systems -- axiomatic systems, semantic tableaux, natural deduction, and resolution -- for formalising and automating logical reasoning both on propositional and on first-order level, and provides the reader with technical skills needed for practical derivations in them. Systematic guidelines are offered on how to perform logically correct and well-structured reasoning using these deductive systems and the reasoning techniques that they employ. •Concise and systematic exposition, with semi-formal but rigorous treatment of the minimum necessary theory, amply illustrated with examples •Emphasis both on conceptual understanding and on developing practical skills •Solid and balanced coverage of syntactic, semantic, and deductive aspects of logic •Includes extensive sets of exercises, many of them provided with solutions or answers •Supplemented by a website including detailed slides, additional exercises and solutions For more information browse the book's website at: https://logicasatool.wordpress.com
Author: Daniel J. Velleman
Publisher: Cambridge University Press
Published: 2006-01-16
Total Pages: 401
ISBN-13: 0521861241
DOWNLOAD EBOOK →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.
