Set Theory

            The article chosen is “Rethinking Set Theory” by Tom Leinster where categorization of results is being demonstrated in various and an example of such categorization is derived as follows; the article demonstrates results being presented using classical categorization where objects are grouped based on similar properties (Leinster Tom, 2014). For example a survey carried out in given school showing how many students are in the art class and a dance class respectively. Example includes in a certain year say 2014, the number of art students with respect to that of dance students is specified. The results were presented using classical categorization and the categories include art and dance students. There are still various ways of organizing and categorizing results. Conceptual clustering where classes are generated through formulation of their conceptual descriptions and entities being classified according to descriptions (Leinster Tom, 2014). Under this form of categorization, objects belong to one or more groups with varying degrees of fitness. Results can also be organized and categorized based on prototype theory where objects are grouped based on prototypes (Leinster Tom, 2014).

            For instance in this very survey, the information can be organized in a way showing the total number of students doing art and dance. The number of those doing both art and dance recorded the number of those doing art alone and the number of those doing dance alone recorded. This shows how a variety of ways of categorizing the information. Rearranging of categories makes the article the best source when categorizing information hence making the recording process easy.

References

Leinster Tom, (2014). Rethinking Set Theory, The American Mathematical Monthly

Vol. 121, No. 5 (May 2014), pp. 403-415  Published by: Mathematical Association of America

DOI: 10.4169/amer.math.monthly.121.05.403 Stable URL: http://www.jstor.org/stable/10.4169/amer.math.monthly.121.05.403

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