What is a quantifier?
Q: What is a quantifier?
A: A quantifier is a way to state that a certain number of elements fulfill some criteria.
Q: What is an example of a quantified expression?
A: An example of a quantified expression is "every natural number has another natural number larger than it".
Q: Why are quantifiers and quantified expressions useful?
A: Quantifiers and quantified expressions are useful because they let rigorous statements claim how widespread a criteria is.
Q: What are the two basic kinds of quantifiers used in predicate logic?
A: The two basic kinds of quantifiers used in predicate logic are universal and existential quantifiers.
Q: What does a universal quantifier state?
A: A universal quantifier states that all the elements considered fulfill the criteria.
Q: What is the symbol for a universal quantifier?
A: The symbol for a universal quantifier is "∀", an upside down "A", to stand for "all".
Q: What does an existence quantifier state?
A: An existence quantifier states that at least one element considered fits the criteria.
Q: What is the symbol for an existential quantifier?
A: The symbol for an existential quantifier is "∃", a backwards "E", to stand for "exists".