Mathematical Theory Of Democracy

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Mathematical Theory of Democracy

Author : Andranik Tangian
Publisher : Springer Science & Business Media
ISBN 13 : 3642387241
Total Pages : 629 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Mathematical Theory of Democracy by : Andranik Tangian

Download or read book Mathematical Theory of Democracy written by Andranik Tangian and published by Springer Science & Business Media. This book was released on 2013-07-31 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical theory of democracy deals with selection of representatives who make decisions on behalf of the whole society. In this book, the notion of representativeness is operationalized with the index of popularity (the average percentage of the population whose opinion is represented on a number of issues) and the index of universality (the frequency of cases when the opinion of a majority is represented). These indices are applied to evaluate and study the properties of single representatives (e.g. president) and representative bodies (e.g. parliament, magistrate, cabinet, jury, coalition). To bridge representative and direct democracy, an election method is proposed that is based not on voting but on indexing candidates with respect to the electorate’s political profile. In addition, societal and non-societal applications are considered.

Numbers Rule

Author : George Szpiro
Publisher : Princeton University Press
ISBN 13 : 0691209081
Total Pages : 240 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Numbers Rule by : George Szpiro

Download or read book Numbers Rule written by George Szpiro and published by Princeton University Press. This book was released on 2020-11-03 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author takes the general reader on a tour of the mathematical puzzles and paradoxes inherent in voting systems, such as the Alabama Paradox, in which an increase in the number of seats in the Congress could actually lead to a reduced number of representatives for a state, and the Condorcet Paradox, which demonstrates that the winner of elections featuring more than two candidates does not necessarily reflect majority preferences. Szpiro takes a roughly chronological approach to the topic, traveling from ancient Greece to the present and, in addition to offering explanations of the various mathematical conundrums of elections and voting, also offers biographical details on the mathematicians and other thinkers who thought about them, including Plato, Pliny the Younger, Pierre Simon Laplace, Thomas Jefferson, John von Neumann, and Kenneth Arrow.

Mathematics and Democracy

Author : Steven J. Brams
Publisher : Princeton University Press
ISBN 13 : 1400835593
Total Pages : 390 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Mathematics and Democracy by : Steven J. Brams

Download or read book Mathematics and Democracy written by Steven J. Brams and published by Princeton University Press. This book was released on 2009-12-02 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Voters today often desert a preferred candidate for a more viable second choice to avoid wasting their vote. Likewise, parties to a dispute often find themselves unable to agree on a fair division of contested goods. In Mathematics and Democracy, Steven Brams, a leading authority in the use of mathematics to design decision-making processes, shows how social-choice and game theory could make political and social institutions more democratic. Using mathematical analysis, he develops rigorous new procedures that enable voters to better express themselves and that allow disputants to divide goods more fairly. One of the procedures that Brams proposes is "approval voting," which allows voters to vote for as many candidates as they like or consider acceptable. There is no ranking, and the candidate with the most votes wins. The voter no longer has to consider whether a vote for a preferred but less popular candidate might be wasted. In the same vein, Brams puts forward new, more equitable procedures for resolving disputes over divisible and indivisible goods.

Democracy and Mathematics Education

Author : Kurt Stemhagen
Publisher : Routledge
ISBN 13 : 1000378136
Total Pages : 239 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Democracy and Mathematics Education by : Kurt Stemhagen

Download or read book Democracy and Mathematics Education written by Kurt Stemhagen and published by Routledge. This book was released on 2021-05-06 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Democracy and Mathematics Education, Kurt Stemhagen and Catherine Henney develop a way of thinking about the nature and purposes of math that is inclusive, participatory, and thoroughly human. They use these ideas to create a school mathematics experience that can enhance students’ math abilities and democratic potential. They locate mathematics’ origins in human activity and highlight the rich but often overlooked links between mathematical activity and democratic, social practices. Democratic mathematics education foregrounds student inquiry and brings to light the moral dimensions of a discipline that has both remarkable utility and inevitable limitations. For math educators, the book’s humanities approach helps to see the subject anew. For philosophers, it provides an important real world context for wrestling with perennial and timely questions, engaging democratic and evolutionary theory to transform school math. This alternative approach to mathematics and mathematics education provides a guide for how to use math to make democracy a larger part of school and wider social life. 2021 Winner of the AESA Critics’ Choice Book Award.

