Page:Carroll - Game of Logic.djvu/80

64 16. Some $$y$$ are $$x$$, and all $$x$$ are $$y$$. i.e.

17. No $$x^\prime$$ exist. i.e.

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

19. No $$x$$ are $$y$$. i.e.

20. Some $$x^\prime$$ are $$y$$, and some are $$y^\prime$$. i.e.

21. No $$y$$ exist, and some $$x$$ exist. i.e.

22. All $$x^\prime$$ are $$y$$, and all $$y^\prime$$ are $$x$$. i.e.

23. Some $$x$$ are $$y$$, and some $$x^\prime$$ are $$y^\prime$$. i.e.