# Page:Carroll - Game of Logic.djvu/73

§ 1.]
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ELEMENTARY.

divided into "nice" and "not-nice" since every new Cake must be one or the other.

12. When a man cannot make up his mind which of two parties he will join, he is said to be "sitting on the fence"—not being able to decide on which side he will jump down.

13. "Some ${\displaystyle x}$ are ${\displaystyle y}$" and "no ${\displaystyle x}$ are ${\displaystyle y^{\prime }}$".

14. A Proposition, whose Subject is a single Thing, is called 'Individual'. For example, "I am happy", "John is not at home". These are Universal Propositions, being the same as "all the I's that exist are happy", "all the Johns, that I am now considering, are not at home".

15. Propositions beginning with "some" or "all".

16. When they begin with "some" or "no". For example, "some ${\displaystyle abc}$ are ${\displaystyle def}$" may be re-arranged as "some ${\displaystyle bf}$ are ${\displaystyle acde}$", each being equivalent to "some ${\displaystyle abcdef}$ exist".

 17. Some tigers are fierce, No tigers are not-fierce.
 18. Some hard-boiled eggs are unwholesome, No hard-boiled eggs are wholesome.
 19. Some I's are happy, No I's are unhappy.
 20. Some Johns are not at home, No Johns are at home.

21. The Things, in each compartment of the larger Diagram, possess three Attributes, whose symbols will be[See pp. 38, 9]