(a) There is a triangle x such that for all circles y we have x is above y. O True False (b) For every object x, there is an object y such that if x # y then x and y have different colors. O True False (c) There is a circle x and there is a square y such that x and y have the same color. O True False (d) For all circles x and all squares y, there exist a triangle z such that z is a different color from x and y. O True False

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 29E
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8.
Refer to the Tarski world given below. The domain of all variables consist of all the objects in the
Tarski world. For each statement indicate whether it is true or false.
α
b
e
g
C
d
f
hi
k
Transcribed Image Text:8. Refer to the Tarski world given below. The domain of all variables consist of all the objects in the Tarski world. For each statement indicate whether it is true or false. α b e g C d f hi k
(a) There is a triangle x such that for all circles y we have x is above y.
O True False
(b) For every object x, there is an object y such that if x ‡ y then x and y have different colors.
O True False
(c) There is a circle x and there is a square y such that x and y have the same color.
O True False
(d) For all circles x and all squares y, there exist a triangle z such that z is a different color from x and y.
O True False
Transcribed Image Text:(a) There is a triangle x such that for all circles y we have x is above y. O True False (b) For every object x, there is an object y such that if x ‡ y then x and y have different colors. O True False (c) There is a circle x and there is a square y such that x and y have the same color. O True False (d) For all circles x and all squares y, there exist a triangle z such that z is a different color from x and y. O True False
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