Introduction to Mathematical Logic by Alonzo Church English | Oct. 28, 1996 | ISBN: 0691029067 | 378 Pages | PDF | 27.5 MB
Logic is sometimes called the foundation of mathematics: the logician studies the kinds of reasoning used in the individual steps of a proof. Alonzo Church was a pioneer in the field of mathematical logic, whose contributions to number theory and the theories of algorithms and computability laid the theoretical foundations of computer science. His first Princeton book, The Calculi of Lambda-Conversion (1941), established an invaluable tool that computer scientists still use today.
A Friendly Introduction to Mathematical Logic by Christopher C. Leary English | 2000 | ISBN: 0130107050 | ASIN: B007BNIXL2 | 241 Pages | PDF | 7 MB
This book covers the central topics of first-order mathematical logic in a way that can reasonably be completed in a single semester. FVom the core ideas of languages, structures, and deductions we move on to prove the Soundness and Completeness Theorems, the Compactness Theorem, and Godel's First and Second Incompleteness Theorems. There is an introduction to some topics in model theory along the way, but I have tried to keep the text tightly focused.
Flawed, misleading, and false arguments are everywhere. From advertisers trying to separate you from your money, to politicians trying to sway your vote, to friends who want you to agree with them, your belief structure is constantly under attack.