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  • 8/9/2019 Vivarium - Vol Xlvii, No. 1, 2009

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    /';-=09 )(8*

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    VIVARIUM

    An nternational

    ournal

    or

    he

    Philosophy

    nd Intellectual

    Life

    f

    he

    Middle

    Ages nd Renaissance

    Aims

    Scope

    Vivariums an international

    ournal

    edicated o the

    history

    f

    philosophy

    nd

    the

    history

    f

    deas

    from

    he

    arly

    Middle

    Ages

    o

    the

    arly-modern

    eriod.

    t

    takes

    particular

    nterest

    n

    the

    profane

    ide f

    philosohy

    nd ts

    elationship

    ith

    other reas f

    thought

    nd

    earning

    rom

    hese

    eriods.

    t is

    widely

    ecognized

    as

    an

    unrivalled

    esource

    or he

    history

    f

    ogic,

    emantics

    nd

    metaphysics.

    t

    publishes hilosophical

    nalyses

    s well s

    historicaltudies f

    deas,

    exts

    nd

    the nstitutionalontext fmedievalndearly-modernhoughtnd earning.t

    also welcomes ditions f texts.t

    publishesnnually

    special

    ssuedevoted o

    a

    particular

    heme r

    philosopher.

    Editor

    L.W. Nauta

    Groningen)

    EditorialBoard

    L.M. de

    Rijk

    Leiden),

    AG.

    Braakhuis

    Nijmegen),

    .H.

    Kneepkens

    Groningen),

    W.J.

    ourtenay

    Madison),

    .P. Bos

    (Leiden)

    nd

    D.

    Perler

    Berlin).

    Advisory ommittee

    T.

    Gregory

    Rome),

    .

    Zimmermann

    Cologne),

    .E.

    Murdoch

    Cambridge,

    A).

    InstructionsorAuthors

    Contributionso the

    ournal

    hould e sent s an e-mail

    ttachmentnd

    paper

    version o

    Lodi

    Nauta,

    Faculty

    f

    Philosophy,niversity

    f

    Groningen,

    ude

    Boteringestraat

    2,

    9712

    GL

    Groningen,

    ie

    Netherlands

    [email protected]).

    style

    heet s availablet

    www.brill.nl/vivrcanbe

    obtained

    rom he

    ditor.

    Contributionsust e written

    n

    English

    UK

    or

    US),

    Frenchr

    German;

    hey

    must e

    grammatically

    nd

    tylistically

    orrect.

    anuscripts

    ust e

    clearly

    ype-

    written ith umberedages, ouble pacingndwidemarginshroughout.se

    footnotes,

    ot ndnotes.itle ndname f

    he uthorhould

    ppear

    n a

    separate

    title

    age

    n

    order o facilitate

    nonymous

    eer-review.

    ach article houldbe

    accompanied

    y

    10-line

    bstract,

    hich hould tate he

    principal

    onclusions

    of he

    aper

    nd

    2-6

    keywords,

    or

    ndexingurposes;

    oth bstractnd

    keywords

    should

    e

    n

    English.

    Authors f

    accepted

    ontributionseceive ne setof

    proofs

    or

    roofreading.

    The

    publisher

    eserveshe

    right

    o

    charge

    uthors or orrections

    adeto the

    proofs

    ther han

    orrections

    f

    rrorshat

    ccurred

    n

    the

    ypesetting

    rconver-

    sion

    process.

    Authorseceive

    complimentaryopy

    f he ssue

    n

    which heirrticle

    ppears

    (in

    the ase ofmulti-authoredontributions,

    opies

    re ent othefirst-named

    author)

    s

    well s

    a PDF

    file f heir

    ontribution

    or

    rivate

    irculation.

    Vivarium

    print

    SSN

    0042-7543,

    nlineSSN

    1568-5349)

    s

    published

    times

    year

    by

    Brill,

    lantijnstraat

    ,

    2321

    JC

    Leiden,

    he

    Netherlands,

    el

    31

    0)71

    5353500,

    fax

    31

    (0)71

    5317532.

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    BRILL

    LEIDEN

    BOSTON

    2009

    by

    Koninklijke

    rill

    V,Leiden,

    he

    Netherlands

    Koninklijke

    rill

    V

    incorporates

    he

    mprints

    RILL,

    Hotei

    ublishing,

    IDC Publishers,rtiusijhoffublishersndVSP.

    All

    ights

    eserved.

    o

    part

    f

    his

    ublicationay

    e

    reproduced,

    ranslated,

    tored

    in

    retrieval

    ystem,

    r

    ransmitted

    n

    ny

    ormr

    by ny

    means,

    lectronic,

    mechanical,

    hotocopying,

    ecording

    r

    therwise,

    ithout

    rior

    ritten

    permission

    f he

    ublisher.

