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2 results

  • 20 - Multidimensional Inequality and Human Development

  • from Part II - Methods, Measurement and Empirical Evidence
  • Edited by Enrica Chiappero-Martinetti, Siddiqur Osmani, Mozaffar Qizilbash, University of York
  • Book:
    The Cambridge Handbook of the Capability Approach
    Published online:
    11 November 2020
    Print publication:
    19 November 2020, pp 392-416

  • Summary

    The measurement of inequality from a human development perspective is fundamental. We start this chapter by briefly introducing the human development approach and its main conceptual basis: the capability approach. We note that inequality should preferably be assessed in the space of functionings, requiring the assessment methods to use multidimensional techniques. We then present the primary challenges inherent to multidimensional inequality measurement that are related to two types of distributional changes: one is concerned with the dispersions within distributions that are analogous to the unidimensional framework and the other, unlike the unidimensional framework, is concerned with the association between distributions. We next present a succinct review of the most prominent measures proposed in the literature within a unifying framework and review the empirical applications surrounding these measures. We note that while multidimensional inequality measures have a great potential to contribute to the monitoring of human development, there are some challenges to overcome in order to fulfil this potential.

  • Forcing indestructibility of set-theoretic axioms

  • Bernhard KÖnig
  • Journal:
    The Journal of Symbolic Logic / Volume 72 / Issue 1 / March 2007
    Published online by Cambridge University Press:
    12 March 2014, pp. 349-360
    Print publication:
    March 2007

  • Various theorems for the preservation of set-theoretic axioms under forcing are proved, regarding both forcing axioms and axioms true in the Lévy collapse. These show in particular that certain applications of forcing axioms require to add generic countable sequences high up in the set-theoretic hierarchy even before collapsing everything down to ℵ1. Later we give applications, among them the consistency of MM with ℵω not being Jónsson which answers a question raised in the set theory meeting at Oberwolfach in 2005.