Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License.
 noun The state or characteristic of being
indiscernible ;inability to beobserved .  noun Inability to be
perceived asdistinct from something else;indistinguishability .
Etymologies
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Examples

“On dynamics, indiscernibility, and spacetime ontology.”

So according to the principle of the indiscernibility of identicals (Â§3. 3), the two guises cannot be the same entity.

The fact that these formulas in themselves define only indiscernibility relations is a logical commonplace.

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

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 "finegrained" than the former.

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.

There are three important points to note about the relationship between indiscernibility, and the relation

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 Ltheory with identity™) coincide with the valid formulas concerning

This is not to say, however, that there isn't a significant difference between identity qua indiscernibility and identity qua

First, indiscernibility need not be the relation I (A, x, y) (where A is the domain of the structure).
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