Two elements of non-human intelligence form the central focus of this book. First, the intelligent beings who trained the man apes and left behind the big black slab on the moon capture the imagination of the humans who discover TMA-1 and, ultimately, develop a space project aimed at further exploring them. Second, Hal is an intelligent being created by Man. Not only can he can essentially control a space shuttle flight, but also he can converse with a human, almost as if he were one himself.
Both of these elements force humans to put their own intelligence into perspective. On the one hand, they are not uniquely intelligent, as they can no longer conceive of themselves as supremely special. Secondly, Hal shows the limitations and potential harms of intelligence. If Hal been a little less intelligent, he would have never rebelled and the death that resulted from his rebellion would not have occurred.
Further, both of these types of intelligence demonstrate the limitations of human knowledge about intelligence. First, those who left the black slab behind are far more advanced than humans could imagine. They display a different and more advanced intelligence than we can fathom. Second, Hal's malfunctioning represents a limitation on the understanding of those who created him. They did not realize that the intelligent machine they were creating might eventually become self-conscious. The destruction that follows because of this could have been averted if Hal's developers had a greater understanding of artificial intelligence and they had been able to create a machine that could perform all of Hal's functions without becoming self-aware and developing "free will."