A First Journey Through Logic PDF Download
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Author | : Martin Hils |
Publisher | : American Mathematical Soc. |
Total Pages | : 185 |
Release | : 2019-09-11 |
Genre | : Logic, Symbolic and mathematical |
ISBN | : 1470452723 |
Download A First Journey through Logic Book in PDF, ePub and Kindle
The aim of this book is to present mathematical logic to students who are interested in what this field is but have no intention of specializing in it. The point of view is to treat logic on an equal footing to any other topic in the mathematical curriculum. The book starts with a presentation of naive set theory, the theory of sets that mathematicians use on a daily basis. Each subsequent chapter presents one of the main areas of mathematical logic: first order logic and formal proofs, model theory, recursion theory, Gödel's incompleteness theorem, and, finally, the axiomatic set theory. Each chapter includes several interesting highlights—outside of logic when possible—either in the main text, or as exercises or appendices. Exercises are an essential component of the book, and a good number of them are designed to provide an opening to additional topics of interest.
Author | : Mark Verus Lawson |
Publisher | : CRC Press |
Total Pages | : 252 |
Release | : 2018-12-07 |
Genre | : Mathematics |
ISBN | : 135117536X |
Download A First Course in Logic Book in PDF, ePub and Kindle
A First Course in Logic is an introduction to first-order logic suitable for first and second year mathematicians and computer scientists. There are three components to this course: propositional logic; Boolean algebras; and predicate/first-order, logic. Logic is the basis of proofs in mathematics — how do we know what we say is true? — and also of computer science — how do I know this program will do what I think it will? Surprisingly little mathematics is needed to learn and understand logic (this course doesn't involve any calculus). The real mathematical prerequisite is an ability to manipulate symbols: in other words, basic algebra. Anyone who can write programs should have this ability.
Author | : Joseph J. Rotman |
Publisher | : Courier Corporation |
Total Pages | : 323 |
Release | : 2013-01-18 |
Genre | : Mathematics |
ISBN | : 0486151689 |
Download Journey into Mathematics Book in PDF, ePub and Kindle
This treatment covers the mechanics of writing proofs, the area and circumference of circles, and complex numbers and their application to real numbers. 1998 edition.
Author | : Stephen Cole Kleene |
Publisher | : Courier Corporation |
Total Pages | : 436 |
Release | : 2013-04-22 |
Genre | : Mathematics |
ISBN | : 0486317072 |
Download Mathematical Logic Book in PDF, ePub and Kindle
Contents include an elementary but thorough overview of mathematical logic of 1st order; formal number theory; surveys of the work by Church, Turing, and others, including Gödel's completeness theorem, Gentzen's theorem, more.
Author | : Michael C. Gemignani |
Publisher | : Courier Corporation |
Total Pages | : 290 |
Release | : 2004-01-01 |
Genre | : Mathematics |
ISBN | : 0486435067 |
Download Basic Concepts of Mathematics and Logic Book in PDF, ePub and Kindle
This text emphasizes logic and the theory of sets. Students who take no further courses in the field will find it an excellent resource for developing an appreciation for the nature of mathematics. Others will discover the foundations for future studies — set theory, logic, counting, numbers, functions, and more. 1968 edition. 43 figures. 25 tables.
Author | : Patrick Suppes |
Publisher | : Courier Corporation |
Total Pages | : 308 |
Release | : 2012-04-30 |
Genre | : Mathematics |
ISBN | : 0486150941 |
Download First Course in Mathematical Logic Book in PDF, ePub and Kindle
Rigorous introduction is simple enough in presentation and context for wide range of students. Symbolizing sentences; logical inference; truth and validity; truth tables; terms, predicates, universal quantifiers; universal specification and laws of identity; more.
