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No. 86: Mar-Apr 1993

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Math's mystery

In extolling J. Barrow's new book, Pi in the Sky, T. Siegfried first reiterates a point made in past issues of SF, namely, that mathematics is a logical system and that we have no right to expect it is correspond structurely with a physical system. In other words, math and nature are fundamentally different entities. Nevertheless, as Barrow stated in a recent interview:

"If we were just inventing mathematics from our everyday experience, we would find that it would work really rather well in those areas from which that intuition was gained. But we find almost the opposite...It works most powerfully and persuasively in areas that are farthest removed from the everyday experience that has led to it."

Mathematics, for example, leads to verities in quantum mechanics far outside the realm of daily experience. Why is this so?

The puzzle deepens when one discovers that there are different kinds of math based upon different forms of logic (as in Euclidian and non-Euclidian geometries). Some brands of mathematics mirror reality better than others. Why?

In trying to dispose of these "whys," both matematicians and scientists fall back on the anthropic principle with all its unsatisfying tautological overtones:

"...the universe is the way it is because that's the way it has to be for anybody to be around to study it. And perhaps math works so well in studying the universe because math, too, must be the way it is in order for anybody to be around to do the calculations. So maybe the existence of communicating creatures requires a correspondence between the physical universe and mathematics. [??]"

(Siegfried, Tom; Dallas Morning News, p. 7D, January 4, 1993. Cr. L. Anderson)

From Science Frontiers #86, MAR-APR 1993. 1993-2000 William R. Corliss

Science Frontiers Sourcebook Project Reviewed in:

Quotes

  • "A sourcebook of unexplained phenomena is therefore a valuable addition to a collection of scientific literature. William R. Corliss has provided this in the past with his source books of scientific anomalies in several subjects, and now he has provided it for astronomy. He has done an excellent job of collecting and editing a large amount of material, taken in part from scientific journals and in part from scientific reporting in the popular or semi-scientific press." -- "The Mysterious Universe: A Handbook of Astronomical Anomalies", reviwed by Thomas Gold, Cornell University, in Icarus, vol.41, 1980

  • "An interesting, systematic presentation of unusual weather [..] This book is recommended for a general audience" --"Corliss, William R., Tornados, Dark Days, Anomalous Precipitation, and Related Weather Phenomena, Sourcebook Project, 1983.", revieweed in Choice, September 1983
  • "..the science is necessarily somewhat speculative, but Corliss's symthesis is based on reputable sources." -- "Corliss, William R. (Compiler). Lightning, Auroras, Nocturnal Lights, and Related Luminous Phenomena" reviwed by Joseph M. Moran, Univ. of Wisconsin in Science Books and Films, Sep/Oct 1983

  • "Before opening the book, I set certain standards that a volume which treads into dangerous grounds grounds like this must meet. The author scrupulously met, or even exceeded those standards. Each phenomenon is exhaustively documented, with references to scientific journals [..] and extensive quotations" -- "Book Review: The moon and planets: a catalog of astronomical anomalies", The Sourcebook Project, 1985., Corliss, W. R., Journal of the Royal Astronomical Society of Canada, Vol. 81, no. 1 (1987), p. 24., 02/1987