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Articles 2071 - 2097 of 2097
Full-Text Articles in Computer Sciences
Introduction (1979), Robert Brabenec
Introduction (1979), Robert Brabenec
ACMS Conference Proceedings 1979
No abstract provided.
Table Of Contents (1979), Association Of Christians In The Mathematical Sciences
Table Of Contents (1979), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 1979
A Second Conference on the Foundations of Mathematics
Making Curriculum Decisions And The Nature Of Mathematics, Paul Zwier
Making Curriculum Decisions And The Nature Of Mathematics, Paul Zwier
ACMS Journal 2004
This paper clearly presents eight aspects of mathematics and contrasting perspectives in each that will affect the teaching of mathematics and the design of curricula. It also presents a collection of affirmations that could reasonably characterize a Christian perspective on teaching mathematics.
Existence In Mathematics, Willis Alberda
Existence In Mathematics, Willis Alberda
ACMS Conference Proceedings 1977
Contemplation of the existence of mathematical entities for very apparent reasons generates a mental cycling of arguments dealing with the nature of mathematical truth, meaning in mathematics, and the obviously related question of which of these two problems should be solved first. The problem of the existence of mathematical entities dates from the first thoughts and ideas of a mathematical nature. The problem of existence in mathematics is fundamental to the domain of speculation and research on the foundations of mathematics. When we try to put ourselves in the place of those philosophers who first explored this problem we must …
Infinity & Reality, John W. Warner
Infinity & Reality, John W. Warner
ACMS Conference Proceedings 1977
This paper examines the topics of infinity and reality as relevant to the conference, proposing a possible relationship between the two in order to stimulate further discussions.
Epistomology To Ontology, Charles R. Hampton
Epistomology To Ontology, Charles R. Hampton
ACMS Conference Proceedings 1977
This paper offers commentary on the various philosophical approaches to the foundations of mathematics and then indicates how these ideas have implications in consideration of the existence question.
Recent Problems In The Foundationsof Mathematics, Terence H. Perciante
Recent Problems In The Foundationsof Mathematics, Terence H. Perciante
ACMS Conference Proceedings 1977
This paper examines the foundational crises that have haunted twentieth-century mathematics, beginning with a brief review of the effects generated by Gauss, Lobachevsky, and Bolyai who each developed non-Euclidean parallel axiom. Though of mathematical interest in their own right, the significance of the new geometries was greatly magnified when it was discerned that they could be used to adequately model physical space, even to the extent that Einstein’s theory of relativity later employed as its model a non-Euclidean geometry developed by Riemann. The question that obviously presented itself was how could any given geometry be called true when it and …
The Foundations Of Mathematics And The Mathematics Curriculum, Bayard Baylis
The Foundations Of Mathematics And The Mathematics Curriculum, Bayard Baylis
ACMS Conference Proceedings 1977
In teaching the foundations of mathematics within the framework of a Christian college, and particularly that of a Christian liberal arts college, there are two groups of students which must be served. The first consisted of the non-mathematics majors—those non-scientifically oriented “general anything” students who, as a catalog might put it, are to receive “an introduction to and an appreciation of the history, foundations, culture and applications of mathematics.” The second group consists of the mathematics majors, and the few science majors who have not been frightened away by the calculus. The gulf between these two groups is sufficiently large, …
A Brief Introduction To Gödel’S Theorems, Michael Detlefsen
A Brief Introduction To Gödel’S Theorems, Michael Detlefsen
ACMS Conference Proceedings 1977
Gödel’s two famous incompleteness theorems are results that have come up a number of times in the discussions at the 1977 ACMS conference. This paper provides a brief and relatively non-technical statement on these results and of their significance for the foundations of mathematics.
Current Work On Mathematical Truth, Michael Detlefsen
Current Work On Mathematical Truth, Michael Detlefsen
ACMS Conference Proceedings 1977
The overall aim of this paper is to serve as an introduction to the work currently being done on the topic of mathematical truth. It provides an overview of the major developments concerning mathematical truth and also evaluates those developments as potential contributions to mathematician’s understanding of the subject.
Recent Parallels Between The Philosophy Of Science And Mathematics, Joseph Spradley
Recent Parallels Between The Philosophy Of Science And Mathematics, Joseph Spradley
ACMS Conference Proceedings 1977
Following World War I European philosophy of science formed an alliance with mathematics culminating in an attitude of certainty and autonomy that rejected all non empirical claims to truth and purported to make all science presupposition less. The rise and fall of logical positivism has been one of the major themes of of twentieth century thought and illustrates the danger of placing too much emphasis on science and mathematics as an ideal for all knowledge. The restriction of rational inquiry to the modes of scientific verification and the processes of mathematical logic was far too confining for the containment of …
Formalizing The Liar Paradox, Frank Meyer
Formalizing The Liar Paradox, Frank Meyer
ACMS Conference Proceedings 1977
No abstract provided.
God: All Sufficient Or Infinite, Thomas E. Iverson
God: All Sufficient Or Infinite, Thomas E. Iverson
ACMS Conference Proceedings 1977
No abstract provided.
