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DISCRETE MATH: LECTURE 3 DR. DANIEL FREEMAN 1. Chapter 2.2 Conditional Statements If p and q are statement variables, the conditional of q by p is "If p then q" or "p implies q" and is denoted p !q. It is false when p is true and q is false; otherwise it is true. We call p the hypothesis (or antecedent) of the conditional and q the


Discrete Mathematics Online Lecture Notes via Web. Conditional Statements The compound proposition implication. p q. is a conditional statement, and can be read as ``if p then q'' or ``p implies q''. Its precise definition is given by the following truth table


Definition: A conditional statement, symbolized by p q, is an if-then statement in which p is a hypothesis and q is a conclusion. The logical connector in a conditional statement is denoted by the symbol . The conditional is defined to be true unless a true hypothesis leads to a false conclusion. A truth table for p q is shown below.


In mathematical reasoning, to infer a conclusion we frequently make use of if-then statements. A conditional statement, symbolized by p q, is an if-then statement in which p is a hypothesis and q is a conclusion.


Converse, Inverse, Contrapositive Given an if-then statement "if p , then q ," we can create three related statements: A conditional statement consists of two parts, a hypothesis in the “if” clause and a conclusion in the “then” clause.


Discrete Mathematics Propositional Logic - Learn Discrete Mathematics Concepts in simple and easy steps starting from their Introduction, Sets, Relations, Functions, Propositional Logic, Predicate Logic, Rules of Inference, Operators and Postulates, Group Theory, Counting Theory, Probability, Mathematical Induction, Recurrence Relation, Graph and Graph Models, Introduction to Trees, Spanning ...


DISCRETE MATH: LECTURE 4 DR. DANIEL FREEMAN 1. Chapter 3.1 Predicates and Quantified Statements I A predicate is a sentence that contains a nite number of variables and becomes a statement when speci c values are substituted for the variables. The domain of a predicate variable is the set of all values that may be substituted in place of the ...


A disjunction is true if either statement is true or if both statements are true! In other words, the statement 'The clock is slow or the time is correct' is a false statement only if both parts are false! Likewise, the statement 'Mr. G teaches Math or Mr. G teaches Science' is true if Mr. G is teaches science classes as well as math classes!