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Articles 2311 - 2340 of 2379

Full-Text Articles in Mathematics

Reality And Imagination In Mathematics And Religion, Dave Neuhouser Jun 1981

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.

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Theology And Philosophy Of Mathematics, Russell V. Benson Jun 1981

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.

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A Response To Professor Poythress’S “Science As Allegory”, Paul Devries Jun 1981

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.

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Teaching Mathematics Distinctively, Paul J. Zwier Jun 1981

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.

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Probabilistic Ways Of Thinking, Garnet Hauger Jun 1981

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.

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An Integration Of Integrations Of Christianity And Mathematics—A Response To Harold Heie, Gene B. Chase Jun 1981

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.

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Some Contributions Of Stanley Jaki To An Understanding Of Mathematics, Paul Devries Jun 1981

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.

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Random Variables And A Sovereign God, Lloyd Montzingo Jun 1981

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.

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The Development Of Algebraic Structures During The Nineteenth Century, Richard Stout Jun 1981

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 …

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Mathematics As Rhyme, Vern Poythress Jun 1981

Mathematics As Rhyme, Vern Poythress

ACMS Conference Proceedings 1981

Using the analogy between the universe and a choral poem, one may view mathematics as the “rhyme” of the universe. In that perspective new light is thrown on the unique subject matter of mathematics, the a priori character of its truths, and the relation of mathematics to other areas of knowledge. A route is thereby opened for richer use of creativity in mathematics.

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Communicating Spiritual Insights In Mathematics Classes, Verbal Snook Jun 1981

Communicating Spiritual Insights In Mathematics Classes, Verbal Snook

ACMS Conference Proceedings 1981

No abstract provided.

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Science As Allegory, Vern Sheridan Poythress Jun 1981

Science As Allegory, Vern Sheridan Poythress

ACMS Conference Proceedings 1981

No abstract provided.

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Microcomputers In Mathematics And Science Courses, Carlos Pereira Jun 1981

Microcomputers In Mathematics And Science Courses, Carlos Pereira

ACMS Conference Proceedings 1981

No abstract provided.

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Introduction To Computer Science, Millard B. Niver Jun 1981

Introduction To Computer Science, Millard B. Niver

ACMS Conference Proceedings 1981

No abstract provided.

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Mathematics: Freedom Within Bounds, Harold Heie Jun 1981

Mathematics: Freedom Within Bounds, Harold Heie

ACMS Conference Proceedings 1981

No abstract provided.

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A Reaction To The Poythress Paper, Paul J. Zwier Jun 1981

A Reaction To The Poythress Paper, Paul J. Zwier

ACMS Conference Proceedings 1981

This paper reacts to the metaphor of Vern Sheridan Poythress’s papers, Science as Allegory, exploring what makes a good metaphor and the quality of argument it produces.

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Science As Allegory, Vern Poythress Jun 1981

Science As Allegory, Vern Poythress

ACMS Conference Proceedings 1981

The universe is God’s choral poem, and science is a system of allegories within it. That is the thesis that I propose to expound and defend. Yet it is not a “thesis” at all, if the word “thesis” commits me to a certain kind of strict logical defense. I am not putting forward my thesis that science is allegory as the endpoint of a deductive or inductive argument. Rather, it is a springboard for a program of exploration and reflection that turns upside-down some conventional ways of thinking about science.

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Introduction (1981), Robert Brabenec Jun 1981

Introduction (1981), Robert Brabenec

ACMS Conference Proceedings 1981

A Third Conference on Mathematics from a Christian Perspective

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Table Of Contents (1981), Association Of Christians In The Mathematical Sciences Jun 1981

Table Of Contents (1981), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 1981

No abstract provided.

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Algebraic Complexity Theory, Nicholas Pippenger Jan 1981

Algebraic Complexity Theory, Nicholas Pippenger

All HMC Faculty Publications and Research

Algebraic complexity theory, the study of the minimum number of operations sufficient to perform algebraic computations, is surveyed with emphasis on the general theory of bilinear forms and two of its applications: polynomial multiplication and matrix multiplication. Though by no means exhausting algebraic complexity theory, these topics illustrate well its development and its methods, and provide examples of its most striking successes.

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Random Variables And A Sovereign God, Lloyd Montzingo Jan 1981

Random Variables And A Sovereign God, Lloyd Montzingo

ACMS Journal 2004

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.

