nonlogical

Symbols in the signature are often called nonlogical constants, and an older name for them is primitives.

Model Theory Hodges, Wilfrid 2009

Pareto's 1901 essay "The Rise and Fall of Elites," conveys two themes to which Schumpeter would return time and time again: the inevitability of elites, and the importance of nonrational and nonlogical drives in explaining social action.

Jerry Muller on Schumpeter, Arnold Kling | EconLog | Library of Economics and Liberty 2009

But it is the latter, not the former, that we need to sort into logical and nonlogical constants.

Logical Constants MacFarlane, John 2009

Second there are the nonlogical constants, which get their interpretation by being applied to a particular structure; one should group the quantifier symbols with them, because the structure also determines the domain over which the quantifiers range.

Model Theory Hodges, Wilfrid 2009

Thus, in order to settle questions about logical form, and ultimately about which arguments are logically valid and which sentences logically true, we must distinguish the “logical constants” of a language from its nonlogical expressions.

Logical Constants MacFarlane, John 2009

However, there is little philosophical consensus about the basis for the distinction between logical and nonlogical expressions.

Logical Constants MacFarlane, John 2009

His proposal was that an argument is valid if and only if: under any allowed reinterpretation of its nonlogical symbols, if the premises are true then so is the conclusion.

Model Theory Hodges, Wilfrid 2009

He left it undetermined what symbols count as nonlogical; in fact he hoped that this freedom would allow one to define different kinds of necessity, perhaps separating ˜logical™ from

Model Theory Hodges, Wilfrid 2009

Instead of looking for the interpretations of the nonlogical constants that will make a sentence true, we fix the interpretations of the nonlogical constants by choosing a particular structure A, and we look for assignments of elements of A to variables which will make a given formula true in A.

Model Theory Hodges, Wilfrid 2009

If a distinction that plays an important role in a theory of linguistic competence should turn out to coincide (in large part) with our traditional distinction between logical and nonlogical constants, then this fact would stand in need of explanation.

Logical Constants MacFarlane, John 2009