263 Tarski's World Worksheet #3: Nested Quantifiers The domain for all variables is the set of obje…

263 Tarski #x27;s World Worksheet #3: Nested Quantifiers The domain for all variables is the set of objects in Tarski #x27;s world. Figure 1: Answer Questions (i), (ii), and (iii) for each quantified statement below. Use Tarski #x27;s World in the Figure above: (i) 3x, Jy (Circle(x) ^ Triangle(y) ^ Below(x,y)) (ii) ax, Jy (Circle(x) ^ Triangle(y) ^ SameColor(x,y)) Vx, Vy ((Circle(x) ^ Triangle(y)) _ SameColor(x,y)) Vx, Vy ((Square(x) ^ Square(y)) _ SameColor(x,y)) _ (Above(x,y) V Above(y,x)) _ Vx, Jy (SameColor(x,y) ^ (x ≠y)) Vx, Jy (SameColor(x,y) ^ SameShape(x,y) ^ (x ≠y)) (iii) 3x, Vy ((x ≠y) → Below(x,y)) (iv) ax, Vy ((x ≠y) _ (¬ SameColor(x,y) V ¬ SameShape(x,y))) Write the negation of the statement in symbolic form. DO NOT PUT the negation symbol in front of the statement. Rather, bring the completely through the statement, using DeMorgan #x27;s Laws and what we know about negating quantifiers and conditional statements: Determine which is true, the original statement or the negation. JUSTIFY your response to Question (ii).

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Видео 263 Tarski's World Worksheet #3: Nested Quantifiers The domain for all variables is the set of obje… канала Eleanor Shaw