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
As we have said, Deductive Reasoning is the process of discovering
particular truths from a general truth. Thus from the general truth
embodied in the proposition "All horses are animals," when it is
considered in connection with the secondary proposition that "Dobbin is
a horse," we are able to deduce the particular truth that: "Dobbin is an
animal." Or, in the following case we deduce a particular truth from a
general truth, as follows: "All mushrooms are good to eat; this fungus
is a mushroom; therefore, this fungus is good to eat." A deductive
argument is expressed in a deductive syllogism.
Jevons says regarding the last stated illustration: "Here are three
sentences which state three different facts; but when we know the two
first facts, we learn or gather the third fact from the other two. When
we thus learn one fact from other facts, we _infer or reason_, and we do
this in the mind. Reasoning thus enables us to ascertain the nature of a
thing without actual trial. If we always needed to taste a thing before
we could know whether it was good to eat or not, cases of poisoning
would be alarmingly frequent. But the appearance and peculiarities of a
mushroom may be safely learned by the eye or the nose, and reasoning
upon this information and the fact already well known, that mushrooms
are good to eat, we arrive without any danger or trouble at the
conclusion that the particular fungus before us is good to eat. _To
reason, then, is to get some knowledge from other knowledge._"
The student will recognize that Deductive Reasoning is essentially _an
analytic process_, because it operates in the direction of analyzing a
universal or general truth into its particulars--into the particular
parts which are included within it--and asserting of them that "what is
true of the general is true of the particular." Thus in the general
truth that "All men are mortal," we see included the particular truth
that "John Smith is mortal"--John Smith having been discovered to be a
man. We deduce the particular truth about John Smith from the general
truth about "all men." We analyze "all men" and find John Smith to be
one of its particular parts. Therefore, "Deduction is an inference from
the whole to its parts; that is, an analytic process."
The student will also recognize that Deductive Reasoning is essentially
_a descending process_, because it operates in the direction of a
descent from the universal to the particular; from the higher to the
lower; from the broader to the narrower. As Brooks says: "Deduction
descends from higher truths to lower truths, from laws to facts, from
causes to phenomena, etc. Given the law, we can by deduction descend to
the facts that fall under the law, even if we have never before seen the
facts; and so from the cause we may pass down to observed and even
unknown phenomena."
Public-domain text, read in full here on John Shaqi.
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