A Beginner S Further Guide To Mathematical Logic
DOWNLOAD
Download A Beginner S Further Guide To Mathematical Logic PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get A Beginner S Further Guide To Mathematical Logic book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
A Beginner S Further Guide To Mathematical Logic
DOWNLOAD
Author : Raymond M Smullyan
language : en
Publisher: World Scientific Publishing Company
Release Date : 2016-11-11
A Beginner S Further Guide To Mathematical Logic written by Raymond M Smullyan and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-11 with Mathematics categories.
'A wealth of examples to which solutions are given permeate the text so the reader will certainly be active.'The Mathematical GazetteThis is the final book written by the late great puzzle master and logician, Dr. Raymond Smullyan.This book is a sequel to my Beginner's Guide to Mathematical Logic.The previous volume deals with elements of propositional and first-order logic, contains a bit on formal systems and recursion, and concludes with chapters on Gödel's famous incompleteness theorem, along with related results.The present volume begins with a bit more on propositional and first-order logic, followed by what I would call a 'fein' chapter, which simultaneously generalizes some results from recursion theory, first-order arithmetic systems, and what I dub a 'decision machine.' Then come five chapters on formal systems, recursion theory and metamathematical applications in a general setting. The concluding five chapters are on the beautiful subject of combinatory logic, which is not only intriguing in its own right, but has important applications to computer science. Argonne National Laboratory is especially involved in these applications, and I am proud to say that its members have found use for some of my results in combinatory logic.This book does not cover such important subjects as set theory, model theory, proof theory, and modern developments in recursion theory, but the reader, after studying this volume, will be amply prepared for the study of these more advanced topics.
A Beginner S Guide To Mathematical Logic
DOWNLOAD
Author : Raymond M. Smullyan
language : en
Publisher: Courier Corporation
Release Date : 2014-03-19
A Beginner S Guide To Mathematical Logic written by Raymond M. Smullyan and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-19 with Mathematics categories.
Combining stories of great writers and philosophers with quotations and riddles, this original text for first courses in mathematical logic examines problems related to proofs, propositional logic and first-order logic, undecidability, and other topics. 2014 edition.
A Beginner S Guide To Mathematical Proof
DOWNLOAD
Author : Mark J. DeBonis
language : en
Publisher: CRC Press
Release Date : 2025-04-01
A Beginner S Guide To Mathematical Proof written by Mark J. DeBonis and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-01 with Mathematics categories.
A Beginner’s Guide to Mathematical Proof prepares mathematics majors for the transition to abstract mathematics, as well as introducing a wider readership of quantitative science students, such as engineers, to the mathematical structures underlying more applied topics. The text is designed to be easily utilized by both instructor and student, with an accessible, step-by-step approach requiring minimal mathematical prerequisites. The book builds towards more complex ideas as it progresses but never makes assumptions of the reader beyond the material already covered. Features No mathematical prerequisites beyond high school mathematics Suitable for an Introduction to Proofs course for mathematics majors and other students of quantitative sciences, such as engineering Replete with exercises and examples
The Best Writing On Mathematics 2019
DOWNLOAD
Author : Mircea Pitici
language : en
Publisher: Princeton University Press
Release Date : 2019-11-05
The Best Writing On Mathematics 2019 written by Mircea Pitici and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-05 with Mathematics categories.
The year's finest mathematical writing from around the world This annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2019 makes available to a wide audience many articles not easily found anywhere else—and you don't need to be a mathematician to enjoy them. These essays delve into the history, philosophy, teaching, and everyday aspects of math, offering surprising insights into its nature, meaning, and practice—and taking readers behind the scenes of today's hottest mathematical debates. In this volume, Moon Duchin explains how geometric-statistical methods can be used to combat gerrymandering, Jeremy Avigad illustrates the growing use of computation in making and verifying mathematical hypotheses, and Kokichi Sugihara describes how to construct geometrical objects with unusual visual properties. In other essays, Neil Sloane presents some recent additions to the vast database of integer sequences he has catalogued, and Alessandro Di Bucchianico and his colleagues highlight how mathematical methods have been successfully applied to big-data problems. And there's much, much more. In addition to presenting the year's most memorable math writing, this must-have anthology includes an introduction by the editor and a bibliography of other notable writings on mathematics. This is a must-read for anyone interested in where math has taken us—and where it is headed.
Raymond Smullyan On Self Reference
DOWNLOAD
Author : Melvin Fitting
language : en
Publisher: Springer
Release Date : 2018-01-11
Raymond Smullyan On Self Reference written by Melvin Fitting and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-11 with Philosophy categories.
This book collects, for the first time in one volume, contributions honoring Professor Raymond Smullyan’s work on self-reference. It serves not only as a tribute to one of the great thinkers in logic, but also as a celebration of self-reference in general, to be enjoyed by all lovers of this field. Raymond Smullyan, mathematician, philosopher, musician and inventor of logic puzzles, made a lasting impact on the study of mathematical logic; accordingly, this book spans the many personalities through which Professor Smullyan operated, offering extensions and re-evaluations of his academic work on self-reference, applying self-referential logic to art and nature, and lastly, offering new puzzles designed to communicate otherwise esoteric concepts in mathematical logic, in the manner for which Professor Smullyan was so well known. This book is suitable for students, scholars and logicians who are interested in learning more about Raymond Smullyan's work and life.
