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Articles 2011 - 2040 of 2211

Full-Text Articles in Mathematics

Devotional Reflections, Jonathan Leech Jun 1993

Devotional Reflections, Jonathan Leech

ACMS Conference Proceedings 1993

No abstract provided.

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Georg Cantor And The Battle For Transfinite Set Theory, Joseph Dauben Jun 1993

Georg Cantor And The Battle For Transfinite Set Theory, Joseph Dauben

ACMS Conference Proceedings 1993

Georg Cantor is well known as the founder of transfinite set theory. Equally celebrated, however, are the obstacles he faced in trying to win acceptance for his seemingly unorthodox views, his acrimonious differences with Leopold Kronecker and his unfortunate but progressively debilitating nervous breakdowns that some authors have linked directly to his many problems with set theory. Above all, Cantor's justification of set theory was all the more urgent because of Kronecker's critical denunciation of Cantor's mathematics. In tracing the evolution of Cantorian set theory, it is necessary to examine the opposition it met, and evaluate the technical, philosophical, psychological, …

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Table Of Contents (1993), Association Of Christians In The Mathematical Sciences Jun 1993

Table Of Contents (1993), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 1993

Paradigm Shifts in the Mathematical Sciences

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Schedule (1993), Association Of Christians In The Mathematical Sciences Jun 1993

Schedule (1993), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 1993

Paradigm Shifts in the Mathematical Sciences

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Georg Cantor And The Battle For Transfinite Set Theory, Joseph Dauben Jan 1993

Georg Cantor And The Battle For Transfinite Set Theory, Joseph Dauben

ACMS Journal 2004

Georg Cantor is well known as the founder of transfinite set theory. Equally celebrated, however, are the obstacles he faced in trying to win acceptance for his seemingly unorthodox views, his acrimonious differences with Leopold Kronecker and his unfortunate but progressively debilitating nervous breakdowns that some authors have linked directly to his many problems with set theory. Above all, Cantor's justification of set theory was all the more urgent because of Kronecker's critical denunciation of Cantor's mathematics. In tracing the evolution of Cantorian set theory, it is necessary to examine the opposition it met, and evaluate the technical, philosophical, psychological, …

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Writing Humanistic Mathematics, Ruth Hubbard Apr 1992

Writing Humanistic Mathematics, Ruth Hubbard

Humanistic Mathematics Network Journal

No abstract provided.

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The Profit Motive: The Bane Of Mathematics Education, Neal Koblitz Apr 1992

The Profit Motive: The Bane Of Mathematics Education, Neal Koblitz

Humanistic Mathematics Network Journal

No abstract provided.

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Epistemological Pluralism: Styles And Voices Within The Computer Culture, Sherry Turkle, Seymour Papert Apr 1992

Epistemological Pluralism: Styles And Voices Within The Computer Culture, Sherry Turkle, Seymour Papert

Humanistic Mathematics Network Journal

No abstract provided.

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What Is Mathematics And Why Don't They Know That?, Harald M. Ness Apr 1992

What Is Mathematics And Why Don't They Know That?, Harald M. Ness

Humanistic Mathematics Network Journal

No abstract provided.

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Undergraduates, The Right Questions, And Cayley Produce Results, Gary J. Sherman Dec 1991

Undergraduates, The Right Questions, And Cayley Produce Results, Gary J. Sherman

Mathematical Sciences Technical Reports (MSTR)

During the summers of 1989, 1990, and 1991, eighteen undergraduates participated in a National Science Foundation Research Experiences for Undergraduates program at Rose-Hulman for which the author was the principal investigator. This paper provides some examples of the mathematics discovered during these three summers and discusses the philosophy, environment and process which made these discoveries possible.

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A Tale Of Two Mathematicians, Robert Brabenec May 1991

A Tale Of Two Mathematicians, Robert Brabenec

ACMS Conference Proceedings 1991

The goal of this paper is to identify some of the discoveries in mathematics during the period from 1820 to 1875 that have profoundly changed the nature of mathematics. To provide a context for this, the author compares some results of mathematics before the year 1820 with those present after 1875. And to humanize this, the author discusses the details of the life and times of two mathematicians, one who was active before 1820 and one who was active after 1875.

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Cantor's Concept Of Infinity: Implications Of Infinity For Contingence, Bruce A. Hedman May 1991

Cantor's Concept Of Infinity: Implications Of Infinity For Contingence, Bruce A. Hedman

ACMS Conference Proceedings 1991

Georg Cantor (1845-1918) was a devout Lutheran whose explicit Christian beliefs shaped his philosophy of science. Joseph Dauben has traced the impact Cantor's Christian convictions had on the development of transfinite set theory. In this paper I propose to examine how Cantor's transfinite set theory has contributed to an increasingly contingent world view in modern science. The contingence of scientific theories is not just a cautious tentativeness, but arises out of the actual state of the universe itself. The mathematical entities Cantor studied, transfinite numbers, he admitted were fraught with paradoxes. But he believed that they were grounded in a …

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Using Mathematica To Teach Calculus, Russell W. Howell May 1991

Using Mathematica To Teach Calculus, Russell W. Howell

ACMS Conference Proceedings 1991

For the past two years Westmont College has been one of the beta test sites for the calculus reform experiment being conducted at the University of Illinois under the direction of Jerry Uhl. Brown, Porta, and Uhl have created text which is integrated with Mathematica, a very powerful symbol manipulation, graphics, and number crunching software package produced by Wolfram Research, Inc. A preliminary version of this text has just been released [2]. We have used the Illinois materials for an honors course of incoming Freshmen with prior calculus experience. The purpose of this paper is to evaluate the curriculum and …

