Expressions which are usable to the same effect have equal values, they are equivalent; and synonymy is primarily just this kind of equivalence.
If it is the process of semiosis that establishes the link between an expression and its meaning, then there is no room for any kind of indeterminacy: there must be a determinate, pre-existing object that becomes meaning through semiosis.
What kind of algebra is a part-whole system?
What the structural approach to language claims is that meanings are kind of outgrowths of the oppositions present within the system of language.
In algebraic words, that the meaning-assignment is somehow induced by some kind of binary relations on the part-whole system of language.
We can never encounter the set of all natural numbers; we can at most encounter a rule of the kind of '0 is a number x is a number, then also x' is a number'.
Thus, the meaning of an expression is a value, it is the value that determines the kind of brick the expression is, how it can be utilized within the opposition-based building of language.
Philosophers of diverse provenance claim that the hierarchical structure of abstract entities which are the means of our comprehending 15 our world arise from some kind of associations .
By cleaving to one of these definientia rather than the other, a definition of explicative kind generates, by fiat, a relationship of synonymy between definiendum and definiens which did not hold before.
Appeal to hypothetical languages of an artificially simple kind could conceivably bc useful in clarifying analyticity, if the mental or behavioral or cultural factors relevant to analyticity -- whatever they may be -- were somehow sketched into the simplified model.