Annotations to James Joyce's Ulysses/Telemachus/018
018.05 proves by algebra This is explained more fully on 028.18, within context.
We have grown out of Wilde and paradoxes Oscar Wilde, The Picture of Dorian Gray, Chapter Two: "The few words that Basil's friend [Lord Henry Wotton] had said to him—words spoken by chance, no doubt, and with wilful paradox in them...."
018.16 Elsinore The castle in Shakespeare's Hamlet. The italicized line is a quote from act 1 scene 4, line 77, in which Horatio describes the way the cliff hangs over its base.
018.33 The Ballad of Joking Jesus The song inscribed in the text is a modified form of the poem The Song of the Cheerful (but slightly Sarcastic) Jesus by Oliver St. John Gogarty. Joyce uses it as a continued satirical comment on the Catholic church by having Mulligan sing, who has taken on the voice of the maudlin priest in this mass. Dedalus refers to it as a prayer on 019.23, saying that he has heard the joke three times daily, after meals.