quarta-feira, 23 de novembro de 2011

Mathematical Sciences..discussions that treat various aspects of mathematics, computer science, and related fields from a Christian perspective.

Mathematical Sciences..discussions that treat various aspects of mathematics, computer science, and related fields from a
Christian perspective.

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Recently, geneticist Francis Collins described the experience of watching his teacher Nobel laureate Willis Lamb elucidate the principles of relativity and quantum mechanics by "deriving simple and beautiful universal equations from first principles. Were these mathematical descriptions along with DNA another language of God?" - Language of God 2006 , pp. 62, 63.

GalileoStampMuch earlier, Galileo in the early 17th Century claimed that the universe (or at least the planetary part) could not be understood "unless one first studies its language whose characters are triangles, circles, and other geometrical figures, without which it is humanly impossible to understand a single word of it." -
God and Nature 1986, p.123.)
His comment offers confirmation to historians of the Scientific Revolution who attribute the widespread application of mathematical methods to the physical world as the signal contribution of the seventeenth century to the earlier scientific tradition. While scientists have reason to appreciate the "unreasonable effectiveness of mathematics" (Eugene Wigner) pure mathematics is carried out without without any concern for useful applications. Andrew Philip's short review suggests paths to relating mathematics and Christianity.

Two recent books, Mathematics and the Divine: A Historical Study (2005) and Foundations From God: Mathematics and Victorian Faith (2007), are reviewed in the book section below


Introduction to the field

Mathematics and Christianity has only recently developed sufficient constituency to actively organize and publish a journal. The Association of Christians in the Mathematical Sciences (ACMS) formally organized in 1985. The computer science subgroup of the ACMS, which consists of computer scientists and mathematicians who teach computer science, also maintains a webpage.

Blaise Pascal--Wikipedia

The 2004 Inaugural Issue; of the Journal of the ACMS provides an excellent introduction this diverse field. The Journal continues to offer thoughtful articles.



Videos

Oxford Professor, mathematician John Lennox:

Creator or the Multiverse? Does the fine tuning of the universe point to God or an infinite collection of universes? 8 Minutes

Christianity and the tooth fairy Does science deal with reality and religion with everything else? 8 Minutes

Do Robots Have Feelings? Dr. Rosalind Picard (MIT) at The Veritas Forum at Rice Youtube 7 Minutes


General Articles

James Bradley, An Augustinian Perspective on the Philosophy of Mathematics, Journal of the Association of Christians in the Mathematical Sciences, November 2007.

expensivetextFrom a Christian perspective, both modern and post-modern approaches to the philosophy of mathematics have significant shortcomings. This paper explores an alternative. It summarizes Augustine of Hippo's views on the four classical themes of the philosophy of mathematicsthe ontology of mathematical objects, their epistemology, the nature of truth in mathematics, and how we account for the effectiveness of mathematics in describing the natural world. It then traces what has happened to Augustine’s perspective in the roughly 1600 years since it was written concluding with a discussion of some spiritual and intellectual problems with the currently dominant secular perspective.

Gary De Young, "Perspective on Mathematical Modeling." Pro Rega June 2010: 1-10.

The mathematical modeling process is an iterative scheme by which we try to refine our understanding of a physical-world phenomenon by translating assumptions about the phenomenon into mathematical language where mathematical results are discovered, which are then translated back to a physical world meaning.

A Christian professor reflects on his life and work in mathematics

Anderson, Kerby "Computers and the Information Revolution" (web link)

Carlos Bovell, Pairing and Plus-ing the Godhead: An Algebraic Analogy,PSCF 55 (September 2003):166-174.
This essay is an exercise in the integration of mathematics and theology. Its purpose is to show the usefulness of mathematics with regard to theological discourse. The author explores the problem of the Trinity and illuminates certain factors that contribute to our failure in comprehending it. An algebraic analogy is employed that (approximately) represents the doctrine of the Trinity. The analogy serves to illustrate the means by which humans innately group and combine individual objects. Such combining and grouping, it is argued, obtains by means of a pairing mechanism. This binary mechanism, though capable in most mathematical enterprises, is inadequate when one considers the relations within the Trinity. Moreover, the
very operations that define our means of arithmetic conception fail to apprehend the divine perichoresis

Robert L. Brabenec, "The Impact of Three Mathematical Discoveries on Human Knowledge," JASA 30 (March 1978): 2-6.