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Reviving The Argument From Design: Detecting Design Through Small Probabilities, William A. Dembski May 1991

Reviving The Argument From Design: Detecting Design Through Small Probabilities, William A. Dembski

ACMS Conference Proceedings 1991

How small do probabilities of events have to get before we refuse to attribute those events to chance? Smallness of probability is itself not enough since events with extremely small probability occur all the time. But when such events are also prespecified, it becomes difficult to attribute their occurrence to chance. Typically we search for a causal account of how chance was offset. Lacking such a causal story, however, are we still justified in asserting that an extremely improbable prespecified event was not the result of chance? This question is relevant to such diverse areas as prophecy, miracles, parapsychology, gambling, …

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Real Number Representations And The Distribution Of Following Segments, C.R. Rosentrater May 1991

Real Number Representations And The Distribution Of Following Segments, C.R. Rosentrater

ACMS Conference Proceedings 1991

No abstract provided.

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Mathematical And Religious Knowledge In Nineteenth-Century England, Joan Richards May 1991

Mathematical And Religious Knowledge In Nineteenth-Century England, Joan Richards

ACMS Conference Proceedings 1991

No abstract provided.

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The Rigorous And The Natural In Eighteenth Century Mathematics, Joan Richards May 1991

The Rigorous And The Natural In Eighteenth Century Mathematics, Joan Richards

ACMS Conference Proceedings 1991

No abstract provided.

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Discrete Mathematics Versus Calculus - A Modern Day Extension Of The Formalist-Intuitionist Controversy, Marvin L. Johnson, Ph.D May 1991

Discrete Mathematics Versus Calculus - A Modern Day Extension Of The Formalist-Intuitionist Controversy, Marvin L. Johnson, Ph.D

ACMS Conference Proceedings 1991

No abstract provided.

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Can Mathematical Methods Yield Theological Truth?, Jan De Koning May 1991

Can Mathematical Methods Yield Theological Truth?, Jan De Koning

ACMS Conference Proceedings 1991

This paper discusses the negative impact mathematical methods in theology can have on the church by looking specifically at Arminius and Voetius, Dutch theologians living in the late sixteenth and early seventeenth century. Both Arminius and Voetius used mathematical methodology, although they came to different conclusions. I think their differences were due to their different worldviews, which in turn were fundamentally influenced by their upbringing. Both theologians, however, made the same mistake with their methodology and the church split because of that mistake.

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How Has Christian Theology Furthered Mathematics?, Gene B. Chase May 1991

How Has Christian Theology Furthered Mathematics?, Gene B. Chase

ACMS Conference Proceedings 1991

In revising my Bibliography of Christianity and Mathematics to include material prior to the 20th century, it is difficult to know what to include and what to exclude, since Christian presuppositions informed much scholarship in a vague, cultural sort of way. This paper is a first cut at attempting to narrow down candidates for that Bibliography by looking for specific ways in which Christian theology has furthered mathematics.

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C. S. Lewis, George Macdonald, And Mathematics, David L. Neuhouser May 1991

C. S. Lewis, George Macdonald, And Mathematics, David L. Neuhouser

ACMS Conference Proceedings 1991

This paper examines the influence and role of mathematics and mathematicians in the stories of George MacDonald and C. S. Lewis.

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Introduction (1991), Robert Brabenec May 1991

Introduction (1991), Robert Brabenec

ACMS Conference Proceedings 1991

An Eighth Conference on Mathematics from a Christian Perspective

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Table Of Contents (1991), Association Of Christians In The Mathematical Sciences May 1991

Table Of Contents (1991), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 1991

An Eighth Conference on Mathematics from a Christian Perspective

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Schedule (1991), Association Of Christians In The Mathematical Sciences May 1991

Schedule (1991), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 1991

An Eighth Conference on Mathematics from a Christian Perspective

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Student Seminars On "Famous Equations", Richard G. Montgomery May 1991

Student Seminars On "Famous Equations", Richard G. Montgomery

Humanistic Mathematics Network Journal

No abstract provided.

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The Human/Computer Interface: Their Side Or Ours?, R. S.D. Thomas May 1991

The Human/Computer Interface: Their Side Or Ours?, R. S.D. Thomas

Humanistic Mathematics Network Journal

No abstract provided.

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An Historical Approach To Precalculus And Calculus, Victor J. Katz May 1991

An Historical Approach To Precalculus And Calculus, Victor J. Katz

Humanistic Mathematics Network Journal

No abstract provided.

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An Alternative Approach To The History Of Mathematics, Claudia Henrion May 1991

An Alternative Approach To The History Of Mathematics, Claudia Henrion

Humanistic Mathematics Network Journal

No abstract provided.

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Mathematics: Contributions By Women, Jacqueline M. Dewar May 1991

Mathematics: Contributions By Women, Jacqueline M. Dewar

Humanistic Mathematics Network Journal

No abstract provided.

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Augsburg's Humanistic Curriculum Project, Larry Copes, Beverly Stratton May 1991

Augsburg's Humanistic Curriculum Project, Larry Copes, Beverly Stratton

Humanistic Mathematics Network Journal

No abstract provided.

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