Though these are caricatures, everyone has some such picture of the family and societyinmind when they talk about family decline and the loss of innocence.
Only a kind of religious faith in the ability of the human mind to represent the fabric of society mathematically could have led to such confidence in these models.
But a read of them does give a glimpse into Keyes' mind, apparently describing how it felt to take a life and the disdain in which he held much of American society.