Ruth Weintraub -- What Was Hume's Contribution to the Problem of Induction

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    Scots Philosophical Association

    University of St Andrews

    What Was Hume's Contribution to the Problem of Induction?Author(s): Ruth WeintraubSource: The Philosophical Quarterly, Vol. 45, No. 181 (Oct., 1995), pp. 460-470Published by: Oxford University Presson behalf of the Scots Philosophical Associationand theUniversity of St. AndrewsStable URL: http://www.jstor.org/stable/2220309.

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    The

    hilosophical

    uarterly,

    ol.

    5,

    No.

    18i October

    995

    ISSNoo3I-8o94

    WHAT WAS HUME'S CONTRIBUTION TO

    THE PROBLEM

    OF

    INDUCTION?

    BY RUTHWEINTRAUB

    I

    There are veryfewphilosophicalssueswhichare so intimatelyssociated

    with one

    single philosopher

    s is the

    problem

    of

    inductionwith Hume.

    Indeed,

    as

    Kant' terms

    t

    Hume's

    problem',

    he

    question

    broached

    n

    the

    title

    may

    sound

    somewhat

    odd.

    It is as

    if

    someone

    were

    to

    ask about

    Einstein's

    ontribution

    o

    the

    theory

    f

    relativity.

    ut

    n

    fact,

    s

    I

    shall how

    (?II),

    the

    analogy

    is not

    apt. Contrary

    o received

    opinion,

    Hume was

    neither

    he

    first

    o think nduction

    roblematic,

    or

    the

    originator

    f the

    argument

    e adduced

    in

    support

    f the

    sceptical) upposition.

    xplaining

    his

    (more modest)

    contribution

    s

    my

    next task

    (??III-IV).

    My primaryconcern,

    however,

    s not historical.

    y considering

    ume's contributiono

    the

    problem

    of

    induction,

    shall

    argue,

    we

    can come to a betterunder-

    standing

    fthis

    ecalcitrant

    roblem

    ??V-VII).

    II

    Contrary

    o

    prevalent pinion,

    Hume was

    not the

    first

    hilosopher

    o

    cast

    doubt on the form

    f

    nference

    e

    call inductive

    concluding,

    .g.,

    on the

    basis of

    past

    sunrises hat the sun rises

    every

    morning.

    n

    fact,

    Sextus

    Empiricus,

    heancientGreek

    ceptic,

    dduces an

    argument

    n

    theform f

    a

    dilemma,

    which

    purports

    o

    set

    aside

    the

    method

    f

    nduction'2:

    when

    theypropose

    to establish he universal

    rom he

    particulars y

    means of

    induction,

    hey

    willeffecthis

    by

    a

    review ither

    f all or of some of the

    particular

    instances. ut

    f

    they

    eview

    ome,

    he nduction illbe

    insecure,

    ince ome

    of

    the

    particulars

    mittedn the nduction

    ay

    ontravenehe

    universal;

    hile

    f

    hey

    re

    to

    review

    ll,

    they

    will

    be

    toiling

    t

    the

    mpossible,

    ince

    he

    particulars

    re infinite

    nd

    indefinite.

    '

    Prolegomena

    o

    ny

    uture

    etaphysics,

    rans. .G.

    Lucas

    (Manchester

    P,

    I953),

    p.

    Io.

    2

    Sextus

    Empiricus,

    Outlines

    f

    Pyrrhonism,

    rans.

    R.G.

    Bury

    (Loeb edn)

    (London:

    W.

    Heinemann,

    1933),

    .

    283.

    ?

    The Editors f The

    hilosophical

    uarterl1,

    995.

    ublished

    y

    Blackwell

    ublishers,

    08

    owley

    Road,

    Oxford

    x4 JF,

    UK,

    and

    238

    Main

    Street,

    ambridge,

    A

    2142,

    USA.

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    HUME'S

    CONTRIBUTION

    TO

    THE

    PROBLEM

    OF INDUCTION

    461

    What

    Sextus

    s

    saying

    n

    his archaic

    tyle

    an be

    couched

    n

    a

    moremodern

    terminology:

    he

    conclusion

    f an

    inductive

    rgument

    may

    be

    false even

    while

    the

    premises

    re true.

    On

    thisbasis he

    concludesthat induction

    s

    invalidated'.

