Elements Of Logic
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Elements of Logical Reasoning
| Author | : Jan von Plato |
| Publisher | : Cambridge University Press |
| Total Pages | : 275 |
| Release | : 2014-01-23 |
| Genre | : Mathematics |
| ISBN | : 1139867768 |
Some 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.
Elements of Logic via Numbers and Sets
| Author | : D.L. Johnson |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 179 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1447106032 |
In 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 |
| Total Pages | : 354 |
| Release | : 2019-11-04 |
| Genre | : Philosophy |
| ISBN | : 1000737047 |
Originally 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.
The Elements of Mathematical Logic
| Author | : Paul C. Rosenbloom |
| Publisher | : |
| Total Pages | : 234 |
| Release | : 1950 |
| Genre | : Logic, Symbolic and mathematical |
| ISBN | : |
"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 Mathematical Logic
| Author | : Georg Kreisel |
| Publisher | : Elsevier |
| Total Pages | : 222 |
| Release | : 1967 |
| Genre | : Electronic books |
| ISBN | : 9780444534125 |
The Elements of Arguments: An Introduction to Critical Thinking and Logic
| Author | : Philip Turetzky |
| Publisher | : Broadview Press |
| Total Pages | : 338 |
| Release | : 2019-04-11 |
| Genre | : Philosophy |
| ISBN | : 146040646X |
The 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 Intuitionism
| Author | : Michael Dummett |
| Publisher | : Oxford University Press |
| Total Pages | : 350 |
| Release | : 2000 |
| Genre | : Mathematics |
| ISBN | : 9780198505242 |
This 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.
