DISCRETE MATHEMATICS - UNIT 1 (1)

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    What is a proposition?

    A declarative sentence that is either true or false.

    How does a proposition differ from a non-proposition?

    Non-propositions cannot be assigned true or false values.

    What happens if a sentence is neither true nor false?

    It is not considered a proposition.

    What is negation in propositional logic?

    The opposite truth value of a proposition.

    What is conjunction in propositional logic?

    True only if both propositions are true.

    What is disjunction in propositional logic?

    True if at least one of the propositions is true.

    What is exclusive disjunction?

    True only if one proposition is true, but not both.

    Why study logic?

    It is essential for mathematical reasoning and computer science applications.

    What are applications of propositional logic?

    Used in designing circuits and verifying program correctness.

    What are predicates in logic?

    Statements that contain variables and become propositions when values are assigned.

    What are quantifiers in logic?

    Symbols that express the quantity of specimens in a statement.

    What are nested quantifiers?

    Quantifiers within other quantifiers, affecting the scope of variables.

    What are rules of inference?

    Principles that dictate valid reasoning from premises to conclusions.

    What is the importance of proof methods?

    They provide structured ways to demonstrate the truth of propositions.