A Friendly Introduction to Mathematical Logic

A Friendly Introduction to Mathematical Logic
Author: Christopher C. Leary
Publisher: Lulu.com
Total Pages: 382
Release: 2015
Genre: Computers
ISBN: 1942341075

At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this expansion of Leary's user-friendly 1st edition, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study. Updating the 1st Edition's treatment of languages, structures, and deductions, leading to rigorous proofs of Gödel's First and Second Incompleteness Theorems, the expanded 2nd Edition includes a new introduction to incompleteness through computability as well as solutions to selected exercises.

The Philosopher's Book of Questions & Answers

The Philosopher's Book of Questions & Answers
Author: D.E. Wittkower
Publisher: Simon and Schuster
Total Pages: 241
Release: 2013-04-18
Genre: Philosophy
ISBN: 1440558876

Your life through the lens of the world's greatest thinkers! Do you ever wonder how important money really is in life or what you need to do to achieve happiness? With The Philosopher's Book of Questions and Answers, you will be one step closer to solving these uncertainties. Inside, you'll find the basics of philosophy, written in plain English, and thoughts for applying these important theories to your own life. You'll also be encouraged to dig deep into the philosophical reasoning behind your everyday actions with a series of fascinating prompts, such as: If you had ten times your wealth and ten times your income, what would you do then that you can't do now? What's a version of that activity that you could do right now? Is it ten times less meaningful, important, or enjoyable than the activity you would do with more money? From Socrates and Epicurean to Kierkegaard and Nietzsche, The Philosopher's Book of Questions and Answers will not only help you grasp history's greatest thoughts, but will also unveil the world in a whole new light.

Logically Fallacious

Logically Fallacious
Author: Bo Bennett
Publisher: eBookIt.com
Total Pages: 429
Release: 2012-02-19
Genre: Education
ISBN: 1456607375

This book is a crash course in effective reasoning, meant to catapult you into a world where you start to see things how they really are, not how you think they are. The focus of this book is on logical fallacies, which loosely defined, are simply errors in reasoning. With the reading of each page, you can make significant improvements in the way you reason and make decisions. Logically Fallacious is one of the most comprehensive collections of logical fallacies with all original examples and easy to understand descriptions, perfect for educators, debaters, or anyone who wants to improve his or her reasoning skills. "Expose an irrational belief, keep a person rational for a day. Expose irrational thinking, keep a person rational for a lifetime." - Bo Bennett This 2021 Edition includes dozens of more logical fallacies with many updated examples.

Questions and Answers

Questions and Answers
Author: F. Kiefer
Publisher: Springer Science & Business Media
Total Pages: 304
Release: 2012-12-06
Genre: Language Arts & Disciplines
ISBN: 9400970161

In almost all principled accounts of questions questions are related to the corresponding answers. Zellig Harris (Harris 1978:1), for example, maintains that" ... all interrogative sentences can be derived, by means of the independently established transformations of the language, from sentences which assert that someone is asking about a disjunction of statements which are the relevant possible answers to that interroga tive." This amounts to the claim that a yes-no question such as Will John stay? is derived from I ask you whether John will stay and a wh question such as Who came is derived from something like I ask you whether A came or B came or ... or X came .. Though in generative grammar interrogatives are not derived from the corresponding declaratives, the semantic interpretation of questions is akin to the syntactic source of questions posited by Harris. Jerrold J.Katz and Paul M.Postal (Katz-Postal 1964:113-117) state a reading rule for Q, the interrogative constituent, which boils down to (1) in the case of yes-no questions and to (2) in the case of wh-questions. (1) Tell me which of the following is true: John will stay or John will not stay. (2) Tell me which of the following is true: A came or B came or ... or X came. Thus, the semantic interpretation of questions makes reference to the set of possible answers represented here by a disjunction of statements.

LSAT Logical Reasoning

LSAT Logical Reasoning
Author: Manhattan Prep
Publisher: Simon and Schuster
Total Pages: 781
Release: 2014-03-25
Genre: Study Aids
ISBN: 1937707806

