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Page:Carroll - Game of Logic.djvu/74

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58
[Ch. III.
CROOKED ANSWERS.

found written at three of the corners of the compartment (except in the case of , which is not actually inserted in the Diagram, but is supposed to stand at each of its four outer corners).

22. If the Universe of Things be divided with regard to three different Attributes; and if two Propositions be given, containing two different couples of these Attributes; and if from these we can prove a third Proposition, containing the two Attributes that have not yet occurred together; the given Propositions are called 'the Premisses', the third one 'the Conclusion', and the whole set 'a Syllogism'. For example, the Premisses might be "no are " and "all are "; and it might be possible to prove from them a Conclusion containing and .

23. If an Attribute occurs in both Premisses, the Term containing it is called 'the Middle Term'. For example, if the Premisses are "some are " and "no are ", the class of "-Things" is 'the Middle Term.'

If an Attribute occurs in one Premiss, and its contradictory in the other, the Terms containing them may be called 'the Middle Terms'. For example, if the Premisses are "no are " and "all are ", the two classes of "-Things" and "-Things" may be called 'the Middle Terms'.

24. Because they can be marked with certainty: whereas affirmative Propositions (that is, those that begin with "some" or "all") sometimes require us to place a red counter 'sitting on a fence'.

[See p. 39]