The science of logic

The Project Gutenberg EBook of The Algebra of Logic, by Louis Couturat This eBook is for the use of anyone anywhere at no cost and with almost no restrictions whatsoever. You may copy it, give it away or reuse it under the terms of the Project Gutenberg License included with this eBook or online at www.gutenberg.net Title: The Algebra of Logic Author: Louis Couturat Release Date: January 26, 2004
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This volume constitutes the Proceedings of the Third International Congress for Logic, Methodology and Philosophy of Science. The Congress was held at the Grand Hotel Krasnapolsky, Amsterdam, from August 25 to September 2, 1967, under the joint of the Division of Logic, Methodology and Philosophy of Science of the International Union of History and Philosophy of Science. The Congress took place in the Netherlands at the invitation of the Nederlandse Vereniging voor Logica en Wijsbegeerte der Exacte Wet enschap pen....
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This volume constitutes the Proceedings of the 9th International Congress of Logic, Methodology and Philosophy of Science arranged by the Division of Logic, Methodology and Philosophy of Science of the International Union of History and Philosophy of Science. The logical sections of the Congress also constituted the European Logic Colloqium '91. The Congress took place in Uppsala, Sweden, from August 7 to August 14, 1991.
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Much has changed in the 3 years since the first edition of this book. The physics of heat, light, sound and energy is still the same, so there is little change in the first three parts. Apart from the correction of a few errors, a few new developments are mentioned, some new methods are included and statistics updated. Part 4 has many new elements that reflect societal changes, especially changes in public attitudes. Three years ago there were many who denied global warming or who regarded renewable energy technologies as ‘ kids ’ stuff ’. Today only a few of these survive.
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One critic, who was kind enough to look at this book in manuscript, recommended me to abandon the design of Publishing it, on the ground that my logic was too like all other logics; another suggested to me to cut out a considerable amount of new matter. The latter advice I have followed; the former has encouraged me to hope that I shall not be considered guilty of wanton innovation. The few novelties which I have ventured to retain will, I trust, be regarded as legitimate extensions of received lines of teaching. My object has been to produce a...
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Project Gutenberg’s The Mathematical Analysis of Logic, by George Boole This eBook is for the use of anyone anywhere at no cost and with almost no restrictions whatsoever. You may copy it, give it away or reuse it under the terms of the Project Gutenberg License included with this eBook or online at www.gutenberg.org Title: The Mathematical Analysis of Logic Being an Essay Towards a Calculus of Deductive Reasoning Author: George Boole Release Date: July 28, 2011
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An early definition of mathematics in terms of logic was Benjamin Peirce's "the science that draws necessary conclusions" (1870).[24] In the Principia Mathematica, Bertrand Russell and Alfred North Whitehead advanced the philosophical program known as logicism, and attempted to prove that all mathematical concepts, statements, and principles can be defined and proven entirely in terms of symbolic logic. A logicist definition of mathematics is Russell's "All Mathematics is Symbolic Logic" (1903)
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In order to synthesize automat (in this case digital counters), the minimizing internal states is of particular significance and plays a decisive role in the results of synthetic circuit. This can be done in many ways, but the use of Karnaugh map is considered optimal. However, this process has some disadvantages that it can not be overcome when the number of input variants is large. In experience, if the number of variants is 7, manual minimization of circuit functions using Karnaugh map arises many difficulties and even become impossible if over 10 variants are available.
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Chapter I. Of The Necessity Of Commencing With An Analysis Of Language. Chapter II. Of Names. Chapter III. Of The Things Denoted By Names. Chapter IV. Of Propositions. Chapter V. Of The Import Of Propositions. Chapter VI. Of Propositions Merely Verbal. Chapter VII. Of The Nature Of Classification, And The Five Predicables. Chapter VIII. Of Definition. Book II. On Reasoning. Chapter I. Of Inference, Or Reasoning, In General. Chapter II. Of Ratiocination, Or Syllogism. Chapter III. Of The Functions And Logical Value Of The Syllogism. Chapter IV.
