Those are really conceptual complexes.

But it doesn't matter.

Let's start with the obvious, "simple" concept of  "9"  .

Which can refer to nine *abstract entities*, *trees*, *snakes*,  *boxes*  -

or a "broken nine", or a "an inflated nine" or *nine diverse objects* or *a mixed-up nine*

or * ......... *  or  " ^ /. h k < X ,@ "

or

Where's the pattern?

[The same reasoning/examples applies to all the equations taken as wholes].

All the equations you cite, like the whole of maths and logic, are patterned, specific *applications*/examples of given concepts.

But maths does not and cannot use concepts wholly/ properly with their open-ended realms of reference.

Concepts like "Line" and "number" in ordinary language can embrace infinite examples, which are non-mathematical and which mathematics wouldn't go near.



-----Original Message----- From: Matt Mahoney
Sent: Friday, August 24, 2012 7:29 PM
To: AGI
Subject: Re: [agi] Pattern: definition & incremental syntax.. P.S.

On Fri, Aug 24, 2012 at 2:19 PM, Mike Tintner <[email protected]> wrote:
show one single concept in the whole of *MATHEMATICS* or *LOGIC* that is
patterned.

9 x 9 + 7 = 88
98 x 9 + 6 = 888
987 x 9 + 5 = 8888
9876 x 9 + 4 = 88888
98765 x 9 + 3 = 888888
987654 x 9 + 2 = 8888888
9876543 x 9 + 1 = 88888888


-- Matt Mahoney, [email protected]


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