How Logic Works

How Logic Works PDF

Author: Hans Halvorson

Publisher: Princeton University Press

Published: 2020-09-01

Total Pages: 256

ISBN-13: 0691208719

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A concise introduction to logic that teaches you not only how reasoning works, but why it works How Logic Works is an introductory logic textbook that is different by design. Rather than teaching elementary symbolic logic as an abstract or rote mathematical exercise divorced from ordinary thinking, Hans Halvorson presents it as the skill of clear and rigorous reasoning, which is essential in all fields and walks of life, from the sciences to the humanities—anywhere that making good arguments, and spotting bad ones, is critical to success. Instead of teaching how to apply algorithms using “truth trees,” as in the vast majority of logic textbooks, How Logic Works builds on and reinforces the innate human skills of making and evaluating arguments. It does this by introducing the methods of natural deduction, an approach that teaches students not only how to carry out a proof and solve a problem but also what the principles of valid reasoning are and how they can be applied to any subject. The book also allows students to transition smoothly to more advanced topics in logic by teaching them general techniques that apply to more complicated scenarios, such as how to formulate theories about specific subject matter. How Logic Works shows that formal logic—far from being only for mathematicians or a diversion from the really deep questions of philosophy and human life—is the best account we have of what it means to be rational. By teaching logic in a way that makes students aware of how they already use it, the book will help them to become even better thinkers. Offers a concise, readable, and user-friendly introduction to elementary symbolic logic that primarily uses natural deduction rather than algorithmic “truth trees” Draws on more than two decades’ experience teaching introductory logic to undergraduates Provides a stepping stone to more advanced topics

Logic Works

Logic Works PDF

Author: Lorne Falkenstein

Publisher: Routledge

Published: 2021-11-30

Total Pages: 666

ISBN-13: 1000451275

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Logic Works is a critical and extensive introduction to logic. It asks questions about why systems of logic are as they are, how they relate to ordinary language and ordinary reasoning, and what alternatives there might be to classical logical doctrines. The book covers classical first-order logic and alternatives, including intuitionistic, free, and many-valued logic. It also considers how logical analysis can be applied to carefully represent the reasoning employed in academic and scientific work, better understand that reasoning, and identify its hidden premises. Aiming to be as much a reference work and handbook for further, independent study as a course text, it covers more material than is typically covered in an introductory course. It also covers this material at greater length and in more depth with the purpose of making it accessible to those with no prior training in logic or formal systems. Online support material includes a detailed student solutions manual with a running commentary on all starred exercises, and a set of editable slide presentations for course lectures. Key Features Introduces an unusually broad range of topics, allowing instructors to craft courses to meet a range of various objectives Adopts a critical attitude to certain classical doctrines, exposing students to alternative ways to answer philosophical questions about logic Carefully considers the ways natural language both resists and lends itself to formalization Makes objectual semantics for quantified logic easy, with an incremental, rule-governed approach assisted by numerous simple exercises Makes important metatheoretical results accessible to introductory students through a discursive presentation of those results and by using simple case studies

Applying Logic in Chess

Applying Logic in Chess PDF

Author: Erik Kislik

Publisher: Gambit Publications

Published: 2018-05-31

Total Pages: 320

ISBN-13: 9781911465249

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One of the world's top chess trainers offers practical advice on an enormous range of topics, including computer use, preparation and psychology. Erik Kislik is originally from California and lives in Budapest, Hungary. He has worked with many leading grandmasters, including assisting World Champion Magnus Carlsen with his opening preparation.

Parenting Teens with Love & Logic

Parenting Teens with Love & Logic PDF

Author: Foster Cline

Publisher:

Published: 1992

Total Pages: 0

ISBN-13: 9780891096955

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Even those who wait at home are eager to hear all about kindergarten. The animals are in a tizzy; Tommy is missing. The dog says Tommy is gone to a place called kindergarten. ?Where is kindergarten? they exclaim. ?What will happen to Tommy there? Will he ever come back?!? Eventually Tommy bursts into the barn with tales of all he learned in kindergarten. A charming and tender story that's sure to reassure any child heading to kindergarten.

