This concept is at the root of the computational worldview, which basically says that very complex systems — the world we live in — have their beginnings in simple mathematical equations. We've lately come to understand that such an algorithm is only the start of a never-ending story — the real action occurs in the unfolding consequences of the rules. The chip-in-a-box computers so popular in our time have acted as a kind of microscope, letting us see into the secret machinery of the world. In Lifebox, Rucker uses whimsical drawings, fables, and humor to demonstrate that everything is a computation — that thoughts, computations, and physical processes are all the same. Rucker discusses the linguistic and computational advances that make this kind of "digital philosophy" possible, and explains how, like every great new principle, the computational world view contains the seeds of a next step.

    Professor Lofti Zadeh masterminded "fuzzy logic"--a way of programming computers to "make decisions" bases on imprecise data and complex situations. In "Fuzzy Logic," Daniel McNeill and Paul Freiberger relate the compelling tale of this remarkable new technology, the genius who brought it to life, and how it will soon affect the lives of every one of us.

    Harry Gensler engages students with the basics of logic through practical examples and important arguments both in the history of philosophy and from contemporary philosophy. Using simple and manageable methods for testing arguments, students are led step-by-step to master the complexities of logic.The companion LogiCola instructional program and various teaching aids (including a teacher's manual) are available from the book's website: www.routledge.com/textbooks/gensler_l...

    Topics: elimination of metaphysics, function of philosophy, nature of philosophical analysis, the a priori, truth & probability, critique of ethics & theology, self & the common world etc.IntroductionThe elimination of metaphysicsThe function of philosophy The nature of philosophical analysisThe a priori Truth & probabilityCritique of ethics & theologyThe self & the common worldSolutions of outstanding philosophical disputesIndex

    Written by the 19th-century mathematician who also gave us "Alive in Wonderland", they are among the most entertaining logical works ever written, and contain some of the most thought-provoking puzzles ever devised.

    The unique on-line grading services instantly grades solutions to hundred of computer exercises. It is specially devised to be used by philosophy instructors in a way that is useful to undergraduates of philosophy, computer science, mathematics, and linguistics.The book is a completely rewritten and much improved version of The Language of First-order Logic. Introductory material is presented in a more systematic and accessible fashion. Advanced chapters include proofs of soundness and completeness for propositional and predicate logic, as well as an accessible sketch of Godel's first incompleteness theorem. The book is appropriate for a wide range of courses, from first logic courses for undergraduates (philosophy, mathematics, and computer science) to a first graduate logic course.The package includes four pieces of software:Tarski's World 5.0, a new version of the popular program that teaches the basic first-order language and its semantics; Fitch, a natural deduction proof environment for giving and checking first-order proofs;Boole, a program that facilitates the construction and checking of truth tables and related notions (tautology, tautological consequence, etc.);Submit, a program that allows students to submit exercises done with the above programs to the Grade Grinder, the automatic grading service.Grade reports are returned to the student and, if requested, to the student's instructor, eliminating the need for tedious checking of homework. All programs are available for Windows, Macintosh and Linux systems.Instructors do not need to use the programs themselves in order to be able to take advantage of their pedagogical value. More about the software can be found at lpl.stanford.edu.The price of a new text/software package includes one Registration ID, which must be used each time work is submitted to the grading service. Once activated, the Registration ID is not transferable.

    The Third Edition has been meticulously updated and continues the successful pedagogical approach of the two previous editions, guiding students through the fundamental elements of formal deductive logic, classification and definition, fallacies, basic argument analysis, inductive generalization, statistical reasoning, and explanation.

    A handbook of the myriad ways we go about being illogical - how we deceive others and ourselves, how we think and argue in ways that are disorderly, disorganized, or irrelevant.

    Forensic Faith will help readers:understand why they have a duty to defend the truthdevelop a training strategy to master the evidence for Christianitylearn how to employ the techniques of a detective to discover new insights from God’s Wordbecome better communicators by learning the skills of professional case makersWith real-life detective stories, fascinating strategies, and biblical insights, Wallace teaches readers cold-case investigative disciplines they can apply to their Christian faith. Forensic Faith is an engaging, fresh look at what it means to be a Christian.

    It combines a thorough argument text on critical thinking, reading, writing, and research with an extensive reader on both current and timeless controversial issues. Elements of Argument presents everything students need to analyze, research, and write arguments.The clearest writing and research coverage of any argument textbook has been re-invigorated to make it even more accessible. And it now has an array of provocative new topics — all to help students stake their claim in argument.

    Pinker is the high priest of rationalism' Sunday Times'If you've ever considered taking drugs to make yourself smarter, read Rationality instead. It's cheaper, more entertaining, and more effective' Jonathan Haidt, author of The Righteous MindIn the twenty-first century, humanity is reaching new heights of scientific understanding - and at the same time appears to be losing its mind. How can a species that discovered vaccines for Covid-19 in less than a year produce so much fake news, quack cures and conspiracy theorizing?In Rationality, Pinker rejects the cynical cliché that humans are simply an irrational species - cavemen out of time fatally cursed with biases, fallacies and illusions. After all, we discovered the laws of nature, lengthened and enriched our lives and set the benchmarks for rationality itself. Instead, he explains, we think in ways that suit the low-tech contexts in which we spend most of our lives, but fail to take advantage of the powerful tools of reasoning we have built up over millennia: logic, critical thinking, probability, causal inference, and decision-making under uncertainty. These tools are not a standard part of our educational curricula, and have never been presented clearly and entertainingly in a single book - until now.Rationality matters. It leads to better choices in our lives and in the public sphere, and is the ultimate driver of social justice and moral progress. Brimming with insight and humour, Rationality will enlighten, inspire and empower.'A terrific book, much-needed for our time' Peter Singer

    The Pillars of the Community (1877) depicts a corrupt shipowner’s struggle to hide the sins of his past at the expense of another man’s reputation, while in The Wild Duck (1884) an idealist, believing he must tell the truth at any cost, destroys a family by exposing the lie behind his friend’s marriage. And Hedda Gabler (1890) portrays an unhappily married woman who is unable to break free from the conventional life she has created for herself, with tragic results for the entire family.

    With his trademark clarity and humor, Holt probes the mysteries of quantum mechanics, the quest for the foundations of mathematics, and the nature of logic and truth. Along the way, he offers intimate biographical sketches of celebrated and neglected thinkers, from the physicist Emmy Noether to the computing pioneer Alan Turing and the discoverer of fractals, Benoit Mandelbrot. Holt offers a painless and playful introduction to many of our most beautiful but least understood ideas, from Einsteinian relativity to string theory, and also invites us to consider why the greatest logician of the twentieth century believed the U.S. Constitution contained a terrible contradiction--and whether the universe truly has a future.

    Including a selection of exercises, adjusted for this edition, at the end of each chapter, it offers a new and simpler treatment of the representability of recursive functions, a traditional stumbling block for students on the way to the Godel incompleteness theorems.

    Fierce warfare. Superior pleasure. Our hearts were designed to enjoy a full and forever happiness, not the pitiful temporary pleasures for which we’re too prone to settle. Pride, envy, anger, sloth, greed, gluttony, and lust are woefully inadequate substitutes for the wonder, beauty, and affection of God. They will rob you, not ravish you. They will numb you, not heal you. They will slaughter you, not save you. Killjoys was written to lead you deeper in love with our God and further into war against your sin. The truths, warnings, and promises in these pages are meant to chart a life-giving path to greater holiness and greater joy.