ACMS Conference Proceedings 2003Copyright (c) 2023 Taylor University All rights reserved.
https://pillars.taylor.edu/acms-2003
Recent documents in ACMS Conference Proceedings 2003en-usTue, 03 Jan 2023 14:46:41 PST3600Creationism - A Viable Philosophy of Mathematics
https://pillars.taylor.edu/acms-2003/17
https://pillars.taylor.edu/acms-2003/17Thu, 07 Apr 2022 10:55:22 PDT
The purpose of this essay is to try to answer the ontological and epistemological question of mathematics. Specifically, "What, if any, of mathematics exists in the objective sense?" And, "How do we as humans know that our knowledge of mathematics is correct?" These questions will be investigated by looking at the applications or mathematics, the practice of mathematicians, and most telling, the content of mathematics. Mathematics, admittedly, can only go so far in answering its own philosophical questions, even when aided by recent developments in the field of logic. The overwhelming evidence, as will be shown, points toward a theistic, or more precisely, a creationist, interpretation of mathematics. The presuppositions of Christianity will be shown to have the powerful ability to fill in the philosophical gaps left by mathematics, legitimately addressing the existence and knowledge questions.
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Jonathan ZderadMathematics, Science, and George MacDonald
https://pillars.taylor.edu/acms-2003/16
https://pillars.taylor.edu/acms-2003/16Tue, 15 Feb 2022 13:34:39 PST
In writing about George MacDonald choosing a college major, biographer William Raeper wrote that he chose “chemistry, a strange choice perhaps for a future novelist and poet and not an easy one for him to make.” He further conjectured that MacDonald’s choice was based on “common sense and sound economics” rather than “his poetic yearnings.” Many would agree with Raeper that science is a strange choice for a future poet and novelist. This paper argues that the role of beauty and imagination is very similar in science, mathematics, and literature, so it might not be so strange that someone could enjoy and appreciate mathematics and science as well as literature.
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David L. NeuhouserA Christian Appraisal of Stephan Wolfram's <i>A New Kind of Science</i>
https://pillars.taylor.edu/acms-2003/15
https://pillars.taylor.edu/acms-2003/15Tue, 28 Dec 2021 13:05:09 PST
Wolfram exposes some ideas about informatics that relate to Christian Scholarship: Does Wolfram's definition of free will permit God to have free will? Will human souls resurrected to a new body–as described by St. Paul and Aquinas–by like software that is moved to new hardware? Jesus' incarnation as in-form-ation in the Aristotelian sense.
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Gene B. ChaseMen Are From the Server Side, Women Are From the Client Side: A Biblical Perspective on Men, Women and Computer Science
https://pillars.taylor.edu/acms-2003/14
https://pillars.taylor.edu/acms-2003/14Tue, 28 Dec 2021 13:05:06 PST
The percentage of women in computer science is small and has decreased over the last twenty years. Why is this the case, when computer science is a wonderful and growing field with many opportunities? I believe that the situation has its roots in the basic differences between men and women, differences that were present from the beginning of creation and are a part of the way that God made male and female uniquely. In order to ensure that both talented men and women are attracted to computer science, we need to understand the differences between men and women, and how those differences affect the way we approach computer science.
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Kim Potter KihlstromWhat is a Random Event? A Project for Finite Math or Statistics
https://pillars.taylor.edu/acms-2003/13
https://pillars.taylor.edu/acms-2003/13Thu, 19 Aug 2021 17:20:08 PDT
Randomization is an important idea in Finite Mathematics and Statistics. One main idea in these courses is that events that appear to be performed in a random fashion are often not random. Here we present a simple project involving "randomly" opening the Bible. This activity leads to deeper philosophical questions such as how to study the Bible and whether an event can be considered random if God intervenes.
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Jeremy CaseIntegrating Laptops into a Mathematics Curriculum
https://pillars.taylor.edu/acms-2003/12
https://pillars.taylor.edu/acms-2003/12Mon, 19 Jul 2021 14:09:23 PDT
In 1999, St. Mary's University in San Antonio received a Title V Grant, providing $2.1 million over five years. The money was used to help finance computers for students, fund faculty training for computer-related curriculum, convert traditional classrooms into technology or "Smart classrooms", and upgrade the school's Internet connections. This article discusses specific software and hardware advancements made at the University through this grant. The article also describes how the Math department specifically integrated the laptops into their courses using software programs such as Mathcad and Blackboard.
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Mary Wagner-KrankelMathematical Models and Reality
https://pillars.taylor.edu/acms-2003/11
https://pillars.taylor.edu/acms-2003/11Thu, 29 Apr 2021 12:21:18 PDT
This paper examines the nature and function of mathematical models, using illustrations from cosmology, space geometry and atomic physics. Mathematical models enable us to make precise calculations and predictions; they serve as analogies and conceptual frameworks that lead to new discoveries; and they bridge the gap between appearance and reality. Their success implies that the universe had a mathematical structure. However, one must be careful not to confuse models of reality with reality itself. A variety of models can represent the same data; any model can be given different physical interpretations. The choice of a model and its interpretation depends largely on one’s worldview.