    Authorizationo

    photocopy

    temsor

    nternalr

    personal

    use s

    granted

    y

    he

    ublisherrovided

    hat

    the

    ppropriate

    ees

    re

    aid irectly

    o

    Copyright

    Clearance

    enter,

    22

    Rosewood

    rive,

    uite

    10,

    Danvers,

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    01923,

    SA.Fees re

    ubject

    o

    hange.

    Printed

    n

    heNetherlands

    on

    cid-free

    aper).

  • 8/9/2019 Vivarium - Vol Xlvii, No. 1, 2009

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    i}

    u%*

    BRILL

    VIVA

    RIUM

    Vivarium

    7

    2009)

    -23

    www.brill.nl/viv

    Robert Grosseteste's Conclusiones

    and

    the

    Commentary

    on the Posterior

    Analytics1

    David

    Bloch

    UniversityfCopenhagen

    Abstract

    This rticlexamineshe

    nature

    f

    Robert rosseteste

    commentary

    n

    Aristotle

    Posterior

    nalytics

    ith

    articular

    eferenceo his

    conclusionsconclusiones

    .

    It is

    argued

    using

    ook

    1,

    chapter

    ,

    of he

    ommentary

    s a

    case

    tudy)

    hat he

    imple

    demonstrative

    ppearance

    f he

    ommentary,

    hichs

    very

    much he esultf he 4

    conclusions,

    s

    n

    part

    n

    llusion.

    hus,

    he

    xposition

    n

    the

    ommentary

    s not im-

    ply ased n the trictrinciplesf he osteriornalyticsnd n the roof-procedures

    of

    Euclidean

    eometry;

    atherhe

    ommentary

    s a

    complicated

    ixturefdifferent

    elements

    f

    welfth-century

    exts

    nd he

    cholarship

    f

    Grosseteste

    day.

    Keywords

    Robert

    rosseteste,ristode,

    osterior

    nalytics,

    edieval

    ogic,

    emonstrativecience

    I.

    Introduction

    Robert rossetestecommentaryn thePosteriornalyticss a somewhatdio-

    syncratic

    iece

    of work.2t

    is,

    of

    course,

    literal

    ommentary,

    ut there s a

    long

    way

    to the

    more

    regular

    ype

    f the

    thirteenth

    entury.

    n

    a

    relatively

    recent

    rticle,

    ten Ebbesen even

    used the

    heading

    Literal

    Commentary

    without

    rinciples

    o

    describe his

    particular ommentary,

    eaning

    hat

    Grossetesteoes nothave

    standard

    rocedure

    n

    the ndividual

    hapters,

    ut

    1}

    Textsre

    ited romoth

    rinted

    ditions

    nd

    medieval

    anuscripts

    n

    the

    resent

    rticle.

    However,haveometimesadehangesn rthographynd/orunctuation.ll ranslations

    are

    my

    wn. owe

    hankso ten bbesen

    nd he ditorial

    oard

    f

    Vivariumor

    omments

    and riticism.

    2)

    Robertus

    rosseteste,

    ommentarius

    n Posteriorum

    nalyticorum

    ibros

    ed. Pietro ossi

    (Firenze981).

    Koninklijke

    rill

    V,

    eiden,

    009

    DOI:

    0.1

    63/156853408X383015

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    2

    D. BlochVivarium

    7

    2009)

    -23

    ratherllowshimselfocomment,xplain, efine,onclude tc. ntheorder

    he seesfit.3

    n

    this

    rticle shall xamine

    he

    ommentary

    nd

    try

    o

    establish

    its

    naturemore

    recisely.

    n

    particular,

    shall

    focus ttentionn

    the onclusio-

    nes s relevanto this

    urpose.

    At first

    eading

    he

    ommentary

    eems o be

    composed

    n strict

    nd sound

    methodologicalrinciples.

    rosseteste

    roceeds

    hapter

    y

    hapter

    although

    his

    divisions

    nto

    hapters

    o not

    lways

    orrespond

    ith he nes

    usednowa-

    days.

    n

    each

    chapter

    e

    interprets

    ristotle's

    ext,

    f

    course,

    ut it is

    done

    with

    heuse ofhisown

    conceptual

    ools: definitions

    herefore

    must

    e

    false.43

    he

    undesirable

    4)

    simply

    annot e

    inferred.

    William nd Alberts omments n the Socrates-Minus

    rgument

    how

    that

    hey

    ame to the ameconclusion s van

    nwagen

    oes

    n

    theDescartes-

    Minus

    Argument,

    ut

    by

    a

    differentoute.

    They

    reason:A

    and

    C

    must

    havebeendifferent

    bjects

    efore

    ,

    ince

    A is the

    numerically

    ne and whole

    and

    complete

    ocrates'

    nly

    fter

    . On their

    nalysis,

    before

    i.e.

