Chromatic Fantasy, And Feud

Overview
A short dialogue bearing hardly any resemblance, except in title, to Bach's Chromatic Fantasy and Fugue''. It concerns the proper way to manipulate sentences to preserve truth -- and in particular the question of whether there exist rules for usage of the word "and". This dialogue has much in common with the dialogue by Lewis Carroll. ''(pp. ix-x)

Questions

 * 1) Is the system of logic the Tortoise is using inconsistent, incomplete, or both?
 * 2) Can you think of two true propositions that have a possibly untrue meaning when joined with the word "and" in English?
 * 3) In the context of the previous chapter, which part of Bach's Chromatic Fantasy and Fugue (the music referred to below) would be most likely to be understood by an alien civilization receiving it on a phonograph record?

Music
The title is a pun on Bach's "Chromatic Fantasy and Fugue in d minor" (BWV 903). Despite that Hofstadter disclaims any relationship between this dialogue and the music it's named after, feel free to enjoy the music, accompanied by a visualization of the sheet music courtesy of the Scrolling Bach Project.