Mathematics to the Rescue of Democracy

Mathematics to the Rescue of Democracy

Author: Paolo Serafini

Publisher: Springer Nature

Published: 2020-03-02

Total Pages: 138

ISBN-13: 3030383687

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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.


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.

Democracy and Mathematics Education

Democracy and Mathematics Education

Author: Kurt Stemhagen

Publisher: Routledge

Published: 2021-05-06

Total Pages: 239

ISBN-13: 1000378136

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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.


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.

Numbers Rule

Numbers Rule

Author: George Szpiro

Publisher: Princeton University Press

Published: 2020-11-03

Total Pages: 240

ISBN-13: 0691209081

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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.


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.

Making Democracy Count

Making Democracy Count

Author: Ismar Volić

Publisher: Princeton University Press

Published: 2024-04-02

Total Pages: 408

ISBN-13: 0691248826

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How we can repair our democracy by rebuilding the mechanisms that power it What’s the best way to determine what most voters want when multiple candidates are running? What’s the fairest way to allocate legislative seats to different constituencies? What’s the least distorted way to draw voting districts? Not the way we do things now. Democracy is mathematical to its very foundations. Yet most of the methods in use are a historical grab bag of the shortsighted, the cynical, the innumerate, and the outright discriminatory. Making Democracy Count sheds new light on our electoral systems, revealing how a deeper understanding of their mathematics is the key to creating civic infrastructure that works for everyone. In this timely guide, Ismar Volić empowers us to use mathematical thinking as an objective, nonpartisan framework that rises above the noise and rancor of today’s divided public square. Examining our representative democracy using powerful clarifying concepts, Volić shows why our current voting system stifles political diversity, why the size of the House of Representatives contributes to its paralysis, why gerrymandering is a sinister instrument that entrenches partisanship and disenfranchisement, why the Electoral College must be rethought, and what can work better and why. Volić also discusses the legal and constitutional practicalities involved and proposes a road map for repairing the mathematical structures that undergird representative government. Making Democracy Count gives us the concrete knowledge and the confidence to advocate for a more just, equitable, and inclusive democracy.


Book Synopsis Making Democracy Count by : Ismar Volić

Download or read book Making Democracy Count written by Ismar Volić and published by Princeton University Press. This book was released on 2024-04-02 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: How we can repair our democracy by rebuilding the mechanisms that power it What’s the best way to determine what most voters want when multiple candidates are running? What’s the fairest way to allocate legislative seats to different constituencies? What’s the least distorted way to draw voting districts? Not the way we do things now. Democracy is mathematical to its very foundations. Yet most of the methods in use are a historical grab bag of the shortsighted, the cynical, the innumerate, and the outright discriminatory. Making Democracy Count sheds new light on our electoral systems, revealing how a deeper understanding of their mathematics is the key to creating civic infrastructure that works for everyone. In this timely guide, Ismar Volić empowers us to use mathematical thinking as an objective, nonpartisan framework that rises above the noise and rancor of today’s divided public square. Examining our representative democracy using powerful clarifying concepts, Volić shows why our current voting system stifles political diversity, why the size of the House of Representatives contributes to its paralysis, why gerrymandering is a sinister instrument that entrenches partisanship and disenfranchisement, why the Electoral College must be rethought, and what can work better and why. Volić also discusses the legal and constitutional practicalities involved and proposes a road map for repairing the mathematical structures that undergird representative government. Making Democracy Count gives us the concrete knowledge and the confidence to advocate for a more just, equitable, and inclusive democracy.

Mathematics and Democracy

Mathematics and Democracy

Author: Lynn Arthur Steen

Publisher: Nced

Published: 2001

Total Pages: 0

ISBN-13: 9780970954701

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Mathematics and democracy: the case for quantitative literacy.


Book Synopsis Mathematics and Democracy by : Lynn Arthur Steen

Download or read book Mathematics and Democracy written by Lynn Arthur Steen and published by Nced. This book was released on 2001 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics and democracy: the case for quantitative literacy.

Math in a Democracy (Teacher Guide)

Math in a Democracy (Teacher Guide)

Author: Benchmark Education Company

Publisher:

Published: 2004-01-01

Total Pages:

ISBN-13: 9781410827302

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Book Synopsis Math in a Democracy (Teacher Guide) by : Benchmark Education Company

Download or read book Math in a Democracy (Teacher Guide) written by Benchmark Education Company and published by . This book was released on 2004-01-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Rescue Democracy from Money-power

Rescue Democracy from Money-power

Author: Chakravarti Rajagopalachari

Publisher: Bombay : Bharatiya Vidya Bhavan

Published: 1977

Total Pages: 102

ISBN-13:

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Book Synopsis Rescue Democracy from Money-power by : Chakravarti Rajagopalachari

Download or read book Rescue Democracy from Money-power written by Chakravarti Rajagopalachari and published by Bombay : Bharatiya Vidya Bhavan. This book was released on 1977 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Democracy and Education

Democracy and Education

Author: John Dewey

Publisher: Createspace Independent Publishing Platform

Published: 1916

Total Pages: 456

ISBN-13:

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. Renewal of Life by Transmission. The most notable distinction between living and inanimate things is that the former maintain themselves by renewal. A stone when struck resists. If its resistance is greater than the force of the blow struck, it remains outwardly unchanged. Otherwise, it is shattered into smaller bits. Never does the stone attempt to react in such a way that it may maintain itself against the blow, much less so as to render the blow a contributing factor to its own continued action. While the living thing may easily be crushed by superior force, it none the less tries to turn the energies which act upon it into means of its own further existence. If it cannot do so, it does not just split into smaller pieces (at least in the higher forms of life), but loses its identity as a living thing. As long as it endures, it struggles to use surrounding energies in its own behalf. It uses light, air, moisture, and the material of soil. To say that it uses them is to say that it turns them into means of its own conservation. As long as it is growing, the energy it expends in thus turning the environment to account is more than compensated for by the return it gets: it grows. Understanding the word "control" in this sense, it may be said that a living being is one that subjugates and controls for its own continued activity the energies that would otherwise use it up. Life is a self-renewing process through action upon the environment.