    We

    see thatHume was

    not the

    first

    o

    disparage

    nduction.

    ut

    might

    he

    grounds

    he offers or so

    doing

    be novel? This

    suggestion

    ooks

    initially

    promising,

    ecause Hume's

    argument3

    s

    quite

    different

    rom

    that

    pro-

    poundedby

    Sextus:

    Concerning

    matter f fact nd

    existence

    ..

    there

    re

    no demonstrative

    rguments

    ..

    since

    t

    mplies

    o contradictionhat he ourse

    f

    nature

    may

    hange

    ..

    and

    the rees

    willflourish

    n

    December ... All

    arguments

    oncerning

    xistence

    re

    founded n the

    relation f ause and effect... Our

    knowledge

    f

    hat

    elation

    s

    derived

    ntirely

    rom

    experience... Allourexperimentalonclusionsroceed ponthe uppositionhat he

    future ill

    be

    conformableo the

    past.

    To

    endeavour, herefore,

    he

    proof

    f

    this

    ast

    supposition y

    probable arguments,

    r

    arguments egarding

    xistence,

    must

    be

    evidently oing

    n a

    circle,

    nd

    taking

    hat

    for

    granted,

    hich s the

    very

    oint

    n

    question.

    Hume's

    argument

    an

    be

    briefly

    tated.The

    justification

    f

    our

    nductive

    practice

    must be 'derived

    entirely

    rom

    xperience',

    because

    a

    deductive

    justification

    annotbe

    provided.

    But

    as an

    inductive

    ustification

    n

    this ase

    is

    clearly ircular,

    t is illicit.

    Thus Hume's

    argument gainst

    nduction s

    quite

    differentrom he dilemma

    posed

    by

    Sextus.Whereas Sextus thinks

    the

    logical

    gap

    between

    premises

    nd conclusion suffices

    o

    vitiate the

    inference,

    Hume

    explicitly

    distinguishes

    etween

    the two

    modes of

    reasoning,

    nduction nd deduction.

    nduction,

    e

    acknowledges,

    oes not

    yield

    the

    certainty

    f

    deduction,

    ut

    it

    may

    still

    be

    reasonable,

    being

    of a

    different,utonomous,

    kind:

    future

    udgement'

    must

    be

    based on

    argu-

    ments

    which are

    'probable

    nly

    ..

    according

    to

    the

    division' between

    'demonstrative

    easoning'

    nd that

    oncerning

    matter

    ffact nd

    existence'

    (p. 35,my talics). ut whenhe askswhattheustificationf nductionmight

    be,

    he

    cannotfind

    ny.

    He thendeclares t unreasonable:

    uite

    a

    different

    strategy

    rom

    hat

    dopted

    by

    Sextus.

    This

    difference etween

    Sextus and

    Hume has

    been

    missed

    by

    both

    followersnd critics

    f

    Hume,

    who

    interpret

    is

    scepticism

    bout

    induction

    as

    merely

    n

    echo of Sextus'.

    Consider,

    irst,

    ome

    sympathizers.ccording

    to

    Lipton,4

    t

    is 'the under-determination

    f

    our inferences

    y

    our

    evidence

    [which]

    provides

    the

    sceptic

    with his

    lever'.

    In

    a

    similar

    vein,

    Popper5

    3

    Enquiries

    Concerning

    uman

    Understanding,

    d. L.A.

    Selby-Bigge, 3rd

    edn

    (Oxford:

    ClarendonPress, 978),pp. 35-6.

    4P.

    Lipton,

    nference

    o

    he est

    xplanation

    London:

    Routledge,

    99I),

    p.

    22;

    my

    talics.

    5

    K.R.

    Popper,

    The

    Logic

    f

    Scientific

    iscovery,

    th

    edn

    (London:

    Hutchinson,

    972),

    p.

    27;

    original

    talics.

    ? The

    Editors f

    The

    hilosophical

    uarterlv,

    995

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    462

    RUTH

    WEINTRAUB

    suggests

    hat

    any

    conclusion rawn

    n

    this

    inductive]

    ay may always

    urn

    out to be false:

    no

    matter

    ow

    many

    nstances f

    white wanswe

    may

    have

    observed,

    his oes not

    ustify

    he

    conclusion hat ll swans

    re white'.

    Now to some ofHume's criticswhoimputehis nductivecepticismoan

    assessment f nduction

    y

    reference

    o

    deductive

    tandards. hus Edwards6

    claims that

    Hume

    ...

    means

    by

    reason

    a

    logically

    onclusiveeason and

    by

    evidence

    deductively

    onclusive

    vidence'. He

    goes

    on to

    suggest

    hat a

    differenttandard must be

    used when

    assessing

    empirical

    predictions:

    ' reason is not used

    in

    this sense

    when,

    in

    science or

    in

    ordinary

    ife,

    people

    claim

    to have

    a

    reason for

    prediction'.

    hus

    Edwards concludes

    that

    Hume's inductive

    cepticism

    s

    ll

    founded.

