Mathematics Commons^™

Abstracting Aristotle’S Philosophy Of Mathematics, John J. Cleary

Research Resources

In the history of science perhaps the most influential Aristotelian division was that

between mathematics and physics. From our modern perspective this seems like an unfortunate deviation from the Platonic unification of the two disciplines, which guided Kepler and Galileo towards the modern scientific revolution. By contrast, Aristotle’s sharp distinction between the disciplines seems to have led to a barren scholasticism in physics, together with an arid instrumentalism in Ptolemaic astronomy. On the positive side, however, astronomy was liberated from commonsense realism for the conceptual experiments of Aristarchus of Samos, whose heliocentric hypothesis was not adopted by later astronomers because …

Mathematics As Worship, David J. Stucki

Mathematics Faculty Scholarship

This paper treats worship in a broad, inclusive sense as the primary and necessary response of human beings to their creator. It provides a brief overview of the relationship between mathematics and theology from the Pythagoreans to the present. It argues that all knowledge is contingent upon faith and thus that contemplation of mathematical insights can lead to worship of God.

Theism And Mathematical Realism, John Byl

ACMS Journal 2004

This paper examines connections between theism and mathematical realism. Mathematical realism, which offers the best account of mathematics, strongly supports theism. Theism, in turn, supports mathematical realism. Theism readily explains the intricate relations between mathematics, matter, and mind. The attributes of the biblical God provide a justification for classical mathematics.

Mathematics As Worship, David J. Stucki

ACMS Journal 2004

This paper treats worship in a broad, inclusive sense as the primary and necessary response of human beings to their creator. It provides a brief overview of the relationship between mathematics and theology from the Pythagoreans to the present. It argues that all knowledge is contingent upon faith and thus that contemplation of mathematical insights can lead to worship of God.

La Révolution Scientifique, Les Révolutions, Et L'Histoire Des Sciences. Comment Ernest Coumet Nous A Libérés De L'Héritage D'Alexandre Koyré, Marco Panza

MPP Published Research

Dans son intervention au colloque Koyré (Paris, 1986), Ernest Coumet a suggéré que le terme «révolution scientifique» ne désigne pas chez Koyré un événement historique, mais un idéaltype, au sens de Max Weber. L'auteur discute d'abord cette thèse de Coumet et expose les arguments que ce dermier apporte pour la soutenir. Dans la deuxième partie de l'article, il critique l'usage de la notion de révolution en histoire des sciences, en s'opposant en particulier à la possibilité de distinguer dans les productions des savants une «pensée scientifique» qui serait influencée par la «pensée philosophique» et dont les bouleversements marqueraient l'avènement d'une …

Dialectics And The Dao: On Both, A And Non-A In Neutrosophy And Chinese Philosophy, Feng Liu, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

This paper introduces readers to a new approach to dialectical logic: neutrosophy. Specifically it proposes a multi-valued logic in which the statement “both A and Non-A,” historically rejected as logically incoherent, is treated as meaningful. This unity of opposites constitutes both the objective world and the subjective world –a view with deep roots in Buddhism and Daoism, including the I-Ching. This leads in turn to the presentation of a framework for the development of a contradiction oriented learning philosophy inspired by the Later Trigrams of King Wen in the I-Ching. We show that although A and Non-A are logically inconsistent, …

Mathematization And Modern Science, Calvin Jongsma

Faculty Work Comprehensive List

The discipline of mathematics has not been spared the sweeping critique of postmodernism. Is mathematical theory true for all time, or are mathematical constructs in fact fallible? This fascinating book examines the tensions that have arisen between modern and postmodern views of mathematics, explores alternative theories of mathematical truth, explains why the issues are important, and shows how a Christian perspective makes a difference.

This chapter continues the process of tracing Western mathematization.

Ode To The Square Root: A Historical Journey, Dorothy W. Goldberg

Humanistic Mathematics Network Journal

The author gives a personal history of experiences in finding the square root of a number by the “do it thus” method—from algorithm to table to calculator. Why each procedure works is elucidated, making liberal use of the history of mathematics.

Qualitative Quantities, Susan Parman

Humanistic Mathematics Network Journal

No abstract provided.

Skolem’S Paradox And Contradictory Popular Songs, Maurice Machover

Humanistic Mathematics Network Journal

No abstract provided.

Number, Infinity And Truth: Reflections On The Spiritual In Mathematics, James V. Rauff

Humanistic Mathematics Network Journal

No abstract provided.

True Prime, Pat Mower

Humanistic Mathematics Network Journal

No abstract provided.

Book Review: Geometry From Africa: Mathematical And Educational Explorations By Paulus Gerdes, Claudia Zaslavsky

Humanistic Mathematics Network Journal

No abstract provided.

A Tribute To Ramanujan, Mahesh Dube

Humanistic Mathematics Network Journal

No abstract provided.

Written To Me Upon Getting A B In Linear Algebra, Sandra Z. Keith

Humanistic Mathematics Network Journal

No abstract provided.

A Glorious Constant, Ze'ev Barel

Humanistic Mathematics Network Journal

No abstract provided.

Book Review: Women In Mathematics By Claudia Henrion, Natasha Keith, Sandra Z. Keith

Humanistic Mathematics Network Journal

No abstract provided.

Imaginary, Lawrence Mark Lesser

Humanistic Mathematics Network Journal

No abstract provided.

The Role Of Values In Mathematics Education, Murad Jurdak

Humanistic Mathematics Network Journal

No abstract provided.

Anneli Lax: In Memoriam, Elena Anne Corie Marchisotto

Humanistic Mathematics Network Journal

No abstract provided.

What Is The Thing Called “Humanistic Mathematics?”, Tamar Apel

Humanistic Mathematics Network Journal

No abstract provided.

A Reflection On The Word: Remembering The Word “Word” Is Reflexive, Paul Fjelstad, Ivan Ginchev

Humanistic Mathematics Network Journal

No abstract provided.

Math Is A Subject That Is The Best, Alexandra Holliday

Humanistic Mathematics Network Journal

No abstract provided.

Numbers, Shea Ybarra

Humanistic Mathematics Network Journal

No abstract provided.

Circles, Valentino Loiacono

Humanistic Mathematics Network Journal

No abstract provided.

Math Is Really Great, Eric Rasyidi

Humanistic Mathematics Network Journal

No abstract provided.

A Collection Of Ideas On Systems And Their Extensions, Paul Fjelstad

Humanistic Mathematics Network Journal

No abstract provided.

One Plus One, Mae Talle

Humanistic Mathematics Network Journal

No abstract provided.

Book Review: What Is Mathematics, Really? By Reuben Hersh, Harald M. Ness

Humanistic Mathematics Network Journal

No abstract provided.

Adding Is As Easy As One, Two, Three, Marshall Sachs

Humanistic Mathematics Network Journal

No abstract provided.