Bøger af Joseph C Kolecki

A physicist with an engineering background, the author presents a brief tutorial on logic. In his work at NASA and in his encounters with students, he has often found that a firm grounding in basic logic is lacking - perhaps because there are so many other demands on people that time simply cannot be taken to really examine the roots of human reasoning. This report provides an overview of this all-too-important subject with the dual hope that it will suffice insofar as it goes and that it will spur at least some to further study.

CONTENTSSummary IntroductionLogic and Reasoning Sets Logical Sentences and Truth SetsNumbersPrimes and FactorsIntervals of the Real LineRelationsEquivalenceOrderingMappingTransformationsFunctionsSequencesCurves, Surfaces, and RegionsMathematical SpacesAbstract AlgebraAppendixes A. Ideas From Various Mathematical Disciplines B. Divisibility of Integers in Base 10 (Integer10) C. Implications and Equivalences D. Conjunctions and Disjunctions E. Laws and Theorems of Logic F. Laws and Theorems of Set Algebra G. Properties of Continuous Functions H. Definitions and Theorems From Calculus I. Real-Valued Functions as a Vector Space J. Logical Puzzles and Paradoxes K. Basics of Aristotelian LogicBibliography