2. Which of the following are logically equivalent to the statement "Some luminous otters do not wear eyepatches." if U is the set of all otters, p(x) is the statement "x is luminous", q(x) is the statement "x wears an eyepatch", L is the set of all luminous otters, and Pis the set of all otters who wear an eyepatch? (Choose all that apply): I.LNP°6= Ø II. L°NP6= Ø III. Not all luminous otters wear an eyepatch. IV. Some otters who wear an eyepatch are not luminous. V. (X E U) (-(p(x) – q(x))) VI. (3x E U) (p(x) 1(x)

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.