Mathematics Commons^™

On Universal Tests For The Truth Of World Views: Their Existence And Identifiability, William Buttelmann, Paul Fienberg

ACMS Conference Proceedings 1985

In his book, Christian Apologetics, Norman Geisler proposes a universal test for the truth of world views. We examine this concept and find that it raises serious difficulties. This paper first presents some basic definitions for "world view" and "truth-value of a world view," then studies the concept of a universal test for the truth of world views in light of these definitions. Geisler has proposed what amounts to a universal decision procedure to determine the truth-value of world views. We show that, in the general case, no such universal decision procedure exists. Whether or not such universal tests for …

Selected Bibliography Of Donald Maccrimmon Mackay, Gene B. Chase

ACMS Conference Proceedings 1985

A selected bibliography of Donald MacCrimmon MacKay, including his written works and biographical sources.

The Significance Of Formally Undecidable Propositions For The Use Of Classical Logic In Theological Arguments, Gordon E. Whitney

ACMS Conference Proceedings 1985

No abstract provided.

Faith And Mathematics - A Different Perspective, James E. Mann, Jr.

ACMS Conference Proceedings 1985

No abstract provided.

Artificial Intelligence? - A Christian Appraisal, Donald M. Mackay

ACMS Conference Proceedings 1985

No abstract provided.

Is Rational Thinking The Best Thinking?, Richard Laatsch

ACMS Conference Proceedings 1985

No abstract provided.

Undergraduate Mathematical Modeling: When And What To Teach, Frank R. Giordano, Maurice D. Weir

ACMS Conference Proceedings 1985

No abstract provided.

Introduction (1985), Robert Brabenec

ACMS Conference Proceedings 1985

A Fifth Conference on Mathematics from a Christian Perspective

Edited by Robert L. Brabenec, Wheaton College

Table Of Contents (1985), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 1985

A Fifth Conference on Mathematics from a Christian Perspective

Edited by Robert L. Brabenec, Wheaton College

Using Mathematical Concepts To Illustrate Scriptural And Spiritual Ideas, Robert Brabenec

ACMS Conference Proceedings 1983

Christian mathematics faculty and students respond in differing ways to this idea of applying mathematics to Scripture, and vice-versa. Mathematics is man-made, while Scripture is inspired by God, so they should be disjoint entities. However, it is well known that the Scripture used analogies of familiar human objects and ideas in order to explain spiritual ideas. This paper discusses various mathematical concepts and how they illustrate Scriptural and spiritual ideas.

The Activitiy And Application Of Mathematics, R. S. D. Thomas

ACMS Conference Proceedings 1983

There are four so-called philosophies of mathematics that I regard as totally discredited, formalism, intuitionism, logicism, and Platonism. It is a common feature of the ism philosophies of mathematics that they do not take the application of mathematics very seriously. This paper examines a view of mathematics that takes applications seriously.

Arrogance And Humility In The Philosophy Of Mathematics, James Murdock

ACMS Conference Proceedings 1983

This paper explores the philosophical, sociological, and theological questions related to the field of mathematics and whether or not it is ethical to pursue when its discoveries are used for evil.

An Outline Of A Complementarist Philosophy Of The Sciences, With A Special Reference To Mathematics, Willem Kuyk

ACMS Conference Proceedings 1983

No abstract provided.

A Neuropsychodynamical Theory Of Mathematics Learning, Willem Kuyk

ACMS Conference Proceedings 1983

No abstract provided.

One Possible Outline For A First Undergraduate Course In Philosophy Of Mathematics, Harold Heie

ACMS Conference Proceedings 1983

No abstract provided.

The Role Of Creativity In Mathematics, John M. Dubbey

ACMS Conference Proceedings 1983

No abstract provided.

Mathematics: The Loss Of Certainty, Calvin Jongsma

ACMS Conference Proceedings 1983

Morris Kline was a contentious mathematician and author, documenting (as he saw it) both the deficiencies of mid-twentieth-century reformist trends in mathematics education and formalist views of the foundations (and practice) of mathematics. This brief introduction to a discussion of Kline's 1980 book and its mixed reception by the mathematics community provides a context for assessing his ideas as part of his overall views on the nature of mathematics.

