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anonymous

  • one year ago

Law of syllogism question. Please help I included all three to help with understanding. I don't understand how to go about this.

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  1. anonymous
    • one year ago
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  2. mathstudent55
    • one year ago
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    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.

  3. mathstudent55
    • one year ago
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    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.

  4. mathstudent55
    • one year ago
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    Now try doing this with your 3 questions.

  5. anonymous
    • one year ago
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    Okay what about something like this

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  6. mathstudent55
    • one year ago
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    Law of Detachment If p, then q. Given p is true. Conclude q is true.

  7. mathstudent55
    • one year ago
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    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.

  8. mathstudent55
    • one year ago
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    8. is a case of the Law of Detachment. 9. is not.

  9. anonymous
    • one year ago
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    Awesome so how would you combine both together like in this sample.

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  10. mathstudent55
    • one year ago
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    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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