This document provides a summary of James Rachels' chapter on "Egoism and Moral Sceptism" from the book Contemporary Moral Problems. The summary discusses: 1) The key concepts of egoism, psychological egoism, and ethical egoism. 2) Two common arguments for psychological egoism and Rachels' responses to them. 3) Three common confusions Rachels identifies in arguments for psychological egoism. 4) The argument that ethical egoism is inconsistent because it cannot be universally applied, and why Rachels accepts this argument.