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What is a Universal Set in set theory?
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The universal set is the set of all things that we could possibly consider in the context we are studying. Thus every set $A$ is a subset of the universal set. We often denote the universal set by $S$

For example, if we are discussing rolling of a die, our universal set may be defined as $S=\{1,2,3,4,5,6\}$, or if we are discussing tossing of a coin once, our universal set might be $S=\{H, T\}(H$ for heads and $T$ for tails).
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