    In

    the same

    way,

    Strawson7

    oints

    o the

    absurdity

    f

    the demand

    that

    induction hall be shown to be really kind ofdeduction'.And Hume's

    scepticism,

    e

    claims,

    wrongly

    ssumes

    hat

    hedemand s

    a

    reasonable

    ne.

    The criticism ffered

    y

    Edwards

    nd

    Strawson

    s

    appropriate

    f

    directed

    against

    extus.

    For

    he does

    rest ontent

    with

    pointing

    ut that

    some

    of

    the

    particulars

    mitted

    n

    the nduction

    may

    contravene

    he

    universal',

    n

    effect

    complaining

    hat

    nduction

    s not

    deduction.

    But

    Hume,

    we have

    seen,

    has

    quite

    a

    differenteasonfor

    eing

    ceptical

    bout

    nduction.

    So have we discovered

    Hume's

    contributiono

    the

    problem

    of

    induc-

    tion'?

    f

    he

    was

    not the first

    o cast

    doubt

    on

    induction,

    id he

    at least

    provide

    new

    grounds

    or o

    doing?

    The

    answer,

    shallnow

    argue,

    s a firm

    'No'.

    Let

    us recall Hume's

    argument gainst

    nduction.

    nduction,

    e

    claims,

    cannot be

    justified

    eductively,

    nd

    the

    attempt

    o

    ustify

    t

    inductively

    s

    circular,

    nd therefore

    mproper.

    But,

    as we shall

    see,

    this

    argument

    s

    nothing

    therthan

    a

    special

    case

    of

    the ancient

    problem

    of

    the

    criterion,

    again

    due to Sextus.

    In order to

    decide

    between

    opposing

    appearances,

    Sextus

    argues,8

    we

    need a criterion f truth.But we need, first,o decide betweendifferent

    criteria,

    nd this choice must either

    be

    based on

    yet

    another

    criterion,

    engendering

    vicious

    egress,

    r on thesame

    criterion,

    esulting

    n

    a

    vicious

    circularity:

    Those

    who claimfor hemselveso

    udge

    the

    ruthre bound o

    possess

    criterion

    f

    truth.

    his

    criterion,hen,

    ithers without

    judge's approval

    r

    has been

    approved.

    But

    f

    t s without

    pproval,

    whence

    omes

    t that t s

    trustworthy?

    or

    no

    matter

    f

    dispute

    s

    to be trusted

    ithout

    udging.

    And

    if

    t has been

    approved,

    hatwhich

    6

    P.

    Edwards,

    Russell's Doubts

    about

    Induction',

    Mind,

    68

    (I949),

    pp.

    14I-63

    at p.

    I5I;

    originaltalics.

    7

    P.F.

    Strawson,

    ntroduction

    o

    Logical

    heory

    London:

    Methuen,

    952),

    p.

    250.

    8Sextus

    Empiricus,

    Against

    he

    Logicians,

    rans.

    R.G.

    Bury (Loeb

    edn) (London:

    W.

    Heinemann,

    1935),

    .

    179.

    ?

    The Editors

    f The

    hilosophical

    uarter)lr,

    995

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    HUME'S

    CONTRIBUTION

    TO

    THE

    PROBLEM

    OF

    INDUCTION

    463

    approves

    t,

    n

    turn,

    ither as

    been

    approved

    r has notbeen

    approved,

    nd so on ad

    infinitum.

    This

    is

    precisely

    he

    strategy

    ume invokes

    gainst

    nduction:

    t

    cannot

    be justified, ecause the purported ustification,eing itselfnductive,s

    circular.

    Hume,

    admittedly,

    oes

    not

    appeal

    to the existence f

    controversy

    about

    induction,

    whereas

    Sextus,

    both

    in

    formulating

    he

    criterion

    rgu-

    ment,

    nd

    in

    attempting

    o

    undermine

    he

    syllogism irectly,

    eems

    to

    rely

    on

    rife

    isagreement

    bout

    the

    criterion f

    validity:

    we have

    no

    agreed

    est

    ..

    whereby

    o

    judge

    whether he conclusion

    follows

    he

    logical

    connexion

    formed

    y

    the

    premises'

    OutlinesfPyrrhonism

    .

    249;

    my talics).

    ut such an

    appeal

    is

    really

    nnecessary: nproven

    onsensus

    s still

    ogmatic.

