Elliott Mendelson (1931–2020)

Indeholder "Foreword by Elliott Mendelson, January 1963", "Introduction", "Chapter 1. The Propositional Calculus", " 1. Propositional Connectives. Truth Tables", " 2. Tautologies", " 3. Adequate Sets of Connectives", " 4. An Axiom System for the Propositional Calculus", " 5. Independence. Many-Valued Logics", " 6. Other Axiomatizations", "Chapter 2. Quantification Theory", " 1. Quantifiers", " 2. Interpretations. Satisfiability and Truth. Models", " 3. First-Order Theories", " 4. Properties of First-Order Theories", " 5. Completeness Theorems", " 6. Some Additional Metatheorems", " 7. Rule C ", " 8. First-Order Theories with Equality", " 9. Definitions of New Function Letters and Individual Constants", " 10. Prenex Normal Forms", " 11. Isomorphism of Interpretations. Categoricity of Theories", " 12. Generalized First-Order Theories. Completeness and Decidability", "Chapter 3. Formal Number Theory", " 1. An Axiom System", " 2. Number-Theoretic Functions and Relations", " 3. Primitive Recursive and Recursive Functions", " 4. Arithmetization. Gödel Numbers", " 5. Gödel's Theorem for S", " 6. Recursive Undecidability. Tarski's Theorem. Robinson's System", "Chapter 4. Axiomatic Set Theory", " 1. An Axiom System", " 2. Ordinal Numbers", " 3. Equinumerosity. Finite and Denumerable Sets", " 4. Hartogs' Theorem. Initial Ordinals. Ordinal Arithmetic", " 5. The Axiom of Choice. The Axiom of Regularity", "Chapter 5. Effective Computability", " 1. Markov Algorithms", " 2. Turing Algorithms", " 3. Herbrand-Gödel Computability. Recursively Enumerable Sets", " 4. Undecidable Problems", "Appendix. A consistency proof for formal number theory", "Bibliography", "Index".

Lærebog i matematisk logik, mængdelære, aksiomsystemer, rekursivt enumerable mængder, uafgørlige problemer og meget andet, der læner sig en del op af datalogi.… (més)

I use it, but this book makes me angry.

Actually, what makes me angry is the fact that for the Schaum's series there is no way (that I have been able to find) by which one can report errata. This would be a moot point if the books were perfect and error-free. This one certainly is not. My math skills are quite rusty and I am finding abundant errors and goofs.

This book has a copyright date of 1988, and mine is the latest printing ... in over twenty years they haven't been able to correct simple errors? I even hunted down the name/email of the McGraw-Hill editor responsible for the series and have emailed him twice: no response.

So the impression I'm getting from the company is: here it is, it's the only thing of it's kind, but we're never going to lift a little finger to improve it, so how do you like being over a barrel? Screw you, customer!

Sorry if that is hyperbolic.… (més)