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How to express "existence" and "arbitrariness" with mathematical symbols?
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Any number (full name quantifier)? Derived from the English word Arbitrary, because lowercase and uppercase are easily confused, the first letter of the word is capitalized and then inverted. Similarly, existential number (existential quantifier)? Reverse writing of e from the word Exist.

Existence? Is it arbitrary as long as one of a set is satisfied? It is an element that exists in a random set.

Extended data

Existential quantifier: some, any, at least one, one, existence and other words that express individual or partial meaning.

Propositions containing existential quantifiers are called special propositions. The form of the special proposition is "Several S are P", and the special proposition "There is an X in M, which makes p(x) hold". Jane wrote:? x? ∈? m,p(x).

Read: there is an x that belongs to m, which makes p(x) hold.

For example:

(1) A triangle is a right triangle as long as any of its internal angles is a right angle.

(2) Some parallelograms are rhombic.

(3) Some prime numbers are not odd.

Baidu encyclopedia-mathematical symbols

Baidu Encyclopedia-Existence (Mathematical Noun)