Discovery of Deduction PDF Download

Author:
Publisher:
ISBN: 9781600510342
Category : Philosophy
Languages : en
Pages :

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Author: Joelle Hodge
Publisher:
ISBN: 9781600510335
Category : Juvenile Nonfiction
Languages : en
Pages : 0

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Provides an introduction to formal, deductive logic using Socratic dialogue and discussion.

Author: Karl Popper
Publisher: Routledge
ISBN: 1134470029
Category : Philosophy
Languages : en
Pages : 545

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Described by the philosopher A.J. Ayer as a work of 'great originality and power', this book revolutionized contemporary thinking on science and knowledge. Ideas such as the now legendary doctrine of 'falsificationism' electrified the scientific community, influencing even working scientists, as well as post-war philosophy. This astonishing work ranks alongside The Open Society and Its Enemies as one of Popper's most enduring books and contains insights and arguments that demand to be read to this day.

Author: Aaron Larsen
Publisher:
ISBN: 9781600510182
Category : Fallacies (Logic)
Languages : en
Pages : 0

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Junior high aged students will argue (and sometimes quarrel), but they won't argue well without good training. Young teens are also targeted by advertisers with a vengeance. From billboards to commercials to a walk down the mall, fallacious arguments are everywhere you look. The Art of Argument was designed to teach the argumentative adolescent how to reason with clarity, relevance and purpose at a time when he has a penchant for the why and how. It is designed to equip and sharpen young minds as they live, play, and grow in this highly commercial culture. This course teaches students to recognize and identify twenty-eight informal fallacies, and the eye-catching text includes over sixty slick and clever, ?phony advertisements? for items from blue jeans to pick-up trucks, which apply the fallacies to a myriad of real life situations.

Author: Rolf Socher-Ambrosius
Publisher: Springer Science & Business Media
ISBN: 1461222664
Category : Computers
Languages : en
Pages : 218

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The idea of mechanizing deductive reasoning can be traced all the way back to Leibniz, who proposed the development of a rational calculus for this purpose. But it was not until the appearance of Frege's 1879 Begriffsschrift-"not only the direct ancestor of contemporary systems of mathematical logic, but also the ancestor of all formal languages, including computer programming languages" ([Dav83])-that the fundamental concepts of modern mathematical logic were developed. Whitehead and Russell showed in their Principia Mathematica that the entirety of classical mathematics can be developed within the framework of a formal calculus, and in 1930, Skolem, Herbrand, and Godel demonstrated that the first-order predicate calculus (which is such a calculus) is complete, i. e. , that every valid formula in the language of the predicate calculus is derivable from its axioms. Skolem, Herbrand, and GOdel further proved that in order to mechanize reasoning within the predicate calculus, it suffices to Herbrand consider only interpretations of formulae over their associated universes. We will see that the upshot of this discovery is that the validity of a formula in the predicate calculus can be deduced from the structure of its constituents, so that a machine might perform the logical inferences required to determine its validity. With the advent of computers in the 1950s there developed an interest in automatic theorem proving.

Author: Charles A. Whitney
Publisher: Knopf
ISBN: 0307817091
Category : Science
Languages : en
Pages : 412

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This is a book about the mystery and the passion, the imagination, religion, and poetry, the philosophy, the intellectual flights—and, above all, the people—that have created the science of astronomy, from Thales of Miletus predicting eclipses in the sixth century B.C. to today’s scientists probing the cosmic significance of the mysterious “black holes” discovered in 1970. With authority and charm, the distinguished Harvard astronomer Charles A. Whitney here re-creates the lives and temperaments of the great astronomers and retraces the ingenious arguments, the feats of observation and deduction, and the leaps of intuition by which they have gradually unveiled a picture of the universe and have brought us to an understanding of our own planet’s place in it. Among them: KEPLER, searching the solar system for visible evidence of the transcendent order he believed in GALILEO, constructing the first telescope and proposing the concept of universal gravitation NEWTON, paragon of logic, paradoxically driven by an unshakable belief in himself as God’s appointed prophet to create a world of mathematical certainty and thus expose the wonder of his Father in Heaven WILLIAM HERSCHEL, the nineteenth-century German who may well be considered the father of modern astronomy, first man to chart the nebulae EDWIN HUBBLE, in the present century, discovering and exploring galaxies beyond our own Finally, Professor Whitney makes clear for the layman the fascinating problems astronomers wrestle with today: the mysterious nature of quasars, strange cosmic bodies discovered in 1963; the unknown forces behind cataclysmic explosions recently glimpsed in other galaxies; the elusive nature of “interstellar dust”; the eternal question of how it all began.

Author: P.D. Magnus
Publisher: Good Press
ISBN:
Category : Philosophy
Languages : en
Pages : 162

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Forallx is an introduction to sentential logic and first-order predicate logic with identity, logical systems that significantly influenced twentieth-century analytic philosophy. After working through the material in this book, a student should be able to understand most quantified expressions that arise in their philosophical reading. This book treats symbolization, formal semantics, and proof theory for each language. The discussion of formal semantics is more direct than in many introductory texts. Although forall x does not contain proofs of soundness and completeness, it lays the groundwork for understanding why these are things that need to be proven. Contents: What is logic? Sentential logic Truth tables Quanti ed logic Formal semantics Proofs Other symbolic notation Solutions to selected exercises

Author: Shelly Johnson
Publisher:
ISBN: 9781600510267
Category : Language Arts & Disciplines
Languages : en
Pages : 0

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The argument builder will train you to build compelling and persuasive arguments, through a blend of logic and rhetoric. You will first study the logical structure of good, clear arguments. Then, you will study how to use the various elements of argumentation, such as examples, analogy, comparison, testimony, and statistics, combining them to construct your own sound and effective arguments. You will also learn about the fallacies often committed when using these elements and how to avoid them in your own arguments.

Author: Reviel Netz
Publisher: Cambridge University Press
ISBN: 9780521541206
Category : History
Languages : en
Pages : 356

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Book Description
The aim of this book is to explain the shape of Greek mathematical thinking. It can be read on three levels: as a description of the practices of Greek mathematics; as a theory of the emergence of the deductive method; and as a case-study for a general view on the history of science. The starting point for the enquiry is geometry and the lettered diagram. Reviel Netz exploits the mathematicians' practices in the construction and lettering of their diagrams, and the continuing interaction between text and diagram in their proofs, to illuminate the underlying cognitive processes. A close examination of the mathematical use of language follows, especially mathematicians' use of repeated formulae. Two crucial chapters set out to show how mathematical proofs are structured and explain why Greek mathematical practice manages to be so satisfactory. A final chapter looks into the broader historical setting of Greek mathematical practice.

Author: Peter Smith
Publisher: Cambridge University Press
ISBN: 9780521008044
Category : Mathematics
Languages : en
Pages : 370

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Book Description
Formal logic provides us with a powerful set of techniques for criticizing some arguments and showing others to be valid. These techniques are relevant to all of us with an interest in being skilful and accurate reasoners. In this highly accessible book, Peter Smith presents a guide to the fundamental aims and basic elements of formal logic. He introduces the reader to the languages of propositional and predicate logic, and then develops formal systems for evaluating arguments translated into these languages, concentrating on the easily comprehensible 'tree' method. His discussion is richly illustrated with worked examples and exercises. A distinctive feature is that, alongside the formal work, there is illuminating philosophical commentary. This book will make an ideal text for a first logic course, and will provide a firm basis for further work in formal and philosophical logic.