Are all incomparable elements in a set considered both maximal and minimal?

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Say I have a set that has mixed comparable and incomparable elements.

$$S_C = \{ 1, 2, 3 \}$$

$$S_I = \{, \}$$

$$...$$

$$ S_M = S_C \cup S_I \cup ... $$

$$ where $$

$$S_J \in S_I || S_M\setminus S_j $$

By convention, are all elements of $S_J$ said to be both maximal and minimal on the set $S_M$?