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Elements of Logic via Numbers and Sets

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 032/5 ( reviews)

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Book Synopsis Elements of Logic via Numbers and Sets by : D.L. Johnson

Download or read book Elements of Logic via Numbers and Sets written by D.L. Johnson. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Elements of Mathematical Logic and Set Theory

1967 Mathematics
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Release : 1967
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Elements of Mathematical Logic and Set Theory by : Jerzy Słupecki

Download or read book Elements of Mathematical Logic and Set Theory written by Jerzy Słupecki. This book was released on 1967. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Logic

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Kind : eBook
Book Rating : 151/5 ( reviews)

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Book Synopsis Mathematical Logic by : Roman Kossak

Download or read book Mathematical Logic written by Roman Kossak. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

Numbers, Sets and Axioms

1982 Mathematics
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Release : 1982
Genre : Mathematics
Kind : eBook
Book Rating : 616/5 ( reviews)

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Book Synopsis Numbers, Sets and Axioms by : A. G. Hamilton

Download or read book Numbers, Sets and Axioms written by A. G. Hamilton. This book was released on 1982. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Sets, Logic and Categories

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 893/5 ( reviews)

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Book Synopsis Sets, Logic and Categories by : Peter J. Cameron

Download or read book Sets, Logic and Categories written by Peter J. Cameron. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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