Download presentation
Presentation is loading. Please wait.
Published byWhitney Powell Modified over 9 years ago
1
Logic 2.1 - 2.3
2
Inductive Reasoning Reasoning based on patterns you observe Example: What is the next number in the sequence 2, 4, 6, 8…?
3
Conjecture A conclusion you reach using inductive reasoning. Example: What is the next number in the sequence 2, 4, 6, 8…? Conjecture: 10
4
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
5
Conditional Statement An if-then statement Example: If it has three sides, then it is a triangle.
6
Hypothesis The if part of the statement. Example: If it has three sides, then it is a triangle. Hypothesis : It has three sides
7
Conclusion The then part of the statement. Example: If it has three sides, then it is a triangle. Conclusion : It is a triangle.
8
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.
9
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.
10
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?
Similar presentations
© 2024 SlidePlayer.com Inc.
All rights reserved.