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Numbers rule the vexing mathematics of democracy, from Plato to the present

George Szpiro 1950-

Princeton, N.J. Princeton University Press c2010

Localização: FD - Fac. Direito    (342.843:51 S994n DES )(Acessar)

  • Título:
    Numbers rule the vexing mathematics of democracy, from Plato to the present
  • Autor: George Szpiro 1950-
  • Assuntos: Mathematics -- Anecdotes; Demokratie; Mathematische Methode; Wahlsystem; DEMOCRACIA; MATEMÁTICA (MÉTODOS); SISTEMA ELEITORAL; ELEIÇÕES (PROCESSO POLÍTICO); Geschichte
  • Notas: Includes bibliographical references (p. 215-218) and index
  • Descrição: The anti-democrat -- The letter writer -- The mystic -- The cardinal -- The officer -- The marquis -- The mathematician -- The Oxford don -- The founding fathers -- The ivy leaguers -- The pessimists -- The quotarians -- The postmoderns.
    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, travelling 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
  • Editor: Princeton, N.J. Princeton University Press
  • Data de criação/publicação: c2010
  • Formato: xi, 226 p 24 cm.
  • Idioma: Inglês
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  • Realização: ABCD-USP USP   Logos de Redes Sociais: Freepik

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