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Articles 1621 - 1643 of 1643

Full-Text Articles in Mathematics

Getting Their Interest - Initiating Students Into The Study Of Foundational Issues In Mathematics, Harold Heie Apr 1977

Getting Their Interest - Initiating Students Into The Study Of Foundational Issues In Mathematics, Harold Heie

ACMS Conference Proceedings 1977

No abstract provided.

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Wanted: Christian Perspectives In The Philosophy Of Mathematics, Arthur F. Holmes Apr 1977

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.

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A Christian Point Of View, A. Wayne Roberts Apr 1977

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?

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Of Men, Models, And Mathematics, Charles Hatfield Apr 1977

Of Men, Models, And Mathematics, Charles Hatfield

ACMS Conference Proceedings 1977

No abstract provided.

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Skolem’S Paradox And The Predestination/Free-Will Discussion, Gene B. Chase Apr 1977

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.

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Introduction (1977), Robert Brabenec Apr 1977

Introduction (1977), Robert Brabenec

ACMS Conference Proceedings 1977

No abstract provided.

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Table Of Contents (1977), Association Of Christians In The Mathematical Sciences Apr 1977

Table Of Contents (1977), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 1977

No abstract provided.

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Mathematics In America: The First Hundred Years, Judith V. Grabiner Jan 1977

Mathematics In America: The First Hundred Years, Judith V. Grabiner

Pitzer Faculty Publications and Research

There are two main questions I shall discuss in this paper. First, why was American mathematics so weak from 1776 to 1876? Second, and much more important, how did what happened from 1776-1876 produce an American mathematics respectable by international standards by the end of the nineteenth century? We will see that the "weakness" -at least as measured by the paucity of great names- co-existed with the active building both of mathematics education and of a mathematical community which reached maturity in the 1890's.

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Epistemology To Ontology, Charles R. Hampton Jan 1977

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.

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Recent Problems In The Foundations Of Mathematics, Terence H. Perciante Jan 1977

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 …

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Recent Parallels Between The Philosophy Of Science And Mathematics, Joseph Spradley Jan 1977

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 …

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Irrational Numbers And Reality, Arnold H. Veldkamp Dec 1975

Irrational Numbers And Reality, Arnold H. Veldkamp

Pro Rege

No abstract provided.

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The Mathematician, The Historian, And The History Of Mathematics, Judith V. Grabiner Nov 1975

The Mathematician, The Historian, And The History Of Mathematics, Judith V. Grabiner

Pitzer Faculty Publications and Research

The historian's basic questions, whether he is a historian of mathematics or of political institutions, are: what was the past like? and how did the present come to be? The second question --how did the present come to be?-- is the central one in the history of mathematics, whether done by historian or mathematician. But the historian's view of both past and present is quite different from that of the mathematician. The historian is interested in the past in its full richness, and sees any present fact as conditioned by a complex chain of causes in an almost unlimited past. …

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What Is Number?, Willis J. Alberda Mar 1975

What Is Number?, Willis J. Alberda

Pro Rege

No abstract provided.

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Is Mathematical Truth Time-Dependent?, Judith V. Grabiner Apr 1974

Is Mathematical Truth Time-Dependent?, Judith V. Grabiner

Pitzer Faculty Publications and Research

Another such mathematical revolution occurred between the eighteenth and nineteenth centuries, and was focused primarily on the calculus. This change was a rejection of the mathematics of powerful techniques and novel results in favor of the mathematics of clear definitions and rigorous proofs. Because this change, however important it may have been for mathematicians themselves, is not often discussed by historians and philosophers, its revolutionary character is not widely understood. In this paper, I shall first try to show that this major change did occur. Then, I shall investigate what brought it about. Once we have done this, we can …

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D-Structures And Their Semantics, Rohit J. Parikh Jan 1972

D-Structures And Their Semantics, Rohit J. Parikh

Publications and Research

"Many logicians are familiar with the game theoretic approach to semantics, due to Jaakko Hintikka. This paper by me contains class notes of a logic course at Boston University in fall 1972. It has similar game theoretic ideas, developed quite independently, but influenced by the work of A. Ehrenfeucht. It applies to a larger class of logics, including classical logic, intuitionistic logic and the *-semantics of Ehrenfeucht. The treatment is via D-structures which are finite approximations of infinite structures. For various reasons I did not publish this paper then, but some abstracts, both by myself as well as joint abstracts …

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Mathematicians And Royalty: A Historical Survey, Loren W. Pixley Jan 1955

Mathematicians And Royalty: A Historical Survey, Loren W. Pixley

Masters Theses

No abstract provided.

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General Steps In The Evolution Of The Calculus From The Time Of The Ancients To The Present, Sister Mary Virginia Ssf Jul 1931

General Steps In The Evolution Of The Calculus From The Time Of The Ancients To The Present, Sister Mary Virginia Ssf

Electronic Theses and Dissertations

This thesis, submitted to Xavier University in partial fulfillment of requirements for a Bachelor of Science degree in 1931, traces the historical development of the calculus from ancient Greek mathematics through the early twentieth century. The study is organized chronologically across eight sections. The introduction defines key mathematical terms including calculus, variable, and limit, and situates the calculus as the most powerful instrument of mathematical investigation. The thesis then examines the Method of Exhaustion developed by Greek mathematicians including Antiphon (430 B.C.), Eudoxus (370 B.C.), and Archimedes (225 B.C.), whose summation of infinite series represents the nearest ancient approach to …

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History Of Applied Geometry, Evelyn Jackson Jan 1930

History Of Applied Geometry, Evelyn Jackson

Electronic Theses and Dissertations

No abstract provided.

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Ua94/6/1 English & Grammar Notebook, Ruth Whitlow Jan 1920

Ua94/6/1 English & Grammar Notebook, Ruth Whitlow

Student Organizations

Grammar and English notebook used by Ruth Whitlow, includes diagrammed sentences and some math problems on the back page.

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Ua94/6/1 English & Grammar Notebook, Ruth Whitlow Jan 1920

Ua94/6/1 English & Grammar Notebook, Ruth Whitlow

Student/Alumni Personal Papers

Grammar and English notebook used by Ruth Whitlow, includes diagrammed sentences and some math problems on the back page.

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Student Algebra Notebook, Jack Thorington, Joseph S. Winter Jan 1888

Student Algebra Notebook, Jack Thorington, Joseph S. Winter

Winter Letterbooks

Jack Thorington's Algebra notebook. Contains practice algebra problems.

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The Voice Of The Phi Sigma -- 1881 -- Volume 03, No. 15, Phi Sigma Jun 1881

The Voice Of The Phi Sigma -- 1881 -- Volume 03, No. 15, Phi Sigma

The Voice of the Phi Sigma

This item is part of the Phi Sigma collection at the College Archives & Special Collections department of Columbia College Chicago. Contact [email protected] for more information and to view the collection.

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