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Polynomials, and variants like rational functions, truncated power series, and Poisson series, represent an important class of expressions in algebraic manipulation.
After all, the new theory always seemed most plausible for a limited class of expressions: proper names and natural kind terms.
An abstract consequence relation can be defined on a language without selecting a particular class of expressions out for special treatment.
Indeed, most disputes about the right semantic treatment of some class of expressions are intertwined with questions about the syntactic form of sentences in which those expressions figure.
This class of expressions received considerable attention from Marty in his early work, especially with regard to the problem of statements which apparently have no subject, so-called "impersonals" (Impersonalien).
Both of these accounts, at least as typically understood, select from our language a class of expressions, the logical constants, to be treated differently from other expressions in the language.
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The two most widely accepted applications of two-dimensional semantics target restricted classes of expressions.
This presumptively platonistic and ontologically inflationary position was naturally uncongenial to the nominalist Leśniewski, and he readjusted the notion of category, turning categories from classes of entities (with their attendant expressions) to classes of expressions alone.
Although like later writers he could have called the classes of expressions 'syntactic categories', he deliberately chose the expression 'semantic categories' in order to emphasize that the expressions combined grammatically are all meaningful, unlike the meaningless marks proposed by formalist writers of the Hilbert School.
Carnap considers a wide class of designating expressions ("designators") among which there are predicate expressions ("predicators"), functional expressions ("functors"), and some others.
A set of 616 transcripts showing significant (false discovery rate <0.1) differences between the BMP4-treated Dicer-null and wild-type NS cells was hierarchically clustered to aid visualisation of the different classes of expression differences detected (Fig. 5J, K).
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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