Offering a new take on the LSAT logical reasoning section, the Manhattan Prep Logical Reasoning LSAT Strategy Guide is a must-have resource for any student preparing to take the exam. Containing the best of Manhattan Prep’s expert strategies, this book will teach you how to untangle the web of LSAT logical reasoning questions confidently and efficiently. Avoiding an unwieldy and ineffective focus on memorizing sub-categories and steps, the Logical Reasoning LSAT Strategy Guide encourages a streamlined method that engages and improves your natural critical-thinking skills. Beginning with an effective approach to reading arguments and identifying answers, this book trains you to see through the clutter and recognize the core of an argument. It also arms you with the tools needed to pick apart the answer choices, offering in-depth explanations for every single answer – both correct and incorrect – leading to a complex understanding of this subtle section. Each chapter in the Logical Reasoning LSAT Strategy Guide uses real LSAT questions in drills and practice sets, with explanations that take you inside the mind of an LSAT expert as they work their way through the problem. Further practice sets and other additional resources are included online and can be accessed through the Manhattan Prep website. Used by itself or with other Manhattan Prep materials, the Logical Reasoning LSAT Strategy Guide will push you to your top score.

Handbook of Philosophical Logic

Handbook of Philosophical Logic
Author: Dov M. Gabbay
Publisher: Springer Science & Business Media
Total Pages: 428
Release: 2002-05-31
Genre: Philosophy
ISBN: 9781402005831

such questions for centuries (unrestricted by the capabilities of any hard ware). The principles governing the interaction of several processes, for example, are abstract an similar to principles governing the cooperation of two large organisation. A detailed rule based effective but rigid bureaucracy is very much similar to a complex computer program handling and manipulating data. My guess is that the principles underlying one are very much the same as those underlying the other. I believe the day is not far away in the future when the computer scientist will wake up one morning with the realisation that he is actually a kind of formal philosopher! The projected number of volumes for this Handbook is about 18. The subject has evolved and its areas have become interrelated to such an extent that it no longer makes sense to dedicate volumes to topics. However, the volumes do follow some natural groupings of chapters. I would like to thank our authors are readers for their contributions and their commitment in making this Handbook a success. Thanks also to our publication administrator Mrs J. Spurr for her usual dedication and excellence and to Kluwer Academic Publishers for their continuing support for the Handbook.

The Logic of Epistemology and the Epistemology of Logic

The Logic of Epistemology and the Epistemology of Logic
Author: Jaakko Hintikka
Publisher: Springer Science & Business Media
Total Pages: 278
Release: 1989-02-28
Genre: Language Arts & Disciplines
ISBN: 9780792300403

somewhat like Henkin's nonstandard interpretation of higher-order logics, while the right semantics [or logical modalities is an analogue to the standard of type theory in Henkin's sense. interpretation Another possibility would be to follow W.V. Quine's advice to give up logi­ cal modalities as being beyond repair. Or we could also try to develop a logic of conceptual possibility, restricting the range of our "possible worlds" to those compatible with the transcendental presuppositions of our own conceptual sys­ tem. This looks in fact like one of the most interesting possible theories I have dreamt of developing but undoubtedly never will. Its kinship with Kant's way of thinking should be obvious. Besides putting the entire enterprise of possible-worlds semantics into a perspective, we can also see that the actual history of possible-worlds seman­ tics is more complicated than it might first appear to be. For the standard in­ terpretation of modal logics has reared its beautiful head repeatedly in the writings of Stig Kanger, Richard Montague the pre-Montague-semantics theorist, and Nino Cocchiarella.

Introduction to Logic (Teacher Guide)

Introduction to Logic (Teacher Guide)
Author: Jason Lisle
Publisher: Master Books
Total Pages: 153
Release: 2018-12-10
Genre: Philosophy
ISBN: 9781683441496

The vital resource for grading all assignments from the Introduction To Logic course, which includes:Instructional insights enhanced with worksheets and additional practice sheetsSpecial chapter reviews at the beginning of each new chapter worksheet created to help students and teachers grasp the scope of each section.OVERVIEW: Welcome to the world of logic. This logic course will both challenge and inspire students to be able to defend their faith against atheists and skeptics alike. Because learning logical terms and principles is often like learning a foreign language, the course has been developed to help students of logic learn the practical understanding of logical arguments. To make the course content easier to grasp, the schedule provides worksheets and practice sheets to help students better recognize logical fallacies, as well as review weeks for the quizzes and the final. The practice sheets in the back of the book offer practical study for both the final exam and for actual arguments you might encounter online or in the media.FEATURES: The calendar provides daily sessions with clear objectives and worksheets, quizzes, and tests, all based on the readings from the course book.

Teaching with Love & Logic

Teaching with Love & Logic
Author: Jim Fay
Publisher: Love & Logic Press
Total Pages: 399
Release: 1995
Genre: Education
ISBN: 9780944634295

Presents techniques for teaching based on the "Love and Logic" philosophy of working with children.