    We

    now see that

    Hume's

    argument gainst

    nduction s

    not

    original.

    o

    whatwashis contribution?

    III

    As

    a

    first

    tep

    to

    answering

    he above

    question,

    ote

    that

    he

    problem

    f

    the

    criterion

    s

    perfectly

    eneral:

    t

    applies

    to

    deduction,

    s well

    as induction.

    For how

    is deduction o be

    justified?

    ow

    do we

    know,

    for

    nstance,

    hat

    modus

    onens

    s a

    truth-preserving

    uleof

    nference?

    f n

    the

    soundness

    roof

    forthe propositional alculus we invoke modusonens,he ustifications

    circular,

    nd

    if

    we

    use

    some other

    ule,

    how is this ne

    to be

    ustified?

    f

    by

    reference o modus

    onens,

    he

    ustification

    ill,

    again,

    be

    circular;

    f

    by

    reference

    o

    yet

    nother

    ule,

    we

    shallhave

    embarked

    pon

    a

    regress

    which

    must e

    either nfiniter

    circular,

    nd

    in

    both ases must e

    improper.

    Hume

    does

    not

    present

    he criterion

    rgument

    gainst

    deduction.The

    arguments

    e does dduce

    against

    t9

    are

    quite

    different.

    e

    suggests,

    or

    instance,

    hat

    if

    any

    single

    ddition

    were

    certain,

    very

    ne

    wou'd be

    so,

    and

    consequently

    he whole or

    total

    um;

    unless he whole

    can be different

    from ll its

    parts'

    Treatise

    .

    I8I).

    Since

    long

    sums re not

    certain,

    ven the

    simplest

    um

    ('I

    +

    I

    =

    2')

    must be

    (to

    some

    degree)

    doubtful.

    In

    fact,

    ne is inclined o

    feel

    that

    Hume's

    scepticism

    bout deduction s

    half-hearted.

    t

    is

    not

    presented

    n

    the

    Enquiries,

    he work

    Hume 'desires ..

    may

    alone be

    regarded

    as

    containing

    his

    philosophical

    entiments nd

    principles'Enquiries,dvertisement).

    Why

    does Hume refrain

    rom

    nvoking

    he criterion

    rgument gainst

    deduction?The

    only

    rational

    reconstructions

    that

    he

    simply

    does not

    believe the criterion rguments cogent n general: t may be deployed

    9

    A

    Treatise

    f

    Human

    ature,

    d.

    L.A.

    Selby-Bigge,

    nd edn

    Oxford:

    Clarendon

    Press,

    975),

    I

    iv

    I.

    ? The Editors f

    The

    hilosophical

    uarterl,,

    995

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    464

    RUTH

    WEINTRAUB

    against

    nduction,

    e

    thinks,

    ut not

    against

    deduction.

    et us

    elaborate

    little.

    When

    we think f the

    ustification

    f a form f

    nference,

    here

    re

    three

    possibilitieso be considered.First, mode of inference an be basic

    justified,

    ut not

    by

    reference

    o another.

    econd,

    ts

    ustification

    ight

    e

    mediate.

    hird,

    t

    may

    be

    unjustified.

    y ruling

    ut the first wo

    possibilities

    with

    respect

    o

    induction,

    ume

    opts

    for he third

    ossibility,

    he

    sceptical

    one. Induction s not basic. Neither an it

    be

    justified

    nferentially.

    his is

    because

    t

    has no deductive

    ustification,

    hereas

    n

    inductive

    ustification

    s

    circular,

    nd thereforellicit.

    Even

    in

    the case of

    deduction,

    Hume cannot

    countenance he second

    option.

    A

    circular

    ustification

    s never

    dmissible:

    The same

    principle

    annot

    be both the cause and effect f another' Treatise . 90). An inductive

    justification

    s also

    impossible,

    ince nduction

    tself,

    ume

    thinks,

    annot' e

    justified.

    But since Hume

    does

    not

    adopt

    a

    sceptical

    stance towards

    deduction,

    we must onclude

    by

    elimination

    hat,

    or

    him,

    ts

    ustification

    s

    basic

    in

    his

    word,

    intuitive').

    We now have the answer o the

    questionposed

    in

    the

    title

    f this

    paper:

    Hume's contribution

    o

    the

    problem

    f nduction

    as not theformulationf

    an

    argument gainst

    t,

    but the

    adoption

    of

    a

    novel stance towards

    n

    existing

    rgument.

