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Introduction
Inductive Argument: an argument in which the
premises are intended to provide support, but not
conclusive evidence, for the conclusion.
Strong Inductive Argument: an inductive
argument in which the premises actually do make
the conclusion more likely to be true (rather than
false).
Remember, strength comes in degrees.
Cogent Inductive Argument: a strong inductive
argument with true premises.
How can you know if the argument is inductive?
If the argument is invalid, the charitable thing
to do is treat it as inductive.
Indicator words: likely, probably, it’s plausible
to suppose that, etc.
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Inductive Generalizations
Generalization: statement made about all or
most members of a group.
Inductive generalization: inductive argument
that relies on characteristics of a sample
population (i.e., a portion of the population)
to make a claim about the population as a
whole.
i.e., an inductive argument with a generalization
as a conclusion.
Example: All the bass Hank caught in the
Susquehanna have been less than 1lb. So,
most of the bass in the Susquehanna are less
than 1lb.
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Making Inductive Generalizations
stronger by making conclusions weaker.
Notice…
All the bass Hank caught in the Susquehanna have
been less than 1lb. So, all of the bass in the
Susquehanna are less than 1lb.
..is a pretty weak argument. Even if Hank
fishes often, the Susquehanna is a big river
and his catches are not enough to justify
such a “sweeping conclusion.”
However, if we changed the conclusion to
“most of the bass are…” or, better yet,
“many of the bass are…” the argument
would be much stronger.
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Practice
Page 288, Exercise 11.1
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Evaluating Inductive Generalizations
Three questions to ask:
Are the premises true? Use the skills you
learned in chapter 8 to determine whether
you are justified in accepting the premises.
Is the sample large enough? In general, the
larger the population you are generalizing
about, the larger your “sample population”
will need to be.
Is the sample representative? Only if the
sample shares all the relevant “percentages”
with the population as a whole.
Maybe Hank only fished with lures that were
attractive to smaller fish.
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