The Logic of Life

The Logic of Life PDF

Author: Tim Harford

Publisher: Anchor Canada

Published: 2009-02-24

Total Pages: 240

ISBN-13: 0307371883

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In The Logic of Life, bestselling author Tim Harford quite simply makes sense of this world. Life often seems to defy logic. The receptionist is clearly smarter than the boss who earns fifty times her salary. Arbitrary lines starkly divide the desirable districts of the city from the dangerous ones. Voters flock to the polling booths to elect candidates who’ll rip them off to favour special interests. None of it makes logical sense — or does it? Economist and acclaimed author Tim Harford thinks it does. By weaving stories from locations as diverse as a Vegas casino to a barroom speed date, Harford aims to persuade you that people are, in fact, surprisingly logical. When a street prostitute agrees to unprotected sex, or a teenage criminal embarks on a burglary — perhaps especially when a racist employer disregards a black job applicant — we would seem to be a million miles from rational behaviour. Harford shows that, discomfitingly, we are not. It turns out that the unlikeliest of people are complying with the logic of economics and responding to future costs and benefits, often without realizing it; and socially tragic outcomes can have their roots in individually rational decisions. Brilliantly reasoned, always entertaining and often provocative, The Logic of Life is a book to help you understand yourself and the world around you.

Rationality and Logic

Rationality and Logic PDF

Author: Robert Hanna

Publisher: MIT Press

Published: 2009-01-23

Total Pages: 341

ISBN-13: 0262263114

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An argument that logic is intrinsically psychological and human psychology is intrinsically logical, and that the connection between human rationality and logic is both constitutive and mutual. In Rationality and Logic, Robert Hanna argues that logic is intrinsically psychological and that human psychology is intrinsically logical. He claims that logic is cognitively constructed by rational animals (including humans) and that rational animals are essentially logical animals. In order to do so, he defends the broadly Kantian thesis that all (and only) rational animals possess an innate cognitive "logic faculty." Hanna's claims challenge the conventional philosophical wisdom that sees logic as a fully formal or "topic-neutral" science irreconcilably separate from the species- or individual-specific focus of empirical psychology.Logic and psychology went their separate ways after attacks by Frege and Husserl on logical psychologism—the explanatory reduction of logic to empirical psychology. Hanna argues, however, that—despite the fact that logical psychologism is false—there is an essential link between logic and psychology. Rational human animals constitute the basic class of cognizers or thinkers studied by cognitive psychology; given the connection between rationality and logic that Hanna claims, it follows that the nature of logic is significantly revealed to us by cognitive psychology. Hanna's proposed "logical cognitivism" has two important consequences: the recognition by logically oriented philosophers that psychologists are their colleagues in the metadiscipline of cognitive science; and radical changes in cognitive science itself. Cognitive science, Hanna argues, is not at bottom a natural science; it is both an objective or truth-oriented science and a normative human science, as is logic itself.

Pre-K Logic

Pre-K Logic PDF

Author: Kumon

Publisher: Kumon Publishing North America

Published: 2015-08

Total Pages: 0

ISBN-13: 9781941082249

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Our Thinking Skills Workbooks strengthen critical thinking skills that are crucial for your childs success in school and in life. With our effective step-by-step method and colorful, engaging activities, your child will enjoy each page as he or she builds essential skills.

Logic as a Tool

Logic as a Tool PDF

Author: Valentin Goranko

Publisher: John Wiley & Sons

Published: 2016-09-02

Total Pages: 384

ISBN-13: 1118880048

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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