Author | : Hao Wang |
Publisher | : MIT Press |
Total Pages | : 420 |
Release | : 1997-02-03 |
Genre | : Philosophy |
ISBN | : 9780262261258 |
Download A Logical Journey Book in PDF, ePub and Kindle
Hao Wang (1921-1995) was one of the few confidants of the great mathematician and logician Kurt Gödel. A Logical Journey is a continuation of Wang's Reflections on Gödel and also elaborates on discussions contained in From Mathematics to Philosophy. A decade in preparation, it contains important and unfamiliar insights into Gödel's views on a wide range of issues, from Platonism and the nature of logic, to minds and machines, the existence of God, and positivism and phenomenology. The impact of Gödel's theorem on twentieth-century thought is on par with that of Einstein's theory of relativity, Heisenberg's uncertainty principle, or Keynesian economics. These previously unpublished intimate and informal conversations, however, bring to light and amplify Gödel's other major contributions to logic and philosophy. They reveal that there is much more in Gödel's philosophy of mathematics than is commonly believed, and more in his philosophy than his philosophy of mathematics. Wang writes that "it is even possible that his quite informal and loosely structured conversations with me, which I am freely using in this book, will turn out to be the fullest existing expression of the diverse components of his inadequately articulated general philosophy." The first two chapters are devoted to Gödel's life and mental development. In the chapters that follow, Wang illustrates the quest for overarching solutions and grand unifications of knowledge and action in Gödel's written speculations on God and an afterlife. He gives the background and a chronological summary of the conversations, considers Gödel's comments on philosophies and philosophers (his support of Husserl's phenomenology and his digressions on Kant and Wittgenstein), and his attempt to demonstrate the superiority of the mind's power over brains and machines. Three chapters are tied together by what Wang perceives to be Gödel's governing ideal of philosophy: an exact theory in which mathematics and Newtonian physics serve as a model for philosophy or metaphysics. Finally, in an epilog Wang sketches his own approach to philosophy in contrast to his interpretation of Gödel's outlook.
Author | : Mark Kac |
Publisher | : Courier Corporation |
Total Pages | : 189 |
Release | : 1992-01-01 |
Genre | : Philosophy |
ISBN | : 0486670856 |
Download Mathematics and Logic Book in PDF, ePub and Kindle
Fascinating study of the origin and nature of mathematical thought, including relation of mathematics and science, 20th-century developments, impact of computers, and more.Includes 34 illustrations. 1968 edition."
Author | : Raymond M. Smullyan |
Publisher | : Courier Corporation |
Total Pages | : 292 |
Release | : 2014-03-19 |
Genre | : Mathematics |
ISBN | : 0486782972 |
Download A Beginner's Guide to Mathematical Logic Book in PDF, ePub and Kindle
Combining stories of great writers and philosophers with quotations and riddles, this original text for first courses in mathematical logic examines problems related to proofs, propositional logic and first-order logic, undecidability, and other topics. 2014 edition.
Author | : Joseph Khoury |
Publisher | : World Scientific |
Total Pages | : 820 |
Release | : 2024-03-19 |
Genre | : Mathematics |
ISBN | : 9811285802 |
Download Tale Of Discrete Mathematics, A: A Journey Through Logic, Reasoning, Structures And Graph Theory Book in PDF, ePub and Kindle
Topics covered in Discrete Mathematics have become essential tools in many areas of studies in recent years. This is primarily due to the revolution in technology, communications, and cyber security. The book treats major themes in a typical introductory modern Discrete Mathematics course: Propositional and predicate logic, proof techniques, set theory (including Boolean algebra, functions and relations), introduction to number theory, combinatorics and graph theory.An accessible, precise, and comprehensive approach is adopted in the treatment of each topic. The ability of abstract thinking and the art of writing valid arguments are emphasized through detailed proof of (almost) every result. Developing the ability to think abstractly and roguishly is key in any areas of science, information technology and engineering. Every result presented in the book is followed by examples and applications to consolidate its comprehension. The hope is that the reader ends up developing both the abstract reasoning as well as acquiring practical skills.All efforts are made to write the book at a level accessible to first-year students and to present each topic in a way that facilitates self-directed learning. Each chapter starts with basic concepts of the subject at hand and progresses gradually to cover more ground on the subject. Chapters are divided into sections and subsections to facilitate readings. Each section ends with its own carefully chosen set of practice exercises to reenforce comprehension and to challenge and stimulate readers.As an introduction to Discrete Mathematics, the book is written with the smallest set of prerequisites possible. Familiarity with basic mathematical concepts (usually acquired in high school) is sufficient for most chapters. However, some mathematical maturity comes in handy to grasp some harder concepts presented in the book.