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For one thing, there may be nonphenomenal properties of representations that vary continuously.
This theory coexists, in Helmholtz's epistemology, with his above commitment to the sign theory, according to which spatial properties are only properties of representations.
This language consists of a system of representations that is physically realized in the brain of thinkers and has a combinatorial syntax (and semantics) such that operations on representations are causally sensitive only to the syntactic properties of representations.
Other representationalists accept the existence of qualia but treat them as objective properties that external objects are represented as having, i.e., they treat them as represented properties rather than as properties of representations or mental states (Dretske 1995, Lycan 1996).
In order to generate the character tables, properties of representations are calculated first and the characters for the symmetry operations are generated based on the operations in combination with the representations.
These ideas echo those of Dennett and Kinsbourne, 78 who draw the distinction between the representation of temporal properties and the temporal properties of representations.
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In particular, art seems to have the power both to represent reality and to express emotion, and some argue that it is through appreciating the properties of representation and expression that we recognize the meaning of art.
The measures described in the previous sections focus on mental imagery as internal representations that reproduce or simulate the properties of perceptual representations (Pearson, 2007).
Over the past 50 years, the dominant method for identifying the properties of syntactic representations has involved comparing two (or more) minimally different representations using a behavioral response known as an acceptability judgment as a proxy for grammatical well-formedness (Chomsky, 1965; Schütze, 1996).
A nominalist further believes that the structures we conceive of are properties of our representations of the world and not of the world itself.
It computes root systems of Lie algebras, weight systems and several other properties of irreducible representations.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com