Building a Discussion Group Using Set Theory

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SUMMARY

This discussion focuses on using set theory to model a discussion group with two initial sets: Persons and Strings. The derived sets include Members, which is a subset of Persons; Topics, a subset of Strings; Statements, also a subset of Strings; and Views, which consists of the Cartesian product of Members and Statements. The notation for Views is clarified as views ⊆ Members × Statements, emphasizing the relationship between members and their statements.

PREREQUISITES
  • Understanding of basic set theory concepts, including subsets and Cartesian products.
  • Familiarity with notation used in set theory, particularly for defining sets and relationships.
  • Knowledge of how to represent relationships between different sets.
  • Basic understanding of logical structures in mathematical modeling.
NEXT STEPS
  • Explore advanced set theory concepts, such as power sets and relations.
  • Learn about formal notation in set theory to enhance clarity in definitions.
  • Investigate applications of set theory in data modeling and database design.
  • Study the implications of Cartesian products in relational databases.
USEFUL FOR

This discussion is beneficial for mathematicians, computer scientists, data modelers, and anyone interested in applying set theory to practical problems in group dynamics and data organization.

Shephard
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Hi,

I was wondering if anyone had any ideas how to approach this model building exercise. I've got to use set theory to design a discussion group, I'm given two initial sets (Persons and Strings), from this I have to make the following sets:

Members - set of members, each member is a person.
(This i believe is a simple set in which member is a subset of Persons)

Topics - set of topics debated, each topic is a string.
(I believe topic is a subset of string)

Statements - set of statements made by members, eash statement is a string.
(Again i think this is a simple statement is subset of string)

Views - set of views of members on topics, each view consists of of a statement and the name of the member who made the statement.
(This I am unsure of notation on, as view consists of a member and a statement)

Thanks in advance.
 
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Shephard said:
Hi,

I was wondering if anyone had any ideas how to approach this model building exercise. I've got to use set theory to design a discussion group, I'm given two initial sets (Persons and Strings), from this I have to make the following sets:

Members - set of members, each member is a person.
(This i believe is a simple set in which member is a subset of Persons)

Topics - set of topics debated, each topic is a string.
(I believe topic is a subset of string)

Statements - set of statements made by members, eash statement is a string.
(Again i think this is a simple statement is subset of string)

Views - set of views of members on topics, each view consists of of a statement and the name of the member who made the statement.
(This I am unsure of notation on, as view consists of a member and a statement)

Thanks in advance.

Assuming the sets of members and statements are already defined, then views [tex]\subseteq[/tex]members x statements where x is the cartesian product operator.
 
Thanks, that makes sense
 

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