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Articles 1471 - 1500 of 1643

Full-Text Articles in Mathematics

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 …


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 …


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, …


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.


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.


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.


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.


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.


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.


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.


Introduction (1991), Robert Brabenec May 1991

Introduction (1991), Robert Brabenec

ACMS Conference Proceedings 1991

An Eighth Conference on Mathematics from a Christian Perspective


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


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


Give Saxon The Ax!, Calvin Jongsma May 1991

Give Saxon The Ax!, Calvin Jongsma

Faculty Work Comprehensive List

No abstract provided.


Leibniz — Beyond The Calculus, Hardy Grant May 1991

Leibniz — Beyond The Calculus, Hardy Grant

Humanistic Mathematics Network Journal

No abstract provided.


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.


Ethics In Mathematics: A Request For Information, Robert P. Webber May 1991

Ethics In Mathematics: A Request For Information, Robert P. Webber

Humanistic Mathematics Network Journal

No abstract provided.


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.


Mathematics And Philosophy: The Story Of A Misunderstanding, Gian-Carlo Rota May 1991

Mathematics And Philosophy: The Story Of A Misunderstanding, Gian-Carlo Rota

Humanistic Mathematics Network Journal

No abstract provided.


Ultimately, Mathematics Is Poetry, Alfred Warrinnier May 1991

Ultimately, Mathematics Is Poetry, Alfred Warrinnier

Humanistic Mathematics Network Journal

No abstract provided.


Mathematics, Truth And Integrity, Peter Hilton, Jean Pedersen May 1991

Mathematics, Truth And Integrity, Peter Hilton, Jean Pedersen

Humanistic Mathematics Network Journal

No abstract provided.


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

Mathematics: Contributions By Women, Jacqueline M. Dewar

Humanistic Mathematics Network Journal

No abstract provided.


Mathematics And Poetry : Isolated Or Integrated?, Joanne S. Growney May 1991

Mathematics And Poetry : Isolated Or Integrated?, Joanne S. Growney

Humanistic Mathematics Network Journal

No abstract provided.


Editorial, Issue 5, 1990, Alvin White May 1990

Editorial, Issue 5, 1990, Alvin White

Humanistic Mathematics Network Journal

No abstract provided.


What Has Mathematics Got To Do With Values?, Stephen Lerman May 1990

What Has Mathematics Got To Do With Values?, Stephen Lerman

Humanistic Mathematics Network Journal

No abstract provided.


Mathematics And Ethics, Reuben Hersh May 1990

Mathematics And Ethics, Reuben Hersh

Humanistic Mathematics Network Journal

No abstract provided.


A Social View Of Mathematics: Iimplications For Mathematics Education, Stephen Lerman May 1990

A Social View Of Mathematics: Iimplications For Mathematics Education, Stephen Lerman

Humanistic Mathematics Network Journal

No abstract provided.


The Humanistic Aspects Of Mathematics And Their Importance, Philip J. Davis May 1990

The Humanistic Aspects Of Mathematics And Their Importance, Philip J. Davis

Humanistic Mathematics Network Journal

No abstract provided.


Mathematics — A Significant Force In Our Culture, Harald M. Ness May 1990

Mathematics — A Significant Force In Our Culture, Harald M. Ness

Humanistic Mathematics Network Journal

No abstract provided.


Reflections On Attending Three Contributed Paper Sessions On Humanistic Mathematics In Phoenix 1989, Peter Flusser Dec 1989

Reflections On Attending Three Contributed Paper Sessions On Humanistic Mathematics In Phoenix 1989, Peter Flusser

Humanistic Mathematics Network Journal

No abstract provided.