anonymous
  • anonymous
Law of syllogism question. Please help I included all three to help with understanding. I don't understand how to go about this.
Geometry
chestercat
  • chestercat
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anonymous
  • anonymous
1 Attachment
mathstudent55
  • mathstudent55
Law of syllogism: "If p, then q" is true, and "If q, then r" is true, then you can conclude "If p, then r" is true.
mathstudent55
  • mathstudent55
Here is an example: Use the law of syllogism with the two sentences: If it rains, then the road gets wet. If the road gets wet, then the car will skid. Conclusion: If it rains, the car will skid.

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mathstudent55
  • mathstudent55
Now try doing this with your 3 questions.
anonymous
  • anonymous
Okay what about something like this
1 Attachment
mathstudent55
  • mathstudent55
Law of Detachment If p, then q. Given p is true. Conclude q is true.
mathstudent55
  • mathstudent55
In 7, you are given If p, then q. Then you are told q is true. This is not a case of the Law of Detachment.
mathstudent55
  • mathstudent55
8. is a case of the Law of Detachment. 9. is not.
anonymous
  • anonymous
Awesome so how would you combine both together like in this sample.
1 Attachment
mathstudent55
  • mathstudent55
I'll show you the first one. If it is raining, the temperature is greater than 32 F. If the temperature is greater than 32 F, then it is not freezing outside. From the two statements above, using the Law of Syllogism, you can conclude: If it is raining, then it is not freezing outside. Then using "It is raining." and the Law of Detachment, you can conclude: "It is not freezing outside."

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