Concept Networks Math Example 1

Solution

1. 1
   Core node: 'set' — everything else depends on it.
2. 2
   First layer: 'subset', 'union', 'intersection', 'complement' — all defined in terms of sets and their elements.
3. 3
   Second layer: 'De Morgan's laws' — connect complement with union and intersection via the identities $(A \cup B)' = A' \cap B'$ and $(A \cap B)' = A' \cup B'$.
4. 4
   Edges: set $\to$ subset (membership check), set $\to$ union/intersection (binary operations), set $\to$ complement (unary operation), {union, intersection, complement} $\to$ De Morgan's laws (structural relationship).