There are several ideas to watch for in ch. 13.
• Think about the example Russell uses to distinguish knowledge from true belief (¶¶13.2). A very similar example was offered fifty years after Russell to distinguish knowledge also from true justified belief, and it influenced discussions of knowledge for a couple decades thereafter.
• Although Russell's prime topic is intuitive knowledge, his brief remarks on derivative knowledge (¶¶¶13.4-13.7) also address important issues.
• Russell's account of intuitive knowledge (¶¶¶13.8-13.16) returns to and completes his discussion in chapter 11, now using ideas from chapter 12.
• Think also about Russell's definitions of knowledge and related ideas (¶¶¶13.17-13.18). The definition is not original; it is nearly identical with Locke's and the basic idea goes back to Aristotle. But it is also not obviously correct (or even in agreement with Russell's use of the word "knowledge" earlier in the book); and most recent philosophers interested in the concept of knowledge have taken different approaches.