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Induction by Confirmation

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Title: Induction by Confirmation


1
Induction by Confirmation
  • Induction can be used to support a hypothesis or
    theory by providing confirming instances of that
    hypothesis or theory.
  • When we propose a theory or hypothesis, there are
    certain things that ought to be observed if it is
    actually true (or probable).
  • These are called observation statements. If we
    do observe what the theory predicts, then we have
    confirmed the theory.

2
Induction by Confirmation
  • Induction by Confirmation then has the following
    form
  • If h then o
  • o
  • It is probable that h
  • NB similar to the formal fallacy of affirming
    the consequent

3
Induction by Confirmation
  • E.g. (203)
  • If the theory of general relativity is true, then
    it follows that light rays passing near the sun
    will bend.
  • During the solar eclipse of 1919 it was observed
    that light rays passing near the sun did bend.
  • It is probable therefore that the theory of
    general relativity is true.

4
Induction by Confirmation
  • When assessing these arguments, ask
  • Is the number of confirming instances relatively
    high?
  • In general, the more confirming instances the
    better the theory.
  • Are there any disconfirming instances?
  • Any disconfirming instance refutes the theory.

5
Induction by Confirmation
  • Disconfirming instances are regarded as
    refutations of a theory because such a refutation
    takes this form
  • If h then o
  • Not-o
  • Therefore not-h
  • That is, a disconfirming instances refutes a
    theory because we are dealing with a deductively
    valid argument form Modus Tollens (denying the
    consequent).

6
Analogical Reasoning
  • Analogical reasoning works by comparing things
    which are similar (analogous) and concluding that
    properties or relations that one thing has must
    also be present in the other.

7
Analogical Reasoning
  • E.g.,
  • Last year I put some fertilizer on my
    strawberries and in the fall got about 20 per
    cent more strawberries. You should do the same
    with your strawberries, since you have the same
    kind of soil. Youll probably get more
    strawberries too.

8
Analogical Reasoning
  • Analogies compare two cases the subject case,
    and the analogue case.
  • The subject case is the case about which we are
    trying to derive a conclusion (fertilizer on your
    soil)
  • The analogue case is the case about which we are
    more familiar (fertilizer on my soil).

9
Analogical Reasoning
  • The conclusion in an analogy makes a claim about
    the subject case, and in particular states that
    the subject case will (probably) have the target
    feature.
  • The target feature (increase in strawberry
    production) is the feature that is present in the
    analogue case, and it is being concluded that it
    (probably) is in the subject case.

10
Analogical Reasoning
  • There are two kinds of analogical arguments
  • Analogical Argument by Properties
  • Analogical Argument by Relations

11
Analogical Argument by Properties
  • Analogical Argument by Properties has the
    following form
  • x has A, B, C. analogue case
  • y has A, B. subject case
  • It is probable therefore that y has C target
    feature

12
Analogical Argument by Properties
  • E.g.,
  • Canada geese are water birds that nest in Canada
    in the early spring and migrate south to warmer
    climates for the winter months. Ducks are also
    water birds that nest in Canada in early spring.
    Therefore, ducks probably migrate south for the
    winter, too.

13
Analogical Argument by Properties
  • P1 analogue case Canada geese are water birds
    that nest in Canada in the early spring and
    migrate south to warmer climates for the winter
    months.
  • P2 subject case Ducks are also water birds
    that nest in Canada in early spring.
  • Conclusion Therefore, ducks probably migrate
    south for the winter target feature, too.

14
Analogical Argument by Relations
  • Analogical Argument by Relations has the
    following form
  • x is to y analogue case as a is to b subject
    case.
  • x is R to y.
  • It is probable therefore that a is R to b target
    feature

15
Analogical Argument by Relations
  • E.g.,
  • The proposal to give clean needles to prison
    inmates to stop the spread of AIDS from the use
    of dirty needles is ridiculous. It is like
    giving bank robbers normal bullets to stop them
    from using dum-dum bullets, which are much more
    damaging to the victim.

16
Analogical Argument by Relations
  • P1 Dum-dum bullets are to normal bullets (as
    used by bank robbers) analogue case as dirty
    needles are to clean (as used by prison inmates)
    subject case.
  • P2 Although dum-dum bullets are much more
    damaging to the victim, normal bullets still kill
    their victims. Further, the role of police
    officers is to stop bank robbers, not prevent the
    harms they cause.
  • Conclusion Although dirty needles are more
    damaging to the victim (addicts are likely to get
    HIV, etc.), clean needles can be just as damaging
    (e.g., overdoses). Further, the role of prison
    officials is to stop drug use, not prevent the
    harms caused by it.

