Download or read book Introduction to Mathematical Logic written by Elliot Mendelsohn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a compact mtroduction to some of the pnncipal tOpICS of mathematical logic . In the belief that beginners should be exposed to the most natural and easiest proofs, I have used free-swinging set-theoretic methods. The significance of a demand for constructive proofs can be evaluated only after a certain amount of experience with mathematical logic has been obtained. If we are to be expelled from "Cantor's paradise" (as nonconstructive set theory was called by Hilbert), at least we should know what we are missing. The major changes in this new edition are the following. (1) In Chapter 5, Effective Computability, Turing-computabIlity IS now the central notion, and diagrams (flow-charts) are used to construct Turing machines. There are also treatments of Markov algorithms, Herbrand-Godel-computability, register machines, and random access machines. Recursion theory is gone into a little more deeply, including the s-m-n theorem, the recursion theorem, and Rice's Theorem. (2) The proofs of the Incompleteness Theorems are now based upon the Diagonalization Lemma. Lob's Theorem and its connection with Godel's Second Theorem are also studied. (3) In Chapter 2, Quantification Theory, Henkin's proof of the completeness theorem has been postponed until the reader has gained more experience in proof techniques. The exposition of the proof itself has been improved by breaking it down into smaller pieces and using the notion of a scapegoat theory. There is also an entirely new section on semantic trees.

Download or read book Foundations of the Metaphysics of Morals written by Immanuel Kant and published by . This book was released on 1949 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book International Encyclopedia of Unified Science written by Otto Neurath and published by . This book was released on 1938 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Figuring Space written by Gilles Châtelet and published by Springer. This book was released on 2010-12-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Figuring Space Gilles Châtelet seeks to capture the problem of intuition of mobility in philosophy, mathematics and physics. This he does by means of virtuality and intensive quantities (Oresme, Leibniz), wave-particle duality and perspective diagrams, philosophy of nature and Argand's and Grassman's geometric discoveries and, finally, Faraday's, Maxwell's and Hamilton's electrophilosophy. This tumultuous relationship between mathematics, physics and philosophy is presented in terms of a comparison between intuitive practices and Discursive practices. The following concepts are treated in detail: The concept of virtuality; thought experiments; diagrams; special relativity; German Naturphilosophie and `Romantic' science. Readership: The book does not require any considerable mathematical background, but it does insist that the reader quit the common instrumental conception of language. It will interest professional philosophers, mathematicians, physicists, and even younger scientists eager to understand the `unreasonable effectiveness of mathematics'.

Download or read book Philosophy of Complex Systems written by and published by Elsevier. This book was released on 2011-05-23 with total page 951 pages. Available in PDF, EPUB and Kindle. Book excerpt: The domain of nonlinear dynamical systems and its mathematical underpinnings has been developing exponentially for a century, the last 35 years seeing an outpouring of new ideas and applications and a concomitant confluence with ideas of complex systems and their applications from irreversible thermodynamics. A few examples are in meteorology, ecological dynamics, and social and economic dynamics. These new ideas have profound implications for our understanding and practice in domains involving complexity, predictability and determinism, equilibrium, control, planning, individuality, responsibility and so on.Our intention is to draw together in this volume, we believe for the first time, a comprehensive picture of the manifold philosophically interesting impacts of recent developments in understanding nonlinear systems and the unique aspects of their complexity. The book will focus specifically on the philosophical concepts, principles, judgments and problems distinctly raised by work in the domain of complex nonlinear dynamical systems, especially in recent years.-Comprehensive coverage of all main theories in the philosophy of Complex Systems -Clearly written expositions of fundamental ideas and concepts -Definitive discussions by leading researchers in the field -Summaries of leading-edge research in related fields are also included

Download or read book The Grammar of Science written by Karl Pearson and published by . This book was released on 1892 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Analysis of Evolution Information and Complexity written by Wolfgang Arendt and published by John Wiley & Sons. This book was released on 2009-07-10 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Analysis of Evolution, Information, and Complexity deals with the analysis of evolution, information and complexity. The time evolution of systems or processes is a central question in science, this text covers a broad range of problems including diffusion processes, neuronal networks, quantum theory and cosmology. Bringing together a wide collection of research in mathematics, information theory, physics and other scientific and technical areas, this new title offers elementary and thus easily accessible introductions to the various fields of research addressed in the book.

