1. Con ikr the following argumnnt. Let the dornain be ??? people\" Premise i All
ID: 3903738 • Letter: 1
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1. Con ikr the following argumnnt. Let the dornain be ??? people" Premise i All surfers know how to suim and have to compete at in kast one sufing competition Premie is: There ?s no person that knows biw to swim or do" not have to compete in at kast one-fing competatom Conclsion: There exist no surfer (a) Translate each of the peemises and the coaclusion isto logical statemruts using propositional functioon, coenectins and qusntifiens. Be sure to dufine all qusntitin t b) Use rules of inference and locical equivalences to show that the argument is valid. Be sure to cite which raks of inference or logical equivalences you se on each line of your peoof, and indicate which line wambers are involved in each step.Explanation / Answer
D(x) - x is a surfer
C(x) - x complete in at least one surfing competition
S(x) - x knows swimming
?x (D(x)->S(x) ^C(x))-----(1)
?x(~(S(x) ^ C(x)) ------(2) (Threr does not exist can be replaced with for all)
?x (~D(x)) Modes tollens (1) and (2)
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