    Socrates-

    Minus,

    ould not

    really

    e

    any

    ort f

    numerically

    ne,

    whole nd

    complete

    physical bject

    t all

    before

    because

    t

    s

    only

    fier

    that

    A

    in

    fact ecomes

    whole ndcomplete hysical bject, n itself umericallyne per eunum).AA

    This is clear from heir

    ejections

    f Parts

    a],

    [],

    and

    [y],

    which

    mply

    that

    A

    mustbe some ort f

    numerically

    ne whole nd

    complete

    before

    .

    Hence,

    like van

    Inwagen,

    hey

    would

    also claim that

    premise

    2)

    of the

    Descartes-Minus

    rgument

    s

    false,

    nd the entailment

    f the undesirable

    (4)

    of the Descartes-Minus

    rgument,

    rom

    1), (2),

    and

    (3)

    cannottake

    place.

    Hence,

    their

    rguments

    nd conclusions

    re historical orerunnersf

    Peter an

    nwagens.

    42)

    an

    nwagen,

    The octrine

    f

    Arbitrary

    ndetached

    arts',

    25-126.

    43)

    bid.,

    26.

    44)

    f. lso

    Heytesbury,

    ophismata

    f.

    47va-vb.

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    M.

    .

    Fitzgerald

    Vivarium

    7

    2009)

    4-73 69

    4. A pragmatic esolution o theModem Descartes-Minus rgument:

    Embracing

    he

    dentity

    f

    ndiscernibles,

    nd a Weak

    Antrhopic rinciple'

    Albert

    nd

    Williams

    nalysis

    ftheir ocrates-Minus

    rgument

    s

    philosophi-

    cally

    nteresting

    oday

    because

    t

    provides

    s with a

    pragmatic

    esolution

    to the

    modernDescartes-Minus

    rgument.

    t is Alberts nsistence

    n

    the

    Socrates-Minus

    rgument

    hat ocratesmustbe a man whole

    nd

    complete

    and

    numerically

    ne

    n

    himself,

    n

    particular,

    hat

    uggests pragmatic

    eso-

    lution o the

    Descartes-Minus

    rgument.

    he

    pragmatic

    esolution e has

    n

    mind s thatwe mustbe able to discernocrates o be whole nd complete

    and

    numerically

    ne

    in

    himself,

    hether

    eforeduring,

    r

    after

    t.

    Indeed,

    Leibniz'saws s

    really

    compound

    f

    an

    epistemological

    nd

    a

    metaphysical

    claimwith

    espect

    o

    physical bjects.

    As I

    see

    t,

    he

    ndiscernibilityf

    denti-

    cals s

    the

    metaphysical

    laim. t maintains:

    Necessarily,

    f

    wo

    physical

    bjects

    are

    numerically

    dentical,

    hen

    they

    have all the same

    properties

    nd are

    indiscerniblerom ne

    other,

    .e. we cannot

    iscern

    hem

    o be differentrom

    one another. he

    dentityf

    ndis er b le

    ,

    on the

    ther

    and,

    s the

    pistemo-

    logical

    laim. t

    maintains:

    Necessarily,

    f

    two

    objects

    re

    ndiscerniblerom

    one other nd have all the sameproperties,henthey renumericallyne

    physical

    bject

    becausewe cannotdiscern hemto

    be differentrom ne

    another. he

    metaphysical

    laim is

    logically

    necessary,

    ut the

    necessity

    involved

    n

    the

    pistemological

    laim s at best

    nlynaturally

    ecessary,

    iven

    the

    way

    we

    perceive

    hysical bjects.

    ndeed,

    Hans

    Reichenbach,

    hetwenti-

    eth-century

    hysicist-philosopher,

    as

    pointed

    ut theres a

    crucial

    pistemo-

    logical

    ifficulty

    nherent

    n

    the our-dimensionalist

    ccount f

    physical

    bjects.

    In

    uch

    space

    i.e.

    our-dimensional

    ne]

    ven he uman

    ody

    ould efour-dimen-

    sional,nd ts erceptualpparatusouldeveryifferent.nsteadf he wo-dimensional

    retina

    f he

    ye,

    here

    ould

    e

    three-dimensionaletina.

    hereashe isual

    xperience

    of he hird

    imension,

    he

    depth,

    s now

    chieved

    rimarilyy

    he

    ombinedffect

    of he wo

    yes

    nd s therefore

    ualitatively

    ifferentromhe

    xperience

    f he ther

    two

    imensions,

    he hree-dimensional

    xperience

    n

    four-dimensional

    pace

    ould e s

    immediatestwo-dimensional

    xperiences

    n

    ur

    hree-dimensional

    pace.

    he

    ombined

    effectf

    he wo hree-dimensional

    ictures

    n he etina

    ould

    upply

    swithhe isual

    experience

    f he our-dimensional

    pace.

    f

    we

    ry

    o

    magine

    uch

    xperience

    n

    ermsf

    our

    resent

    ensations,

    e

    hall indhatherere

    ertainimitations.he ew

    erceptual

    experience

    ewishodescribe

    ould ave ew ense

    ualities

    hat

    onot xist

    nderhe

    conditionsith hich e re amiliar.