    Whereas

    Sextus,

    who

    originated

    he

    problem

    of

    the

    criterion,ook tsforce o be

    quite

    general,

    Hume

    (implicitly)

    laimed hat t

    could

    be

    wielded

    against

    nduction,

    ut not

    against

    deduction.

    Even

    our

    terminology

    s due to

    Sextus,

    not to Hume. Whereas Hume uses the terms

    'experimental'

    nd 'causal'

    in

    discussing

    on-deductive

    nferences,

    extus

    uses theGreek

    erm

    epagoge',

    .e.,

    induction'.)

    IV

    We can nowutilize ur

    improved

    nderstanding

    f Hume's contributiono

    the

    problem

    of induction o

    shed

    light

    on

    the

    (perplexing)

    roblem

    tself.

    Hume has

    strongly

    ffected ur

    thoughts

    bout induction. t is not

    his

    inductive

    cepticism

    which has

    left the

    strongest

    mark:

    there

    are

    many

    philosophers

    who think our belief

    in

    tomorrow's unrise

    s

    warranted.

    Hume's most nfluential

    egacy

    s the

    supposition

    hat

    the

    ustification

    f

    inductions not

    analogous

    o

    that

    f

    deduction.

    Bonjour?1

    s

    puzzled

    as to how a

    basic

    empirical

    elief is able to confer

    justificationn other eliefs.. in pitefbeinzgmpirical... How can a contingent,

    empirical

    elief

    mpart

    pistemic

    motion

    o other

    mpirical

    eliefs nless

    t

    '0L.

    Bonjour,

    The tructure

    f

    mpiricalnowledge

    Harvard

    UP,

    1985),

    p.

    30;

    my

    talics.

    ?

    The Editors f T7he

    hilosophical

    tarterly,

    995

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    HUME'S

    CONTRIBUTION TO

    THE

    PROBLEM

    OF INDUCTION

    465

    is itself

    n

    motion ?

    Or,

    even more

    paradoxically,

    ow can such a

    belief

    epistemically

    move

    itself?)'.

    e seems to confine

    he

    paradox

    of

    epistem-

    ological

    self-moved overs

    o

    empirical

    eliefs:

    ogical

    truths

    nd inference

    rules, e assumes, vade it.

    The same

    predilection

    ordeduction

    s

    manifested

    y

    Popper.

    Since

    he

    thinks

    nduction

    annot

    be

    justified,

    e must

    expunge

    nductive

    easoning

    from cience. Thus

    Popper

    attempts

    o show that science

    proceedsby

    the

    rigorous esting

    f

    hypotheses

    nd the

    rejection

    f

    those

    that

    are

    refuted.

    This

    procedure

    f

    conjecture

    nd

    refutation,

    e

    claims,

    s

    purely

    eductive.

    Of

    course,

    Popper's

    deductivismmakes

    ense

    only

    f

    based on the

    presump-

    tion hat

    deduction,

    nlike

    nduction,

    s

    ustified.

    Reichenbach shares

    Popper's implicit

    aith

    n

    deduction,

    ut not his

    inductive cepticism.He thinks nductioncan be justified, nd can be

    justified eductively.

    eichenbach thinks

    e can

    show that

    f

    anypredictive

    method

    will

    succeed,

    nductionwill succeed too.

    If

    nature s

    uniform,

    e

    argues,

    nduction

    will

    enable

    us

    to make veridical

    redictions

    n

    thebasis

    of

    our observations.

    f,

    on the other

    hand,

    nature

    s

    not

    uniform,

    o method

    will ucceed.Thus he

    concludes

    hat nduction

    s

    thebest

    predictive

    method,

    although

    t

    may

    be

    quite

    poor,

    being

    dependent

    n

    nature's

    uspiciousness.

    This

    is a modestdefence f

    nduction,

    ecause

    it

    does not aim to show that

    induction

    must

    ucceed,

    nor,

    indeed,

    that it does

    in

    fact

    succeed. But

    although

    ts conclusion s

    modest,

    Reichenbach

    purports

    o establish t

    deductively.

    o here

    we

    encounter

    gain

    the

    presupposition

    hatdeduction

    s

    justified;

    there would otherwise

    be

    no

    point

    in

    grounding

    nduction

    deductively.

    We see that

    Bonjour, Popper

    and Reichenbach share a

    discriminating

    assumption,

    lbeitunstated:whereas nductionwill

    only

    be

    vindicated

    when

    a

    deductive

    ustification

    or

    t

    is

    given,

    deduction

    can

    eitherbe

    given

    a

    circular

    ustification

    r

    -

    being

    basic

    -

    needs none.

