"George Murphy" – George Murphy, dancer, actor, U.S. Senator from California, and Robert F. Kennedy (D, NY), the putative third senator from Massachusetts
"The Folk Song Army" – Topical songs as part of the folk revival of the 1960s; also alludes to songs of the Republican side in the Spanish Civil War, especially "Venga Jaleo" which it excerpts musically (Lehrer: "Remember the war against Franco / That's the kind where each of us belongs / Though he may have won all the battles / We had all the good songs")
"Smut" – Censorship of obscenity, and the 1957 U.S. Supreme Court case Roth v. United States, which coined the expression "redeeming social importance" (Lehrer: "Give me smut and nothing but / A dirty novel I can't shut / If it's uncut / And unsubt...tle")
"New Math" – New Math, a trend at the time in the teaching of mathematics
"Alma" – Alma Mahler, who had recently died. Composer and painter; wife, successively, of Gustav Mahler, Walter Gropius, and Franz Werfel. (Lehrer: "It's people like that who make you realize how little you've accomplished. It's a sobering thought, for example, that when Mozart was my age, he had been dead for two years." Lehrer was 37 at the time of this recording; Mozart died at the age of 35.)
"Wernher Von Braun" – Rocket scientist Wernher von Braun (Lehrer: "And what will make it possible to spend $20 billion of your money to put some clown on the moon? Why, it's good ol' American know-how, that's what! Led by good ol' Americans like Dr. Wernher Von Braun.") (Another Lehrer quote: "Once the rockets are up,/ Who cares where they come down?/ That's not my department,/ says Wernher Von Braun".) Contrary to popular belief, Wernher von Braun did not sue Tom Lehrer for defamation, nor has Lehrer been forced to relinquish all of his royalty income to Von Braun. Lehrer firmly denied those claims in a 2003 interview.
"The Vatican Rag" – The Second Vatican Council and the reform of Roman Catholicliturgy (Upon performing this song in the Hungry i nightclub in San Francisco, Lehrer was harshly criticized by actor Ricardo Montalban, who happened to be in the audience that night. Montalban shouted, "How dare you make fun of my religion! I love my religion! I will die for my religion!" To which Lehrer responded, "That's fine with me, as long as you don't do it here.")