Inverted theory networks

The logicatom is defined, and it is argued that this represents the quantum of knowledge. Theory networks encapsulating a set of logicatoms and the dynamic relations between them, are defined. It is shown that these structures call emulate cellular automaton systems and in particular, simulate universal Turing machines. The regulating priuciple of natural selection is formalised together with its necessary and sufficient conditions. It is proven that there exists inverted theory networks (an analogous construct to theory networks) that satisfy all the requirements specified for natural selection to regulate their dynamics. The applicability of inverted theory networks to modelling thought is analysed. Further, inverted theory networks are proposed as a candidate for the pregeometry hypothesised by Wheeler.

Grantor dc:publisher.institution

Department of Mathematics and Applied Mathematics

Year dc:date.issued

2005

Author dc:creator

• Christodoulides, Nico

Advisor dc:contributor.advisor

• Rewitzky, Ingrid

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/11427/4872

OAI identifier oai:identifier

oai:open.uct.ac.za:11427/4872