logic | MathCelebrity Forum

# logic

1. ### After a long journey, you finally arrive at the edge o a deep gorge where there are two identical br

After a long journey, you finally arrive at the edge o a deep gorge where there are two identical bridges from which to choose your path to the other side. One bridge is safe, while the other is very dangerous and has caused the deaths of hundreds of travelers. The owner of the first bridge is...
2. ### If the raccoon is innocent, then the opossum is not lying. If the rabbit is being truthful, then the

If the raccoon is innocent, then the opossum is not lying. If the rabbit is being truthful, then the opossum is lying. If the rabbit is lying, then it has something to gain from lying. The owl just found out that the rabbit would gain nothing from lying. Is the raccoon guilty or innocent Why...
3. ### If Tanya eats the box of donuts before she goes to bed, she'll wake up in a fog the next day. If she

If Tanya eats the box of donuts before she goes to bed, she'll wake up in a fog the next day. If she is in a fog, she will not do well on the SAT test that she will take the next day. If she doesn't do well on that SAT test, she will not get a scholarship to college and will have to pay her own...
4. ### Bashar just read that many more car accidents occur within 30 miles of one's home. He decided that h

Bashar just read that many more car accidents occur within 30 miles of one's home. He decided that he would wear his seat belt only when he is driving within 30 miles from his home and not on long trips because it is obviously safer to travel when you are more than 30 miles from your home...
5. ### Corvettes are known as sporty cars that can travel at high rates of speed. It is therefore assumed t

Corvettes are known as sporty cars that can travel at high rates of speed. It is therefore assumed that they are much more dangerous than minivans. An owner of a Corvette points out that when statistics are studied, there are far more deaths each year from crashes that involve minivans than...
6. ### If it is raining, I will get wet if I go outside. I went outside and got wet. Do I know it was raini

If it is raining, I will get wet if I go outside. I went outside and got wet. Do I know it was raining when I went outside? No. It could have been sunny and a sprinkler or a hose was on.
7. ### If Dan does not study, he will fail his history test. Dan failed his History test. Do we know that h

If Dan does not study, he will fail his history test. Dan failed his History test. Do we know that he did not study? No. Dan could have failed for a variety of other reasons, including studying but STILL failing.
8. ### All squares are rectangles and all rectangles are parallelograms, therefore all squares are parallel

All squares are rectangles and all rectangles are parallelograms, therefore all squares are parallelograms. Is this true? Yes. This is similar to A implies B and B implies C so A implies C also known as transitive property
9. ### If Susan is riding her bike, she always wears her helmet. Susan is wearing her helmet. Do we know th

If Susan is riding her bike, she always wears her helmet. Susan is wearing her helmet. Do we know that Susan is riding her bike? No. Susan may also wear her helmet for other activities like skateboarding.
10. ### If all A's are B's, then all B's are A's. Is this true?

If all A's are B's, then all B's are A's. Is this true? No. Example: All dogs are mammals, but not all mammals are dogs. All squares are rectangles, but not all rectangles are squares.