∃
Symbol  Format  Data 

∃  Code Point 
U+2203 
TeX 
\exists 

SVG 
The (there exists) symbol is used in math to express the existence of a variable. For example, the symbol is usually used in an expression like this.
In plain language, this expression means there exists a variable belonging to the set of natural numbers such that is even.
The 'there does not exist' symbol, ∄, is used in mathematical logic and set theory to denote the negation of the existential quantifier.
The element of symbol indicates that an expression belongs to or is in the set.
The colon symbol is used in math to represent a "such that" statement and also to represent a ratio in mathematics.
The syntax for "there exists" is a backwards captial E. It is often used in conjuction with a variable with certain properties.