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A LOGIC OF EXCEPTIONS provides the concepts and tools for sound inference.
Discussed are: (1) the basic elements: propositional operators, predicates and sets; (2) the basic notions: inference, syllogism, axiomatics, proof theory; (3) the basic extra�s: history, relation to the scientific method, the paradoxes. The new elements in the book are: (4) a logic of exceptions, solutions for those paradoxes, analysis of common errors in the literature, routines in Mathematica (a system for doing mathematics on the computer).
The book is intended to be used in the first year of college or university. The last two chapters require a more advanced level that is worked up to.
More information at http://thomascool.eu/Papers/ALOE/Index.html