CHAPTER V. MATHEMATICS AND THE AGE OF THE EARTH. Mathematics is an Experimental Science. § 223. That the study of the theory of a physical science should be preceded by some general experimental acquaintance therewith, in order to secure the inimitable advantage of a personal acquaintance with something real and living, will probably be agreed with by most persons. After, however, the general experimental knowledge has been acquired, accompanied with just a sufficient amount of theory to connect it together and render its acquisition easier and more interesting, it becomes possible to consider the theory by itself, as theory. The experimental facts then go out of sight, in a great measure, not because they are unimportant, but because they become subordinate to the theory in a certain sense, and, we might also add, because they are fundamental, and the foundations are always hidden from view in well-constructed buildings. So it comes about that a great theoretical work like Maxwell
Table of Contents
CONTENTS OF VOLUME II; [The dates within brackets are the dates of first publication]; CHAPTER V; MATHEMATICS AND THE AGE OF THE EARTH (Pages 1 to 29); 8kctioh pagk; 223 [Nov 23, 1894] Mathematics is an Experimental Science 1; 224 Rigorous Mathematics is Narrow, Physical Mathematics Bold; and Broad 4; 225 Physical Problems lead to Improved Mathematical Methods 8; 226 [Dec 14, 1894] " Mathematics-and Mathematics" Remark-; able Phenomenon 10; 227 The Age of the Earth Kelvin's Problem 12; 228 Perry's Modification Remarkable Result 14; 229 Cooling of an Infinite Block composed of Two Materials 16; 230 Large Correction for Sphericity in Perry's Problem 18; 231 Remarks on the Age of the Earth 19; 232 [Dec 21,1894] Peculiar Nature of the Problem of the Cooling; of a Homogeneous Sphere with a Resisting Skin 20; 233 Cooling of a Body of Variable Conductivity and Capacity but; with their Product Constant 22; 234 Magnitude o