Do you think Logic is a dry, boring subject? It’s not! Not when Fred teaches it. What other math book has a chapter titled “Stinky Logic?” This book doesn’t have bothersome “problems” or strenuous “exercises.” It has delightful “puzzles,” instead. It has serious mathematical Logic, from the basics to advanced topics.
As usual, Fred has adventures. Duck comes back. Fred is pressured to buy life insurance for his wife (Fred isn’t married). Fred “beeps” the nose of 128 lions.
Suitable as a high school text (first six chapters) or as a college text (all 16 chapters).
Sentences in logic
Connectives
Inductive reasoning
Seventeen logic fallacies
Predicate logic
Syllogisms
Quantifiers
Proofs in predicate logic
Direct and indirect proofs
Set theory as a predicate logic structure
Axiom systems: consistent, complete, meaningful, independent, and recursive
Arithmetic model
Gödel numbering of symbols, sentences, and proofs
Proof of the Diagonal Lemma
Gödel’s Completeness theorem
Gödel’s two Incompleteness theorems and their proofs
Many puzzles and their complete solutions
