Elements of Logic ..
Author:
Publisher:
Published: 1850
Total Pages:
ISBN-13:
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The Elements of Mathematical Logic
Author: Paul C. Rosenbloom
Publisher:
Published: 1950
Total Pages: 234
ISBN-13:
DOWNLOAD EBOOK"This book is intended for readers who, while mature mathematically, have no knowledge of mathematical logic. We attempt to introduce the reader to the most important approaches to the subject, and, wherever possible within the limitations of space which we have set for ourselves, to give at least a few nontrivial results illustrating each of the important methods for attacking logical problems"--Preface.
Elements of Logic via Numbers and Sets
Author: D.L. Johnson
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 179
ISBN-13: 1447106032
DOWNLOAD EBOOKIn mathematics we are interested in why a particular formula is true. Intuition and statistical evidence are insufficient, so we need to construct a formal logical proof. The purpose of this book is to describe why such proofs are important, what they are made of, how to recognize valid ones, how to distinguish different kinds, and how to construct them. This book is written for 1st year students with no previous experience of formulating proofs. Dave Johnson has drawn from his considerable experience to provide a text that concentrates on the most important elements of the subject using clear, simple explanations that require no background knowledge of logic. It gives many useful examples and problems, many with fully-worked solutions at the end of the book. In addition to a comprehensive index, there is also a useful `Dramatis Personae` an index to the many symbols introduced in the text, most of which will be new to students and which will be used throughout their degree programme.
The Elements of Formal Logic
Author: G. E. Hughes
Publisher: Routledge
Published: 2019-11-04
Total Pages: 354
ISBN-13: 1000737047
DOWNLOAD EBOOKOriginally published in 1965. This is a textbook of modern deductive logic, designed for beginners but leading further into the heart of the subject than most other books of the kind. The fields covered are the Propositional Calculus, the more elementary parts of the Predicate Calculus, and Syllogistic Logic treated from a modern point of view. In each of the systems discussed the main emphases are on Decision Procedures and Axiomatisation, and the material is presented with as much formal rigour as is compatible with clarity of exposition. The techniques used are not only described but given a theoretical justification. Proofs of Consistency, Completeness and Independence are set out in detail. The fundamental characteristics of the various systems studies, and their relations to each other are established by meta-logical proofs, which are used freely in all sections of the book. Exercises are appended to most of the chapters, and answers are provided.
Elements of Mathematical Logic
Author: Georg Kreisel
Publisher: Elsevier
Published: 1967
Total Pages: 222
ISBN-13: 9780444534125
DOWNLOAD EBOOKThe Elements of Arguments: An Introduction to Critical Thinking and Logic
Author: Philip Turetzky
Publisher: Broadview Press
Published: 2019-04-11
Total Pages: 338
ISBN-13: 146040646X
DOWNLOAD EBOOKThe Elements of Arguments introduces such central critical thinking topics as informal fallacies, the difference between validity and truth, basic formal propositional logic, and how to extract arguments from texts. Turetzky aims to prevent common confusions by clearly explaining a number of important distinctions, including propositions vs. propositional attitudes, propositions vs. states of affairs, and logic vs. rhetoric vs. psychology. Exercises are provided throughout, including numerous informal arguments that can be assessed using the skills and strategies presented within the text.
Elements of Mathematical Logic and Set Theory
Author: Jerzy Słupecki
Publisher: Pergamon
Published: 1967
Total Pages: 374
ISBN-13:
DOWNLOAD EBOOKElements of Knowledge
Author: Arthur Franklin Stewart
Publisher: Vanderbilt University Press
Published: 1997
Total Pages: 178
ISBN-13: 9780826513038
DOWNLOAD EBOOKElements of Knowledge is an introductory text designed to bring a working understanding and appreciation of the fundamental tenets and methods of the American school of philosophy known as pragmatism, as articulated by its founder C.S. Peirce, to undergraduates and general readers. It presents and explains the basic pragmatic tools that are the common thread in our acquisition and development of knowledge, whether in an academic, vocational, or professional setting, or in life at large.
Elements of Intuitionism
Author: Michael Dummett
Publisher: Oxford University Press
Published: 2000
Total Pages: 350
ISBN-13: 9780198505242
DOWNLOAD EBOOKThis is a long-awaited new edition of one of the best known Oxford Logic Guides. The book gives an informal but thorough introduction to intuitionistic mathematics, leading the reader gently through the fundamental mathematical and philosophical concepts. The treatment of various topics has been completely revised for this second edition. Brouwer's proof of the Bar Theorem has been reworked, the account of valuation systems simplified, and the treatment of generalized Beth Trees and the completeness of intuitionistic first-order logic rewritten. Readers are assumed to have some knowledge of classical formal logic and a general awareness of the history of intuitionism.
Elements of Logical Reasoning
Author: Jan von Plato
Publisher: Cambridge University Press
Published: 2014-01-23
Total Pages: 275
ISBN-13: 1139867768
DOWNLOAD EBOOKSome of our earliest experiences of the conclusive force of an argument come from school mathematics: faced with a mathematical proof, we cannot deny the conclusion once the premises have been accepted. Behind such arguments lies a more general pattern of 'demonstrative arguments' that is studied in the science of logic. Logical reasoning is applied at all levels, from everyday life to advanced sciences, and a remarkable level of complexity is achieved in everyday logical reasoning, even if the principles behind it remain intuitive. Jan von Plato provides an accessible but rigorous introduction to an important aspect of contemporary logic: its deductive machinery. He shows that when the forms of logical reasoning are analysed, it turns out that a limited set of first principles can represent any logical argument. His book will be valuable for students of logic, mathematics and computer science.
