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At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this expansion of Leary's user-friendly 1st edition, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study. Updating the 1st Edition's treatment of languages, structures, and deductions, leading to rigorous proofs of Gödel's First and Second Incompleteness Theorems, the expanded 2nd Edition includes a new introduction to incompleteness through computability as well as solutions to selected exercises.

This book helps boards assess performance and make decisions to improve the effectiveness of the governance process. Each chapter deals with one of the nine dimensions of governance effectiveness. It starts with the items dealing with that dimension on the Board Performance Self-Assessment Questionnaire. These items represent the symptoms that indicate possible issues, problems or challenges faced by the board. This is followed by a discussion of possible reasons that such symptoms might exist (diagnosis) The third part of each chapter looks at what might be done to alleviate the symptoms once a diagnosis is made (treatment). Included in this final part of the chapter are references to websites, books and articles that provide additional advice and assistance on how to deal with the issues raised.