Abstract: | In just proportional exchange, under Aristotle's theory of reciprocal justice, superior sharers in a community materially assist the weaker, and receive honour as a reward. Aristotle's economic thought is represented with a system of 18 formulae. Explained are: (1) What Aristotle means when he says that it is impossible for two sharers or their erga to be commensurable; (2) The extent to which the variables in Aristotle's proportions can be quantified. (3) What diagonal pairing ( ![/></span>κατ <span class=](/na101/home/literatum/publisher/tandf/journals/content/rbjh20/2012/rbjh20.v020.i04/09608788.2012.679778/production/images/medium/rbjh_a_679778_o_ilf0001.gif) ![/></span>δι<span class=](/na101/home/literatum/publisher/tandf/journals/content/rbjh20/2012/rbjh20.v020.i04/09608788.2012.679778/production/images/medium/rbjh_a_679778_o_ilf0002.gif) ![/></span>μ?τρoν σ<span class=](/na101/home/literatum/publisher/tandf/journals/content/rbjh20/2012/rbjh20.v020.i04/09608788.2012.679778/production/images/medium/rbjh_a_679778_o_ilf0003.gif) ![/></span>ζ?υξι?) is; (4) How need makes sharers and their <i>erga</i> ‘sufficiently' commensurable; and (5) Aristotle's theory of what is just in exchange.</td>
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