Re: Zeroth Law Of Semiotics • All Liar, No Paradox
Re: FB | Pattern Languages for Systemic Transformation • Esteban Trev
- JA:
- A statement
asserts that a statement
is a statement that
The statement
the so-called liar, really is a statement or has a truth value.
- ET:
- Well the truth value can be true or false or something else — akin to
being a true statement, if one knows what base it involves, else it may be false. The same for
being a true statement, if one knows what base it involves.
Esteban is calling attention to the fact that our place-value systems of representation for integers and other numbers are relative to the basis chosen to generate the sequence of implied place values. The basis is, in effect, the key to the code. We may take this as a special case of a more general fact, one I summed up as follows.
- Reference is relative to a frame of reference. In pragmatic semiotics, frames of reference are called sign relations.
cc: Conceptual Graphs • Cybernetics • Laws of Form • Ontolog Forum
cc: FB | Semeiotics • Mathstodon • Structural Modeling • Systems Science
having many interpretant signs 
and many referent objects 
Generally speaking, then, we start out with a sign relation 
as a subset of a cartesian product 
where 
are sets called the object domain, sign domain, interpretant sign domain, respectively. A definition of a sign relation — there are a few canonical ones we find useful in practice — will specify what sort of constraint is involved in forming that subset.
Inquiry Into Inquiry 