- published: 07 Jul 2016
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In predicate logic, a universal quantification is a type of quantifier, a logical constant which is interpreted as "given any" or "for all". It expresses that a propositional function can be satisfied by every member of a domain of discourse. In other words, it is the predication of a property or relation to every member of the domain. It asserts that a predicate within the scope of a universal quantifier is true of every value of a predicate variable.
It is usually denoted by the turned A (∀) logical operator symbol, which, when used together with a predicate variable, is called a universal quantifier ("∀x", "∀(x)", or sometimes by "(x)" alone). Universal quantification is distinct from existential quantification ("there exists"), which asserts that the property or relation holds only for at least one member of the domain.
Quantification in general is covered in the article on quantification (logic). Symbols are encoded U+2200 ∀ FOR ALL (HTML ∀
· ∀
· as a mathematical symbol).
(Verse1)
Broken again I'm, down on my knees ripped apart
But I see you out there
So I'm taking these chains off my heart
(Hook 1)
I'm listenin' close for you
Feeling my way after dark
I'm on my way to you
And won't nothin' keep me from ya
(Chorus)
So I'll just free run, till my feet start to lift off the ground
I will just free run, till I'll find myself right where you are, oh
Whoa, whoa, I'll free run to ya
Whoa, whoa, free run to ya
(Verse 2)
Life with you leaving, Is like being locked upside down
I'm all out of reasons, to let all this hurt keep me bound
(Hook 2)
I'll listen close for ya
I don't wanna miss the good parts
I'm on my way to ya
And no one will keep me from ya
(Chorus)
So I'll just free run, till my feet start to lift off the ground
I will just free run, till I find myself right where you are, oh
Whoa, whoa, I'll free run to ya
Whoa, whoa, free run to ya