Zeroth Law Of Semiotics • Discussion 4

Re: Zeroth Law Of SemioticsAll Liar, No Paradox
Re: FB | Pattern Languages for Systemic TransformationEsteban Trev

JA:
A statement S_0 asserts that a statement S_1 is a statement that S_1 is false.

The statement S_0 violates an axiom of logic, so it doesn’t really matter whether the ostensible statement S_1, 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 5 + 5 = 12 being a true statement, if one knows what base it involves, else it may be false.  The same for 4 + 4 = 10 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 GraphsCyberneticsLaws of FormOntolog Forum
cc: FB | SemeioticsMathstodonStructural ModelingSystems Science

This entry was posted in Animata, C.S. Peirce, Denotation, Information = Comprehension × Extension, Liar Paradox, Logic, Logical Graphs, Mathematics, Nominalism, Pragmatic Maxim, Semiositis, Semiotics, Sign Relations, Zeroth Law Of Semiotics and tagged , , , , , , , , , , , , , . Bookmark the permalink.

1 Response to Zeroth Law Of Semiotics • Discussion 4

  1. Pingback: Survey of Semiotics, Semiosis, Sign Relations • 3 | Inquiry Into Inquiry

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