. . . . . . . 1.) A denial of the sentence

Some cats like water.

is

It is not the case that some cats like water.

is equivalent to

No cats like water.

. . . . . . . 2.) A denial of the sentence

Some cats don't like water.

is

It is not the case that some cats don't like water.

is equivalent to

No cats don't like water.

is equivalent to

All cats like water.


. . . . . . . 3.) A denial of the sentence

No cats like water.

is

It is not the case that no cats like water.

is equivalent to

Some cats like water.


. . . . . . . 4.) A denial of the sentence

All cats like water.

is

It is not the case that all cats like water.

is equivalent to

Some cats don't like water.



RETURN to problem set.



Duane Kouba 2002-06-06