ds-t2b

A what is the name of the popular fallacy given by

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(a) What is the name of the popular fallacy given by the proposition above? (b) Why is reasoning using this argument form deemed invalid? 8. (15 pts.) The following is a valid argument: "Frodo, a student in this class, knows how to write programs in JAVA. Everyone who knows how to write programs in JAVA can get a high-paying job. Therefore, someone in this class can get a high-paying job." The validity of the argument can be seen easily by symbolizing the argument using propositional functions and quantifiers as follows: Define propositional functions as follows: c(x) : "x is in this class" j(x) : "x knows how to write programs in JAVA" h(x) : "x can get a high-paying job" Then the argument translates into this: c(Frodo) j(Frodo) ( x)(j(x) h(x)) ( x)(c(x) h(x)) In the proof of validity which follows provide the justification(s) for each step. In doing this you should explicitly cite rules of inference and quantification, hypotheses, and preceding steps by number. 1. ( x)(j(x) h(x)) Justification: 2. j(Frodo) h(Frodo) Justification: 3. j(Frodo) Justification: 4. h(Frodo) Justification: 5. c(Frodo) Justification: 6. c(Frodo) h(Frodo) Justification: 7. ( x)(c(x) h(x)) Justification:
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