Mathematical Logic

Un guide concis mais complet à la logique mathématique et la théorie des ensembles.

A clear, rigorous and thorough exposition of:

*The Propositional Calculus

*The Predicate Calculus

*Set Theory

*The different kinds of continuity and their respective natures

*The different kinds of number: cardinal, ordinal, rational, real, complex, hyper-complex, and transfinite

*The set-theoretic foundations of cardinal arithmetic and the various generalizations thereof

*The nature of formal languages

*Diagonalization and Incompleteness

*The nature of logic and of formal truth, and

*A proof of the incompleteness of any given system of deduction.