Re: Mathematical strings


David C. Ullrich wrote:
On 25 Sep 2006 14:51:08 -0700, "John Jones" <jonescardiff@xxxxxxx>
wrote:

A mathematical string is a pictogram, a synthesis of geometry,
mathematics and human intentions.

Actually no, that's not what a string is in mathematical logic.
The _representation_ of a string on the printed page might have
these properties, but the string itself is not the same thing
as its representation on the printed page. A _character_ is
simply an element of whatever set arbitrarily chosen to be
the set of characters in some language, and a string is
simply a finite sequence of characters.

Why _don't_ you read a book on logic before lecturing us
about it? Probably you're having more fun doing things
your way - I've never understood people who enjoy making
fools of themselves in public, but I've seen enough
examples that I'm not surprised by their existence any more.

The human intention is to create
start and end, so that elements in a string can be counted. To create
'start' and 'finish', start and finish are conflated with the
geometrical 'beginning' and 'end' indicated on the string pictogram. It
follows that a string is a function in geometrical form. In this it
bears similarities to other, invocational, pictograms such as the hindu
swastika.


************************

David C. Ullrich


oo-er..

a string is
simply a finite sequence of characters.

Um yes, that's what I said. A string is a pictogram.

You see.., well what can I tell you Mr. Daryl.
I will give you a lecture that should prove mildly enlightening. Did
you read my post on the integral text of mathematics, and integral
texts in general? Well, it suggests that if the institutional
repository of a community is knowledge then that knowledge is stored as
an integrated text comprised of the integration of style,
author/history and idea. The integral text is devoid of conceptual
content but can be used to stymy debate. You are employing the integral
text to stymy debate by thinking with the integral text - conflating
mathematical idea with its style and author/history.

.

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