Beeson, Michael J. 1945
Overview
Works:  22 works in 60 publications in 2 languages and 582 library holdings 

Genres:  Academic theses 
Roles:  Author, wpr 
Classifications:  QA9, 510.1 
Publication Timeline
.
Most widely held works by
Michael J Beeson
Foundations of constructive mathematics : metamathematical studies by
Michael J Beeson(
Book
)
24 editions published between 1984 and 2012 in English and German and held by 535 WorldCat member libraries worldwide
This book is about some recent work in a subject usually considered part of "logic" and the" foundations of mathematics", but also having close connec tions with philosophy and computer science. Namely, the creation and study of "formal systems for constructive mathematics". The general organization of the book is described in the" User's Manual" which follows this introduction, and the contents of the book are described in more detail in the introductions to Part One, Part Two, Part Three, and Part Four. This introduction has a different purpose; it is intended to provide the reader with a general view of the subject. This requires, to begin with, an elucidation of both the concepts mentioned in the phrase, "formal systems for constructive mathematics". "Con structive mathematics" refers to mathematics in which, when you prove that l a thing exists (having certain desired properties) you show how to find it. Proof by contradiction is the most common way of proving something exists without showing how to find it  one assumes that nothing exists with the desired properties, and derives a contradiction. It was only in the last two decades of the nineteenth century that mathematicians began to exploit this method of proof in ways that nobody had previously done; that was partly made possible by the creation and development of set theory by Georg Cantor and Richard Dedekind
24 editions published between 1984 and 2012 in English and German and held by 535 WorldCat member libraries worldwide
This book is about some recent work in a subject usually considered part of "logic" and the" foundations of mathematics", but also having close connec tions with philosophy and computer science. Namely, the creation and study of "formal systems for constructive mathematics". The general organization of the book is described in the" User's Manual" which follows this introduction, and the contents of the book are described in more detail in the introductions to Part One, Part Two, Part Three, and Part Four. This introduction has a different purpose; it is intended to provide the reader with a general view of the subject. This requires, to begin with, an elucidation of both the concepts mentioned in the phrase, "formal systems for constructive mathematics". "Con structive mathematics" refers to mathematics in which, when you prove that l a thing exists (having certain desired properties) you show how to find it. Proof by contradiction is the most common way of proving something exists without showing how to find it  one assumes that nothing exists with the desired properties, and derives a contradiction. It was only in the last two decades of the nineteenth century that mathematicians began to exploit this method of proof in ways that nobody had previously done; that was partly made possible by the creation and development of set theory by Georg Cantor and Richard Dedekind
Mathpert calculus assistant : intelligent learning software for algebra through precalculus(
)
1 edition published in 1997 in English and held by 5 WorldCat member libraries worldwide
A powerful and effective learning technology developed for high school and college level mathematics students. Unlike other computer math programs, Mathpert's active educational intelligence will solve any calculus problem and display every step of the solution. The operation menus, hints and automatic assistance assure that students always arrive at the correct solution. Calculus Assistant builds experience, proficiency and accuracy in the strategy of problem solving
1 edition published in 1997 in English and held by 5 WorldCat member libraries worldwide
A powerful and effective learning technology developed for high school and college level mathematics students. Unlike other computer math programs, Mathpert's active educational intelligence will solve any calculus problem and display every step of the solution. The operation menus, hints and automatic assistance assure that students always arrive at the correct solution. Calculus Assistant builds experience, proficiency and accuracy in the strategy of problem solving
Principles of continuous choice and continuity of functions in formal systems for constructive mathematics by
Michael J Beeson(
Book
)
4 editions published in 1977 in English and held by 4 WorldCat member libraries worldwide
4 editions published in 1977 in English and held by 4 WorldCat member libraries worldwide
Continuity in intuitionistic set theories by
Michael J Beeson(
Book
)
