Full-name quantifiers refer to words that contain phrases such as "full quantity", "every", "arbitrary" and "everything" within a specified range, indicating the meaning of all objects within a specified range or the whole specified range. A proposition that contains a full-name quantifier is called a universal proposition.
Full name proposition: its formula is "all S with total quantity are P"
Full-name propositions can be expressed by full-name quantifiers, or by the repetition of subjects such as "everyone", or even without any quantifier symbols, such as "all mankind is wise."
Because algebraic theorems use full-name quantifiers, each algebraic theorem is a full-name proposition. It is also the full-name quantifier that makes the identity transformation by bringing in rules become the core of algebraic reasoning.
Extended data:
Is the negation of universal quantifier an existential quantifier with a sign? Represents (inverted e).
Definition: The phrases "some", "any one", "at least one", "one" and "existence" all mean an individual or a part. Such words are called existential quantifiers.
Propositions containing existential quantifiers are called special propositions. Special proposition: Its form is "There are several S's that are P"
Special propositions use existential quantifiers, such as "some" and "few", and can also use "basically", "general" and "just some". Propositions containing existential quantifiers are also called existential propositions.
The phrases "you yi" and "at least one" are usually called existential quantifiers in logic, and the symbol is "?" Express delivery.
Propositions containing existential quantifiers are called special propositions (existential propositions).
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.
Common existential quantifiers are "some", "one", "to a certain" and "part".
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.
Baidu encyclopedia-full name quantifier
Baidu Encyclopedia-Existential Quantifier