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Topic: [HM] arithmoi poetoi
Replies: 12   Last Post: Sep 29, 2005 6:28 AM

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Jose Ferreiros

Posts: 57
Registered: 12/3/04
[HM] arithmoi poetoi
Posted: Sep 16, 2005 7:31 AM
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Dear friends:

can someone help with a translation from Greek. You know Cantor had a
tendency to "explain" his ideas with references to words in Latin or Greek.
E.g., in 1883 he explains his concept of set or "manifold" by saying that it
is similar to Plato's "eidos or idea" (Abhandlungen, 204). In a later
publication he explains that actual infinity is conceived or grasped by the
human mind under the form of his transfinite numbers, "or even under the
more general form of the transfinite order types (arithmoi poetoi or
eidetikoi)" (Abhandlungen, 372).

Can someone help with a reasonable translation of those words in Greek? I've
never studied Greek myself, I must confess.

All the best,

Jose Ferreiros
Departamento de Filosofia y Logica, Universidad de Sevilla
Camilo Jose Cela, s/n. E--41018 Sevilla, España
Tel: +34.954.557825
Fax: +34.954.551668

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