In this excerpt from Leo Tolstoy's The Death of Ivan Ilyich, how does Ivan Ilyich use the Caius allusion to deal with his impending death?

In the excerpt from Leo Tolstoy's The Death of Ivan Ilyich, Ivan Ilyich uses the Caius allusion to deal with his impending death by employing logic even with his last moments in his life. He attempts to make sense of his death with logic alluded by Caius' analogy.