In this chapter, we will be learning about logic reasoning in mathematics. We will start by understanding what a statement is and how to determine its truth value. We will also learn how to negate a statement. Additionally, we will explore the concept of an argument and how to analyze its validity. By the end of this chapter, we will be able to apply logical reasoning to solve mathematical problems effectively. Let's dive in and enhance our logical thinking skills!
• Explain the meaning of a statement and hence determine the truth value of a statement.
• Negate a statement
• Determine the truth value of a compound statement
• Construct statement in the form of implication (i) If p then q (ii) p if and only if q
• Construct and compare the truth value of converse, inverse and contrapositive of an implication.
• Determine a counter-example to negate the truth of a particular statement.
• Explain the meaning of argument and differentiate between deductive and inductive argument.
• Determine and justify the validity of a deductive argument hence determine whether the valid argument is sound.
• Form valid deductive argument for a situation.
• Determine and justify the strength of an inductive argument and hence determine whether the strong argument is cogent.
• Form a strong inductive argument of a certain situation.
• Solve problems involving logical reasoning.
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