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 Syllogism: "Man is mortal; Socrates is a man; therefore Socrates
is mortal," we have the following arrangement: "Mortal," the Major Term;
"Socrates," the Minor Term; and "Man," the Middle Term; as follows:
_Major Premise_: "Man" (_middle term_) is mortal (_major term_).
_Minor Premise_: "Socrates" (_minor term_) is a man (_major term_).
_Conclusion_: "Socrates" (_minor term_) is mortal (_major term_).
The reason for the rule that there shall be "_only three_" terms is that
reasoning consists in comparing _two terms_ with each other through the
medium of a _third term_. There _must be_ three terms; if there are
_more_ than three terms, we form two syllogisms instead of one.
III. _That one premise, at least, must be affirmative._ This, because
"from two negative propositions nothing can be inferred." A negative
proposition asserts that two things differ, and if we have two
propositions so asserting difference, we can infer nothing from them. If
our Syllogism stated that: (1) "Man is _not_ mortal;" and (2) that
"Socrates is _not_ a man;" we could form no Conclusion, either that
Socrates _was_ or _was not_ mortal. There would be no logical connection
between the two premises, and therefore no Conclusion could be deduced
therefrom. Therefore, at least one premise must be affirmative.
IV. _If one premise is negative, the conclusion must be negative._ This
because "if one term agrees and another disagrees with a third term,
they must disagree with each other." Thus if our Syllogism stated that:
(1) "Man is _not_ mortal;" and (2) that: "Socrates is a man;" we must
announce the Negative Conclusion that: (3) "Socrates is _not_ mortal."
Public-domain text, read in full here on John Shaqi.
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