The Art of Logical Thinking; Or, The Laws of Reasoning — John Shaqi
The Art of Logical Thinking; Or, The Laws of ReasoningAtkinson, William Walker
Philosophy
The Art of Logical Thinking; Or, The Laws of Reasoning
Atkinson, William Walker
Logic; Reasoning
In the Proposition: "Man is an animal," the term _man_ is the Subject;
the term _an animal_ is the Predicate; and the word _is_, is the Copula.
The Copula is always some form of the verb _to be_, in the present tense
indicative, in an affirmative Proposition; and the same with the
negative particle affixed, in a negative Proposition. The Copula is not
always directly expressed by the word _is_ or _is not_, etc., but is
instead expressed in some phrase which implies them. For instance, we
say "he runs," which implies "he is running." In the same way, it may
appear at times as if the Predicate was missing, as in: "God is," by
which is meant "God is existing." In some cases, the Proposition is
inverted, the Predicate appearing first in order, and the Subject last,
as in: "Blessed are the peacemakers;" or "Strong is Truth." In such
cases judgment must be used in determining the matter, in accordance
with the character and meaning of the terms.
An _Affirmative Proposition_ is one in which the Predicate is _affirmed_
to agree with the Subject. A _Negative Proposition_ is one in which the
agreement of the Predicate and Subject is _denied_. Examples of both of
these classes have been given in this chapter.
Another classification of Propositions divides them in three classes, as
follows (1) Categorical; (2) Hypothetical; (3) Disjunctive.
A _Categorical Proposition_ is one in which the affirmation or denial is
made without reservation or qualification, as for instance: "Man is an
animal;" "the rose is a flower," etc. The fact asserted may not be
_true_, but the statement is made positively as a statement of reality.
A _Hypothetical Proposition_ is one in which the affirmation or denial
is made to depend upon certain conditions, circumstances or
suppositions, as for instance: "If the water is boiling-hot, it will
scald;" or "if the powder be damp, it will not explode," etc. Jevons
says: "Hypothetical Propositions may generally be recognized by
containing the little word 'if;' but it is doubtful whether they really
differ much from the ordinary propositions.... We may easily say that
'boiling water will scald,' and 'damp gunpowder will not explode,' thus
avoiding the use of the word 'if.'"
A _Disjunctive Proposition_ is one "implying or asserting an
alternative," and usually containing the conjunction "or," sometimes
together with "either," as for instance: "Lightning is sheet or forked;"
"Arches are either round or pointed;" "Angles are either obtuse, right
angled or acute."
Another classification of Propositions divides them in two classes as
follows: (1) Universal; (2) Particular.
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