• anonymous
Use The Law Of Detachment to draw a conclusion: 2. If The football team wins on Friday night, then practice is canceled for monday. The football team won by 7 points.
  • Stacey Warren - Expert
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  • chestercat
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  • anonymous
i can't draw it but i can give you some knowledge 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. This is like the Transitive Property. A key difference to remember is that Detachment works with only 2 statements while Syllogism works with 3 statements.

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