    V

    Should

    we

    accept

    Hume's

    assumption

    hat

    deduction

    s

    epistemologically

    privileged?

    n

    this section

    arguments gainst

    the

    assumption

    will

    be

    considered.

    rguments

    or t

    will

    be examined

    n

    thenext.

    If

    Goodman's account of the

    ustification

    f induction

    nd

    deduction

    s

    correct,

    hen

    the

    two forms f nference

    re

    on

    an

    epistemological ar.

    We

    are ustifiedn ourpredictions, oodmanargues,because they onform o

    our inductive

    ractice.

    This

    is

    analogous

    to

    the

    way

    we

    justify

    deductive

    H.

    Reichenbach,

    The

    Theory

    f

    robabilityUniv.

    ofCalifornia

    ress,

    1949).

    ? The

    Editors f The

    hilosophiual

    uarterly,

    995

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    466

    RUTH WEINTRAUB

    inference:

    we show that

    it

    'conform[s]

    o the rules of

    logical

    inference'.

    These

    rules,

    in

    turn,

    are

    justified

    by

    their

    conformity

    ith

    accepted

    deductive

    ractice'.'2

    Whenitcomesto thereliabiliyf the modes of nference, oodmansays

    nothing

    bout deduction.

    ut n

    the case of

    nduction,

    e

    claims,

    we

    do not

    'know hat

    our]

    predictions

    ill urn ut to be correct'

    p.

    62),

    nor

    even

    that

    they

    will

    turn

    out

    to

    be correctmore often

    han

    random

    guesses.

    This,

    I

    shall

    rgue,

    s

    a fatal oncession o the

    ceptic.

    t

    vitiates

    oodman's

    defence

    of induction

    and,

    correlatively,

    is

    attempt

    to

    place

    it

    on the same

    (epistemological)ooting

    s

    deduction.

    When

    we

    reflect bout

    ustification,

    e realizethat

    t

    s not

    valued for ts

    own sake. We wish

    our

    beliefs o be

    true,

    nd

    the outcomes f actions

    hey

    guideto be successful.erhaps he ceptic annotbepersuadedhat nduction

    is truth-conducive

    nd

    practically

    seful,

    ather

    han mere

    onvention,

    ut

    we

    believe

    that t is. We take t that

    nductively

    erivedbeliefs re at least

    more

    ikely

    o be truethan

    randomly

    hosen ones. Our inductive

    ractice

    would otherwise e

    arbitrary,

    nd

    rightly

    enigrated y

    the

    sceptic.

    f

    it is

    notknown

    nor

    even

    reasonably hought)

    o

    be

    morereliable han

    ny

    other

    predictive

    method,

    f

    what

    significance

    s its

    justification'?

    nd

    why

    hould

    itbe

    adopted?

    Similar

    considerations

    ill

    undermine trawson's

    ttempt

    o show that

    the

    ustification

    f induction s

    analogous

    to that of

    deduction.

    He claims

    that

    the

    only

    standardwe can invoke

    n

    assessing

    nduction s

    induction

    itself. To

    call

    a

    particular

    belief

    reasonable',

    Strawson claims

    (p. 249),

    'is

    to

    apply

    nductive

    tandards,

    ust

    as to call

    a

    particular rgument

    alid

    .. is to

    apply

    deductive tandards'.

    Placing

    relianceon inductive

    rocedures

    ..

    is

    what

    being

    reasonable means'

    (p.

    257, original italics).

    'Induction is

    rational',

    hen, s

    according

    o

    Strawson

    n

    analytic

    tatement.

    Strawson's ccount

    of deductive

    alidity

    s

    inadequate.

    The term valid'

    whenapplied to arguments oes not mean 'conformingo our deductive

    practice';

    t

    means

    (as

    every

    tudent f

    logic

    is

    taught)

    truth-preserving'.

    And even

    f

    we do not

    dentify

    truth-preserving'

    ith

    valid',

    the

    mportant

    question

    to

    settle when we

    attempt

    o assess our deductive

    practice

    s

    whether r

    not

    our

    inference ules are

    truth-preserving.

    n

    affirmative

    response

    o this rucial

    question ertainly

    oes not

    follow

    rom heir

    eing

    ours.

    imilarly,

    he

    pertinent

    uestion oncerning

    nduction

    s whether

    t is

    sufficiently

    ften

    ruth-preserving.

    t is the answer o this

    uestion

    hat

    guides

    us

    in

    deciding

    whether r not to

    reason

    nductively,

    iven

    thatour aim is

    truth,

    rather han ocialconformity.

