(where \(x\) and \ y\) are distinct object variables).
There is one parent which creates one n-dimensional real-valued vector of object variables by applying a mutation with identical standard deviations to each object variable.
There are two kinds of variables, object variables as before, and intension variables, or individual concept variables, \ f, g, g_{1}, g_{2},\ldots\).
Formulas are built up from atomic formulas in the usual way, using propositional connectives, modal operators, and two kinds of quantifiers: over object variables and over intension variables.
Although Frege wouldn't quite put it this way, our reconstruction suggests that Frege treats open formulas with free object variables as if they denoted concepts.
If \(x_{1}, \ldots,x_{n}\) are object variables and \(P\) is an \(n\ -place relation\ -place \(P(x_{1}, \ldots,x_{n})\) is an atomic forelation
The object variables contain a content slot used by a modeled attribute value, which is defined as a proposition of a quality data representation shown in Fig. 6.
In this notation, the symbols ἐ and ἀ bind the object variables ε and α in the expressions ƒ and g, respectively, and the resulting expression denotes a course-of-values.
There is an infinite list of object variables, \ x, y, x_{1}, x_{2},\ldots\), and a list of relation symbols, \ R, P, P_{1}, P_{2},\ldots\), of all arities.
Their model formulae given in mathematical expressions (shown in Fig. 5) are defined as Negative Affect-related Expression and Positive Affect-related Expression role holders, which indicate relations between object variables and factors.
In the case of a first-order language, such a well-formed formula \(A\) counts as valid under an interpretation \(\alpha\) of the language iff it has a designated truth degree under this interpretation and all assignments of objects from the universe of discourse of this interpretation to the object variables.