    We an

    hereforendicate

    nlyndirectly

    i.e.

    ia

    bstractathematical

    odels]

    hat

    kind f

    erceptual

    xperiences

    ouldesult

    n

    uch

    world.45

    45)

    Hans

    Reichenbach,

    he

    hilosophyf pace

    nd

    Timetransi. aria

    eichenbach

    nd

    John

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    70

    M

    J.

    Fitzgerald

    Vivarium

    7

    2009)

    4-73

    Hence,even f a givenfour-dimensionalemporalwhole s madeup of its

    four-dimensional

    emporal arts,

    here

    s no natural

    ossibility,

    ith ur

    pres-

    ent

    perceptual

    pparatus,

    hatwe

    can see

    rdiscern

    ither hefour-dimensional

    parts,

    r

    thefour-dimensional

    hole

    o be

    in tself whole

    nd

    complete

    nd

    numerically

    ne

    space-time

    orm.

    We

    simply

    o

    not discern

    ne

    temporal

    slice

    of t

    from nother

    r

    the

    whole nd

    complete

    emporal

    worm.

    o be

    discernible

    or

    s

    simply

    means hat

    f

    our

    perceptual

    pparatus

    s function-

    ing

    normally

    nd a

    physical

    bject

    s

    directly

    resent

    o

    us,

    thenwe

    perceive

    t

    to be as

    it s so

    geometrically

    tructured.

    or

    thing

    o be

    numerically

    ne and

    whole ndcomplete hysicalbject or s s fort to bea setof patiallyoor-

    dinated

    physical

    lements

    nd

    nothing

    more.

    This means

    physical

    bjects

    arediscernable

    y

    us

    precisely

    ecause

    hey

    re

    n fact o

    three-dimensionally

    structured,

    .e.

    three imensional

    bjects

    re

    in

    themselves

    umerically

    ne

    and

    whole nd

    complete per

    e

    unum t

    erfectibilis)

    I am

    appealing

    ere o

    the

    weakform

    f

    what

    Roger

    enrose

    alls he

    4

    anthropicrinciple

    i.e.

    ... the

    universe

    e

    perceive

    bout us

    must

    be of

    such a

    nature

    s will

    produce

    nd

    accommodate

    eings

    who

    can

    perceive

    t. 46

    lthough

    realize

    he

    nthropic

    principles

    verall

    rgumentative

    alue

    may

    e of

    imited

    se,

    nevertheless,

    ased

    on thecosmicmicrowave

    ackground

    adiation rom he

    Big

    Bang

    at2.7 K

    (i.e.

    2.7

    degrees

    above

    absolute

    ero),

    our

    three-dimensional

    erceptual

    ability

    eems

    pretty

    eliable

    ndicator

    f

    thethree-dimensional

    tructure

    f

    Freund,

    ith

    ntroductory

    emarks

    y

    Rudolf

    arnap

    New

    ork,

    958),

    91.

    Prof.

    enneth

    Curry,biologist

    t

    the

    University

    fSouthern

    ississippi,

    akesssue

    ith

    eichenbachs

    account

    ere.

    n

    private

    onversation

    ith

    e,

    rof.

    urry

    as

    ointed

    ut

    if

    have

    ccurately

    understood

    is

    iew),

    hat

    lthough

    ur etinal

    tructure

    tthe issue

    evel

    f

    rganization

    s

    primarily

    wo-dimensional,

    he erve

    ndings

    t the

    ellularevel

    ave

    three-dimensional

    arrangementndwill ive s imitedhree-dimensionalerceptualbilityvenfwehad nly

    one

    ye.

    While

    his

    hree-dimensional

    isual

    bility

    s further

    nhanced

    yhaving

    wo

    yes,

    Reichenbachs

    laim

    hat

    he hree-dimensional

    nhancement

    s

    qualitatively

    ifferent

    rom

    the

    wo-dimensional

    etinal

    mage

    n he

    issue

    s

    uspect.

    or

    xample,

    t ould e

    biologically

    possible

    o

    nhance

    hree-dimensional

    ision

    y pacing

    he

    yes

    arther

    part,

    nd

    ltering

    he

    eyes

    nderlying

    etinal

    tructure.

    his

    mightive

    s

    enhanced

    hree-dimensional

    ision,

    ut

    would

    ot mount

    o

    ny qualitative

    ifference

    etween

    his

    ew isualization

    nd he

    revi-

    ous

    ne.

    oth

    ssentially

    ould

    e

    hree-dimensional

    isualization.

    oreover,

    uch

    n nhance-

    ment

    ould

    nly

    elp

    s

    n

    eeing

    istant

    bjects,

    nd

    would e

    ost or

    earbybjects,

    s s

    he

    case

    ow

    with

    ery

    mall

    bjects.

    rof.

    urry,

    owever,

    oes

    gree

    ith eichenbachs

    ain

    point,amely,hatny qualitativeifferenceetweenhree-dimensionalnd our-dimensional

    visualization

    ould

    eunlike

    nything

    nyone

    an ow

    iologically

    magine.

