Ideal Theory
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Ideal Theory of Commutative Rings and Monoids
This book offers a concise treatment of multiplicative ideal theory in the language of multiplicative monoids. It presents a systematic development of the theory of weak ideal systems and weak module systems on arbitrary commutative monoids. Examples of monoids that are investigated include, but are not limited to, Mori monoids, Laskerian monoids, Prüfer monoids and Krull monoids. An in-depth study of various constructions from ring theory is also provided, with an emphasis on polynomial rings, Kronecker function rings and Nagata rings. The target audience is graduate students and researchers in ring and semigroup theory.
How Should We Live?
Author: John Kekes
language: en
Publisher: University of Chicago Press
Release Date: 2014-09-08
A “lucid, careful, tenacious, and always accessible” inquiry into practical morality for everyday life by the author of The Roots of Evil (Notre Dame Philosophical Reviews). For centuries, moral philosophers have sought a single, overriding ideal that should guide everyone, always, everywhere. And after centuries of debate we’re no closer to arriving at one. In How Should We Live?, philosopher John Kekes offers a refreshing alternative, eschewing absolute ideals and considering our lives as they really are, day by day, subject to countless vicissitudes and unforeseen obstacles. Kekes argues that ideal theories are abstractions from the realities of everyday life. The well-known arenas where absolute ideals conflict—such as abortion, euthanasia, plea bargaining, privacy, and other hotly debated topics—should not be the primary concerns of moral thinking. Instead, Kekes focuses on quotidian dilemmas such as how we should use our limited time, energy, or money; how we balance short- and long-term satisfactions; how we deal with conflicting loyalties; how we control our emotions; how we deal with people we dislike; and so on. Along the way, Kekes engages some of our most important theorists, including Donald Davidson, Thomas Nagel, Christine Korsgaard, Harry Frankfurt, Charles Taylor, Alasdair MacIntyre, and Bernard Williams, to demonstrate that no single ideal—whether autonomy, love, duty, happiness, or truthfulness—trumps any other. Instead, How Should We Live? offers a way of balancing them using a practical and pluralistic approach.
John Rawls
Author: Jon Mandle
language: en
Publisher: Oxford University Press
Release Date: 2020-06-01
John Rawls is widely considered one of the most important political philosophers of the 20th century, and his highly original and influential works play a central role in contemporary philosophical debates. This collection of original essays explores the outpouring of scholarship and debate inspired by Rawls's political philosophy. Given the vastness of this scholarship, this volume aims to provide inroads to its central themes and preoccupations. The volume is divided into ten parts, exploring ten distinct questions, for example: Can Rawls's conception of public reason offer determinate answers to major questions of justice? Is ideal theory useful or relevant to resolving issues of justice in the nonideal world? Are libertarians correct to criticize Rawls's work for failing to prioritize economic liberty? When institutions aim at equality, what is it that they should seek to equalize--primary goods, capabilities, or welfare? For each question, there is an introductory essay, providing an overview of the relevant arguments from Rawls's work and the historical contours of the debate that ensued. Each introductory essay is followed by two essays written by scholars who take opposing positions, which move the discussion forward in a fruitful way. This volume provides readers with clear and in-depth explication of Rawls's arguments, the most important critical dialogue generated in response to those arguments, and the dialogue's significance to contemporary politics.