Descartes A Beginner S Guide
DOWNLOAD
Author : Kevin O'Donnell
language : en
Publisher: Hachette UK
Release Date : 2012-07-27
Descartes A Beginner S Guide written by Kevin O'Donnell and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-27 with Philosophy categories.
This useful guide introduces the reader to the so-called 'father of modern philosophy' - Rene Descartes.
A Beginner S Guide To The Later Philosophy Of Wittgenstein
DOWNLOAD
Author : Peter Hacker
language : en
Publisher: Anthem Press
Release Date : 2024-04-02
A Beginner S Guide To The Later Philosophy Of Wittgenstein written by Peter Hacker and has been published by Anthem Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-02 with Philosophy categories.
In this Beginner’s Guide, Peter Hacker, the leading authority on the philosophy of Wittgenstein and author of a dozen books on his work, introduces the later philosophy of Wittgenstein to those with an enquiring mind. It selects an array of topics that will capture the interest of all educated readers: the nature of language and linguistic meaning, the analysis of necessity and its roots in convention, the relation of thought and language, the nature of the mind and its relation to behavior, self-consciousness, and knowledge of other minds. No philosophical knowledge is presupposed – only curiosity and a willingness to shed prejudices. Written in a laid-back colloquial style and interspersed by dialogues between the author and questioners, the book is amusing and entertaining to read. Nothing comparable to this exists in the literature on Wittgenstein. Wittgenstein’s ideas are presented in all their profundity for the widest possible audience, in a style that is intellectually stimulating and provocative.
More Math Logic Mysteries
DOWNLOAD
Author : Marilynn L. Rapp Buxton
language : en
Publisher: Taylor & Francis
Release Date : 2021-09-03
More Math Logic Mysteries written by Marilynn L. Rapp Buxton and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-03 with Education categories.
Students love trying to solve challenging puzzles. So, why not build and review their math skills while they're having fun? More Math Logic Mysteries, the sequel to the best-selling Math Logic Mysteries, requires students to complete math problems and use deductive reasoning to unlock the clues needed to solve matrix-based logic problems. Mathematical skills covered include measurement, number operations, geometry, probability, fractions, decimals, percentages, and algebra. The puzzles range from simple introductions to matrix-based problems, to more difficult puzzles that cover advanced math topics. Each reproducible puzzle is based on an enjoyable story your students will love as they attempt to solve problems and crack the mysteries. This book includes a detailed how-to section for teaching logic puzzles and an in-depth answer key, so students can understand the thinking process behind each solution. After doing these fun and challenging puzzles, your students will ask for even More Math Logic Mysteries! Grades 5-8
Introducing Philosophy Of Mathematics
DOWNLOAD
Author : Michele Friend
language : en
Publisher: Routledge
Release Date : 2014-12-05
Introducing Philosophy Of Mathematics written by Michele Friend and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-05 with Philosophy categories.
What is mathematics about? Does the subject-matter of mathematics exist independently of the mind or are they mental constructions? How do we know mathematics? Is mathematical knowledge logical knowledge? And how is mathematics applied to the material world? In this introduction to the philosophy of mathematics, Michele Friend examines these and other ontological and epistemological problems raised by the content and practice of mathematics. Aimed at a readership with limited proficiency in mathematics but with some experience of formal logic it seeks to strike a balance between conceptual accessibility and correct representation of the issues. Friend examines the standard theories of mathematics - Platonism, realism, logicism, formalism, constructivism and structuralism - as well as some less standard theories such as psychologism, fictionalism and Meinongian philosophy of mathematics. In each case Friend explains what characterises the position and where the divisions between them lie, including some of the arguments in favour and against each. This book also explores particular questions that occupy present-day philosophers and mathematicians such as the problem of infinity, mathematical intuition and the relationship, if any, between the philosophy of mathematics and the practice of mathematics. Taking in the canonical ideas of Aristotle, Kant, Frege and Whitehead and Russell as well as the challenging and innovative work of recent philosophers like Benacerraf, Hellman, Maddy and Shapiro, Friend provides a balanced and accessible introduction suitable for upper-level undergraduate courses and the non-specialist.
A Journey Through The Realm Of Numbers
DOWNLOAD
Author : Menny Aka
language : en
Publisher: Springer Nature
Release Date : 2020-10-03
A Journey Through The Realm Of Numbers written by Menny Aka and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-03 with Mathematics categories.
This book takes the reader on a journey from familiar high school mathematics to undergraduate algebra and number theory. The journey starts with the basic idea that new number systems arise from solving different equations, leading to (abstract) algebra. Along this journey, the reader will be exposed to important ideas of mathematics, and will learn a little about how mathematics is really done. Starting at an elementary level, the book gradually eases the reader into the complexities of higher mathematics; in particular, the formal structure of mathematical writing (definitions, theorems and proofs) is introduced in simple terms. The book covers a range of topics, from the very foundations (numbers, set theory) to basic abstract algebra (groups, rings, fields), driven throughout by the need to understand concrete equations and problems, such as determining which numbers are sums of squares. Some topics usually reserved for a more advanced audience, such as Eisenstein integers or quadratic reciprocity, are lucidly presented in an accessible way. The book also introduces the reader to open source software for computations, to enhance understanding of the material and nurture basic programming skills. For the more adventurous, a number of Outlooks included in the text offer a glimpse of possible mathematical excursions. This book supports readers in transition from high school to university mathematics, and will also benefit university students keen to explore the beginnings of algebraic number theory. It can be read either on its own or as a supporting text for first courses in algebra or number theory, and can also be used for a topics course on Diophantine equations.