3 editions published in 1977 in English and Undetermined and held by 4 WorldCat member libraries worldwide
3 editions published in 1977 in English and Undetermined and held by 4 WorldCat member libraries worldwide
Mathpert algebra assistant : intelligent learning software for beginning and intermediate algebra(
)
1 edition published in 1997 in English and held by 4 WorldCat member libraries worldwide
This learning software is designed for beginning and intermediate algebra students. Its active educational intelligence will solve any courselevel problem and display every step of the solution. It also helps students solve problems themselves while protecting them from trivial mistakes. Algebra Assistant builds experience and proficiency in the strategy of problem solving. It's the first module of a complete learning technology that guides students all the way through calculus
1 edition published in 1997 in English and held by 4 WorldCat member libraries worldwide
This learning software is designed for beginning and intermediate algebra students. Its active educational intelligence will solve any courselevel problem and display every step of the solution. It also helps students solve problems themselves while protecting them from trivial mistakes. Algebra Assistant builds experience and proficiency in the strategy of problem solving. It's the first module of a complete learning technology that guides students all the way through calculus
Extensionality and choice in constructive mathematics by
Michael J Beeson(
Book
)
3 editions published in 1976 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1976 in English and held by 4 WorldCat member libraries worldwide
Metamathematische Methoden in der Geometrie by
W Schwabhäuser(
Book
)
2 editions published in 2011 in German and held by 3 WorldCat member libraries worldwide
Enthält: Teil 1: Ein axiomatischer Aufbau der euklidischen Geometrie / von Wolfram Schwabhäuser, Wanda Szmielew und Alfred Tarski.  Teil 2: Metamathematische Betrachtungen / von Wolfram Schwabhäuser
2 editions published in 2011 in German and held by 3 WorldCat member libraries worldwide
Enthält: Teil 1: Ein axiomatischer Aufbau der euklidischen Geometrie / von Wolfram Schwabhäuser, Wanda Szmielew und Alfred Tarski.  Teil 2: Metamathematische Betrachtungen / von Wolfram Schwabhäuser
Some results on finiteness in Plateau's problem by
Michael J Beeson(
Book
)
2 editions published in 1979 in German and English and held by 3 WorldCat member libraries worldwide
2 editions published in 1979 in German and English and held by 3 WorldCat member libraries worldwide
On the area of harmonic surfaces by
Michael J Beeson(
Book
)
3 editions published in 1977 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1977 in English and held by 3 WorldCat member libraries worldwide
Mathpert precalculus assistant : intelligent learning software for algebra through precalculus(
)
1 edition published in 1997 in English and held by 2 WorldCat member libraries worldwide
A powerful and effective learning technology developed for high school and college level mathematics students. Unlike other computer math programs, Mathpert's active educational intelligence will solve any precalculus problem and display every step of the solution. The operation menus, hints and automatic assistance assure that students always arrive at the correct solution. PreCalculus Assistant builds experience, proficiency and accuracy in the strategy of problem solving
1 edition published in 1997 in English and held by 2 WorldCat member libraries worldwide
A powerful and effective learning technology developed for high school and college level mathematics students. Unlike other computer math programs, Mathpert's active educational intelligence will solve any precalculus problem and display every step of the solution. The operation menus, hints and automatic assistance assure that students always arrive at the correct solution. PreCalculus Assistant builds experience, proficiency and accuracy in the strategy of problem solving
Introduction to metamathematics by
Stephen Cole Kleene(
Book
)
2 editions published in 2009 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 2009 in English and held by 2 WorldCat member libraries worldwide
Metamathematics of constructive theories of effective operations by
Michael J Beeson(
Book
)
2 editions published in 1972 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1972 in English and held by 2 WorldCat member libraries worldwide
Goodman's theorem and beyond by
Michael J Beeson(
Book
)
2 editions published in 1976 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1976 in English and held by 2 WorldCat member libraries worldwide
The Language of Conflict: How a Combined/Joint Force Commander can Overcome Military Linguist Shortages to Enhance Information
Operations(
Book
)
2 editions published in 2002 in English and held by 2 WorldCat member libraries worldwide
