Students. Logic and Reasoning. Must be math class.

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Students. Logic and Reasoning. Must be math class.

Warm Up (Monday) 1. If possible, use the Law of Syllogism to draw a conclusion from the two given statements. If a language is Spanish, it is a Romance language. If a language is a Romance language, it has Latin roots. 2.If it is Friday night, then there is a football game. If there is a football game, then Josef is wearing his school colors. It is Friday night. What conclusion can you make? 3. What does a converse do to a conditional statement? What does an inverse do? A contrapositive?

Is the following a good definition? Why or why not? Clue is a board game. No, not reversible. A board game could be Monopoly.

Write the following sentence as a conditional. Professor Plum committed a murder with a candlestick in the conservatory. If Professor Plum committed a murder, then it was with a candlestick in the conservatory.

Write the converse for the following conditional. If Mr. Green committed the murder, then he did it with a rope. If Mr. Green did not commit the murder, then he did not do it with a rope.

To the left are the cards in your hand. Ms. Scarlet believes she knows who committed the murder. Can you provide a counterexample? “It was Mrs. Peacock in the hall with the revolver. Counterexample: the revolver card is in your hand

What is the contrapositive of the following statement? If Mrs. White committed the murder, then the murder was with the lead pipe in the billiard room. If the murder was not with the lead pipe in the billiard room, then Mrs. White did not commit the murder.

Write the following statement as a bi-conditional. The player that is a professor is Professor Plum. A player is a professor iff the player is Professor Plum. A player is Professor Plum ↔ the player is a professor.

Write a new conditional from the following statements. What law are you using? If the murder was in the kitchen, then Colonel Mustard committed the murder. If Colonel Mustard committed the murder, then the murder was with the wrench. If the murder was in the kitchen, then the murder was with the wrench. Law of Syllogism

The order of players is as follows… Scarlet takes the first turn Green takes the second turn Plum goes third White goes fourth Who will be playing on the 22 rd turn of the game? Professor Green

If the murder is not in the hall, then the murder is not committed by Ms. Scarlet. Assume the above statement is a true conditional. If you know the murder was committed by Ms. Scarlet, is there enough information to know where the murder occurred? Why or why not? Murder was in the hall. Conditionals and Contrapositives have the same truth value!

If the murder wasn’t committed in the kitchen, then it was in the study. If the murder was committed with a knife, then it wasn’t committed in the kitchen. If the murder was in the study, then Colonel Mustard committed it. If the murder was in the kitchen, then Plum committed it. If the murder was committed by a male, then it was done with a knife. The murder wasn’t committed by a female. What can you conclude? Colonel Mustard in the study with the knife.