Page:Carroll - Game of Logic.djvu/77

§ 2.] 16. All $$y$$ are $x$. i.e.

17. No $$y$$ exist. i.e.

18. Some $$y$$ are $x^\prime$. i.e.

15. Some $$y$$ exist. i.e.

1. No $$x$$ are $y^\prime$.

2. No $$x$$ exist.

3. Some $$x$$ exist.

4. All $$x$$ are $y^\prime$.

5. Some $$x$$ are $y$. i. e. Some good riddles are hard. 6. All $$x$$ are $y$. i. e. All good riddles are hard.

7. No $$x$$ exist. i. e. No riddles are good. [See pp. 41, 2]