Book Synopsis Democracy and Education by : John Dewey

Download or read book Democracy and Education written by John Dewey and published by Createspace Independent Publishing Platform. This book was released on 1916 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: . Renewal of Life by Transmission. The most notable distinction between living and inanimate things is that the former maintain themselves by renewal. A stone when struck resists. If its resistance is greater than the force of the blow struck, it remains outwardly unchanged. Otherwise, it is shattered into smaller bits. Never does the stone attempt to react in such a way that it may maintain itself against the blow, much less so as to render the blow a contributing factor to its own continued action. While the living thing may easily be crushed by superior force, it none the less tries to turn the energies which act upon it into means of its own further existence. If it cannot do so, it does not just split into smaller pieces (at least in the higher forms of life), but loses its identity as a living thing. As long as it endures, it struggles to use surrounding energies in its own behalf. It uses light, air, moisture, and the material of soil. To say that it uses them is to say that it turns them into means of its own conservation. As long as it is growing, the energy it expends in thus turning the environment to account is more than compensated for by the return it gets: it grows. Understanding the word "control" in this sense, it may be said that a living being is one that subjugates and controls for its own continued activity the energies that would otherwise use it up. Life is a self-renewing process through action upon the environment.

Goethe’s Message for the 21st century: "Islam is the rescue for Humanity"

Goethe’s Message for the 21st century:

Author: Sufi Path of Love

Publisher: Lulu.com

Published: 2014-03-31

Total Pages: 409

ISBN-13: 1291809538

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Goethe's Message to The 21st century: "Islam is the Rescue for Humanity" "Stupid that everyone in his case Is praising his particular opinion! If Islam means submission to God, We all live and die in Islam." Johann Wolfgang Goethe


Book Synopsis Goethe’s Message for the 21st century: "Islam is the rescue for Humanity" by : Sufi Path of Love

Download or read book Goethe’s Message for the 21st century: "Islam is the rescue for Humanity" written by Sufi Path of Love and published by Lulu.com. This book was released on 2014-03-31 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Goethe's Message to The 21st century: "Islam is the Rescue for Humanity" "Stupid that everyone in his case Is praising his particular opinion! If Islam means submission to God, We all live and die in Islam." Johann Wolfgang Goethe

The Reckoning: Debt, Democracy, and the Future of American Power

The Reckoning: Debt, Democracy, and the Future of American Power

Author: Michael Moran

Publisher: St. Martin's Press

Published: 2012-04-10

Total Pages: 258

ISBN-13: 1137000422

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A leading forecaster of economic and political trends takes a sharp look at the decline of American influence in the world, and how it can prepare for the new reality. The age of American global dominance is ending. Today, a host of forces are converging to challenge its cherished notion of exceptionalism, and risky economic and foreign policies have steadily eroded the power structure in place since the Cold War. Staggering under a huge burden of debt, the country must make some tough choices—or cede sovereignty to its creditors. In The Reckoning, Michael Moran, geostrategy analyst explores the challenges ahead -- and what, if anything, can be prevent chaos as America loses its perch at the top of the mountain. Covering developments like unprecedented information technologies, the growing prosperity of China, India, Brazil, and Turkey, and the diminished importance of Wall Street in the face of global markets, Moran warns that the coming shift will have serious consequences not just for the United States, but for the wider world. Countries that have traditionally depended on the United States for protection and global stability will have to fend for themselves. Moran describes how, with a bit of wise leadership, America can transition to this new world order gracefully—by managing entitlements, reigniting sustainable growth, reforming immigration policy, launching new regional dialogues that bring friend and rival together in cooperative multinational structures, and breaking the poisonous deadlock in Washington. If not, he warns, history won't wait.


Book Synopsis The Reckoning: Debt, Democracy, and the Future of American Power by : Michael Moran

Download or read book The Reckoning: Debt, Democracy, and the Future of American Power written by Michael Moran and published by St. Martin's Press. This book was released on 2012-04-10 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: A leading forecaster of economic and political trends takes a sharp look at the decline of American influence in the world, and how it can prepare for the new reality. The age of American global dominance is ending. Today, a host of forces are converging to challenge its cherished notion of exceptionalism, and risky economic and foreign policies have steadily eroded the power structure in place since the Cold War. Staggering under a huge burden of debt, the country must make some tough choices—or cede sovereignty to its creditors. In The Reckoning, Michael Moran, geostrategy analyst explores the challenges ahead -- and what, if anything, can be prevent chaos as America loses its perch at the top of the mountain. Covering developments like unprecedented information technologies, the growing prosperity of China, India, Brazil, and Turkey, and the diminished importance of Wall Street in the face of global markets, Moran warns that the coming shift will have serious consequences not just for the United States, but for the wider world. Countries that have traditionally depended on the United States for protection and global stability will have to fend for themselves. Moran describes how, with a bit of wise leadership, America can transition to this new world order gracefully—by managing entitlements, reigniting sustainable growth, reforming immigration policy, launching new regional dialogues that bring friend and rival together in cooperative multinational structures, and breaking the poisonous deadlock in Washington. If not, he warns, history won't wait.