CHAPTER V, sections 10-21. See Chapters VIII and IX, "System of Metaphysics," "The Distinction between Appearance and Reality" and "The Significance of the Distinction."
Section 22. See Chapter XXVI, "The World as Unperceived, and the 'Unknowable,'" where Spencer's doctrine is examined at length, and references are given. I think it is very important that the student should realize that the "Unknowable" is a perfectly useless assumption in philosophy, and can serve no purpose whatever.
CHAPTER VI, sections 23-25. See Chapters X and XI, "System of Metaphysics," "The Kantian Doctrine of Space" and "Difficulties connected with the Kantian Doctrine of Space."
It would be an excellent thing for the student, after he has read the above chapters, to take up Kant's "Critique of Pure Reason," and read and analyze the argument of Antinomies I and II, with the Observations appended. One can understand these arguments without being familiar with the "Critique" as a whole; at any rate, the account of Kant's philosophy contained in section 51 of this book will serve to explain his use of certain terms, such as "the laws of our sensibility."
Kant's reasonings are very curious and interesting in this part of his book. It seems to be proved that the world must be endless in space and without a beginning or end in time, and just as plausibly proved that it cannot be either. It seems to be proved that finite spaces and times are infinitely divisible, and at the same time that they cannot be infinitely divisible. The situation is an amusing one, and rendered not the less amusing by the seriousness with which the mutually destructive arguments are taken.
When the student meets such a tangle in the writings of any philosopher, I ask him to believe that it is not the human reason that is at fault—at least, let him not assume that it is. The fault probably lies with a human reason.
Section 26. See Chapter XII, "The Berkeleian Doctrine of Space," in my "System of Metaphysics." The argument ought not to be difficult to one who has mastered Chapter V of this volume.
CHAPTER VII, sections 27-29. Compare Chapter XIII, "System of Metaphysics," "Of Time."
With the chapters on Space and Time it would be well for the student to read Chapter XIV, "The Real World in Space and Time," where it is made clear why we have no hesitation in declaring space and time to be infinite, although we recognize that it seems to be an assumption of knowledge to declare the material world infinite.