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Book Logical Foundations of Mathematics for Behavioral Scientists

Download or read book Logical Foundations of Mathematics for Behavioral Scientists written by Abraham S. Luchins and published by . This book was released on 1969 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Logical Foundations of Statistical Inference

Download or read book The Logical Foundations of Statistical Inference written by Henry E. Kyburg Jr. and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Everyone knows it is easy to lie with statistics. It is important then to be able to tell a statistical lie from a valid statistical inference. It is a relatively widely accepted commonplace that our scientific knowledge is not certain and incorrigible, but merely probable, subject to refinement, modifi cation, and even overthrow. The rankest beginner at a gambling table understands that his decisions must be based on mathematical ex pectations - that is, on utilities weighted by probabilities. It is widely held that the same principles apply almost all the time in the game of life. If we turn to philosophers, or to mathematical statisticians, or to probability theorists for criteria of validity in statistical inference, for the general principles that distinguish well grounded from ill grounded generalizations and laws, or for the interpretation of that probability we must, like the gambler, take as our guide in life, we find disagreement, confusion, and frustration. We might be prepared to find disagreements on a philosophical and theoretical level (although we do not find them in the case of deductive logic) but we do not expect, and we may be surprised to find, that these theoretical disagreements lead to differences in the conclusions that are regarded as 'acceptable' in the practice of science and public affairs, and in the conduct of business.

Book The Logical Foundations of Mathematics

Download or read book The Logical Foundations of Mathematics written by William S. Hatcher and published by Elsevier. This book was released on 2014-05-09 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Logical Foundations of Mathematics offers a study of the foundations of mathematics, stressing comparisons between and critical analyses of the major non-constructive foundational systems. The position of constructivism within the spectrum of foundational philosophies is discussed, along with the exact relationship between topos theory and set theory. Comprised of eight chapters, this book begins with an introduction to first-order logic. In particular, two complete systems of axioms and rules for the first-order predicate calculus are given, one for efficiency in proving metatheorems, and the other, in a "natural deduction" style, for presenting detailed formal proofs. A somewhat novel feature of this framework is a full semantic and syntactic treatment of variable-binding term operators as primitive symbols of logic. Subsequent chapters focus on the origin of modern foundational studies; Gottlob Frege's formal system intended to serve as a foundation for mathematics and its paradoxes; the theory of types; and the Zermelo-Fraenkel set theory. David Hilbert's program and Kurt Gödel's incompleteness theorems are also examined, along with the foundational systems of W. V. Quine and the relevance of categorical algebra for foundations. This monograph will be of interest to students, teachers, practitioners, and researchers in mathematics.

Book The Logical Foundations of Cognition

Download or read book The Logical Foundations of Cognition written by John Macnamara and published by Oxford University Press. This book was released on 1994-10-13 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume examines the role of logic in cognitive psychology in light of recent developments, such as Gonzalo Reyes's new semantic theory. Chapters reveal the prospects of applying these new theories to cognitive psychology, cognitive science, linguistics, the philosophy of language and logic.

Book Intl Biblio Pol SC 1965

Download or read book Intl Biblio Pol SC 1965 written by International Committee for Social Science Information and Documentation and published by Psychology Press. This book was released on 1966 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1966. Routledge is an imprint of Taylor & Francis, an informa company.

Book Foundations for Inquiry

Download or read book Foundations for Inquiry written by Craig C. Lundberg and published by Stanford University Press. This book was released on 2005 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most books about research address the ?how to” of inquiry, rather than the ?why.” Foundations for Inquiry enlightens readers about the variety of philosophic assumptions regarding inquiry and organizational phenomena; demonstrates how these assumptions shape subsequent choices about theories; and shows how theoretical and philosophic choices consequently shape and guide the research process.

Book An Outline of Mathematical Logic

Download or read book An Outline of Mathematical Logic written by Andrzej Grzegorczyk and published by Springer. This book was released on 2011-11-25 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent years have seen the appearance of many English-language hand books of logic and numerous monographs on topical discoveries in the foundations of mathematics. These publications on the foundations of mathematics as a whole are rather difficult for the beginners or refer the reader to other handbooks and various piecemeal contribu tions and also sometimes to largely conceived "mathematical fol klore" of unpublished results. As distinct from these, the present book is as easy as possible systematic exposition of the now classical results in the foundations of mathematics. Hence the book may be useful especially for those readers who want to have all the proofs carried out in full and all the concepts explained in detail. In this sense the book is self-contained. The reader's ability to guess is not assumed, and the author's ambition was to reduce the use of such words as evident and obvious in proofs to a minimum. This is why the book, it is believed, may be helpful in teaching or learning the foundation of mathematics in those situations in which the student cannot refer to a parallel lecture on the subject. This is also the reason that I do not insert in the book the last results and the most modem and fashionable approaches to the subject, which does not enrich the essential knowledge in founda tions but can discourage the beginner by their abstract form. A. G.