    12

    N.

    Goodman,

    Fact,

    ictionnd

    Forecast,

    rd

    edn

    (New

    York:

    Bobbs-Merrill,

    973),

    .

    63.

    ?

    The

    Editors l' he

    lllosophical

    uarteily,

    995

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    HUME'S CONTRIBUTION TO

    THE

    PROBLEM OF

    INDUCTION

    467

    The

    point

    can

    be reinforced

    y considering

    he

    analogy

    Strawson

    raws

    between

    nduction

    nd the aw. It

    makes

    no

    sense',

    he

    claims,

    to

    inquire

    n

    general

    whether

    .. the

    egal

    system

    s

    a

    whole,

    s or

    is

    not

    egal.

    For to what

    legalstandards re we appealing?' p. 257).Analogously, e argues, heonly

    standard

    by

    which nduction

    an

    be assessed

    s

    the

    one set

    by

    induction

    itself,

    nd

    relative o

    which

    t

    s

    trivially

    ustified.

    Strawson's

    nalogy

    misfires.

    rue,

    there re

    no

    standards

    y

    which to

    judge

    the law

    illegal.

    ut

    in

    setting

    p

    a

    legal

    system

    we have aims

    -

    the

    promotion

    f

    ustice,public

    order,

    tc.

    And its

    egality

    otwithstanding,

    legal system

    an

    be assessed

    with

    respect

    o

    these,

    nd

    foundmore or

    less

    appropriate.

    or

    instance,

    system ncorporating

    law

    disenfranchising

    women

    is

    legal,

    but

    unfair.

    ubstituteinduction'

    or

    the

    law',

    'truth'

    or

    'justice',and see how Strawson'sdefenceof induction and deduction)

    collapses.

    Like Goodman and

    Strawson,

    ummett'3 oes

    not

    give

    epistemological

    priority

    o

    either

    form of inference.He does see

    important

    ifferences

    between

    nduction

    nd

    deduction,

    ut

    these,

    he

    thinks,

    ancel

    one

    another

    out,

    so to

    speak.

    He

    claims

    first hat circular

    ustification

    s,

    in

    principle,

    acceptable

    n

    the case of

    nduction.

    Not

    so

    in

    the

    case

    of

    deduction,

    where

    our

    only

    candidate

    for a circular

    ustification

    a soundness

    proof

    for

    a

    deductive

    ystem

    is

    question-begging,roviding,

    t

    best,

    n

    explanation

    f

    deduction's

    ole

    n

    our

    anguage.

    The second

    difference

    etween he two forms f

    nference,

    ccording

    o

    Dummett,

    s that or

    nduction,

    nlike

    eduction,

    o

    candidate

    or

    circular

    justification

    ven

    exists. he differences

    ancel

    one

    another

    ut,

    we

    can

    now

    see: no

    (proper)

    ircular

    ustification

    an be

    given

    ither or

    nduction r for

    deduction.

    Unfortunately,

    ummett's

    interesting)

    osition

    s

    unargued

    or. t is not

    clear

    why

    one shouldbe

    persuadedby

    the

    argument gainst

    he

    egitimacy

    of a circularustificationfdeduction,whileholdingthat in the case of

    induction,

    e

    appear

    to have

    a

    quite

    unconvincingrgument

    hat here ould

    not

    in

    principle

    e

    a

    [circular]

    ustification'

    ibid.;

    my

    italics).

    The

    second

    asymmetry

    ited

    by

    Dummett that there

    s a

    candidate

    for

    a

    circular

    justification

    f

    deduction

    a

    soundness

    roof)

    nd

    none for

    nduction

    is not

    only unsupported,

    t is

    downright

    uzzling:

    why

    does

    induction's

    past

    successnotcount?

    13

    M.

    Dummett,

    The

    Justification

    f-Deduction',

    n

    Truth

    nd

    Other

    nigmas

    London:

    Duckworth,

    978),

    .

    295.

    ? The Editors

    f The

    hilosophical

    uartei)ly,

    995

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    468

    RUTH WEINTRAUB

    VI

    We have considered

    rguments

    which

    purport

    o establish he

    symmetry

    between

    nduction nd deduction.

    No one

    gives

    priority

    o

    induction,

    o it

    remains o consider

    rguments

    n

    support

    f the

    supposition

    hat

    deduction

    is

    epistemologically

    rivileged,

    hat

    deductive

    rules of inference

    an be

    circularly

    ustified

    r need no

    justification

    t

    all,

    whereas nductive

    nes

    must

    e

    non-circularlyustified.

