A Topological Model of Thought

• Main Author: Cammack, Raymond W.
• Other Authors: Dunham, Darrell R.
• Format: Others
• Language: English
• Published: North Texas State University 1979
• Subjects: models of thought; individual thought topology; thought development; Thought and thinking > Mathematical models.
• Online Access: https://digital.library.unt.edu/ark:/67531/metadc500624/

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.