17
Analogical Reasoning
  • When assessing these arguments, ask
  • Are the analogue case and the target case
    relevantly similar?
  • The more similar the two cases are, the stronger
    the analogy.
  • Of course, everything is similar to everything
    else in some respect. You are looking for strong
    similarities.

18
Chapter 14
  • Irrational Techniques of Persuasion

19
Irrational Techniques of Persuasion
  • There are several techniques employed that may be
    persuasive in getting someone to accept the
    conclusion of an argument, but are often
    irrationally employed.
  • They are irrational because one accepts the
    conclusion not because of reasons, but because of
    something else (e.g., emotion).

20
Loaded Terms
  • Loaded terms are terms which contain both a
    descriptive and evaluative meaning (we saw the
    difference between these types of uses of
    language in Ch. 2).
  • Sometimes these words can be used to smuggle in
    an evaluation, when it appears, on the surface,
    that someone or something is being described.

21
Loaded Terms
  • E.g.
  • terrorist
  • freedom fighter
  • Is Osama bib Laden a terrorist? Freedom fighter?
  • Michael Collins? Che Guevara?

22
Vague Terms
  • Remember the distinction between ambiguity and
    vagueness (Ch. 2).
  • Ambiguous terms are those that have two or more
    possible interpretations, and it is not clear
    which one is intended.
  • Vague terms are those which are imprecise, but
    the intended meaning is clear.

23
Vague Terms
  • The use of ambiguous terms is always fallacious.
  • The use of vague terms is only fallacious when
    precision is called for (sometimes it is not).
  • In particular, the use of vague terms is
    fallacious when it is used to persuade you of
    something that is false.

24
Vague Terms
  • The use of vague terms is particularly evident in
    advertising.
  • In particular, this is evident in the use of
    metaphorical words or phrases.

25
Vague Terms
  • E.g.,
  • Coke is the Real Thing

26
Loaded Questions
  • Although arguments are composed of statements
    (sentences which are capable of being true or
    false), questions are sometimes used when arguing
    with another person.
  • The answers to these questions (which themselves
    are statements) can then be used as premises.

27
Loaded Questions
  • There are certain questions that one ought to be
    aware of complex questions.
  • A complex question contains an assumption that
    any answer to the question will confirm.
  • The classic example is
  • Have you stopped beating your wife?

28
Loaded Questions
  • No matter how you answer a complex question, you
    tacitly concede the assumption. (i.e., youre
    damned if you do, damned if you dont)
  • In order to respond to complex questions, you can
    either
  • Refuse to answer the question
  • Ask that the question be rephrased without the
    assumption

29
Loaded Questions
  • Accusations can also be turned into questions.
  • Instead of accusing someone of, e.g., of
    plagiarizing, you can ask Did you plagiarize?
  • These accusative questions are particularly
    effective when the question is asked publicly.

30
False Confidence
  • Presenting a claim with confidence is a way in
    which someone may be convinced of the truth of
    that claim even if the evidence (or premises) do
    not support it with the same amount of
    confidence.
  • If a claim is presented confidently, then it may
    not be called into question by ones opponent.

31
False Confidence
  • False confidence differs from a lie in that the
    person putting forward the claim believes it.
    Liars dont believe what they say.
  • A person who is falsely confident believes the
    claim, but is lying about the confidence one
    should have in the evidence that would reasonably
    lead one to believe that claim.

32
False Confidence
  • E.g.
  • Mongolian peasants use a method of predicting the
    sex of unborn children that is accurate more than
    95 per cent of the time. On a night when there
    is a full moon, the father spits into a cup of
    the mothers urine and leaves it on the doorstep
    of their hut overnight. If the spit is still
    floating the next morning, the baby will be a boy.

33
Selectivity
  • Selectivity occurs when information that detracts
    from your conclusion is omitted from the
    argument.
  • In these cases, no lies are told, as the failure
    to include evidence contrary to your view is not
    a lie. Nevertheless, deceit occurs here.

34
Selectivity
  • This sort of deceit can be used quite effectively
    with inductive arguments.
  • Induction by confirmation can succumb to this
    fallacy quite easily.

35
Red Herring
  • To introduce a red herring is to attempt to shift
    criticism from our own argument to another topic
    that distracts from the original criticism.
  • P. 293 (text)

36
Guilt By Association
  • This argument is an analogical argument.
  • It suggests a similarity between the opponent
    (subject) and another group (analogue), and
    infers that because the analogue group has a
    particular feature, the subject must have that
    feature as well.
  • This is regarded as an irrational method because
    there is usually almost no (relevant) similarity
    between the two cases.

37
Guilt By Association
  • E.g.,
  • We should not forget that the politicians who
    gave us medicare in Canada borrowed the idea from
    the communists, who first introduced medicare in
    the 1920s.

38
Self-Test No. 21
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