Definitions
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun The state or characteristic of being
indiscernible ;inability to beobserved . - noun Inability to be
perceived asdistinct from something else;indistinguishability .
Etymologies
Sorry, no etymologies found.
Examples
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“On dynamics, indiscernibility, and spacetime ontology.”
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So according to the principle of the indiscernibility of identicals (§3. 3), the two guises cannot be the same entity.
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The fact that these formulas in themselves define only indiscernibility relations is a logical commonplace.
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There is no sentence or set of sentences that could be added to the list beginning with Ref and LL that would guarantee that indiscernibility coincides with
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The indiscernibility relation defined by the identity symbol in M may differ from the one it defines in M²; and in particular, the latter may be more "fine-grained" than the former.
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We may imagine the domain of M1 to consist of people, and we can interpret indiscernibility in M1 to be the relation x and y have the same job.
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There are three important points to note about the relationship between indiscernibility, and the relation
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This means that the difference between indiscernibility and I (A, x, y) is minimized at least to the extent that, for a sufficiently rich language such as L, the valid formulas concerning indiscernibility (i.e., the formulas true in every model of what is termed below ˜the pure L-theory with identity™) coincide with the valid formulas concerning
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This is not to say, however, that there isn't a significant difference between identity qua indiscernibility and identity qua
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First, indiscernibility need not be the relation I (A, x, y) (where A is the domain of the structure).
Comments
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