    46)

    Roger

    enrose,

    he

    oad

    o

    Reality:

    Complete

    uideo

    he aws

    f

    he

    niverse

    New

    ork,

    2005),

    8.6,

    57-8.

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    M.

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    4-73

    7

    1

    physical bjects n the universe t large, . at leastout to the imits f the

    observable

    niverse hich

    extends o a distance

    hat ncludes round

    1011

    galaxies,

    ontaining

    ome

    1 80

    aryons. 47

    e

    simply

    o

    not

    directlyerceive

    four-dimensional

    hysical bjects

    s whole

    nd

    complete

    nd

    numerically

    one. The

    perduran

    ist ccount

    f

    physical bjects

    s that hree-dimensional

    physical bjects,

    ike

    Socrates,

    re

    really

    ncompleteour-dimensional

    hysical

    objects

    These atter re

    only

    whole nd

    complete

    nd

    numerically

    ne when

    theirmaterial

    emporal

    worms

    aper

    ut

    of

    existence,

    .e. death

    n

    the ase

    of

    organisms. pistemologically,

    hey

    re

    only

    indirectly

    ccessible

    o

    us,

    namely,ia mathematical odels.But,discerninghree-dimensionalhysical

    objects

    s

    numerically

    ne and

    whole nd

    complete

    ver ifferent

    imes,

    eems

    to be

    an

    evolved

    ragmatic

    atural

    apacity

    fhuman

    eings

    hathas survival

    valuefor hem.Human

    beings

    eemto haveevolved

    ia natural election o

    be able to discern

    three-dimensionalhole nd

    complete

    nd

    numerically

    one

    enduring

    ion,

    ay,

    s a threat o their

    urvival,

    uthavenotevolved o

    as

    to discern

    a

    perduring

    our-dimensional

    ion

    space-time

    orm o be such

    a threat. o

    great

    urvival

    dvantage

    as been conferred

    n us as

    surviving

    organismso discern four-dimensionalerduringion,

    but

    there

    oes

    seem

    to be

    a

    survival

    dvantage

    onferredn us to discern

    three-dimensionalne.

    Four-dimensional

    survivalalue would

    have

    o

    be cashed

    n

    by

    the

    perdu-

    rantists our

    ability

    o

    conjoin

    ll the

    temporal

    lices f

    the

    ion,

    perceive

    that

    onjunction,

    ndthen ake

    light

    tthat

    onjunction,

    hich s no

    mprove-

    ment n

    perceiving

    he hree-dimensional

    ion as

    in

    himself

    umerically

    ne

    and whole nd

    complete.

    ur three-dimensional

    atural

    erceptualapaci-

    ties,

    herefore,

    eem to function s the

    epistemic

    nd

    pragmatic round

    o

    resolve heDescartes-Minus

    rgument.

    his sort f

    epistemic

    nd

    pragmatic

    groundingeems o bepreciselyhat s ackingntheperdurantistvaluations

    of

    the Descartes-Minus

    rgument,

    ut

    is not

    lacking

    n

    the evaluation f

    the

    ocrates-Minus

    rgument

    y

    our

    fourteenth-century

    ogicians.

    ocratess

    whole nd

    complete

    nd

    numerically

    ne

    in

    himself',

    n

    their

    nalysis.

    While it is

    true

    thatwe can conceive f some abstract our-dimensional

    temporal

    ocrates r

    Descartes,

    ur

    discerning

    f

    any

    patially

    oordinated

    elemental ifferences

    etween he three

    nd four-dimensional

    ocrates r

    Descartes an

    only

    ccomplished

    y

    omparing

    wo

    very

    ifferentnd abstract

    geometrical

    tructures ith one another.

    A

    four-dimensional

    space-time

    Socrates r Descartes s conceivednd locatednly ndirectly,ia an abstract

    47)

    bid,

    18.

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    4-73

    representationf a certain ype fgeometrictructure.either redirectly

    perceivable y

    us,

    precisely

    ecause

    hey

    re not

    temporally

    nd

    numerically

    complete

    n

    the

    present.

