Construct two partitions P and Q of [0,3] such that neither partition is a refinement of the other.
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Originally Posted by Coda202 Construct two partitions P and Q of [0,3] such that neither partition is a refinement of the other. Let $\displaystyle P = \{ 0,1,3\}$ and $\displaystyle Q = \{0,2,3\}$. We can see $\displaystyle P\not \subset Q$ and $\displaystyle Q\not \subset P$.
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