[120:1] Ernst Mach: Science of Mechanics. Translation by McCormack, p. 464. No one has made more important contributions than Professor Mach to a certain definite modern philosophical movement. Cf. § [207].
[129:2] Whewell: History of the Inductive Sciences, Vol. I, p. 289. Quoted from Kepler: Mysterium Cosmographicum.
[129:3] Quoted by Sidgwick in his Philosophy, its Scope and Relations, p. 89.
[132:4] The reader is referred to Mr. Bertrand Russell's chapters on matter and motion in his Principles of Mathematics, Vol. I. Material particles he defines as "many-one relations of all times to some places, or of all terms of a continuous one-dimensional series t to some terms of a continuous three-dimensional series s." Similarly, "when different times, throughout any period however short, are correlated with different places, there is motion; when different times, throughout some period however short, are all correlated with the same place, there is rest." Op. cit., p. 473.
[137:5] That the scientist still permits himself to teach the people a loose exoteric theory of reality, is proven by Professor Ward's citation of instances in his Naturalism and Agnosticism. So eminent a physicist as Lord Kelvin is quoted as follows: "You can imagine particles of something, the thing whose motion constitutes light. This thing we call the luminiferous ether. That is the only substance we are confident of in dynamics. One thing we are sure of, and that is the reality and substantiality of the luminiferous ether." Vol. I, p. 113.
[140:6] Berkeley: Principles of Human Knowledge, Introduction. Edition of Fraser, p. 248.
[142:7] The reader who cares to pursue this topic further is referred to the writer's discussion of "Professor Ward's Philosophy of Science" in the Journal of Philosophy, Psychology and Scientific Methods, Vol. I, No. 13.