(1)she is a girl (2)her name is Chris (3)chris is a girl's name Law of syllogism, or law of detachment
law of detachment
do you want me to give you an example
yes please...
How about (1)people who download music (2)you download music (3)you eat pizza
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.
that one is a law of detachment too
If x is a whole number , then x^3>x. what is the counter example?
Well, just 0 or 1.
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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