    Although

    eithermedieval

    ogician

    xplicitly

    aintains hat

    ocrates

    as

    physical

    temporal

    arts, perdurantist

    ight

    laim

    hat heir

    cceptance

    f

    Socrates

    aving

    hysical

    qualitativearts

    s no

    more

    omplicated

    han laim-

    ing

    thathe has

    temporal

    arts.

    et,

    orWilliam

    nd

    Albert,

    he

    physical

    ual-

    itative

    arts

    f

    physical

    bject

    re

    ignificandy

    ifferent

    rom he

    ontemporary

    perduran

    ists

    hysical

    temporalarts.

    orboth

    William

    nd

    Albert,

    ualita-

    tiveparts fa physicalbject retemporallyound to thepresentime, nd

    spatially

    ounded

    y

    he

    kind f

    physical

    bject

    t

    s. he

    temporalarts

    f

    four-dimensional

    bject

    for he

    perdurantist

    renot

    o

    temporally

    r

    spatially

    bounded,

    nless he

    bject

    was

    suddenly

    o

    cease o exist n

    the

    present.

    According

    o

    perdurantists

    e are

    merely

    metaphysically

    prejudiced

    n

    the

    three-dimensional

    ay

    whenwe

    carve

    up

    the

    spatial

    pread

    f

    physical

    objects.48 perdurantist

    ight

    laim that

    Socrates-Minus

    nd Socrates re

    numerically

    istinctnd

    discerned

    o be

    so,

    even

    hough

    hey

    ccupy

    he ame

    space.

    Socrates-Minuss all of

    Socrates

    xcept

    is

    finger

    nd

    is

    mapped

    nto

    Socrates ith ll

    his

    fingers.

    e

    directly

    ee both f

    them

    ccupying

    he

    ame

    space

    at the same

    time,

    because

    Socrates-Minus

    ills

    p

    the

    same

    space

    as

    Socrates

    except

    or

    finger.

    ence,

    we can

    see them s

    numerically

    istinct,

    yet

    oth

    n

    the ame

    pace.

    William

    would

    probably

    eply

    o

    such

    perdurantisty

    rguing

    hat

    iven

    perdurantist

    ccount

    we

    should also see an

    infinite

    umber f

    Socrates-

    Minuses

    filling p

    the

    same

    space

    as

    Socrates t the

    same time

    except

    or

    some

    part.

    This,

    he

    would

    think,

    ouldbe too

    absurd or

    he

    perdurantist

    o

    defend. lbert,n the ther and,wouldprobablyrgue hat ocrates-Minus

    simply

    oesnot xist t the

    ame ime nd

    n

    the

    ame

    roperpace

    with

    ocrates

    and ten

    fingers.

    ocrates-Minus

    s

    simply

    ot

    in

    himself,

    hole

    nd

    complete

    and

    numerically

    ne. 49

    evertheless,

    n

    their

    eplies

    o

    the

    perdurantist,

    oth

    Albert

    nd Williammake n

    implicit

    pistemological

    ppeal

    o our

    mmediate

    perceptual

    warenessfSocrateso avoid he

    perdurantist

    conclusion.

    In

    conclusion,

    he

    primary

    hortcoming

    f

    the

    ontemporaryerdurantist

    Descartes-Minus

    rgument

    s that

    n

    emphasizing

    he

    metaphysical

    laim

    n

    Leibnizs

    aws,

    hey

    latandy

    isregard

    ts

    pistemological

    laim.

    erdurantism,

    48)

    Loux,

    etaphysics

    228-229.

    49)

    Impossible

    st

    uod

    uo

    orpora

    int imul

    er

    e n

    eodemoco

    roprio.

    L

    tract

    ,

    no.

    59,

    51.

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    4-73

    73

    ifembraced,wouldconstantlyequire s to reformulateour-dimensional

    objects

    nto

    morefamiliar hree-dimensional

    nes,

    to

    generate

    ny

    sortof

    plausible

    aturalized

    pistemology.

    he

    rejection

    fSocrates-Minuss a

    really

    existing

    bject,

    y

    bothAlbert nd

    William,

    nd

    the

    requirement

    hatwhat-

    ever

    bject

    s

    being

    onsideredmustbe

    in

    itself

    umerically

    ne whole nd

    complete,

    eminds s

    today

    hat he

    medieval

    ragmatic

    esolution o the

    Socrates-Minus

    rgument

    lso can be

    applied

    o the

    ontemporary

    escartes-

    Minus

    Argument.

    ence,

    the

    contemporary

    escartes-Minus

    rgument

    s

    far

    more

    medieval,

    r

    perhaps

    he

    medieval

    ocrates-Minus

    rgument

    s far

    moremodern,hanhasbeenpreviouslyhought.

