








Information Processing Volume I: Boolean Algebra, Classical Logic, Cellular Automata, and Probability Manipulations












Publisher:  David J. Blower, Third Millennium Inferencing (Pensacola, FL) 
  






Boolean Algebra  Logic Functions  Cellular Automata  Analogies Between Formal Manipulations  Fundamental Rules of Probability  Bayes's Theorem  Generalizing Logic with Probability  Deterministic Cellular Automata  Probabilistic Cellular Automata  Logic Puzzles  Formal Rules for Prediction  Extending the Formal Rules for Prediction  Predicting College Success  Predicting College Success When Data Are Available  What Does Uniformed Mean?  Predicting the Behavior of Cellular Automata?  Introduction to Mathematica through Logic Functions  Boolean Functions and Mathematica  Mathematica Program for Cellular Automata  Proving De Morgan's Axioms with Mathematica  The Mathematica Code Used to Compute the Probability of Future Frequency Counts






This book begins the task of defining, explaining, arguing for, and, in the end, providing a rationale for information processing. Volume I is concerned with the notion that an information processor is mainly engaged in making inferences. An information processor would prefer to reach definite conclusions by using some form of deduction. Unfortunately, it is often thwarted in this desire by a fundamental lack of relevant information. Probability theory has developed as a rigorous way of dealing with the uncertainty surrounding inference. Thus, we begin by treating some of the formal manipulation rules that crop up in probability theory. To provide some foundational basis for the applications to appear in later Volumes, the topics of Boolean Algebra, Classical Logic, and Cellular Automata will make an appearance here. Several Appendices take on the further task of providing an introduction to Mathematica. This ancillary material supplies us with a universal notion, as well as a means for solving problems that could not be undertaken without the assistance of machine intelligence.












Boolean, Manipulation, Logic, Orthonormal







   
 
