Definition:Empty Set/Notation/Warning
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Notation for the Empty Set: Warning
Be careful not to mix the notations $\O$ and $\set {}$.
$\set \O$ does not mean the empty set.
It means: the set which contains $1$ element, that element being the empty set.
Neither is $\O$ to be written $\set 0$ as this is equally incorrect.
Sources
- 1971: Patrick J. Murphy and Albert F. Kempf: The New Mathematics Made Simple (2nd ed.) ... (previous) ... (next): Chapter $1$: Sets: The Empty Set
- 1993: Richard J. Trudeau: Introduction to Graph Theory ... (previous) ... (next): $2$. Graphs: Sets