Mathematics to the Rescue of Democracy

Author : Paolo Serafini
Publisher : Springer Nature
ISBN 13 : 3030383687
Total Pages : 138 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Mathematics to the Rescue of Democracy by : Paolo Serafini

Download or read book Mathematics to the Rescue of Democracy written by Paolo Serafini and published by Springer Nature. This book was released on 2020-03-02 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains, in a straightforward way, the foundations upon which electoral techniques are based in order to shed new light on what we actually do when we vote. The intention is to highlight the fact that no matter how an electoral system has been designed, and regardless of the intentions of those who devised the system, there will be goals that are impossible to achieve but also opportunities for improving the situation in an informed way. While detailed descriptions of electoral systems are not provided, many references are made to current or past situations, both as examples and to underline particular problems and shortcomings. In addition, a new voting method that avoids the many paradoxes of voting theory is described in detail. While some knowledge of mathematics is required in order to gain the most from the book, every effort has been made to ensure that the subject matter is easily accessible for non-mathematicians, too. In short, this is a book for anyone who wants to understand the meaning of voting.

An Epistemic Theory of Democracy

Author : Robert E. Goodin
Publisher : Oxford University Press
ISBN 13 : 0198823452
Total Pages : 469 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis An Epistemic Theory of Democracy by : Robert E. Goodin

Download or read book An Epistemic Theory of Democracy written by Robert E. Goodin and published by Oxford University Press. This book was released on 2018 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Democracy has many attractive features. Among them is its tendency to track the truth, at least under certain idealized assumptions. That basic result has been known since 1785, when Condorcet published his famous jury theorem. But that theorem has typically been dismissed as little more than a mathematical curiosity, with assumptions too restrictive for it to apply to the real world. In An Epistemic Theory of Democracy, Goodin and Spiekermann propose different ways of interpreting voter independence and competence to make jury theorems more generally applicable. They go on to assess a wide range of familiar political practices and alternative institutional arrangements, to determine what constellation of them might most fully exploit the truth-tracking potential of majoritarian democracy. The book closes with a discussion of how epistemic democracy might be undermined, using as case studies the Trump and Brexit campaigns.

Mathematical Theory of Democracy

Author : Andranik Tangian
Publisher : Springer
ISBN 13 : 9783642387258
Total Pages : 615 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Mathematical Theory of Democracy by : Andranik Tangian

Download or read book Mathematical Theory of Democracy written by Andranik Tangian and published by Springer. This book was released on 2013-09-14 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical theory of democracy deals with selection of representatives who make decisions on behalf of the whole society. In this book, the notion of representativeness is operationalized with the index of popularity (the average percentage of the population whose opinion is represented on a number of issues) and the index of universality (the frequency of cases when the opinion of a majority is represented). These indices are applied to evaluate and study the properties of single representatives (e.g. president) and representative bodies (e.g. parliament, magistrate, cabinet, jury, coalition). To bridge representative and direct democracy, an election method is proposed that is based not on voting but on indexing candidates with respect to the electorate’s political profile. In addition, societal and non-societal applications are considered.

The Mathematics of Voting and Elections: A Hands-On Approach

Author : Jonathan K. Hodge
Publisher : American Mathematical Soc.
ISBN 13 : 1470442876
Total Pages : 255 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Mathematics of Voting and Elections: A Hands-On Approach by : Jonathan K. Hodge

Download or read book The Mathematics of Voting and Elections: A Hands-On Approach written by Jonathan K. Hodge and published by American Mathematical Soc.. This book was released on 2018-10-01 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics of Voting and Elections: A Hands-On Approach, Second Edition, is an inquiry-based approach to the mathematics of politics and social choice. The aim of the book is to give readers who might not normally choose to engage with mathematics recreationally the chance to discover some interesting mathematical ideas from within a familiar context, and to see the applicability of mathematics to real-world situations. Through this process, readers should improve their critical thinking and problem solving skills, as well as broaden their views of what mathematics really is and how it can be used in unexpected ways. The book was written specifically for non-mathematical audiences and requires virtually no mathematical prerequisites beyond basic arithmetic. At the same time, the questions included are designed to challenge both mathematical and non-mathematical audiences alike. More than giving the right answers, this book asks the right questions. The book is fun to read, with examples that are not just thought-provoking, but also entertaining. It is written in a style that is casual without being condescending. But the discovery-based approach of the book also forces readers to play an active role in their learning, which should lead to a sense of ownership of the main ideas in the book. And while the book provides answers to some of the important questions in the field of mathematical voting theory, it also leads readers to discover new questions and ways to approach them. In addition to making small improvements in all the chapters, this second edition contains several new chapters. Of particular interest might be Chapter 12 which covers a host of topics related to gerrymandering.

Weapons of Math Destruction

Author : Cathy O'Neil
Publisher : Crown Publishing Group (NY)
ISBN 13 : 0553418815
Total Pages : 274 pages
Book Rating : 4.5/5 (534 download)

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Book Synopsis Weapons of Math Destruction by : Cathy O'Neil

Download or read book Weapons of Math Destruction written by Cathy O'Neil and published by Crown Publishing Group (NY). This book was released on 2016 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A former Wall Street quantitative analyst sounds an alarm on mathematical modeling, a pervasive new force in society that threatens to undermine democracy and widen inequality,"--NoveList.

