Classical Recursion Theory

In ancient times, scholars such as Confucius and Aristotle expounded on the virtue of the “middle way” or “intermediate,” an ideal point of moderation or balance between the extremes of human behavior. Adam Smith, widely considered the father of modern economics as we know it, also encouraged propriety in his first work, The Theory of Moral Sentiments. Since then, different schools of economics have continued to incorporate the idea of propriety into their theories, for example in such concepts as equilibrium and bounded rationality, though few economists have defined it explicitly. In light of growing uncertainty and polarization around the world, propriety economics offers alternative solutions for markets, governments, and everyday citizens.This book embarks on a thorough review of Eastern and Western philosophies of propriety over the past 2,500 years, followed by an investigation of the ideas of propriety found in five key schools of economics: classical, neoclassical, institution

Veteran home educator Susan Wise Bauer outlines the classical pattern of education called the trivium, which organizes learning around the maturing capacity of the child's mind and comprises three stages: the elementary school "grammar stage," the middle school "logic stage," and the high school "rhetoric stage." Using this theory as your model, you'll be able to instruct your child--whether full-time or as a supplement to classroom education--regardless of your own aptitude in any subjects. Thousands of parents and teachers have already used the detailed book lists and methods described in The Well-Trained Mind to create a truly superior education for the children in their care. This new revised edition contains an updated chapter on applying to colleges and links to a new set of online resources. You do have control over what and how your child learns. The Well-Trained Mind will give you the tools you'll need to teach your child with confidence and success.

The Good, the Right, and the Real: Is Value a Fact? argues for a strongly objective understanding of ethics. This book offers a cumulative case for robust moral objectivity, the combination of both prescriptivity and objectivity. It provides positive arguments to believe in morality realistically construed, from Moorean arguments to indispensability arguments; from partners in guilt arguments to C. S. Lewis's arguments in The Abolition of Man, and more. This book outlines critiques of such moral objectivity ranging from queerness objections and moral arguments against morality to debunking objections to moral knowledge. It offers critiques of several alternative views like those of Friedrich Nietzsche, error theory, classical expressivism, constructivism, and sensibility theory. In the process of endorsing a generous empiricism and expansive conception of rationality, it delves into evidential considerations that go beyond the purely philosophical. This book argues that a supernaturali

This enthusiastic introduction to the fundamentals of information theory builds from classical Shannon theory through to modern applications in statistical learning. Includes over 210 student exercises, emphasising practical applications in statistics, machine learning and modern communication theory. Accompanied by online instructor solutions.

When we talk about a jazz "standard" we usually mean one of the many songs that jazz musicians repeatedly play as part of their core repertoire. But unlike musical works in the tradition of so-called classical music, standards--whether plucked from the "Great American Songbook" or from recordings by other jazz musicians--are always being transformed in performance. They are rearranged and improvised upon, given new chords and altered melodies. These transformations might be small and seemingly unimportant, or they might be radical revisions. Which raises the question: across all of these various performances, what gives a standard its identity? In Hearing Double author Brian Kane answers that question by offering a new theory of musical works that can account for the unique challenges presented by standards. Building from the bottom up--from the actual practices of jazz musicians toward their philosophical implications--he gives a comprehensive theory of how a standard can undergo radi

This book embarks on a thorough review of Eastern and Western philosophies of propriety over the past 2,500 years, followed by an investigation of the ideas of propriety found in five key schools of economics: classical, neoclassical, institutional, behavioral, and cultural economics. The author then outlines the core principles and recommended practices for the study and implementation of propriety economics in the future. With its unique mixture of theory, literature reviews, methods, and case studies, this book will be useful not only to economic scholars, but also historians, policy makers, and any reader with an interest in making the economy work better for the benefit of all humankind.