(a)What is the name of the popular fallacy given by theproposition 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 programsin JAVA.Everyone who knows how to write programs in JAVA canget a high-paying job.Therefore, someone in this class can geta high-paying job."The validity of the argument can be seen easily bysymbolizing the argument using propositional functions andquantifiers 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 thejustification(s) for each step.In doing this you shouldexplicitly 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:
This is the end of the preview.
access the rest of the document.