This is an example of the logical error.
I could not invent the example of this logical error in math different from Russell's paradox-like things...
A logical error must be written in the language of logics. That is: it must be written as a well-formed formula. If you can't do this, then you're not doing math.
The fact that you can't write your arguments in well-formed formulas should already tell you that your entire point is invalid.