Deducing Conclusions from Statements: Analyzing 6 Problems

1. To find my conclusions I had to think about each part of the problem. When you know that one thing means you go on to the next part. When you figure out what that means you have to see how the two statements are related. If they are related then you can deduce a conclusion that makes sense. 2. Here are my conclusions for the 6 problems on page 7. 1. a. No medicine is nice b. Senna is a medicine Here I deduced that Senna is not a nice medicine. I think this because the first statement says that “no medicine is nice. ” That tells me that all medicines are not nice.

The second statement says “Senna is a medicine”. That statement is straight forward. When you put them together you can decide that Senna is a medicine and medicines are not nice. So Senna is not nice. 2. a. All shillings are round b. These coins are round Here I decided that no now conclusions can be drawn. The first statement says “All shillings are round. ” That statement is clear. The second statement says “These coins are round. ” This tells you the coin they have are round. When you put these statements together you can see some flaws.

They say these coins but you don’t know if any of these coins are shillings. They can be other coins that are round. So you cannot deduce anything. These coins are 3. a. Some pigs are wild b. All pigs are fat Here I decided that there are no conclusions that can be made. The first statement tells you that some pigs are wild and the second tells you that all pigs are fat. But when you put these statements together you get wild pigs are fat but you already know that because the second statement says that all pigs are fat. Thus you cannot deduce anything. . a. Prejudiced persons are untrustworthy b. Some unprejudiced persons are disliked Here there are no conclusions that can be made. These statements are just statements are just statements and you cannot deduce anything from them. If you combine these statements you get prejudice persons are untrustworthy and some are disliked. 5. a. Babies are illogical b. Nobody who is despised can manage a crocodile c. Illogical persons are despised Here I deduce that Babies cannot manage a crocodile. The first statement says that Babies are illogical.

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The third statement says that illogical persons are despised. When you put those statement together you get babies are despised. Then you have to look at the second statement. Nobody who is despised can manage a crocodile. So when you put those statements together you get babies cannot manage a crocodile. 6. a. No birds, except ostriches, are 9 feet tall b. There are no birds in the aviary that belong to anyone but me c. No ostrich lives on mince pies d. I have no birds less that 9 feet tall. Here I deduced that the birds in the aviary are ostriches and they do not eat mince pies..

To deduce this I combined the third and fourth statements. Together it says that no birds less than 9 feet tall are in the aviary. Then when you combine that statement with the fourth statement you deduce that the birds in the aviary are ostriches. And when you conclude the third statement you get a final statement that says the birds in the aviary are ostriches and they do not eat mince pies. Part Two Valid Conclusion: People with hats are untrustworthy Untrustworthy people are dangerous. Invalid Conclusion: Some Golden Retrievers are gold These dogs are gold 3.

This POW has to do with mathematics because it is all about logic. In math without logic you would less successful then if you do have logic. If something does not seem right to you or is confusing you are using logic to realize that something is wrong and will use it to solve it. Without logic you wouldn’t know when something is right or wrong. 4. This POW was fairly simple. But some of the problems required you to think more than others. But if you think it out in steps you will be able to solve them easily. I believe that I did well and thought out each problem as well as I can.

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