# What sentence must be the assumption of the subderivation that you cite when you use this rule?

01 / 10 / 2021 Course Titles

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(b) Explain how to derive one sentence from another sentence using this rule. What kind of sentence must be on the line that you cite when you use this rule? What kind of output sentence is produced? How does the input sentence look like the output sentence, and in what ways does the input sentence differ from the output sentence?(c) Will this rule allow you to derive a false sentence from a true sentence? Explain why or why not.3. Answer the following questions about the derivation you just completed (20 points):
(a) Which rule does your derivation use on line 40, and which line number do you cite on this line? (b) Explain how to derive one sentence from another sentence using this rule. What kind of sentence must be on the line that you cite when you use this rule? What kind of output sentence is produced? How does the input sentence look like the output sentence, and in what ways does the input sentence differ from the output sentence?(c) What special conditions does this rule come with? Are these conditions satisfied for the case in which you use this rule on line 40? Explain why or why not.(d) Would this rule allow you to derive a false sentence from a true sentence when the special conditions are not satisfied? Would this rule allow you to derive a false sentence from a true sentence when the special conditions are satisfied? Explain why or why not for both cases.4. Answer the following questions about the derivation you just completed (20 points):
(a) Which rule does your derivation use on line 41, and which line number do you cite on this line? (b) Explain how to derive one sentence from another sentence using this rule. What kind of sentence must be on the line that you cite when you use this rule? What kind of output sentence is produced? How does the input sentence look like the output sentence, and in what ways does the input sentence differ from the output sentence?(c) Will this rule allow you to derive a false sentence from a true sentence? Explain why or why not.5. Answer the following questions about the derivation you just completed (20 points):
(a) Which rule does your derivation use on line 42, and which individual line and which subderivation do you cite on line 42?(b) Explain how to use this rule. What kind of sentence must be on the individual line that you cite when you use this rule? What sentence must be the assumption of the subderivation that you cite when you use this rule? What sentence or sentences must appear inside the subderivation that you cite when you use this rule? Finally, what sentence does this rule allow you to derive? (c) What special conditions does this rule come with? Are these conditions satisfied for the case in which you use this rule on line 42? Explain why or why not.
(d) Why does this rule come with these special conditions? In other words, why would this rule be a bad rule without these conditions?

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