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Math Forum » Discussions » Inactive » Historia-Matematica

Topic: [HM] uninterrupted connectedness
Replies: 12   Last Post: Jul 23, 2004 9:43 PM

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Prof. Dr. Ivo Schneider

Posts: 81
Registered: 12/3/04
Re: [HM] uninterrupted connectedness
Posted: Jul 21, 2004 6:34 AM
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Roger Cooke wrote:

>As I understood Robert Taylor's original message,
>Dedekind seemed to be using some synonyms, as if quoting some earlier
>writer who offered this paraphrase as an explanation of what continuity
>means. The real question (which my earlier message did not address)
>is, "Who was Dedekind alluding to?" I don't know of any earlier debate
>on the subject, but Lipschitz protested that what Dedekind had done
was unnecessary, since everything was already clear.

There is a discussion dating back as far as to Aristotle, who used
the term "syneches" for the uninterrupted connectedness. Thinking of
Georg Cantor who alluded repeatedly to Aristotle it does not seem
too far fetched to think of Aristotle in this connection .

Ivo Schneider






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