Logic -- Juvenile literature; Logic, Symbolic and mathematical
3. When one is the Name of a Thing, and the other the Name of an
Attribute (for example, "these Pigs are pink"), since a Thing cannot
actually BE an Attribute.
4. That the Substantive shall be supposed to be repeated at the
end of the sentence (for example, "these Pigs are pink (Pigs)").
5. A 'Proposition' is a sentence stating that some, or none, or all,
of the Things belonging to a certain class, called the 'Subject',
are also Things belonging to a certain other class, called the
'Predicate'. For example, "some new Cakes are not nice", that is
(written in full) "some new Cakes are not nice Cakes"; where the
class "new Cakes" is the Subject, and the class "not-nice Cakes"
is the Predicate.
6. A Proposition, stating that SOME of the Things belonging to
its Subject are so-and-so, is called 'Particular'. For example,
"some new Cakes are nice", "some new Cakes are not nice."
A Proposition, stating that NONE of the Things belonging to its
Subject, or that ALL of them, are so-and-so, is called 'Universal'.
For example, "no new Cakes are nice", "all new Cakes are not nice".
7. The Things in each compartment possess TWO Attributes, whose
symbols will be found written on two of the EDGES of that compartment.
8. "One or more."
9. As a name of the class of Things to which the whole Diagram is
assigned.
10. A Proposition containing two statements. For example, "some
new Cakes are nice and some are not-nice."
11. When the whole class, thus divided, is "exhausted" among the
sets into which it is divided, there being no member of it which
does not belong to some one of them. For example, the class "new
Cakes" is "exhaustively" 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 x are y" and "no x are y'".
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
abc are def" may be re-arranged as "some bf are acde", each being
equivalent to "some 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 found written at three of
the CORNERS of the compartment (except in the case of m', which is
not actually inserted in the Diagram, but is SUPPOSED to stand at
each of its four outer corners).
Public-domain text, read in full here on John Shaqi.
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