Sets Logic And Mathematical Foundations PDF Download
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Author | : Luca Incurvati |
Publisher | : Cambridge University Press |
Total Pages | : 255 |
Release | : 2020-01-23 |
Genre | : History |
ISBN | : 1108497829 |
Download Conceptions of Set and the Foundations of Mathematics Book in PDF, ePub and Kindle
Presents a detailed and critical examination of the available conceptions of set and proposes a novel version.
Author | : Peter J. Cameron |
Publisher | : Springer Science & Business Media |
Total Pages | : 191 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1447105893 |
Download Sets, Logic and Categories Book in PDF, ePub and Kindle
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 | : Abraham Adolf Fraenkel |
Publisher | : |
Total Pages | : 297 |
Release | : 1968 |
Genre | : |
ISBN | : |
Download Abstract Set Theory Book in PDF, ePub and Kindle
Author | : Stephen Cole Kleene |
Publisher | : |
Total Pages | : 366 |
Release | : 1968 |
Genre | : Logic, Symbolic and mathematical |
ISBN | : |
Download Sets, Logic, and Mathematical Foundations Book in PDF, ePub and Kindle
Author | : Douglas Cenzer |
Publisher | : World Scientific |
Total Pages | : 222 |
Release | : 2020-04-04 |
Genre | : Mathematics |
ISBN | : 9811201943 |
Download Set Theory And Foundations Of Mathematics: An Introduction To Mathematical Logic - Volume I: Set Theory Book in PDF, ePub and Kindle
This book provides an introduction to axiomatic set theory and descriptive set theory. It is written for the upper level undergraduate or beginning graduate students to help them prepare for advanced study in set theory and mathematical logic as well as other areas of mathematics, such as analysis, topology, and algebra.The book is designed as a flexible and accessible text for a one-semester introductory course in set theory, where the existing alternatives may be more demanding or specialized. Readers will learn the universally accepted basis of the field, with several popular topics added as an option. Pointers to more advanced study are scattered throughout the text.
Author | : John P. Mayberry |
Publisher | : Cambridge University Press |
Total Pages | : 454 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : 9780521770347 |
Download The Foundations of Mathematics in the Theory of Sets Book in PDF, ePub and Kindle
This 2001 book will appeal to mathematicians and philosophers interested in the foundations of mathematics.
Author | : Robert R. Stoll |
Publisher | : Courier Corporation |
Total Pages | : 516 |
Release | : 2012-05-23 |
Genre | : Mathematics |
ISBN | : 0486139646 |
Download Set Theory and Logic Book in PDF, ePub and Kindle
Explores 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.
Author | : David Makinson |
Publisher | : Springer Science & Business Media |
Total Pages | : 302 |
Release | : 2012-02-27 |
Genre | : Computers |
ISBN | : 1447125002 |
Download Sets, Logic and Maths for Computing Book in PDF, ePub and Kindle
This easy-to-follow textbook introduces the mathematical language, knowledge and problem-solving skills that undergraduates need to study computing. The language is in part qualitative, with concepts such as set, relation, function and recursion/induction; but it is also partly quantitative, with principles of counting and finite probability. Entwined with both are the fundamental notions of logic and their use for representation and proof. Features: teaches finite math as a language for thinking, as much as knowledge and skills to be acquired; uses an intuitive approach with a focus on examples for all general concepts; brings out the interplay between the qualitative and the quantitative in all areas covered, particularly in the treatment of recursion and induction; balances carefully the abstract and concrete, principles and proofs, specific facts and general perspectives; includes highlight boxes that raise common queries and clear confusions; provides numerous exercises, with selected solutions.
Author | : Kenneth Kunen |
Publisher | : |
Total Pages | : 251 |
Release | : 2009 |
Genre | : Mathematics |
ISBN | : 9781904987147 |
Download The Foundations of Mathematics Book in PDF, ePub and Kindle
Mathematical logic grew out of philosophical questions regarding the foundations of mathematics, but logic has now outgrown its philosophical roots, and has become an integral part of mathematics in general. This book is designed for students who plan to specialize in logic, as well as for those who are interested in the applications of logic to other areas of mathematics. Used as a text, it could form the basis of a beginning graduate-level course. There are three main chapters: Set Theory, Model Theory, and Recursion Theory. The Set Theory chapter describes the set-theoretic foundations of all of mathematics, based on the ZFC axioms. It also covers technical results about the Axiom of Choice, well-orderings, and the theory of uncountable cardinals. The Model Theory chapter discusses predicate logic and formal proofs, and covers the Completeness, Compactness, and Lowenheim-Skolem Theorems, elementary submodels, model completeness, and applications to algebra. This chapter also continues the foundational issues begun in the set theory chapter. Mathematics can now be viewed as formal proofs from ZFC. Also, model theory leads to models of set theory. This includes a discussion of absoluteness, and an analysis of models such as H( ) and R( ). The Recursion Theory chapter develops some basic facts about computable functions, and uses them to prove a number of results of foundational importance; in particular, Church's theorem on the undecidability of logical consequence, the incompleteness theorems of Godel, and Tarski's theorem on the non-definability of truth.
Author | : Stephen Cole Kleene |
Publisher | : |
Total Pages | : |
Release | : 1981 |
Genre | : |
ISBN | : |
Download Sets, Logic and Mathematical Foundations Book in PDF, ePub and Kindle