Application: Determine whether the following arguments are valid. If it is valid, then identify the rule of inference which justifies its validity. Otherwise, state a counterexample or identify the type of fallacy exhibited by the argument. 1. If it is Monday today, then it is June 1. It is Monday today, therefore, it is June 1. 2. Either Aimee or Jannah will report about Logic. Aimee did not report. Therefore, Jannah must have taken the report about Logic. 3. If it is not the case that x is an odd number and y is a prime number. Furthermore, x is not an odd number. Therefore, y is a prime number. 4. If f is a polynomial function, then it is also a rational function. Therefore, if f is a rational function, it is also a polynomial function. 5. If Julian wins the singing competition, then he will perform in national T.V. He performed in national T.V. It follows that Julian won the singing competition.
Application: Determine whether the following arguments are valid. If it is valid, then identify the rule of inference which justifies its validity. Otherwise, state a counterexample or identify the type of fallacy exhibited by the argument. 1. If it is Monday today, then it is June 1. It is Monday today, therefore, it is June 1. 2. Either Aimee or Jannah will report about Logic. Aimee did not report. Therefore, Jannah must have taken the report about Logic. 3. If it is not the case that x is an odd number and y is a prime number. Furthermore, x is not an odd number. Therefore, y is a prime number. 4. If f is a polynomial function, then it is also a rational function. Therefore, if f is a rational function, it is also a polynomial function. 5. If Julian wins the singing competition, then he will perform in national T.V. He performed in national T.V. It follows that Julian won the singing competition.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Application: Determine whether the following arguments are valid. If it is valid, then
identify the rule of inference which justifies its validity. Otherwise, state a counterexample or
identify the type of fallacy exhibited by the argument.
If it is Monday today, then it is June 1. It is Monday today, therefore, it is June 1.
2. Either Aimee or Jannah will report about Logic. Aimee did not report. Therefore,
Jannah must have taken the report about Logic.
3. If it is not the case that x is an odd number and y is a prime number. Furthermore, x
is not an odd number. Therefore, y is a prime number.
4. If f is a polynomial function, then it is also a rational function. Therefore, if f is a
rational function, it is also a polynomial function.
5. If Julian wins the singing competition, then he will perform in national T.V.
He performed in national T.V. It follows that Julian won the singing
competition.
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