This paper examines how a combined or joint force commander can continue to shape Information Operations despite a shortage of military linguists. As advances in Information Operations grow throughout the world, so does the need for qualified and competent linguists. As we have seen in various military conflicts and operations throughout history, linguists have played a key role in keeping the operational commander apprised of enemy intentions, orders of battle, and operations. Without proper translation resources, the operational commander is placed in a position where he can be denied enemy information, thereby relinquishing the Information Operations advantage. By addressing translation requirements in the early operational planning stages, and employing a competent Information Operations Officer, who also has cultural and foreign area expertise, the operational commander can achieve an information advantage over his adversary. Tapping U.S. government linguists, civilian contract linguists, indigenous speakers, and machine translations also can aid the commander in filling any gaps in translation services and cultural awareness caused by the military linguist shortage
2 editions published in 2002 in English and held by 2 WorldCat member libraries worldwide
This paper examines how a combined or joint force commander can continue to shape Information Operations despite a shortage of military linguists. As advances in Information Operations grow throughout the world, so does the need for qualified and competent linguists. As we have seen in various military conflicts and operations throughout history, linguists have played a key role in keeping the operational commander apprised of enemy intentions, orders of battle, and operations. Without proper translation resources, the operational commander is placed in a position where he can be denied enemy information, thereby relinquishing the Information Operations advantage. By addressing translation requirements in the early operational planning stages, and employing a competent Information Operations Officer, who also has cultural and foreign area expertise, the operational commander can achieve an information advantage over his adversary. Tapping U.S. government linguists, civilian contract linguists, indigenous speakers, and machine translations also can aid the commander in filling any gaps in translation services and cultural awareness caused by the military linguist shortage
Differential mental health services delivery to the poor by Robert Becker(
)
1 edition published in 1971 in English and held by 1 WorldCat member library worldwide
1 edition published in 1971 in English and held by 1 WorldCat member library worldwide
Industrial relations in a changing world(
Book
)
1 edition published in 1975 in English and held by 1 WorldCat member library worldwide
1 edition published in 1975 in English and held by 1 WorldCat member library worldwide
The cusp catastrophe of Thom in the bifurcation of minimal surfaces by
Mark Beeson(
Book
)
1 edition published in 1981 in English and held by 1 WorldCat member library worldwide
1 edition published in 1981 in English and held by 1 WorldCat member library worldwide
Some results on finiteness in Plateau's problem by
Michael J Beeson(
Book
)
1 edition published in 1979 in English and held by 1 WorldCat member library worldwide
1 edition published in 1979 in English and held by 1 WorldCat member library worldwide
MathXpert plus calculus assistant intelligent learning software for algebra through precalculus(
)
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
A powerful and effective learning technology developed for high school and college level mathematics students. Unlike other computer math programs, Mathpert's active educational intelligence will solve any calculus problem and display every step of the solution. The operation menus, hints and automatic assistance assure that students always arrive at the correct solution. Calculus Assistant builds experience, proficiency and accuracy in the stategy of problem solving
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
A powerful and effective learning technology developed for high school and college level mathematics students. Unlike other computer math programs, Mathpert's active educational intelligence will solve any calculus problem and display every step of the solution. The operation menus, hints and automatic assistance assure that students always arrive at the correct solution. Calculus Assistant builds experience, proficiency and accuracy in the stategy of problem solving
Foundations of constructive analysis by
Errett Bishop(
Book
)
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
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Algebra Calculus CaliforniaSan Diego Community mental health services Constructive mathematics Functions Geometry Great Britain Industrial relations Logic, Symbolic and mathematical Mathematical analysis Mathematical analysisFoundations Mathematics MathematicsPhilosophy Metamathematics Poor Recursive functions