Book Current Catalog

    Book Details:
  • Author : National Library of Medicine (U.S.)
  • Publisher :
  • Release : 1966
  • ISBN :
  • Pages : 1160 pages

Download or read book Current Catalog written by National Library of Medicine (U.S.) and published by . This book was released on 1966 with total page 1160 pages. Available in PDF, EPUB and Kindle. Book excerpt: First multi-year cumulation covers six years: 1965-70.

Book Studies in the Methodology and Foundations of Science

Download or read book Studies in the Methodology and Foundations of Science written by Patrick Suppes and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: The twenty-three papers collected in tbis volume represent an important part of my published work up to the date of this volume. I have not arranged the paper chronologically, but under four main headings. Part I contains five papers on methodology concerned with models and measurement in the sciences. This part also contains the first paper I published, 'A Set of Independent Axioms for Extensive Quantities', in Portugaliae Mathematica in 1951. Part 11 also is concerned with methodology and ineludes six papers on probability and utility. It is not always easy to separate papers on probability and utility from papers on measurement, because of the elose connection between the two subjects, but Artieles 6 and 8, even though they have elose relations to measurement, seem more properly to belong in Part 11, because they are concerned with substantive questions about probability and utility. The last two parts are concerned with the foundations of physics and the foundations of psychology. I have used the term foundations rather than philosophy, because the papers are mainly concerned with specific axiomatic formulations for particular parts of physics or of psychology, and it seems to me that the termfoundations more appropriately describes such constructive axiomatic ventures. Part 111 contains four papers on the foundations of physics. The first paper deals with foundations of special relativity and the last three with the role ofprobability in quantum mechanics.

Book Investigating Notions of Proof

Download or read book Investigating Notions of Proof written by Keir Finlow-Bates and published by Lulu.com. This book was released on 2009-10 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although proof is seen by most mathematicians as lying at the heart of mathematics, it is rarely explicitly taught at any point in the mathematics curriculum. This is compounded by the fact that within the mathematics and education communities there is no clear definition of or consensus on what actually constitutes proof. In this book a fallibilist approach based on the work of Imre Lakatos is adopted, and proof and proving are set within the context of a form of social knowledge in order to gain insight into the proof-activities of degree level mathematics students.

Book Abstract Set Theory

    Book Details:
  • Author : Abraham Adolf Fraenkel
  • Publisher :
  • Release : 1968
  • ISBN :
  • Pages : 297 pages

Download or read book Abstract Set Theory written by Abraham Adolf Fraenkel and published by . This book was released on 1968 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book BPY 002  LOGIC  CLASSICAL AND SYMBOLIC LOGIC

Download or read book BPY 002 LOGIC CLASSICAL AND SYMBOLIC LOGIC written by BK SAHNI and published by MeetCoogle. This book was released on 2017-08-24 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is useful for IGNOU BA PHILOSOPHY groups of students. It contains previous years solved papers that enable students learn about the subject and prepare for their examinations. A perusal of past questions papers gives an idea of the type of questions asked, the paper pattern and so on, it is for this benefit, we provide these IGNOU BPY-002 LOGIC: CLASSICAL AND SYMBOLIC LOGIC (SOLVED) …. Students are advised to refer these solutions in conjunction with their reference books. It will help you to improve your exam preparations…In this book, Detailed Explanatory Answers have been provided for the questions for Better Understanding of the Candidates. Hope you find it useful and Best of Luck for your Examination. Published by MeetCoogle

Book Philosophy of Science  Logic and Mathematics in the 20th Century

Download or read book Philosophy of Science Logic and Mathematics in the 20th Century written by Stuart G. Shanker and published by Taylor & Francis. This book was released on 2023-05-09 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: The twentieth century witnessed the birth of analytic philosophy. This volume covers some of its key movements and philosophers, including Frege and Wittgenstein's Tractatus.

Book Catalog of Copyright Entries  Third Series

Download or read book Catalog of Copyright Entries Third Series written by Library of Congress. Copyright Office and published by Copyright Office, Library of Congress. This book was released on 1968 with total page 1296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes Part 1, Number 2: Books and Pamphlets, Including Serials and Contributions to Periodicals July - December)

Book Revisiting Wertheimer s Seminars

Download or read book Revisiting Wertheimer s Seminars written by Abraham S. Luchins and published by Bucknell University Press. This book was released on 1978 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: There two volumes reconstruct the interdisciplinary seminars conducted by Max Wertheimer at the New School for Social Research during the years 1936 to 1942.

Book Computational Intelligence  Foundations And Applications   Proceedings Of The 9th International Flins Conference

Download or read book Computational Intelligence Foundations And Applications Proceedings Of The 9th International Flins Conference written by Da Ruan and published by World Scientific. This book was released on 2010-07-13 with total page 1189 pages. Available in PDF, EPUB and Kindle. Book excerpt: FLINS, originally an acronym for Fuzzy Logic and Intelligent Technologies in Nuclear Science, is now extended to Computational Intelligence for applied research. The contributions to the ninth in the series of FLINS conferences cover state-of-the-art research, development, and technology for computational intelligence systems — both from foundations and applications points-of-view.