A Democratic Theory of Judgment

Author : Linda M.G. Zerilli
Publisher : University of Chicago Press
ISBN 13 : 022639803X
Total Pages : 401 pages
Book Rating : 4.2/5 (263 download)

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Book Synopsis A Democratic Theory of Judgment by : Linda M.G. Zerilli

Download or read book A Democratic Theory of Judgment written by Linda M.G. Zerilli and published by University of Chicago Press. This book was released on 2016-12-12 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this sweeping look at political and philosophical history, Linda M. G. Zerilli unpacks the tightly woven core of Hannah Arendt’s unfinished work on a tenacious modern problem: how to judge critically in the wake of the collapse of inherited criteria of judgment. Engaging a remarkable breadth of thinkers, including Ludwig Wittgenstein, Leo Strauss, Immanuel Kant, Frederick Douglass, John Rawls, Jürgen Habermas, Martha Nussbaum, and many others, Zerilli clears a hopeful path between an untenable universalism and a cultural relativism that forever defers the possibility of judging at all. Zerilli deftly outlines the limitations of existing debates, both those that concern themselves with the impossibility of judging across cultures and those that try to find transcendental, rational values to anchor judgment. Looking at Kant through the lens of Arendt, Zerilli develops the notion of a public conception of truth, and from there she explores relativism, historicism, and universalism as they shape feminist approaches to judgment. Following Arendt even further, Zerilli arrives at a hopeful new pathway—seeing the collapse of philosophical criteria for judgment not as a problem but a way to practice judgment anew as a world-building activity of democratic citizens. The result is an astonishing theoretical argument that travels through—and goes beyond—some of the most important political thought of the modern period.

Mathematics and Democracy

Author : Bruno Simeone
Publisher : Springer Science & Business Media
ISBN 13 : 3540356053
Total Pages : 260 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Mathematics and Democracy by : Bruno Simeone

Download or read book Mathematics and Democracy written by Bruno Simeone and published by Springer Science & Business Media. This book was released on 2007-01-09 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, different quantitative approaches to the study of electoral systems have been developed: game-theoretic, decision-theoretic, statistical, probabilistic, combinatorial, geometric, and optimization ones. All the authors are prominent scholars from these disciplines. Quantitative approaches offer a powerful tool to detect inconsistencies or poor performance in actual systems. Applications to concrete settings such as EU, American Congress, regional, and committee voting are discussed.

Mathematics and Politics

Author : Alan D. Taylor
Publisher : Springer Science & Business Media
ISBN 13 : 0387776435
Total Pages : 378 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Mathematics and Politics by : Alan D. Taylor

Download or read book Mathematics and Politics written by Alan D. Taylor and published by Springer Science & Business Media. This book was released on 2009-12-29 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a text for an undergraduate mathematics course for nonmajors, Mathematics and Politics requires no prerequisites in either area while the underlying philosophy involves minimizing algebraic computations and focusing instead on some conceptual aspects of mathematics in the context of important real-world questions in political science. Five major topics are covered including a model of escalation, game theoretic models of international conflict, yes-no voting systems, political power, and social choice. Each topic is discussed in an introductory chapter and revisited in more depth in a later chapter. This new edition has added co-author, Allison Pacelli, and two new chapters on "Fairness" and "More Fairness." The examples and the exercises have been updated and enhanced throughout. Reviews from first edition: This book is well written and has much math of interest. While it is pitched at a non-math audience there is material here that will be new and interesting to the readers... -Sigact News For mathematicians, Taylor's book shows how the social sciences make use of mathematical thinking, in the form of axiomatic systems, and offers a chance to teach this kind of thinking to our students. - The College Mathematics Journal The writing is crisp and the sense of excitement about learning mathematics is seductive. The political conflict examples are well thought out and clear. -Michael C. Munger

Shape

Author : Jordan Ellenberg
Publisher : Penguin
ISBN 13 : 1984879065
Total Pages : 481 pages
Book Rating : 4.9/5 (848 download)

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Book Synopsis Shape by : Jordan Ellenberg

Download or read book Shape written by Jordan Ellenberg and published by Penguin. This book was released on 2021-05-25 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.

