Abstract

On the effectiveness and limits of mathematics in physics / A.O. Barut -- Why is the universe knowable? / P.C.W. Davies -- Mathematics in sociology: Cinderella's carriage or pumpkin? / Patrick Doreian -- Fundamental roles of mathematics in science / Donald Greenspan -- Inner vision, outer truth / Reuben Hersh -- Mathematics and the natural order / Wendell G. Holladay -- A few systems-colored views of the world / Yi Lin -- The reasonable effectiveness of mathematical reasoning / Saunders Mac Lane -- Three aspects of the effectiveness of mathematics in science / Louis Narens and R. Duncan Luce -- Mathematics and natural philosophy / Robert L. Oldershaw -- Mathematics and the language of nature / F. David Peat -- The reason within and the reason without / John Polkinghorne -- The modelling relation and natural law / Robert Rosen -- Structure and effectiveness / La Verne Shelton -- Psychology and mathematics / James T. Towns end and Helena Kadlec -- Ariadne's thread: the role of mathematics in physics / Hans C. von Baeyer -- The disproportionate response / Bruce J. West -- The unreasonable effectiveness of mathematics in the natural sciences / Eugene P. Wigner (reprint) -- The effectiveness of mathematics in fundamental physics / A. Zee.