WGU C959: Discrete Math I Already Passed

WGU C959: Discrete Math I Already Passed Form When an argument has been translated from English using symbols Invalid Describes an argument when the conclusion is false in a situation with all the hypotheses are are true Valid Describes an argument when the conclusion is true whenever the hypotheses are all true Conclusion The final proposition Hypothesis Each of the propositions within an argument Argument Sequence of propositions Two Player Game In reasoning whether a quantified statement is true or false, it is a useful way to think of the statement in which universal and existential compete to set the statement's truth value. Nested Quantifier A logical expression with more than one quantifier that binds different variables in the same predicate Predicate A logical statement whose truth value is a function of one or more variables Domain of a variable The set of all possible values for the variable universal quantifier ∀ "for all" universally quantified statement ∀x P(x) Counterexample For a universally quantified statement, it is an element in the domain for which the predicate is false. existential quantifier ∃ "there exists" Existentially quantified statement ∃x P(x) Quantifier Two types are universal and existential Quantified Statement Logical statement including universal