Logic 2 1 2 3 Inductive Reasoning Reasoning

Inductive Reasoning • Reasoning based on patterns you observe • Example: What is the

Conjecture • A conclusion you reach using inductive reasoning. • Example: What is the

Counterexample • An example that shows that a conjecture is incorrect. • Example: If

Conditional Statement • An if-then statement • Example: If it has three sides, then

Hypothesis • The if part of the statement. • Example: If it has three

Conclusion • The then part of the statement. • Example: If it has three

Converse • Flip flop the hypothesis and conclusion • Example: If it has three

Biconditional • An if-and-only-if statement (iff) • Both the conditional and converse have to

Homework 1. Write a conditional statement 2. Underline the hypothesis 3. Double underline the

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Logic 2. 1 - 2. 3

Inductive Reasoning • Reasoning based on patterns you observe • Example: What is the next number in the sequence 2, 4, 6, 8…?

Conjecture • A conclusion you reach using inductive reasoning. • Example: What is the next number in the sequence 2, 4, 6, 8…? Conjecture: 10

Counterexample • An example that shows that a conjecture is incorrect. • Example: If the name of a month starts with letter J, it is a summer month. Counterexample: January

Conditional Statement • An if-then statement • Example: If it has three sides, then it is a triangle.

Hypothesis • The if part of the statement. • Example: If it has three sides, then it is a triangle. Hypothesis: It has three sides

Conclusion • The then part of the statement. • Example: If it has three sides, then it is a triangle. Conclusion: It is a triangle.

Converse • Flip flop the hypothesis and conclusion • Example: If it has three sides, then it is a triangle. Converse: If it is a triangle, then it has three sides.

Biconditional • An if-and-only-if statement (iff) • Both the conditional and converse have to be true. • Example: It has three sides iff it is a triangle.

Homework 1. Write a conditional statement 2. Underline the hypothesis 3. Double underline the conclusion 4. Write the converse of your statement 5. Can you write the biconditional? If so what would it be?