Definitions
Deductive reasoning is based on...
Laws and Rules
Is the following statement true? If not, find a counterexample.
All teachers are women.
False; answers may vary
Rewrite the following as a conditional statement:
Ballet dancers like the opera.
If you are a ballet dancer, then you like the opera.
Which law was used to come to the conclusion below given the following:
(1) If you leave class early, then it counts as skipping class.
(2) Jake left class early.
Conclusion: Jake skipped class.
Law of detachment
Name at least 5 of the eight assistant principals at Carolina Forest.
Bailey, Soles, Owens, McKnight, Marvulli, Mason, McClellan, Weeks,
Inductive Reasoning is based on...
Inductive Reasoning is based on...
Find a counterexample for the following statement:
If you live in South Carolina, then you live in Conway.
you could live in Myrtle Beach
What is the converse of the following?
If Michael gets stung by a bee, then he has to go to the hospital.
If Michael has to go to the hospital, then he was stung by a bee.
Can the Law of Syllogism be used to make a conclusion based on the given information? If yes, what is the conclusion? If no, explain why.
(1) If Katie wakes up late, then she will miss the bus.
(2) If Katie wakes up late, then her parents will be mad.
No. The conclusion of one statement and hypothesis of the other are not the same.
A conditional statement is two parts called the...
Hypothesis and Conclusion
What kind of reasoning is the following scenario?
Richard sees his dad come home every day at 5 PM. One day while at soccer practice, he checks his watch and sees that it is 5:30. Therefore, his dad must be at home.
Inductive reasoning
DAILY DOUBLE
Is statement (2) the correct inverse of statement (1)? If not, explain why.
(1) If x is a fraction, then sqrt(x)>x .
(2) If x is not a fraction, then
sqrt(x) < x .
No,
sqrt(x)<x
is not the correct negation of
sqrtx>x.
Is the following conclusion valid based on the given information? If so, what law was used to come to that conclusion?
(1) Henry goes swimming when it is sunny out.
(2) If Henry goes swimming, then Martha will be home alone.
Conclusion: If it is sunny out, then Martha will be home alone.
Yes, the law of syllogism.
The Law of Syllogism says...
If p-->q and q-->r is true, then p-->r must be true.
What kind of reasoning is the following scenario?
In order to be marked tardy, you must be not be in the classroom when the bell rings. Sadie was in the breezeway outside when the bell rang. She was marked tardy.
Deductive reasoning
What is the inverse of the following statement:
If Brice walks to school, then he will get rained on.
If Brice does not walk to school, then he will not get rained on.
Is there a valid conclusion that can be made from the following information? If yes, what is it? If no, why not?
(1) If it is raining outside, then Mark will be upset.
(2) Mark is upset.
No because it doesn't follow the law of detachment. The second statement is not referencing the hypothesis of the first.
The Law of Syllogism says...
If p-->r is true and p is true, then q must also be true.
Is this statement true? If not, find a counterexample.
If x is any number except for 1 or 0, then x2>x.
False; if x is any fraction between 0 and 1, it will prove it false.
What is the contrapositive of the following statement:
Apples are a type of fruit.
If something is not a type of fruit, then it is not an apple.
Is there a valid conclusion that can be made from the following information? If yes, what is it and which law was used to find it? If no, why not?
(1) Students are very responsible.
(2) Responsible people are trustworthy.
If you are a student, then you are trustworthy.
OR
Students are trustworthy.
Law of Syllogism