Critical Mathematics Education

Author : Paul Ernest
Publisher : IAP
ISBN 13 : 1681232618
Total Pages : 361 pages
Book Rating : 4.6/5 (812 download)

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Book Synopsis Critical Mathematics Education by : Paul Ernest

Download or read book Critical Mathematics Education written by Paul Ernest and published by IAP. This book was released on 2016-01-01 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is traditionally seen as the most neutral of disciplines, the furthest removed from the arguments and controversy of politics and social life. However, critical mathematics challenges these assumptions and actively attacks the idea that mathematics is pure, objective, and value?neutral. It argues that history, society, and politics have shaped mathematics—not only through its applications and uses but also through molding its concepts, methods, and even mathematical truth and proof, the very means of establishing truth. Critical mathematics education also attacks the neutrality of the teaching and learning of mathematics, showing how these are value?laden activities indissolubly linked to social and political life. Instead, it argues that the values of openness, dialogicality, criticality towards received opinion, empowerment of the learner, and social/political engagement and citizenship are necessary dimensions of the teaching and learning of mathematics, if it is to contribute towards democracy and social justice. This book draws together critical theoretic contributions on mathematics and mathematics education from leading researchers in the field. Recurring themes include: The natures of mathematics and critical mathematics education, issues of epistemology and ethics; Ideology, the hegemony of mathematics, ethnomathematics, and real?life education; Capitalism, globalization, politics, social class, habitus, citizenship and equity. The book demonstrates the links between these themes and the discipline of mathematics, and its critical teaching and learning. The outcome is a groundbreaking collection unified by a shared concern with critical perspectives of mathematics and education, and of the ways they impact on practice.

The Oxford Handbook of Political Philosophy

Author : David Estlund
Publisher : Oxford University Press, USA
ISBN 13 : 0195376692
Total Pages : 457 pages
Book Rating : 4.1/5 (953 download)

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Book Synopsis The Oxford Handbook of Political Philosophy by : David Estlund

Download or read book The Oxford Handbook of Political Philosophy written by David Estlund and published by Oxford University Press, USA. This book was released on 2012-07-19 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes 22 new pieces by leading political philosophers, on traditional issues (such as authority and equality) and emerging issues (such as race, and money in politics). The pieces are clear and accessible will interest both students and scholars working in philosophy, political science, law, economics, and more.

The Oxford Handbook of Environmental Political Theory

Author : Teena Gabrielson
Publisher : Oxford University Press
ISBN 13 : 0191508411
Total Pages : 689 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis The Oxford Handbook of Environmental Political Theory by : Teena Gabrielson

Download or read book The Oxford Handbook of Environmental Political Theory written by Teena Gabrielson and published by Oxford University Press. This book was released on 2016-01-07 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: Set at the intersection of political theory and environmental politics, yet with broad engagement across the environmental social sciences and humanities, The Oxford Handbook of Environmental Political Theory, defines, illustrates, and challenges the field of environmental political theory (EPT). Featuring contributions from distinguished political scientists working in this field, this volume addresses canonical theorists and contemporary environmental problems with a diversity of theoretical approaches. The initial volume focuses on EPT as a field of inquiry, engaging both traditions of political thought and the academy. In the second section, the handbook explores conceptualizations of nature and the environment, as well as the nature of political subjects, communities, and boundaries within our environments. A third section addresses the values that motivate environmental theorists—including justice, responsibility, rights, limits, and flourishing—and the potential conflicts that can emerge within, between, and against these ideals. The final section examines the primary structures that constrain or enable the achievement of environmental ends, as well as theorizations of environmental movements, citizenship, and the potential for on-going environmental action and change.

Against Democracy

Author : Jason Brennan
Publisher : Princeton University Press
ISBN 13 : 1400888395
Total Pages : 309 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Against Democracy by : Jason Brennan

Download or read book Against Democracy written by Jason Brennan and published by Princeton University Press. This book was released on 2017-09-26 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: A bracingly provocative challenge to one of our most cherished ideas and institutions Most people believe democracy is a uniquely just form of government. They believe people have the right to an equal share of political power. And they believe that political participation is good for us—it empowers us, helps us get what we want, and tends to make us smarter, more virtuous, and more caring for one another. These are some of our most cherished ideas about democracy. But Jason Brennan says they are all wrong. In this trenchant book, Brennan argues that democracy should be judged by its results—and the results are not good enough. Just as defendants have a right to a fair trial, citizens have a right to competent government. But democracy is the rule of the ignorant and the irrational, and it all too often falls short. Furthermore, no one has a fundamental right to any share of political power, and exercising political power does most of us little good. On the contrary, a wide range of social science research shows that political participation and democratic deliberation actually tend to make people worse—more irrational, biased, and mean. Given this grim picture, Brennan argues that a new system of government—epistocracy, the rule of the knowledgeable—may be better than democracy, and that it's time to experiment and find out. A challenging critique of democracy and the first sustained defense of the rule of the knowledgeable, Against Democracy is essential reading for scholars and students of politics across the disciplines. Featuring a new preface that situates the book within the current political climate and discusses other alternatives beyond epistocracy, Against Democracy is a challenging critique of democracy and the first sustained defense of the rule of the knowledgeable.