Question

b) If you send me an email, then I will finish my program. If you do not send me an email, then I will go
to sleep early. Therefore If I go to sleep early. Is this argument valid

Answer 1

Answer:

Solution•Let p be the proposition “You send me an e-mail message, ” q the proposition “I will finish writing the program, ” r the proposition “I will go to sleep early,” and s the proposition “I will wake up feeling refreshed.” •Then the premises are p → q ,¬p →r, and r → s. •The desired conclusion is ¬q → s.•We need to give a valid argument with premises p → q, ¬p → r, and r → s and conclusion ¬q → s.•This argument form shows that the premises lead to the desired conclusion

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