Question 99
For a–c, decide whether the conclusion necessarily follows. Here T means entailed; F means not entailed, not necessarily that its negation is proved. Treat colours and object names as abstract sets, even when combinations sound unrealistic.
a. All pigs are green. All pens are blue. Some pens are pigs. Some pigs like boiled sweets. Some boiled sweets are blue pens. Therefore some boiled sweets are green.
b. All nuts are silver. All beans are blue. Some blue beans are sticky oil. Some silver nuts are blue beans. Some blue beans are forbidden books. Some sticky oil is forbidden books. Therefore some silver nuts are sticky oil.
c. All wood is dolls. All balls are black. Some dolls are white balls. Some black balls are white balls. Some black balls are purple cubes. Some purple cubes are dolls. Therefore some purple cubes are white balls.
a. All pigs are green. All pens are blue. Some pens are pigs. Some pigs like boiled sweets. Some boiled sweets are blue pens. Therefore some boiled sweets are green.
b. All nuts are silver. All beans are blue. Some blue beans are sticky oil. Some silver nuts are blue beans. Some blue beans are forbidden books. Some sticky oil is forbidden books. Therefore some silver nuts are sticky oil.
c. All wood is dolls. All balls are black. Some dolls are white balls. Some black balls are white balls. Some black balls are purple cubes. Some purple cubes are dolls. Therefore some purple cubes are white balls.