Lean Logic

Lean Logic PDF

Author: David Fleming

Publisher: Chelsea Green Publishing

Published: 2016

Total Pages: 658

ISBN-13: 1603586482

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Lean Logic is David Fleming's masterpiece, the product of more than thirty years' work and a testament to the creative brilliance of one of Britain's most important intellectuals. A dictionary unlike any other, it leads readers through Fleming's stimulating exploration of fields as diverse as culture, history, science, art, logic, ethics, myth, economics, and anthropology, being made up of four hundred and four engaging essay-entries covering topics such as Boredom, Community, Debt, Growth, Harmless Lunatics, Land, Lean Thinking, Nanotechnology, Play, Religion, Spirit, Trust, and Utopia. The threads running through every entry are Fleming's deft and original analysis of how our present market-based economy is destroying the very foundations--ecological, economic, and cultural-- on which it depends, and his core focus: a compelling, grounded vision for a cohesive society that might weather the consequences. A society that provides a satisfying, culturally-rich context for lives well lived, in an economy not reliant on the impossible promise of eternal economic growth. A society worth living in. Worth fighting for. Worth contributing to. The beauty of the dictionary format is that it allows Fleming to draw connections without detracting from his in-depth exploration of each topic. Each entry carries intriguing links to other entries, inviting the enchanted reader to break free of the imposed order of a conventional book, starting where she will and following the links in the order of her choosing. In combination with Fleming's refreshing writing style and good-natured humor, it also creates a book perfectly suited to dipping in and out. The decades Fleming spent honing his life's work are evident in the lightness and mastery with which Lean Logic draws on an incredible wealth of cultural and historical learning--from Whitman to Whitefield, Dickens to Daly, Kropotkin to Kafka, Keats to Kuhn, Oakeshott to Ostrom, Jung to Jensen, Machiavelli to Mumford, Mauss to Mandelbrot, Leopold to Lakatos, Polanyi to Putnam, Nietzsche to Næss, Keynes to Kumar, Scruton to Shiva, Thoreau to Toynbee, Rabelais to Rogers, Shakespeare to Schumacher, Locke to Lovelock, Homer to Homer-Dixon--in demonstrating that many of the principles it commends have a track-record of success long pre-dating our current society. Fleming acknowledges, with honesty, the challenges ahead, but rather than inducing despair, Lean Logic is rare in its ability to inspire optimism in the creativity and intelligence of humans to nurse our ecology back to health; to rediscover the importance of place and play, of reciprocity and resilience, and of community and culture. ------ Recognizing that Lean Logic's sheer size and unusual structure could be daunting, Fleming's long-time collaborator Shaun Chamberlin has also selected and edited one of the potential pathways through the dictionary to create a second, stand-alone volume, Surviving the Future: Culture, Carnival and Capital in the Aftermath of the Market Economy. The content, rare insights, and uniquely enjoyable writing style remain Fleming's, but presented at a more accessible paperback-length and in conventional read-it-front-to-back format.

An Illustrated Book of Bad Arguments: Learn the Lost Art of Making Sense (Bad Arguments)

An Illustrated Book of Bad Arguments: Learn the Lost Art of Making Sense (Bad Arguments) PDF

Author: Ali Almossawi

Publisher: The Experiment, LLC

Published: 2014-09-23

Total Pages: 66

ISBN-13: 1615192263

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“This short book makes you smarter than 99% of the population. . . . The concepts within it will increase your company’s ‘organizational intelligence.’. . . It’s more than just a must-read, it’s a ‘have-to-read-or-you’re-fired’ book.”—Geoffrey James, INC.com From the author of An Illustrated Book of Loaded Language, here’s the antidote to fuzzy thinking, with furry animals! Have you read (or stumbled into) one too many irrational online debates? Ali Almossawi certainly had, so he wrote An Illustrated Book of Bad Arguments! This handy guide is here to bring the internet age a much-needed dose of old-school logic (really old-school, a la Aristotle). Here are cogent explanations of the straw man fallacy, the slippery slope argument, the ad hominem attack, and other common attempts at reasoning that actually fall short—plus a beautifully drawn menagerie of animals who (adorably) commit every logical faux pas. Rabbit thinks a strange light in the sky must be a UFO because no one can prove otherwise (the appeal to ignorance). And Lion doesn’t believe that gas emissions harm the planet because, if that were true, he wouldn’t like the result (the argument from consequences). Once you learn to recognize these abuses of reason, they start to crop up everywhere from congressional debate to YouTube comments—which makes this geek-chic book a must for anyone in the habit of holding opinions.