Satan, Cantor, and Infinity and Other Mind-boggling Puzzles

Abstract

Part 1 Logical sorcery: the lie detective when I was a boy the abduction of Annabelle how Kazir won his wife a plague of lies on the other hand the Island of Partial Silence. Part 2 Puzzles and metapuzzles: memories of the sorceror's uncle the Planet Og metapuzzles. Part 3 Self-reproducing robots: the Island of Robots the quaint system of Professor Quincey from the ridiculous to the simple. Part 4 Goedelian puzzles: self-reference and cross-reference the sorceror's miniature Goedelian language how to silence a universal machine. Part 5 How can these things be?: something to think about! of time and change. PArt 6 Infinity: what is infinity? Cantor's fundamental discovery but some paradoxes arise! resolutions the continuum problem. Part 7 Hypergame, paradoxes and a story: hypergame paradoxical? Satan, Cantor and infinity.