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According to Cicero, ‘Chrysippus strains every sinew in order to persuade us that every assertible is either true or false’ ( fat x 21).¹ How did Chrysippus strain his sinews? Why did he strain them? And what exactly was he trying to persuade us of? Those are the questions which this chapter addresses. It will dawdle along the way and indulge in a number of perfectly unnecessary circumvagations.
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"There foam'd rebellious Logic, gagg'd and bound." This Game requires nine Countersfour of one colour and five of another: say four red and five grey. Besides the nine Counters, it also requires one Player, AT LEAST. I am not aware of any Game that can be played with LESS than this number: while there are several that require MORE: take Cricket, for instance, which requires twentytwo. How much easier it is, when you want to play a Game, to find ONE Player than twentytwo. At the same time, though one Player is enough, a good deal more amusement may be...
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Logic may be deﬁned as the science that evaluates arguments. All of us encounter arguments in our daytoday experience. We read them in books and newspapers, hear them on television, and formulate them when communicating with friends and associates. The aim of logic is to develop a system of methods and principles that we may use as criteria for evaluating the arguments of others and as guides in constructing arguments of our own.
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Logic (from the Greek λογική, logikē)[1] has two senses; it is the study of modes of reasoning (those which are valid, and those which are fallacious)[2][3] as well as the use of valid reasoning. In the latter sense, logic is used in most intellectual activities, including philosophy and science, but in the first sense, it is primarily studied in the disciplines of philosophy, mathematics, semantics, and computer science. It examines general forms that arguments may take. In mathematics, it is the study of valid inferences within some formal language.
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The discipline known as Mathematical Logic will not speciﬁcally be deﬁned within this text. Instead, you will study some of the concepts in this signiﬁcant discipline by actually doing mathematical logic. Thus, you will be able to surmise for yourself what the mathematical logician is attempting to accomplish. Consider the following three arguments taken from the disciplines of military science, biology, and settheory, where the symbols (a), (b), (c), (d), (e) are used only to locate speciﬁc sentences....
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We believe that learning in computer science and engineering should reflect the current state of the field, as well as introduce the principles that are shaping computing. We also feel that readers in every specialty of computing need to appreciate the organizational paradigms that determine the capabilities, performance, and, ultimately, the success of computer systems.
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The purpose of The Computer Science Handbook is to provide a single comprehensive reference for com puter scientists, software engineers, and IT professionals who wish to broaden or deepen their understand ing in a particular subﬁeld of computer science. Our goal is to provide the most current information in each of the following eleven subﬁelds in a form that is accessible to students, faculty, and professionals in computer science
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Logic for Computer Science" provides an introduction to mathematical logic, with emphasis on proof theory and procedures for constructing formal proofs of formulae algorithmically. It is designed primarily for students, computer scientists, and, more generally, for mathematically inclined readers interested in the formalization of proofs and the foundations of automatic theorem proving. Since the main emphasis of the text is on the study of proof systems and algorithmic methods for constructing proofs, it contains features rarely found in other texts on logic.
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This paper presents the experiences gained from ongoing research collaboration between the School of Computer Engineering at Nanyang Technological University and the Southampton eScience centre at the University of Southampton using a serviceoriented approach for complex engineering design optimization. The serviceoriented approach enables programmatic collaboration to be realized while maintaining the autonomy of individual codes at the different institutes and organizations. In the current work, a Genetic algorithm optimization logic implemented as a Grid...
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Public transport is a part of the contemporary urban model. In Vietnam, the bus system is reestablished a few years ago. At the same time, some maps have been published for helping the bus passengers. But these maps are still lacked of rich contents and useful functionalities. With the aim to improving the effectiveness of Hanoi public transport system, the authors have applied GIS technology for developing an information system of Hanoi bus. A logical model of the bus network consisting of 2 subnetworks and 5 cost attributes has been designed. This model serves as a basis for developing...
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The Project Gutenberg EBook of Deductive Logic, by St. George Stock Copyright laws are changing all over the world. Be sure to check the copyright laws for your country before downloading or redistributing this or any other Project Gutenberg eBook. This header should be the first thing seen when viewing this Project Gutenberg file. Please do not remove it. Do not change or edit the header without written permission. Please read the "legal small print," and other information about the eBook and Project Gutenberg at the bottom of this file....
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