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Mathematics 20 Online
OpenStudy (anonymous):

(1)she is a girl (2)her name is Chris (3)chris is a girl's name Law of syllogism, or law of detachment

OpenStudy (anonymous):

law of detachment

OpenStudy (anonymous):

do you want me to give you an example

OpenStudy (anonymous):

yes please...

OpenStudy (anonymous):

How about (1)people who download music (2)you download music (3)you eat pizza

OpenStudy (anonymous):

Let's look at Law of detachment first. If p and (p implies q), then we conclude q. Remember both parts of the hypothesis MUST BE TRUE. So, let's look at a couple of statements. p: This toy is a truck. q: This toy has 4 wheels. Rememeber p implies q means "If p, then q." So let's substitute. If this toy is a truck, then it has 4 wheels. Suppose "The toy is a truck." is true. And suppose "if this toy is a truck, then it has 4 wheels" is also true. What can you conclude? Well, you can conclude that the toy has 4 wheels. That's the Law of Detachment. It's "sort of like" substitution. --- Now, let's look at Law of Syllogism. Here you have 3 statements: p, q, & r. Notice that in the Law of Detachment you only had 2 statements to work with. Example: p: Mary is shorter than Debbie. q: Debbie is shorter than Joan. r: Joan is shorter than Maria. If (p implies q) and (q implies r), then we conclude (p implies r). Let's substitute: p implies q: If Mary is shorter than Debbie, then Debbie is shorter than Joan. q implies r: If Debbie is shorter than Joan, then Joan is shorter than Maria. We conclude that p implies r. So by Law of Syllogism, If Mary is shorter than Debbie, then Joan is shorter than Maria.

OpenStudy (anonymous):

that one is a law of detachment too

OpenStudy (anonymous):

If x is a whole number , then x^3>x. what is the counter example?

hero (hero):

Well, just 0 or 1.

hero (hero):

1 can't be greater than itself. Now if the symbel was greater than or equal to, then it would be different. But 1 > 1 is false

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