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ISBN: 9781470454074 9781470452728 Year: 2019 Publisher: Providence American Mathematical Society
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The aim of this book is to present mathematical logic to students who are interested in what this field is but have no intention of specializing in it. The point of view is to treat logic on an equal footing to any other topic in the mathematical curriculum. The book starts with a presentation of naive set theory, the theory of sets that mathematicians use on a daily basis. Each subsequent chapter presents one of the main areas of mathematical logic: first order logic and formal proofs, model theory, recursion theory, Gödel's incompleteness theorem, and, finally, the axiomatic set theory. Each chapter includes several interesting highlights—outside of logic when possible—either in the main text, or as exercises or appendices. Exercises are an essential component of the book, and a good number of them are designed to provide an opening to additional topics of interest.
Book
Year: 2019 Publisher: Washington, D.C. : The World Bank,
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This paper examines constraints to adoption of new technologies in the context of hillside irrigation schemes in Rwanda. It leverages a plot-level spatial regression discontinuity design to produce 3 key results. First, irrigation enables dry season horticultural production, which boosts on-farm cash profits by 70 percent. Second, adoption is constrained: access to irrigation causes farmers to substitute labor and inputs away from their other plots. Eliminating this substitution would increase adoption by at least 21 percent. Third, this substitution is largest for smaller households and wealthier households. This result can be explained by labor market failures in a standard agricultural household model.
Agricultural Sector Economics --- Agriculture --- Horticulture --- Irrigation --- Irrigation and Drainage --- Labor Market --- Labor Markets --- Market Failures --- Social Protections and Labor --- Technology Adoption --- Water Resources
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