Kripke finishes his introductory remarks by carrying further his discussion of two ideas introduced earlier in the lecture.

• First he completes his discussion of modalities de re. He introduces the idea of a rigid designator and states his view of proper names in terms of it (pp. 47-49). He then distinguishes the issue of transworld identification from a question concerning the identification of objects in terms of their parts (pp. 49-53).

• The second part of this assignment centers on the distinction between giving meaning and fixing reference (pp. 53-60). Kripke first offers an illustration of the distinction that also provides an example of a contingent truth known a priori (pp. 53-57). He then extends these ideas to the case of proper names (pp. 57-60), in the course of this (pp. 58-59) indicating two ways of understanding the Frege-Russell theory of proper names.