[FOM] Book: Michał Walicki's Introduction to Mathematical Logic (Extended Edition)

Qi Wen NG qwng at wspc.com.sg
Wed Nov 11 04:50:20 EST 2015


Forthcoming book: Introduction to Mathematical Logic (Extended Edition) 
by Michał Walicki

This is a systematic and well-paced introduction to mathematical logic. 
Excellent as a course text, the book presupposes only elementary 
background and can be used also for self-study by more ambitious 
students. The first edition was a bestseller. This revised edition 
contains also, besides many new exercises, a new chapter on semantic 
paradoxes. An equivalence of logical and graphical representations 
allows us to see vicious circularity as the odd cycles in the graphical 
representation and can be used as a simple tool for diagnosing paradoxes 
in natural discourse.

Starting with the basics of set theory, induction and computability, it 
covers propositional and first order logic — their syntax, reasoning 
systems and semantics. Soundness and completeness results for Hilbert's 
and Gentzen's systems are presented, along with simple decidability 
arguments. The general applicability of various concepts and techniques 
is demonstrated by highlighting their consistent reuse in different 
contexts.

For more information, kindly visit 
http://www.worldscientific.com/worldscibooks/10.1142/9783


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