sign relational complex


basis \PMlinkescapephraseBasis \PMlinkescapephrasecomponent \PMlinkescapephraseComponent \PMlinkescapephrasecomponents \PMlinkescapephraseComponents \PMlinkescapephrasenor \PMlinkescapephraseNor \PMlinkescapephraseobject \PMlinkescapephraseObject \PMlinkescapephraseobjects \PMlinkescapephraseObjects \PMlinkescapephrasepotential \PMlinkescapephrasePotential

A sign relational complex is a generalizationPlanetmathPlanetmath of a sign relation that allows for empty components in the elementary sign relations, or sign relational triples of the form (object,sign,interpretant).

Generally speaking, when it comes to things that are being contemplated as ostensible or potential signs of other things, neither the existence nor the uniqueness of the elements appearing in the sign relation is guaranteed. For example, the reference of a putative sign to its putative objects may actually achieve reference to zero, to one, or to many objects. A proper treatment of this complication calls for the conception of something slightly more general than a sign relation proper, namely, a sign relational complex. Expressed in practical terms, this allows for missing data in the columns of the relational database table for the sign relation in question. Typically one operates on the default assumptionPlanetmathPlanetmath that all of the roles of elementary sign relations are actually filled, but remains wary enough of the possible exceptions to deal with them on an ad hoc basis.

Title sign relational complex
Canonical name SignRelationalComplex
Date of creation 2013-03-22 17:53:11
Last modified on 2013-03-22 17:53:11
Owner Jon Awbrey (15246)
Last modified by Jon Awbrey (15246)
Numerical id 6
Author Jon Awbrey (15246)
Entry type Definition
Classification msc 94A05
Classification msc 03G15
Classification msc 03E20
Classification msc 03B42
Classification msc 03B10
Classification msc 94A15
Related topic RelationTheory
Related topic SignRelation
Related topic SimplicialComplex
Related topic TriadicRelation