Paradox 0000100101:


With questions about identity and belonging come questions about the form of communicative mediation.

The antinomy of the individual and the universal has its origin in language: in the aporia of linguistic being.

The work deals with the paradoxes of set theory, the indistinguishability of a set from its members, of a thing from its denotation.

The work presents us to Russell's paradox: Let R be the set of all sets thatare not members of themselves:

{\displaystyle R:=\{\,x\mid x\notin x\,\}}


It is an antinomy; a logical contradiction where the statements that contradict each other are equally well proven.

Suppose R contains itself, then because of the class property by which R was defined, it holds that R does not contain itself, which contradicts the assumption. Suppose the converse holds and R does not contain itself, then R satisfies the class property, so R does contain itself, contrary to the assumption.

Mathematically, thecontradictory equivalence is expressed as follows:

{\displaystyle R\in R\iff R\notin R}