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    h /*

    f)

    BRILL

    VIVA

    RIUM

    Vivarium

    7

    2009)

    4-96

    www.brill.nl/viv

    John

    Wyclif

    and the

    Theory

    of

    Complexly

    Signifiables

    Richard

    Gaskin

    Universityf iverpool

    Abstract

    John

    Wyclif

    laims hat herere elations

    f

    ssential

    dentity

    ndformal

    istinctness

    connecting

    niversais,

    omplexly

    ignifiables,

    nd ndividuals.

    n

    some

    espects

    yc-

    lif

    position

    n

    complexly

    ignifiables

    oincides

    ith

    what callthe dvanced es

    theory,

    he iew hat

    omplexly

    ignifiables

    re

    eally

    dentical ith ut

    ormally

    is-

    tinct rom

    orldly

    ndividuals.

    uttheres no

    question

    n

    Wyclif

    treatment

    fa

    reductionf

    complexlyignifiables

    o ndividuals.

    argue

    hat

    Wyclif

    opulates

    is

    most undamentalntologicalevelwith ropositionallytructuredntitiesothndi-

    vidual nd

    universal,

    nd

    hat his

    pproach

    s

    uperior

    othat f tsnominalist

    ivals.

    But

    Wyclif

    hares

    ith ther ersionsf he

    dvanced

    es

    heory

    n

    mplausible

    heory

    of

    dentity,

    nd

    this ffectshe oherencefthe

    laimed

    eal

    dentity

    etween

    ndi-

    vidualsnd

    omplexly

    ignifiables.

    Keywords

    complexly

    ignifiables,

    dentity,

    ssence,

    ormal

    istinction,ealism,

    niversais

    1 Introduction

    According

    o the atemedieval

    heory

    f

    complexly

    ignifiablescomplexeig

    nificabilid

    ,

    championed

    y

    Adam

    Wodeham

    nd

    Gregory

    f

    Rimini,

    heulti-

    mate

    ignificate

    f a

    spoken

    r written eclarative

    entence,

    nd

    the

    object

    f

    scientificnd

    theological

    ssent, issent,

    nd

    knowledge,

    s an

    extra-categorial

    worldly

    tructure

    anonically

    pecified

    y

    nominalizing

    he entence

    n

    ques-

    tion.Thus the

    ignificate

    f

    thesentence God is three nd one

    ( Deus

    est

    trinus t

    unus )

    s taken

    o be the

    object

    hatGod

    s three

    nd

    one

    .

    eumesse

    trinumtunum)}Thetheory asdevelopednoppositionoth o William f

    0

    A.

    Wodeham,

    ecturaecundan

    Primmententiarum.

    rologus

    tDistinctio

    rima,

    d

    .

    R.Wood ndG.

    Gal,

    St.

    onaventura,

    990),

    sp.

    80-208;

    regory

    f

    Rimini,

    ectura

    uper

    Koninklijke

    rill

    V, eiden,

    009

    DOI: 0.1

    63/156853408X345927

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    R. GaskinVivarium

    7

    2009)

    4-96 75

    Ockham,whoheld herelevantignificatend bearer fpropositionalttitudes

    to be a

    propositio

    entalisand to Walter

    hatton,

    who heldthat herelevant

    itemwas

    in

    the

    implest

    ind f

    case)

    the

    ignificate

    f the

    entences

    ubject,

    typicallynon-complex

    xtra-mentalndividual

    God,

    n

    the aseofour am-

    ple

    sentence.2

    n

    contrast ith he

    simple

    res

    heory

    f

    Chatton,

    ome ater

    philosophers,

    uch

    s

    Andr

    e Neufchteaund

    Hieronymus

    ardo,

    dopted

    what

    we

    might

    all n advanced es

    heory,

    hich

    greed

    with

    Gregorys

    heory,

    in

    the irst

    nstance,

    ut imed

    o reconcilehe

    esultingntology

    ith

    Aristote-

    lian

    category

    heory,

    nd

    usually

    lso

    with

    nominalism,

    y

    arguing

    hat om-

    plexlyignifiablesouldbe reduced o ndividuals.3hedoctrineypicallyook

    the articulatedorm

    f

    claiming

    hat

    ppropriate

    omplexly

    ignifiables

    nd

    individuals

    re

    really

    denticalut

    ormally

    istinct.

    o,

    for

    xample,

    od would

    be

    really

    dentical

    ith,

    ut

    formally

    istinct

    rom,

    he

    ntity

    hat

    God

    s three

    and one Elsewhere

    havediscussedhe dvanced es

    heory

    n

    some f tsnom-

    inalistmanifestations.4ut

    the

    theory

    lso ent tself o

    a

    realist

    onstruction,

    and t s on a

    prominent

    uchversion

    fthe

    heory

    hat wish o focus ere.