The year 1826 is noteworthy, marking the discovery of non-Euclidean geometry. This discovery changed the way in which man thought about mathematics and led to a rapid growth of many new kinds of mathematical structures as well as the adoption of the axiomatic method as the format for these developments.

R. Judson Carlberg, My View: Ken Olsen, a lifetime of science and faith May 14, 2011.A summary of the life and work of a Christian pioneer in computer science.




Faw, Harold, "Does Scripture Support Standardized Tests," PSCF 42 (June 1990): 86-93.

A standardized test involves observations of an individual's behaviour made under specified conditions for the purpose of meaningfully comparing it with that of other people. Because of the very extensive use of these instruments, a storm of criticism has arisen and a great deal of misunderstanding surrounds them. While the critics have often been right, standardized tests do yield information which can facilitate good decision making. Provided we have a clear understanding of their limitations and we use them with a view toward service, standardized tests may indeed help to move us toward the goals of justice and equity.

Geertsema, Jan C., " A Christian View of the Foundations of Statistics" PSCF 39 (September 1987):158-164.

In order to develop a Christian approach to an exact science such as Statistics, it is useful to view such a science within the various broader contexts with which it is connected. Various contexts of Statistics are discussed and the relevant philosophical currents are indicated. These call for a Christian response, which is briefly touched on.
Hartley, A M., The Philosophy of the Law Idea and the Role of the Prescientific
 in Statistical Inference. Journal  of the Association of Christians in the Mathematical
Sciences, December 2004. 
  Joel  C. Adams,   Why Christians Should Study Computer Science (and other 
technical disciplines) 
H. Harold Hartzler, "The Meaning of Mathematics," JASA 1 (January 1949):13-19 An 
ASA Classic
 

Georg Cantor-- Wikepedia



Ladislav Kvasz, "The Invisible Link Between Mathematics and Theology ," PSCF 56 (June 2004):111-116.

Georg Cantor

Bruce A. Hedman, "
Georg Cantor (1845-1918) was a devout Lutheran whose explicit Christian beliefs shaped his philosophy of science.


Michael Veatch, "Mathematics and Values: Can Philosophy Guide Projects?," 1997.
This paper attempts to find points of contact between a Christian worldview and the choice of mathematical projects and methods.

Vern Polythress, A Biblical View of Mathematics (From Foundations of Christian Scholarship: Essays in the Van Til Perspective, Gary North Ed. 1976: 158-188.

Vern Polythress, Mathematics as Rhyme, JASA 35 (Dec 1983): 196-203. 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 truth, and the relation of mathematics to other areas of knowledge. A route is thereby opened for richer use of creativity in mathematics.

Wade, Rick "Pascal: An Apologist for Our Times," (web link)

Williams, Bill R., Dickerson, Mark S., "A Mathematical Analogue for a Model of the Trinity, " PSCF 56 (June 2004):102-110

Books

PLATOíS GHOST: The Modernist Transformation of Mathematics by Jeremy Gray. Princeton, NJ: Princeton University Press, 2008. 515 pages, glossary, bibliography, index. Hardcover. ASA Review

Hartley, Andrew M., Christian and Humanist Foundations for Statistical Inference (Eugene, Oregon: Wipf and Stock), 2007. Review by Steve Bishop UK

Daniel J. Cohen, Equations From God: Pure Mathematics and Victorian Faith, The John Hopkins University Press, 2007 PSCS Review by Calvin Jongsma

T. Koetsier and L. Bergmans, eds., Mathematics and the Divine A Historical Study Elsevier Science; (Dec 30 2004) MAA Review by Calvin Jongsma

John Byl, The Divine Challenge: on Matter, Mind, Math and Meaning, by Banner of Truth Trust, 2004. Paperback, 336 pp., $16.99. ISBN 851518877. MAA Review by Russell W. Howell)


Russell W. Howell and W. James Bradley, Mathematics in a Postmodern Age: A Christian Perspective, ed. by . Eerdmans, 2001. Paperback, 407 pp., $28.00. ISBN 0-8028-4910-5. MAA Review by Bonnie Gold

G. Chase and C. Jongsma, Bibliography of Christianity and Mathematics, 1st edition 1983, Messiah College








Fonte: http://www.asa3.org/ASA/topics/Mathematics/index.html


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