Elements Of Logic Via Numbers And Sets
Download Elements Of Logic Via Numbers And Sets full books in PDF, epub, and Kindle. Read online free Elements Of Logic Via Numbers And Sets ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
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.
Author | : D.L. Johnson |
Publisher | : Springer Science & Business Media |
Total Pages | : 188 |
Release | : 1998-09-25 |
Genre | : Mathematics |
ISBN | : 9783540761235 |
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.
Author | : Peter J. Cameron |
Publisher | : Springer Science & Business Media |
Total Pages | : 191 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1447105893 |
Set theory, logic and category theory lie at the foundations of mathematics, and have a dramatic effect on the mathematics that we do, through the Axiom of Choice, Gödel's Theorem, and the Skolem Paradox. But they are also rich mathematical theories in their own right, contributing techniques and results to working mathematicians such as the Compactness Theorem and module categories. The book is aimed at those who know some mathematics and want to know more about its building blocks. Set theory is first treated naively an axiomatic treatment is given after the basics of first-order logic have been introduced. The discussion is su pported by a wide range of exercises. The final chapter touches on philosophical issues. The book is supported by a World Wibe Web site containing a variety of supplementary material.
Author | : Jerzy Słupecki |
Publisher | : Pergamon |
Total Pages | : 374 |
Release | : 1967 |
Genre | : Mathematics |
ISBN | : |
Author | : Roman Kossak |
Publisher | : Springer Nature |
Total Pages | : 256 |
Release | : |
Genre | : |
ISBN | : 3031562151 |
Author | : Louis F. Roethel |
Publisher | : |
Total Pages | : 293 |
Release | : 1972 |
Genre | : Mathematics |
ISBN | : 9780534000943 |
Author | : Robert Roth Stoll |
Publisher | : Courier Corporation |
Total Pages | : 516 |
Release | : 1979-10-01 |
Genre | : Mathematics |
ISBN | : 0486638294 |
"The best introductory text we have seen." — Cosmos. Lucidly and gradually explains sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set theory, several algebraic theories, and 1st-order theories. Its clarity makes this book excellent for self-study.
Author | : A. G. Hamilton |
Publisher | : Cambridge University Press |
Total Pages | : 265 |
Release | : 1983-01-13 |
Genre | : Mathematics |
ISBN | : 9780521245098 |
Following the success of Logic for Mathematicians, Dr Hamilton has written a text for mathematicians and students of mathematics that contains a description and discussion of the fundamental conceptual and formal apparatus upon which modern pure mathematics relies. The author's intention is to remove some of the mystery that surrounds the foundations of mathematics. He emphasises the intuitive basis of mathematics; the basic notions are numbers and sets and they are considered both informally and formally. The role of axiom systems is part of the discussion but their limitations are pointed out. Formal set theory has its place in the book but Dr Hamilton recognises that this is a part of mathematics and not the basis on which it rests. Throughout, the abstract ideas are liberally illustrated by examples so this account should be well-suited, both specifically as a course text and, more broadly, as background reading. The reader is presumed to have some mathematical experience but no knowledge of mathematical logic is required.
Author | : Clayton W. Dodge |
Publisher | : |
Total Pages | : 364 |
Release | : 1969 |
Genre | : |
ISBN | : |
Author | : Louis F. Roethel |
Publisher | : |
Total Pages | : 415 |
Release | : 1983 |
Genre | : Mathematics |
ISBN | : |