(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, cannot get a high-payingjob.Everyone who knows how to write programs in JAVA can get ahigh-paying job.Therefore, someone in this class does not knowhow to write programs in JAVA."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)¬h(Frodo)(∀x)(j(x)→h(x))∴(∃x)(c(x)∧¬j(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.¬h(Frodo)Justification:2.(∀x)(j(x)→h(x))Justification:3.j(Frodo)→h(Frodo)Justification:4.¬j(Frodo)Justification:5.c(Frodo)Justification:6.c(Frodo)∧¬j(Frodo) Justification:7.(∃x)(c(x)∧¬j(x))Justification:
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