Set Symbols

Common Mathematical Sets

• $\mathbb{N}$ = natural numbers
• $\mathbb{Z}$ = all integers
• ${\mathbb{Z}}^{+}$ = positive integers
• ${\mathbb{Z}}^{-}$ = negative integers
• $\mathbb{Q}$ = rational numbers
• $\mathbb{R}$ = real numbers
• $\mathbb{C}$ = complex numbers
• $\{\}$ or $\varnothing$ = empty or null set

Symbol Cheat Sheet

Symbol	LaTeX	Meaning
$\{\}$	\{ \}	set
$\cup$	\cup	union
$\cap$	\cap	intersection
$\setminus$	\setminus	difference
$\oplus$	\oplus	symmetric difference
$\in$	\in	is a member of
$\notin$	\notin	is not a member of
$\subseteq$	\subseteq	is a subset of
$⊈$	\not\subseteq	is not a subset of
$\supseteq$	\supseteq	is a superset
$\not\supset$	\not\supseteq	is a not superset
$\subset$	\subset	is a proper / strict subset of
$\supset$	\supset	is a proper / strict superset of
$\mathcal{P}$	\mathscr{P}	power set
$\exists$	\exists	there exists at least one
$\exists !$	\exists!	there exists one and only one
$\nexists$	\nexists	there is no
$\forall$	\forall	for all