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Logical Conclusions – Law of Syllogism
Strike through the parts of the sentences that are the same in both. (Select text, Format, Font, Strikethrough)
Highlight the remaining part-. (Select, Format, Font, Highlight or look for icon on toolbar)
IF it is the first part of the first sentence and the last part of the last sentence THIS IS YOUR CONCLUSION. Otherwise there is no conclusion.
1) If it rains then we will get wet.
If we get wet, then we will get a cold.
2) If you are 15 ½ then you can have a learners permit to drive.
If you have a learners permit to drive then you must drive with an adult.
3) If you have a part- time job then you will make some money.
If you make some money then you can start saving for a car.
4) If you start saving your money then you can buy a used car soon.
If you start saving you money then have it when you need it.
5) If you wish to take the quiz again, then please study tonight.
If you study tonight, then you should do better on the next quiz.
6) If you take the quiz again then the best score will be recorded.
If you take the quiz again then your grade may increase.
7) If you have the money then go to Belk.
If you go to Belk, then you can buy the expensive jacket.
If you buy the expensive jacket, then you will be fashionable.
8) If you want to be independent, then you should have your own car.
If you have your own car, then you have to pay for the insurance.
If you have to pay for the insurance, you will need a job.
9) If you watch too much TV, then you will find it hard to think on your own.
If you don’t have much imagination, then you find it hard to think on your own.
If you read a lot, then you don’t have time for TV.
10) If you don’t try your best, you will never know what you’re capable of.
If you never know what you’re capable of, you may become unhappy with your job.
If you become unhappy with your job, you may not please your boss.
If you don’t please your boss, you may get fired.
If you get fired, then you will have to look for another job.
If you have to look for another job, then you better have good references.
Get the idea????????
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Logical Sentences- Law of Detachment and Contrapositives
Detachment:
If the sentence is ONLY the first part of the original, then complete it for a valid conclusion.
Contrapositive:
If the sentence is the opposite of the last part, write the opposite of the first part.
ALL OTHER FORMS ARE INVALID WRITE “NO CONCLUSION”
Example: If it’s a dog then it has 4 legs.
a) Spot has 4 legs. No conclusion- matches the conclusion
b) Lester is not a dog. No conclusion - Opposite of hypothesis
c) Lucky has 6 legs. So Lucky is not a dog. Opposite of Hypothesis (Contrapositive Law)
d) Ralph is a dog. So Ralph has 4 legs ( Law of Detachment)
2) If it’s a fish then it can swim.
a) Bob is a fish.
b) Lucy can’t swim.
c) Pat is not a fish.
d) Dan can swim.
3) If it’s vertical then it’s congruent.
a) < A and < B are not congruent
b) < C and < D are vertical
c) < E and < F are congruent
d) < G and <H are not vertical
e) < A and < C are complementary
f) < D = < E
4) If it’s not yours then leave it alone!
a) Bob left it alone.
b) It’s not Alice’s.
c) Susan took it.
d) It was Cody’s.
e) Max did not leave it alone.