Re: Slow Read -- Kaina Stoicheia -- The Title

Jon Awbrey <[email protected]>
Newsgroups gmane.comp.inquiry
Message-ID <[email protected]>
[repost of an earlier note]

Peircers,

I have a distant memory of being told or reading somewhere that
the root meaning of “stoicheia” is “steps” and that it was akin
to “stoa” for “porch”.  But I couldn't find any confirmation of
that pleasing tidbit at Perseus, so I guess I'll have to regard
it as a folk etymology until I can find out whether it's true.

Here are a couple of glosses on “stoicheion, stoicheia” --

• http://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A1999.04.0057%3Aentry%3Dstoixei%3Don

Στοιχεία , ἡ, epith. of Athena at Epidaurus, IG42(1).487.

• http://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A1999.04.0057%3Aentry%3D*stoixei%2Fa

As far as their original meanings go, we need to distinguish atoms, elements, and categories.
Although the Greeks had their four elements, and theories of atoms go back as far as Epicurus,
the modern theory of chemical elements that used to be regarded as unsplittable entities bears
only the slightest resemblance to a combination of those two ideas.  And categories, ancient to
Peircean, are a different beast altogether.

Unless one takes the juridical meaning of “categorize”, to accuse in court,
to dress down a person in public assembly, since even today judges will
instruct juries in the “elements of the crime” at issue.

• http://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A1999.04.0057%3Aentry%3Dkathgore%2Fw

But Moriarty aside, Watson, that would take us pretty far afield from mathematics.

All in all, I think the sense of “elements” in Euclid's geometry was more likely
“elements of doctrine or instruction”, the basic building blocks of knowledge
that are the business of elementary school.

Regards,

Jon

-- 

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