Exist may refer to:
"Exist" is a single by electronic music artist OVERWERK. Released on June 23, 2014, the song also had "Exist (Club Mix)" released as part of a two-song EP package. OVERWERK, also a graphic designer, created the album cover.
The single was largely well-received. Wrote Vibe in June 2014, "Overwerk has the rare ability to blend sick electro with string arrangements and soundscapes that are fit to score an epic movie, making ['Exist'] both emotionally cinematic and extremely dance-inducing in one."
In June 2014 OVERWERK announced he would be undertaking his first American tour in July, having up to that point only traveled Canada and much of Europe. At the same time he announced a new single, and "Exist" was released on June 24, 2014 on the record label Fabrik. The track was packaged as part of a two-track EP which featured both an original mix and an extended club mix. OVERWERK had originally thought of the concept for "Exist" as a music video, but as of July 2014 the video was still pending, with Overwerk stating that "hopefully the video will get people thinking about things they don’t usually consider."
In predicate logic, an existential quantification is a type of quantifier, a logical constant which is interpreted as "there exists", "there is at least one", or "for some".
It is usually denoted by the turned E (∃) logical operator symbol, which, when used together with a predicate variable, is called an existential quantifier ("∃x" or "∃(x)"). Existential quantification is distinct from universal quantification ("for all"), which asserts that the property or relation holds for all members of the domain.
Symbols are encoded U+2203 ∃ THERE EXISTS (HTML ∃
· ∃
· as a mathematical symbol) and U+2204 ∄ THERE DOES NOT EXIST (HTML ∄
).
Consider a formula that states that some natural number multiplied by itself is 25.
This would seem to be a logical disjunction because of the repeated use of "or". However, the "and so on" makes this impossible to integrate and to interpret as a disjunction in formal logic. Instead, the statement could be rephrased more formally as