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Includes bibliographical references (leaves 147-152).
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| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2014
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| _version_ | 1867613298860490753 |
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| access_status_str | Open Access |
| author | Christodoulides, Nico |
| author2 | Rewitzky, Ingrid |
| author_browse | Christodoulides, Nico Rewitzky, Ingrid |
| author_facet | Rewitzky, Ingrid Christodoulides, Nico |
| author_sort | Christodoulides, Nico |
| collection | Thesis |
| description | Includes bibliographical references (leaves 147-152). |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/4872 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:33:55.830Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2014 |
| publishDateRange | 2014 |
| publishDateSort | 2014 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/4872 Inverted theory networks Christodoulides, Nico Rewitzky, Ingrid Mathematics Includes bibliographical references (leaves 147-152). 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. 2014-07-31T08:06:50Z 2014-07-31T08:06:50Z 2005 Master Thesis Masters MSc http://hdl.handle.net/11427/4872 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics Christodoulides, Nico Inverted theory networks |
| thesis_degree_str | Master's |
| title | Inverted theory networks |
| title_full | Inverted theory networks |
| title_fullStr | Inverted theory networks |
| title_full_unstemmed | Inverted theory networks |
| title_short | Inverted theory networks |
| title_sort | inverted theory networks |
| topic | Mathematics |
| url | http://hdl.handle.net/11427/4872 |
| work_keys_str_mv | AT christodoulidesnico invertedtheorynetworks |