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- Newsgroups: comp.cog-eng
- Path: sparky!uunet!tijc02!jdw255
- From: jdw255@tijc02.uucp (John Wilson )
- Subject: Speculation on the mind's data structures
- Message-ID: <1992Dec22.153529.29450@tijc02.uucp>
- Organization: Siemens Industrial Automation, Johnson City TN
- Distribution: net
- Date: Tue, 22 Dec 92 15:35:29 GMT
- Lines: 230
-
-
-
- The Minds Eye
-
- This is speculation on the mechanics of data structures used
- by minds to think. From what I have read, memory and processing
- elements of the mind are interspersed and show confusing signs of
- locality of reference combined with global knowledge. Compactness
- and massive parallel processing are also remarked upon in the
- literature. Data seems to reside in general areas, not in any
- specific spot. I am speculating that these traits can be explained
- by an encoding scheme which creates an eye's viewpoint.
- What if the mind consists of a virtual space full of four
- dimensional objects. How would the information which defines this
- space be stored? How would processing elements look into this space?
- How would objects be manipulated? Four dimensional objects would
- consist of three spacial dimensions and one time dimension. How would
- the time dimension be handled?
- Four dimensions are hard to experiment with, so most of my work
- has been done in two dimensions with the expectation that it scales
- upwards. The experiments consisted of creating a one dimensional
- array from a two dimensional space which could be both stored and
- manipulated by parallel processing elements (PE's). In figure 1
- sensor readings are given that a point of light would have at various
- distances. The value 6561 was chosen to make the numbers work out
- nicely. At a distance of 0 one sensor would be affected and it would
- receive all the light. At a distance of 8 seventeen sensors would be
- affected and would show a normal distribution of values adding up to
- 6561.
- Figures 2, 5, and 8 are diagrams which are converted to vectors
- in figures 3, 6, and 9 respectively. These vectors are converted to
- bar charts in figures 4, 7, and 10. The 50 element vectors hold
- information about a 450 point space. As the dimensions go up the
- compaction ratio also goes up. If the space is too crowded then
- information access becomes more difficult. Adding or removing points
- is accomplished by adding or subtracting appropriate values from
- figure 1 to a substring of the vector. Rotation of an object requires
- addition and subtraction of constants to bring some points closer while
- moving others away. Comparisions would be done by comparing
- substrings of vectors and might involve rotation or movement in the
- virtual space.
- Here are my speculative answers to my speculative questions!
- The information which defines the virtual space is stored as one
- dimensional vectors representing a viewpoint into the space. PE's
- look into this space by finding and processing subvectors. These
- subvectors contain the information about the points the PE's are
- interested in. Objects are manipulated by adding and subtracting
- values from appropriate subvectors. The time dimension would be
- handled by keeping old copies of the current vectors. Copies could be
- reduced in size to save space. This would cause some information to
- be lost.
-
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-
- FIGURE 1
-
- 0 6561
- 1 2187 2187 2187
- 2 729 1458 2187 1458 729
- 3 243 729 1458 1701 1458 729 243
- 4 81 324 810 1296 1539 1296 810 324 81
- 5 27 135 405 810 1215 1377 1215 810 405 135 27
- 6 9 54 189 450 810 1134 1269 1134 810 450 189 54 9
- 7 3 21 84 231 483 798 1071 1179 1071 798 483 231 84 21 3
- 8 1 8 36 112 266 504 784 1016 1107 1016 784 504 266 112 36 8 1
-
-
- FIGURE 2
-
- 9 * * * * *
- 8
- 7 * * * *
- 6
- 5
- 4
- 3
- 2
- 1
-
-
- FIGURE 3
-
- 242 506 786 1052 1277 1452 1569 1604 1525 1347
- 1144 1016 1005 1074 1151 1206 1266 1368 1503 1611
- 1641 1584 1476 1361 1284 1275 1334 1417 1455 1417
- 1331 1257 1221 1214 1221 1254 1319 1380 1369 1261
- 1107 1004 999 1053 1067 972 768 517 291 123
-
-
- FIGURE 4
- . ...
- ... ...
- .... ..... .
- .... ..... ... .
- ..... ....... ..... ...
- ...... ................ .....
- ...... .........................
- ....... ..........................
- ........ ............................ ..
- ..........................................
- ...........................................
- .............................................
- ...............................................
- ................................................
- .................................................
- ..................................................
-
-
-
-
-
-
-
-
-
-
-
-
-
-
- FIGURE 5
-
- 9
- 8 *
- 7 *
- 6 *
- 5 *
- 4 *
- 3 *
- 2 *
- 1
-
-
- FIGURE 6
-
- 104 265 507 805 1100 1338 1499 1582 1584 1499
- 1372 1284 1301 1366 1380 1290 1218 1260 1404 1512
- 1548 1620 1701 1674 1566 1539 1782 1782 1458 1458
- 1701 2187 1458 729 0 0 0 0 0 0
- 0 0 0 0 0 0 0 0 0 0
-
-
- FIGURE 7
- .
- .. .
- .. .. ..
- .. ... .. ..
- .. ......... ..
- .... ..............
- .... . ...............
- ...... .. ...............
- ........... ................
- ............................
- .............................
- ..............................
- ...............................
- ................................
- .................................
- ..................................
-
-
- FIGURE 8
-
- 9
- 8
- 7 * *
- 6 * * * *
- 5 * * * * * *
- 4 * * * * * * *
- 3 * * * *
- 2 *
- 1
-
-
- FIGURE 9
-
- 1080 2646 4941 5589 6111 5940 6696 6822 6804 6129
- 5913 5790 6042 5889 5730 5505 5550 5661 5715 6024
- 6453 7209 7329 7002 5868 4728 3447 2367 1383 699
- 285 93 21 3 0 0 0 0 0 0
- 0 0 0 0 0 0 0 0 0 0
-
-
-
-
-
- FIGURE 10
- .
- ..
- ...
- .. ...
- ... ...
- ... ....
- . .... ....
- . .... . ....
- . .... . .....
- ....... . .....
- ....... .. ......
- .......... ......
- ........... .......
- ........... ........
- ............ ........
- ............ .........
- ......................
- .......................
- ........................
- .........................
- ..........................
- ...........................
- ............................
- .............................
- ..............................
- ...............................
- ................................
-
- Best regards
- John Wilson
-