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John BylThe Inverse Problem: Christianity through a Mathematical Lens
https://pillars.taylor.edu/acms-2003/10
https://pillars.taylor.edu/acms-2003/10Thu, 29 Apr 2021 12:21:14 PDT
An inverse problem is a partner problem that reverses some type of direct problem. Usually the inverse problem is more challenging to solve than the direct problem: integration is more challenging than differentiation, factoring large numbers is more challenging than multiplying numbers. In this paper, the author poses that using mathematical thinking to understand the concepts of theological principles is the direct problem to the much more challenging inverse problem of using theological thinking to influence understanding in mathematics. Acknowledging that a problem is difficult allows one to be satisfied with understanding small pieces and progressing slowly to a complete and satisfactory solution. The author then provides several examples that illustrates the more tractable direct problem of Christianity through a Mathematical Lens.
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Sharon K. RobbertA Greater Tantalizer
https://pillars.taylor.edu/acms-2003/9
https://pillars.taylor.edu/acms-2003/9Mon, 15 Feb 2021 12:22:34 PST
The children’s puzzle, sometimes called the Great Tantalizer, consists of four blocks each of whose faces have been colored with four colors; a solution consists in stacking the blocks so that on each stack face, all four colors appear. This article renders the puzzle as six octahedral blocks, each of which is colored with six colors, and describes a scheme to successfully stack all six.
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Andrew SimosonThe Search for the Real Josephus Problem
https://pillars.taylor.edu/acms-2003/8
https://pillars.taylor.edu/acms-2003/8Tue, 02 Feb 2021 11:46:21 PST
Many of the problems that mathematicians and computer scientists dearly love have been around for a long time. One such problem is known as the Josephus Problem, named after the first century Jewish historian Flavius Josephus. Josephus did not invent the problem. Instead, an event from his life served as the inspiration for the problem statement. Many current books refer to "Mathematical Recreations and Essays" by W. W. Rouse Ball [originally published in 1892] for the problem statement. The problem is quite interesting (and will be solved here). However, the story, as quoted in Bell, is not completely accurate.
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Eric GossettMaking Connections: Using Analogies to Enrich Understanding of Mathematical Ideas and Biblical Truths
https://pillars.taylor.edu/acms-2003/7
https://pillars.taylor.edu/acms-2003/7Tue, 02 Feb 2021 11:27:09 PST
Recent standards and research, published by mathematics education professional organizations, place a great emphasis on “connections” in all grade levels. Through this emphasis on interrelatedness, students begin to see the subject not as a collection of separate strands, but rather as an integrated field of study. When linkages between diverse domains of knowledge are formed (by comparing, contrasting, analyzing, and applying), we have increased the likelihood that we develop deeper understandings within both domains. This paper explores some specific examples of the use of analogies to connect mathematical and Biblical concepts.
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Ron BenbowExploiting the Confidence Interval-Hypothesis Test Equivalence in Basic Statistics Classes
https://pillars.taylor.edu/acms-2003/6
https://pillars.taylor.edu/acms-2003/6Tue, 02 Feb 2021 11:27:02 PST
An emphasis is offered for the inference portion of an elementary Statistics course: the equivalence between confidence intervals and tests of hypotheses. This equivalence is rarely mentioned in basic texts but seems helpful to students. Student reference sheets which employ this equivalence are available on-line.
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Ken ConstantineLinear Regression as a 1-Variable Optimization Exercise
https://pillars.taylor.edu/acms-2003/5
https://pillars.taylor.edu/acms-2003/5Tue, 02 Feb 2021 11:26:54 PST
Derivation of the least squares line for a set of bivariate data entails minimizing a function of two variables, say the line's slope and intercept. Imposing the requirement that the line pass through the mean point for the data reduces this problem to a 1-variable problem easily solved as a single-variable Calculus exercise. The solution to this problem is, in fact, the solution to the more general problem. We illustrate with a dataset involving charitable donations.
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Ken ConstantineSOS Checks and Career Management
https://pillars.taylor.edu/acms-2003/4
https://pillars.taylor.edu/acms-2003/4Fri, 29 Jan 2021 13:48:33 PST
This paper compares the careers of King Saul and King David in the Bible and how they inform the career management methods of a Christian.
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Russell W. HowellSchedule (2003)
https://pillars.taylor.edu/acms-2003/3
https://pillars.taylor.edu/acms-2003/3Thu, 28 Jan 2021 13:33:06 PST
Fourteenth Conference of the Association of Christians in the Mathematical Sciences
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Association of Christians in the Mathematical SciencesIntroduction (2003)
https://pillars.taylor.edu/acms-2003/2
https://pillars.taylor.edu/acms-2003/2Thu, 28 Jan 2021 13:32:59 PST
Fourteenth Conference of the Association of Christians in the Mathematical Sciences
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Association of Christians in the Mathematical SciencesTable of Contents (2003)
https://pillars.taylor.edu/acms-2003/1
https://pillars.taylor.edu/acms-2003/1Thu, 28 Jan 2021 13:32:53 PST
Fourteenth Conference of the Association of Christians in the Mathematical Sciences
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Association of Christians in the Mathematical Sciences