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On Some Dependencies Between Functional Forms In Functional Programming Systems, Atanas Radenski Jan 1981

On Some Dependencies Between Functional Forms In Functional Programming Systems, Atanas Radenski

Mathematics, Physics, and Computer Science Faculty Articles and Research

In the present paper, some dependencies between functional forms in functional programming systems are demonstrated. It is shown that any functional form can be expressed by using only the forms composition, condition and construction.

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Ua66/16/2 Ogden Instructional Computing Newsletter, Vol. 2, No. 1, Wku Mathematics & Computer Science Jun 1980

Ua66/16/2 Ogden Instructional Computing Newsletter, Vol. 2, No. 1, Wku Mathematics & Computer Science

WKU Administration Documents

Newsletter created by the Ogden Computer Laboratory to promote services, courses, hardware, software and student activities.

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On The Evaluation Of Powers And Monomials, Nicholas Pippenger Jan 1980

On The Evaluation Of Powers And Monomials, Nicholas Pippenger

All HMC Faculty Publications and Research

Let $y_1 , \cdots ,y_p $ be monomials over the indeterminates $x_1 , \cdots ,x_q $. For every $y = (y_1 , \cdots ,y_p )$ there is some minimum number $L(y)$ of multiplications sufficient to compute $y_1 , \cdots ,y_p $ from $x_1 , \cdots ,x_q $ and the identity 1. Let $L(p,q,N)$ denote the maximum of $L(y)$ over all $y$ for which the exponent of any indeterminate in any monomial is at most $N$. We show that if $p = (N + 1^{o(q)} )$ and $q = (N + 1^{o(p)} )$, then $L(p,q,N) = \min \{ p,q\} \log N …

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Ua66/16/2 Ogden Instructional Computing Newsletter, Vol. 1, No. 2, Wku Mathematics & Computer Science Sep 1979

Ua66/16/2 Ogden Instructional Computing Newsletter, Vol. 1, No. 2, Wku Mathematics & Computer Science

WKU Administration Documents

Newsletter created by the Ogden Computer Laboratory to promote services, courses, hardware, software and student activities.

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Making Curriculum Decisions And The Nature Of Mathematics, Paul Zwier Jun 1979

Making Curriculum Decisions And The Nature Of Mathematics, Paul Zwier

ACMS Conference Proceedings 1979

This paper explores the pedagogical decisions made by those teaching mathematics by discussing the various values and priorities of a mathematics course.

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Mathematics In The Christian Philosophy Of Life, C. Ralph Verno Jun 1979

Mathematics In The Christian Philosophy Of Life, C. Ralph Verno

ACMS Conference Proceedings 1979

It is universally agreed that mathematics is important, that it is indeed very significant in life. This would be admitted even by those who are ignorant of or who dislike mathematics. There would be much less agreement, however, about why mathematics is important or significant. Such disagreement exists even more among mathematicians and mathematics educators. Unhappily many of the Christians who think about such things (and there are not very many who think about them at all) basically share the utilitarian view of many non-Christian thinkers, although endeavoring to place it within a Christian context. They think it is wonderful …

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Brief Position Paper For Panel Discussion On Relation Of Mathematics And Christianity, C. Ralph Verno Jun 1979

Brief Position Paper For Panel Discussion On Relation Of Mathematics And Christianity, C. Ralph Verno

ACMS Conference Proceedings 1979

Some people view a conjoining of Christianity and Mathematics as improper. They miss the point of the relationship. The content of mathematics is not affected by Christianity. The relationship does not concern what, or how (the Christian doesn’t solve equations or differentiate differently), but it concerns why. It concerns such things as the interpretation and appreciation of the beauty, the symmetries, the coincidences, the remarkable properties, man’s creative role, etc. This paper explores the relationship between Christianity and mathematics as part of a panel discussion on the topic.

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On Kuyk’S Complementarity In Mathematics, Gene B. Chase Jun 1979

On Kuyk’S Complementarity In Mathematics, Gene B. Chase

ACMS Conference Proceedings 1979

This paper examines Willem Kuyk’s book, Complementarity in Mathematics, and the interplay between the subjects of mathematics.

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Are Mathematical Objects Ontologically Real? Ideas And Suggestions, Frank R. Bernhart Jun 1979

Are Mathematical Objects Ontologically Real? Ideas And Suggestions, Frank R. Bernhart

ACMS Conference Proceedings 1979

This essay will consider a few ways that realism in the modern philosophy of mathematics might be understood and defined.

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