A Comparative Study Of Christian Mathematical Realism And Its Humanistic Alternatives, Paul Zwier

ACMS Conference Proceedings 1983

This paper explores what sort of stance a Christian should have on important mathematical questions such as realism.

Introduction (1983), Robert Brabenec

ACMS Conference Proceedings 1983

No abstract provided.

Table Of Contents (1983), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 1983

A Fourth Conference on Mathematics from a Christian Perspective

Edited by Robert L. Brabenec, Wheaton College

A Comparative Study Of Christian Mathematical Realism And Its Humanistic Alternatives, Paul Zwier

ACMS Journal 2004

This paper addresses the growing popularity of views of mathematics that see it primarily as a social entity and that reject Platonism. It contrasts two Christian realist philosophies - those of Alvin Plantinga and Vernon Poythress - with the secular perspective of Philip Davis and Reuben Hersch. It affirms the insight of Davis and Hersch that mathematics is indeed a social entity. However, it argues that belief in God enables a fuller understanding of mathematics - one that accounts for the apparent transcendence of mathematics and its power to explain concepts in the physical world.

Reality And Imagination In Mathematics And Religion, Dave Neuhouser

ACMS Conference Proceedings 1981

What does either reality or imagination have to do with mathematics? What does either reality or imagination have to do with religion? The thesis of this paper is that mathematics and religion, both, should be closely related to reality and that imagination is essential in both areas. In fact, imagination is essential in our attempts to understand reality.

Theology And Philosophy Of Mathematics, Russell V. Benson

ACMS Conference Proceedings 1981

This paper examines history and philosophy to explore the answer to the theological question of whether or not Christians should pursue the mathematical sciences.

A Response To Professor Poythress’S “Science As Allegory”, Paul Devries

ACMS Conference Proceedings 1981

This paper critiques some of the arguments given by Vern Sheridan Poythress in his paper, Science as Allegory, particularly about the claims that the universe is poetry and that science is poetry.

Teaching Mathematics Distinctively, Paul J. Zwier

ACMS Conference Proceedings 1981

By examining previously used education models, Paul Zwier how he developed his current methods of teaching mathematically distinctively.

Probabilistic Ways Of Thinking, Garnet Hauger

ACMS Conference Proceedings 1981

Events of the tiniest probabilities occur every day, and yet we tend to think of these events as unusual and even miraculous. So what should be a Christian's response to such events? Beginning with some simple concepts of probability, this paper examines the role that chance plays in our lives.

An Integration Of Integrations Of Christianity And Mathematics—A Response To Harold Heie, Gene B. Chase

ACMS Conference Proceedings 1981

There are three general approaches taken to integrate Christianity and Mathematics: the applicational, the incarnation, and the philosophical. This paper discusses these views and responds to the approaches of Harold Heie.

Some Contributions Of Stanley Jaki To An Understanding Of Mathematics, Paul Devries

ACMS Conference Proceedings 1981

This paper comments on passages from the books by Stanley L. Jaki, Science and Creation, The Relevance of Physics, and The Road to Science and The Ways to God.

Random Variables And A Sovereign God, Lloyd Montzingo

ACMS Conference Proceedings 1981

This paper takes a brief look at the history of conflict between the concepts of chance and divine activity. After reviewing some evidence for randomness in the universe, present philosophical and theological views from four different scientists on this subject are presented. The discussion concludes with some questions and observations concerning those questions.

The Development Of Algebraic Structures During The Nineteenth Century, Richard Stout

ACMS Conference Proceedings 1981

I remember entering the faculty lounge one day while I was in graduate school and hearing a logician chiding some of the algebraists in the room. He said, "Don't you fellows ever get tired of just plus and times?" His remark, said in jest, had more to it than he may have realized. The fact that there is structure to algebra, represented by plus and times, was a vital discovery in the nineteenth century. It would lead algebra away from a reliance on numbers to a much more formal approach, one in which many different types of algebraic structures could …