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The criterion of identity will be determined by, but not determine, the criterion of application.
If the notion is interpreted in this way then the relation between the criterion of identity and the criterion of application will be that of one-way determination.
In this case the criterion of identity for Fs is not stated as a relation between entities distinct from Fs and the criterion of identity cannot plausibly be thought of as determining the criterion of application.
Adjectival terms, which have only a criterion of application and no criterion of identity, are ones which have a use in such crude predications, but no use in statements of identification.
The relation between the criterion of identity for Fs and the criterion of application for the concept F (the standard for the application of the concept to an individual) is then that to be an F is just to be something for which questions of identity and distinctness are to settled by appeal to the criterion of identity for Fs.
Vi may be a criterion of application for this therapy.
Similar(54)
We may assume that the semantics of a predicate is specified by means of its criteria of application.
Such understanding, captured in criteria of application and truths shared among competent users, does not provide sufficient metaphysical guidance.
They require criteria of application in experience and the total meaning of a term for an individual consists of the concept it expresses and the sensory criteria for its application.
Now ordinary language hosts predicates with different, and occasionally conflicting, criteria of application: some criteria for applying P may entail that object m is in the extension of the predicate, some others, that m is in its anti-extension, or negative extension.
All of those names and general sortal terms (usable in forming complex names) that share a criterion of identity are said to be terms of the same category, even if the criteria of application for the associated sortals vary (1973/1981, 546).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com