    First,

    s there

    any

    reason for

    allowing

    circular

    ustification

    nly

    for

    deduction? o defend

    he

    very ossibility

    f

    circular

    ustification,

    ne

    might

    point

    out

    that,

    nitial

    ppearancesnotwithstanding,

    uch

    ustification

    s not

    necessarily

    rivial.

    Whereas we

    can

    always justify'

    proposition

    f

    we can

    invoke

    t,

    hings

    re

    quite

    differenthen the

    ustification

    f

    an

    inference

    ules

    at stake.

    f

    to

    ustify

    rule

    governing

    elief-formation

    s to show

    that ts

    application

    s

    (sufficiently)

    ruth-conducive,

    hen we

    may

    not

    succeed

    in

    justifying

    rule

    even

    f

    we are allowed to use

    it. Consider he

    rule thatone

    should

    believethe

    horoscope.

    uccess

    n

    a reflexive

    ustification

    f

    thisrule

    is

    certainly

    not

    guaranteed:

    the

    horoscope

    may

    tell

    us that

    horoscope

    predictions

    re

    very

    nreliable.

    Similarly,t is quite possiblethat the history f the scientific ethod'

    would show t to have been

    unreliable,

    r ess reliable

    han ome alternative.

    Indeed,

    the

    sceptic

    ttempts

    o invokethe scientific ethod

    against

    tself,

    pointing

    out

    that

    past

    scientific heories have

    all

    been

    falsified. his

    'pessimistic

    eta-induction'14

    an

    be said

    to

    support

    he conclusion

    hat ur

    current heories

    re also

    likely

    o be false.

    The

    sceptical

    rgument

    an

    be rebutted.

    he

    history

    f science

    does,

    indeed,

    upport

    he conclusion hatour

    present

    cientificheories

    re

    likely

    to be

    false.

    But the

    sting

    s

    (at

    east

    partly)

    aken ut of this onclusion

    when

    we go on topointout that hehistoryf science lso suggestshat cience s

    progressive,

    hat our theories

    re,

    although

    false,

    loser to the

    truth,

    etter

    predictively

    nd more

    explanatory

    han their

    redecessors.

    he

    important

    point,

    f

    course,

    s that

    n

    attempting

    o

    provide

    reflexive

    ustification

    e

    are

    taking genuine

    risk. The

    application

    of the 'scientific

    method' to

    adjudicate

    tsown

    adequacy

    could have

    yielded

    n adverse erdict.

    If

    we are

    persuaded

    that nference ules can

    in

    principle

    e

    circularly

    justified,

    e

    might

    akededuction o be

    ustified

    y

    ts oundness

    roof.

    But

    then,

    we should also allow

    a

    reflexive

    ustification

    f induction.

    shall

    denoteby ND thefollowingule:

    14

    See

    H.

    Putnam,

    Meaning

    nd theMoral Sciences

    London:

    Routledge

    and

    Kegan

    Paul,

    1978),

    p.

    25.

    ?

    The Editors f The

    hdlosophical

    uarterly',

    995

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    470

    RUTH

    WEINTRAUB

    induction,

    we

    must decide whether

    r not

    deduction

    s

    epistemologically

    prior

    o nduction.

    Qualms

    about nduction re more

    ppealing

    sychologically.

    ut how

    much

    weight rewe togivethisfact?Might t not be a merebias? When we tried

    to

    find

    warrant or

    discriminating

    etween nduction nd

    deduction,

    we

    failed: he

    arguments

    e

    considered or he

    asymmetry

    ere

    found

    wanting.

    We are

    leftwith

    n

    open question.

    Hume

    may

    have discerned

    n

    important

    asymmetry

    hich Sextus missed.

    But

    if,

    contra

    ume,

    the

    two forms

    f

    inference re on an

    epistemological ar,

    his

    deflecting

    ur attention rom

    the

    criterion

    rgument

    n

    its

    ull

    generality

    s

    retrograde.

    or

    if

    there

    s

    no

    asymmetry,

    ither

    oth nduction nd deduction uccumb o

    the

    argument,

    or

    both

    evade t

    n

    the same

    way.

    And

    n either

    ase

    there

    s no such

    thing

    s

    'the problem of induction', nothing distinctivelyerplexing about

    'experimentaleasoning'.16

    TelAviv

    niversity

    16

    I am

    indebted o Amnon Levav

    forhis

    very

    seful

    omments

    nd

    suggestions.

    ?

    The

    Editors

    f

    The

    hilosophical

    uarterll,

    995