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It's in a philosophical context. It is evident that without extension, things can't have size, shape or length. Now I want to use a word that describes these latter concepts in term of their dependence on extension so that I can use the word in the following hypothetical context:

Extension and its .... are properties of material entities.

I have already thought of "derivatives" but for some reason I thought there may be better words.

  • "dependents", perhaps? – verbose Jan 16 '17 at 4:32
  • It depends on what you mean by "extension", which is a very abstract term (and therefore a very vague one, unless properly defined). Are you talking about continuous functions in ℝ³, for example? Or topological homogeneity? Or what? Material entities can have any property one wishes to assign them, after all; it isn't like there's a small fixed set for everything. – John Lawler Jan 16 '17 at 4:46
  • @JohnLawler, I am mainly intending its more abstract, metaphysical notions. See Wikipedia: Extension (metaphysics) – infatuated Jan 16 '17 at 5:01
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    embodiments- – Jim Jan 16 '17 at 6:08
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    I'd say it's very abstract. Precisely because it's simple. Like aether, the medium that light makes waves in. Similarly abstract, but descriptive of real phenomena, are the semantic properties of entities (i.e, what nouns refer to), as categorized by Frawley. These include '7. Physical Properties 7.1. Extendedness (often found in classifiers), 7.1.1. Dimensionality/Shape, 7.1.2. Direction'. In fact, classifiers are a good thing to look into, if you want metaphysical eigenconcepts. – John Lawler Jan 16 '17 at 15:53
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In this case, size (including length) and shape are manifestations of extension.

Extension and its manifestations are properties of material entities.

Collins:

manifestation countable noun
A manifestation of something is one of the different ways in which it can appear.

COBUILD Advanced English Dictionary. Copyright © HarperCollins Publishers

  • Yes! "Manifestation" also came to my mind, and considering your reaffirming suggestion, it is so far the closest word. Thanks! – infatuated Jan 16 '17 at 7:15
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Dimension

ODO

NOUN

usually dimensions
A measurable extent of some kind, such as length, breadth, depth, or height.

  • ‘the final dimensions of the pond were 14 ft. x 8 ft’
  • ‘the drawing must be precise in dimension’
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According to Oxford Dictionaries, in Physics Philosophy, extension is the property of occupying space. One could argue that size, shape, structure, etc. are elaborations of extension. Also from OD:

elaboration: the process of developing or presenting a theory, policy, or system in further detail

Your example:

Extension and its elaborations, such as size, shape, and structure, are properties of material entities.

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