Getting Their Interest - Initiating Students Into The Study Of Foundational Issues In Mathematics, Harold Heie
Getting Their Interest - Initiating Students Into The Study Of Foundational Issues In Mathematics, Harold Heie
ACMS Conference Proceedings 1977
No abstract provided.
Wanted: Christian Perspectives In The Philosophy Of Mathematics, Arthur F. Holmes
Wanted: Christian Perspectives In The Philosophy Of Mathematics, Arthur F. Holmes
ACMS Conference Proceedings 1977
This paper describes the three types of theory about universals, beginning in each case with a classical historical formulation and moving to its restatement in recent analytic philosophy. It will then suggest ways in which Christian perspectives bear on theories of universals and so on mathematics.
A Christian Point Of View, A. Wayne Roberts
A Christian Point Of View, A. Wayne Roberts
ACMS Conference Proceedings 1977
Does the fact that you are a Christian affect the way that you teach mathematics? This paper seeks to answer the question, what contributions can a mathematics teacher in a Christian school make to the distinctive purpose of such a school?
Of Men, Models, And Mathematics, Charles Hatfield
Of Men, Models, And Mathematics, Charles Hatfield
ACMS Conference Proceedings 1977
No abstract provided.
Skolem’S Paradox And The Predestination/Free-Will Discussion, Gene B. Chase
Skolem’S Paradox And The Predestination/Free-Will Discussion, Gene B. Chase
ACMS Conference Proceedings 1977
The purpose of this paper is to show that both sides of the predestination/free-will discussion are admissible in a way that is more profound than simply the wave-particle duality of light. In wave-particle duality there are two competing physical models of reality which are contradictory. This paper will show that not a contradiction but a difference in viewpoint is the fundamental issue in the discussion of predestination and free will. A discussion of Skolem’s paradox is helpful in this demonstration.
Introduction (1977), Robert Brabenec
Introduction (1977), Robert Brabenec
ACMS Conference Proceedings 1977
No abstract provided.
Table Of Contents (1977), Association Of Christians In The Mathematical Sciences
Table Of Contents (1977), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 1977
No abstract provided.
Epistemology To Ontology, Charles R. Hampton
Epistemology To Ontology, Charles R. Hampton
ACMS Journal 2004
This paper argues for mathematicians thinking about the philosophy of math, especially Christians. It briefly sketches the limitations of formalism, intuitionism, and logicism and uses Christian concept of creation to argue that one can take the best of each of these philosophies and avoid the pitfalls. It also argues for the real existence of mathematical objects apart from the human mind.
Recent Problems In The Foundations Of Mathematics, Terence H. Perciante
Recent Problems In The Foundations Of Mathematics, Terence H. Perciante
ACMS Journal 2004
This paper examines the foundational crises that have haunted twentieth-century mathematics, beginning with a brief review of the effects generated by Gauss, Lobachevsky, and Bolyai who each developed non-Euclidean parallel axiom. Though of mathematical interest in their own right, the significance of the new geometries was greatly magnified when it was discerned that they could be used to adequately model physical space, even to the extent that Einstein’s theory of relativity later employed as its model a non-Euclidean geometry developed by Riemann. The question that obviously presented itself was how could any given geometry be called true when it and …
Recent Parallels Between The Philosophy Of Science And Mathematics, Joseph Spradley
Recent Parallels Between The Philosophy Of Science And Mathematics, Joseph Spradley
ACMS Journal 2004
Following World War I European philosophy of science formed an alliance with mathematics culminating in an attitude of certainty and autonomy that rejected all non empirical claims to truth and purported to make all science presupposition less. The rise and fall of logical positivism has been one of the major themes of of twentieth century thought and illustrates the danger of placing too much emphasis on science and mathematics as an ideal for all knowledge. The restriction of rational inquiry to the modes of scientific verification and the processes of mathematical logic was far too confining for the containment of …
Media Thefts Vs. An Electronic Security System: A Cost Comparison, Bonnie Jensen
Media Thefts Vs. An Electronic Security System: A Cost Comparison, Bonnie Jensen
Graduate Research Papers
The purpose of this research is to compare the costs of media losses in selected Iowa high schools with the cost of an electronic security system; to survey whether media specialists feel than an electronic security system might improve services and rapport by allowing freer accessibility to media without fear of heavy theft.
Developing An Optical Scanner Card For Computerized Football Scouting, Curtis Lowell Byrnes
Developing An Optical Scanner Card For Computerized Football Scouting, Curtis Lowell Byrnes
All Master's Theses
The purpose of this study is to develop an optical scanner scouting card to use in conjunction with the computer for football scouting.
Ua11/2 Press Release - Ibm Program Panels, Wku Public Relations
Ua11/2 Press Release - Ibm Program Panels, Wku Public Relations
WKU Administration Documents
Press release regarding the acquisition of IBM program panels for the WKU mainframe computer.
Electronic Data Processing--Its Place In The Administrative And Academic Areas At Eastern Illinois University, John Walstrom
Electronic Data Processing--Its Place In The Administrative And Academic Areas At Eastern Illinois University, John Walstrom
Masters Theses
No abstract provided.