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2 cards from this section. Quick, good the night before a test.
What is reflexivity in relation to partial ordering?
Think about how many checks and balances exist in defining relationships.
Give an example of transitivity.
Think of a lineup where people cannot jump ahead.
What is the definition of partial ordering?
Consider the properties that define partial relations.
Are the elements 2 and 3 comparable in partial order of divisibility?
Think about the relationships that can exist.
Define a new relation on the set of integers where A ≤ B means A can be grouped to form B. Prove that this relation is a partial order.
Think about how fractions can form larger sets for grouping.
Given the subset relation, identify the Hasse diagram for {1, 2, {1, 2}}. Clarify all relationships.
Reflect on how smaller sets fit within larger ones, like visualizing building blocks.
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