The problem was to develop a model of thought within the basic structure provided by general or "point-set" topology. To do this, it was necessary to make four basic assumptions. It was assumed that each individual possesses more than the classical five senses and that for each of these there exists a category of sensory data. Also, it was assumed that the Cartesian product of these categories formed a set M of thought elements for each individual, and that certain subsets of M provide support for cogitation. The relation, function, continuous function, and homeomorphism, which are used to relate sets in topology, are discussed as a possible ramification of the model for communication. The global properties of the homeomorphism and continuous function present each as a viable support for strong and meaningful communication between thought spaces of individuals.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc500624 |
| Date | 05 1900 |
| Creators | Cammack, Raymond W. |
| Contributors | Dunham, Darrell R., Connor, Frank, Brookshire, William K., Cooper, Jed Arthur |
| Publisher | North Texas State University |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | iii, 85 leaves, Text |
| Rights | Public, Cammack, Raymond W., Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved. |
Page generated in 0.0081 seconds