[] Re: Categories in Mathematics and Philosophy

Thanks again, Graham, it looks like I'll have to set aside some time
for a fresh "anamnesis" on these questions.  I used to have a lot of
links into the Perseus site http://www.perseus.tufts.edu/ but they're
all broken now -- I guess Perseus has been redecorating since the last
time I visited his digs ...

Jon

GS = Graham R. SHUTT

GS: In *Categories*, Aristotle uses the verb katēgoreō when he speaks
     of predicating something of something.  Sometimes he will also
     use the verb legō [to say], as in the passage I quoted above:
     "Whenever one thing is *predicated of* another as of a subject,
     all things *said of* what is predicated will be *said of* the
     subject also" (Categories 1b10ff, emphasis added).

GS: The verb huparkhō you mention can mean begin, take the initiative;
     exist, be; and is sometimes used like hupokeimai, to be assumed as
     a hypothesis.  According to LSJ, in the logic of Aristotle huparkhein
     "denotes *the subsistence* of qualities *in a subject*."  LSJ cites
     *Metaphysics* 1025a14 as an example of this usage.

GS: Minio-Paluello's Oxford Classical Text edition of *Categories* has
     a useful index.  I also use Ackrill's translation of *Categories*
     in the Clarendon Aristotle Series.  This, too, has a useful index.

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