Inverted theory networks

Master Thesis

2005

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http://hdl.handle.net/11427/4872
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thesis_sci_2005_christodoulides_n.pdf (10.91 MB)
Authors
Christodoulides, Nico
Supervisors
Rewitzky, Ingrid
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University of Cape Town

Department
Department of Mathematics and Applied Mathematics
Faculty
Faculty of Science
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Abstract
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.
Description

Includes bibliographical references (leaves 147-152).

Keywords
Mathematics

Reference:

Christodoulides, N. 2005. Inverted theory networks. University of Cape Town.

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