A Concise History of Mathematics Volume 1 by Dirk J. Struik

By Dirk J. Struik

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It is highly likely that the latter relies on the former. See Hansen (1999) pp. 27–54 for a succinct summary of these historical developments. See Ostwald (1988) p. 304 on the anti-Peisistraid measures such as bans and proscriptive lists that followed the overthrow of the dynasty. This adds weight to the idea that political division in Attica was an on-going and serious problem. Aristotle (1986) p. 164 [Ath. Pol XX. 1] states that he lost power in the hetaireiai or aristocratic political clubs.

See Dow (1939) and Kroll (1972). Before Dow’s attribution the description of the process in the Ath Pol LXIII– LXV (Aristotle, 1986, pp. 202–4) made little sense. Bronze allotment plaques also indicate that this process was also used for magistrates and other offices in the fourth century. M. Moore’s commentary. Aristotle (1986) pp. 303–8. Gomme (1933); Hansen (1999) pp. 90–4. 40 The Political Potential of Sortition Helliastic Oath, which entitled them to sit as dikastai. Rotation in office meant that large numbers of citizens would have taken part in the administrative processes of government on a regular basis.

On the other hand, in [59] [60] [61] Ostwald (1988) p. 313 describes the trittyes as ‘the most artificial and crucial element in the system’. Eckhoff (1989) p. 13 talks of self-initiated lotteries as ‘making the distributor redundant’. Ostwald (1988) p. 317 suggests that it was politically safer to use lot, than to be seen to ‘derive personal or political advantage from the arrangement’. 48 The Political Potential of Sortition the astute judgement made by Kleisthenes to head off any factional dissent, he is, in fact, anticipating the dangers to the new polis should the trittyes form voluntary alliances.

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