^{page 301 note 1} For this definition I am indebted to my friend Mr. A. E. Blumberg.

^{page 301 note 2} Cf. Russell, Whitehead, Wittgenstein.

^{page 301 note 3} Cf. the God of Spinoza.

^{page 301 note 4} Cf. Einstein, Geometrie und Erfahrung, etc., in Relitivitatstheorie.

^{page 301 note 5} Analysis of Mind, p. 96.

^{page 302 note 1} Cf. the pure rationality of mathematics, the pure empiricism of physics, and the mixed (therefore empirical) method of history.

^{page 303 note 1} Cf. Burtt, E. A., The Metaphysics of Sir Isaac Newton, p. 13Google Scholar. Russell, B., Introduction à la philosophie mathématique, p. 8Google Scholar. Whitehead, A. N., Science and the Modern World, chap, iii, p. 67.Google Scholar

^{page 304 note 1} Cf. Whitehead, , op. cit., chap, i, p. 3.Google Scholar

^{page 305 note 1} Sum. Theol., I. II. 2.

^{page 305 note 2} Ibid., I. II. 3.

^{page 306 note 1} Analysis of Mind, pp. 93–4.

^{page 306 note 2} Ibid., p. 98.

^{page 306 note 3} Sum. Theol., I. II. 3, and cf. Sum. C. Gen., XIII. The whole of St. Thomas's argument should be read.

^{page 307 note 1} “There is certainly no logical reason against infinite collections.” Russell, , Int. Math. Phil., p. 76.Google Scholar

^{page 307 note 2} Metaphysics of Sir Isaac Newton, p. 13.

^{page 308 note 1} Sum. Theol., I, II. 3.

^{page 308 note 2} Ibid.

^{page 308 note 3} Cf. Ibid., I. II. 1, and Russell, Int. Math. Phil., p. 204.

^{page 310 note 1} Sum. Theol., I. II. 3.

^{page 310 note 2} Burtt, E. A., Metaphysics of Sir Isaac Newton: “Science is the exact mathematical formulation of the processes of the natural world,” p. 223.Google Scholar Note: mathematical, therefore not causal sequences.

^{page 310 note 3} Cf., however, Whitehead’s “Principle of Concretion” in Science and the Modern World, and Alexander’s Space, Time and Deity.