ONT Re: Inquiry Driven Systems
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i return to the last frame of the picture that we were just viewing:
o-----------------------------o-----------------------------o
| Objective Framework | Interpretive Framework |
o-----------------------------o-----------------------------o
| |
| s^1 |
| · |
| · |
| · |
| · |
| p · · · · s^2 |
| · · |
| · · |
| · · |
| · · |
| q · · · · s^3 |
| · |
| · |
| · |
| · |
| s^4 |
| |
o-----------------------------------------------------------o
let's imagine that we investigate the geometry of the space
that is herein depicted, and that we discover the following
collection of curious facts:
1. one notes a point of view P from which a rotation
of the segment <p, s^1> into the segment <p, s^2>
appears to subtend the same angle as the rotation
of the segment <q, s^4> into the segment <q, s^3>.
2. one notes a point of view Q from which a rotation
of the segment <p, s^1> into the segment <p, s^3>.
appears to subtend the same angle as the rotation
of the segment <q, s^4> into the segment <q, s^2>
let us suppose that we use the alternate form of words that redescribes
the rotation of <x, y> into <x, z> as "the turning of y into z about x".
then the sample of observations just collected can be rewritten like so:
1. there is a point of view P from which the turning of s^1 into s^2 about p
appears to describe the same angle as the turning of s^4 into s^3 about q.
2. there is a point of view Q from which the turning of s^1 into s^3 about p
appears to describe the same angle to the turning of s^4 into s^2 about q.
getting way too late ...
think i will turn in ...
jon awbrey
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