Mathematics 2130 Name: Homework 4 Date: (1) Either create a Tarski world that satises all of the conditions below or explain why no such Tarski world exists. Justify your answer in either scenario. (a) (b) (C) (d) (e) (f) (g) (h) (i) There is a triangle x such that for all squares y, x is above y. For all circles x and for all triangles y, x is to the right of y. For all circles x, there is a square y such that y is to the right of x. There is an object y such that for all objects x, if :1: 7E y then x and y have different colors. There is a circle x and there is a square y such that x and y have the same color. There is a circle x and there is a triangle y such that x and y have the same color. There is a triangle x such that for all circles y, x is above y. For all triangles x, there exists a square y such that y is to the left of x. There exists a row q such that for objects x and y appearing in row q, x and y have the same color