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Types of Space/Dimensions |
Required Operations |
Optional Operations |
Comparison |
Structural |
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exists |
CRUD, exists? |
count |
equivalence / difference |
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isometric map |
resolve / reverse resolve |
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map (hash/dict) |
resolve / reverse resolve |
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distance? |
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list (order / sequence) |
next / previous |
nth / count |
Index#/sequence / proximity |
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order / sequence |
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Gyrations which may apply to either Structure and Contextual |
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circularity (looped list/modulus) |
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binary tree (surface area) |
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tree |
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(think of cell lineage as a structural tree) |
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discrete / quantized |
step / units |
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Contextual |
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rotation? |
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extension? |
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uni-directionality / bi-dir… |
increase / decrease |
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linearity? |
change function / transform / constructors |
for any points in a linear context, you can define a point between them |
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continuous |
betweenness |
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set |
membership |
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list |
order |
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bounded vs. unbounded |
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context (selection of linear ranges in meaning space) |
possible max / min |
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actual max / min |
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neighborhood |
insideness |
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fuzzy and discrete boundaries |
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kinds of proximity |
measurable, rankable, nameable |
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ambiguity |
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amplitude |
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altitude |
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Language & Meaning |
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- Reference is discrete |
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- Emotion is continuous |
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- Meaning is at the juncture of both with the ability to indicate relevant directional ranges |
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symmetry |
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axis of rotation/symmetry |
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