edited by Ronald E Mickens (Clark Atlanta University)

The purpose of this review volume is to present the opinions of a number of distinguished individuals who have given careful thought as to why mathematics is so “unreasonably effective” when applied to the analysis of the natural sciences.

• 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? (P Doreian)
• Fundamental Roles of Mathematics in Science (D Greenspan)
• Inner Vision, Outer Truth (R Hersh)
• Mathematics and the Natural Order (W G Holladay)
• A Few Systems-Colored Views of the World (Yi Lin)
• The Reasonable Effectiveness of Mathematical Reasoning (S Mac Lane)
• Three Aspects of the Effectiveness of Mathematics in Science (L Narens & R D Luce)
• Mathematics and Natural Philosophy (R L Oldershaw)
• Mathematics and the Language of Nature (F David Peat)
• The Reason Within and the Reason Without (J Polkinghorne)
• The Modelling Relation and Natural Law (R Rosen)
• Structure and Effectiveness (L V Shelton)
• Psychology and Mathematics (J T Townsend & H Kadlec)
• Ariadne's Thread: The Role of Mathematics in Physics (H C von Baeyer)
• The Disproportionate Response (B J West)
• The Unreasonable Effectiveness of Mathematics in the Natural Sciences (E P Wigner)
• The Effectiveness of Mathematics in Fundamental Physics (A Zee)