Download or read book The Nuclear Many Body Problem written by Peter Ring and published by Springer Science & Business Media. This book was released on 2004-03-25 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: Study Edition

Download or read book The Craft of Research 2nd edition written by Wayne C. Booth and published by University of Chicago Press. This book was released on 2008-04-15 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since 1995, more than 150,000 students and researchers have turned to The Craft of Research for clear and helpful guidance on how to conduct research and report it effectively . Now, master teachers Wayne C. Booth, Gregory G. Colomb, and Joseph M. Williams present a completely revised and updated version of their classic handbook. Like its predecessor, this new edition reflects the way researchers actually work: in a complex circuit of thinking, writing, revising, and rethinking. It shows how each part of this process influences the others and how a successful research report is an orchestrated conversation between a researcher and a reader. Along with many other topics, The Craft of Research explains how to build an argument that motivates readers to accept a claim; how to anticipate the reservations of thoughtful yet critical readers and to respond to them appropriately; and how to create introductions and conclusions that answer that most demanding question, "So what?" Celebrated by reviewers for its logic and clarity, this popular book retains its five-part structure. Part 1 provides an orientation to the research process and begins the discussion of what motivates researchers and their readers. Part 2 focuses on finding a topic, planning the project, and locating appropriate sources. This section is brought up to date with new information on the role of the Internet in research, including how to find and evaluate sources, avoid their misuse, and test their reliability. Part 3 explains the art of making an argument and supporting it. The authors have extensively revised this section to present the structure of an argument in clearer and more accessible terms than in the first edition. New distinctions are made among reasons, evidence, and reports of evidence. The concepts of qualifications and rebuttals are recast as acknowledgment and response. Part 4 covers drafting and revising, and offers new information on the visual representation of data. Part 5 concludes the book with an updated discussion of the ethics of research, as well as an expanded bibliography that includes many electronic sources. The new edition retains the accessibility, insights, and directness that have made The Craft of Research an indispensable guide for anyone doing research, from students in high school through advanced graduate study to businesspeople and government employees. The authors demonstrate convincingly that researching and reporting skills can be learned and used by all who undertake research projects. New to this edition: Extensive coverage of how to do research on the internet, including how to evaluate and test the reliability of sources New information on the visual representation of data Expanded bibliography with many electronic sources

Download or read book Scientific and Technical Books in Print written by and published by . This book was released on 1972 with total page 1630 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Dictionary Catalog of the Department Library written by United States. Department of the Interior. Library and published by . This book was released on with total page 842 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book American Book Publishing Record written by and published by . This book was released on 1987 with total page 1502 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Preface to Plato written by Eric A. HAVELOCK and published by Harvard University Press. This book was released on 2009-06-30 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plato's frontal attack on poetry has always been a problem for sympathetic students, who have often minimized or avoided it. Beginning with the premise that the attack must be taken seriously, Eric Havelock shows that Plato's hostility is explained by the continued domination of the poetic tradition in contemporary Greek thought. The reason for the dominance of this tradition was technological. In a nonliterate culture, stored experience necessary to cultural stability had to be preserved as poetry in order to be memorized. Plato attacks poets, particularly Homer, as the sole source of Greek moral and technical instruction-Mr. Havelock shows how the Iliad acted as an oral encyclopedia. Under the label of mimesis, Plato condemns the poetic process of emotional identification and the necessity of presenting content as a series of specific images in a continued narrative. The second part of the book discusses the Platonic Forms as an aspect of an increasingly rational culture. Literate Greece demanded, instead of poetic discourse, a vocabulary and a sentence structure both abstract and explicit in which experience could be described normatively and analytically: in short a language of ethics and science.

Download or read book On Revolution written by Hannah Arendt and published by Penguin Group. This book was released on 1963 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Cumulated Index to the Books written by and published by . This book was released on 1945 with total page 1222 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book New Technical Books written by New York Public Library and published by . This book was released on 1925 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Pure and Applied Science Books 1876 1982 written by and published by . This book was released on 1982 with total page 1380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over 220,000 entries representing some 56,000 Library of Congress subject headings. Covers all disciplines of science and technology, e.g., engineering, agriculture, and domestic arts. Also contains at least 5000 titles published before 1876. Has many applications in libraries, information centers, and other organizations concerned with scientific and technological literature. Subject index contains main listing of entries. Each entry gives cataloging as prepared by the Library of Congress. Author/title indexes.