Logic Lesson 2-2: Logic.

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Presentation transcript:

Logic Lesson 2-2: Logic

Venn diagrams: . .A show relationships between different sets of data. can represent conditional statements. is usually drawn as a circle. Every point IN the circle belongs to that set. Every point OUT of the circle does not. A =poodle ... a dog B= horse ... NOT a dog . B DOGS .A ...B   dog Example: Lesson 2-2: Logic

For all..., every..., if...then... Example1: All right angles are congruent. Congruent Angles Example 2: Every rose is a flower. Right Angles Flower lines that do not intersect Rose parallel lines Example 3: If two lines are parallel, then they do not intersect. Lesson 2-2: Logic

Law of Detachment Given: a true conditional statement and the hypothesis occurs pq is true p is given Conclusion: the conclusion will also occur q is true Lesson 2-2: Logic

Law of Detachment - Example Given: If aliens land, then the world will fall apart. Aliens land. Conclusion: The world will fall apart. Example 2: Given: If I build a snowman, then he will come to life and sing. Today I built a snowman. Conclusion: He will come to life and sing. Lesson 2-2: Logic

Law of Syllogism Given: Two true conditional statements and the conclusion of the first is the hypothesis of the second. pq and qr Conclusion: If the hypothesis of the first occurs, then the conclusion of the second will also occur. pr Lesson 2-2: Logic

Law of Syllogism - Example Given: If you make a scary face, then the baby will cry. If the baby cries, then she will not go to sleep. Conclusion: If you make a scary face, then she will not go to sleep. Lesson 2-2: Logic