    John

    Wyclif

    rote is famous

    reatisen

    universais

    ith he

    principal

    im

    of

    defending etaphysical

    ealism. ut

    n

    the

    ourse

    f

    pursuing

    his

    bjective

    he

    developed

    version f the

    theory

    f

    complexly

    ignifiables

    hat s of con-

    siderable istoricalnd

    systematic

    nterest.

    orresponding

    o these wo fea-

    turesof

    its

    interest,

    he

    discussion

    which followshas two main

    aims,

    a

    descriptive

    ne and a

    polemical

    ne. Alessandro onti noted

    n

    1997

    that

    until he

    publication

    n

    1985

    of

    thefirst

    ritical

    dition

    f

    Wyclif

    treatisen

    universaischolars ad

    generally eglected

    Wyclif philosophy

    n

    favour f

    his

    theology

    nd

    politics.5

    onti own

    work,

    long

    with hat f

    others,6

    as

    Primumt ecundumententiarumt./, rologustDist. -6,ds.A.TrappndV.Marcolino

    (Berlin,981),

    sp.

    -40. n the

    heory

    enerally,

    ee

    G.

    Nuchelmans,

    ate

    cholastic

    nd

    Humanistheories

    f

    he

    roposition

    Amsterdam,

    980),

    -140;

    .

    J.

    Ashworth,

    anguage

    nd

    Logic

    n

    he ost-Medievaleriod

    Dordrecht,974),

    7-76;

    tudiesnPost-Medievalemantics

    (London,985),

    h. V.

    2)

    For eferenceso he elevant

    exts,

    ee

    my

    Complexeignificabilia

    nd

    Aristotle's

    ategories

    ,

    inj.

    Biardnd . Rosier-Catach

    eds.),

    atraditiondivalees

    atgories

    Louvain,003),

    87-

    205,

    n.

    and

    .

    3)

    See

    my

    Complexeignificabilia

    nd he ormal

    istinction',

    nA.

    MaierndL. Valente

    (eds.),

    edievalheories

    f

    ssertivend

    Non-Assertive

    anguage

    Rome,004),

    95-516.

    4)

    See rt.it., reviousote.5)

    A.

    Conti,

    Analogy

    nd

    ormal

    istinction:n the

    ogical

    asis f

    Wyclif

    Metaphysics',

    Medieval

    hilosophy

    nd

    Theology

    , 1997, 33-65,

    t

    p.

    134.

    6)

    Here shall e

    specially

    oncerned

    ith

    pade's

    Introduction'o

    John

    yclif:

    nUniversais

    (Tractatus

    e

    Universalibus

    ,

    trans.

    Kenny

    Oxford,

    985).

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    76

    R.

    Gaskin

    Vivarium

    7

    2009)

    4-96

    gone omeway orectifyinghatmbalance, ut ofcourse here smuch till

    to be

    done,

    and one

    aspect

    f

    Wyclif

    philosophy

    hathas

    suffered

    ndue

    neglect

    ven

    from

    istoriansf

    ogic

    nd

    anguage

    s his

    realistic

    reatmentf

    the

    heory

    f

    complexly

    ignifiables.

    hat

    argely

    escriptive

    rogramme

    s

    the

    topic

    f

    2-4

    of

    his

    aper.

    As for

    my

    polemical

    genda,

    twill

    be

    argued

    hat

    Wyclif

    version f

    the

    theory

    f

    complexly

    ignifiables,

    hough

    ot

    without

    difficulty,

    s

    philosophically

    uperior

    o ts

    main

    nominalist

    ivals

    4-5).

    The

    principal

    espect

    n

    which

    t s

    problematic

    s

    one that

    t

    shareswith

    ts

    rivals,

    and stems

    rom he

    very

    dea of

    attempting

    o

    combinereal

    dentity

    ith

    formal istinctness;or headvanced es heory as

    difficulty

    aking ood

    sense f

    therelation

    f

    real

    dentity

    6).

    2

    Complexe

    ignificabilia

    n

    the

    Tractatus e

    Universalibus

    In

    his

    Tractatus

    e

    Universalibus,

    hich

    orms

    he ixth

    ract f

    the

    first ook

    of

    he

    o-called

    umma eEnte7

    nd was

    probably

    omposed

    n

    1373-4,

    Wyc-

    lif,

    n

    the

    course f

    defending

    ealism

    bout

    universais,9

    dentifies

    niversais

    with ruths n theonehand,10nd with omplexlyignifiablesn theother.11

    For

    xample,

    he

    universal

    umanity

    s

    dentifiedoth

    with

    he ruth

    theres

    a man

    homo

    st),

    onceived s a

    worldly

    ntity,

    nd with

    he

    omplexly

    ig-

    nifiable hat

    heres a

    man

    hominem

    sse).12

    n

    the

    De

    Logica

    he

    proposition

    is

    defined s an

    ens

    complexe

    ignificans ,

    r

    more

    accurately

    s

    a

    racio

    indicativa,

    ongrua, ignificans

    omplexe

    icut st

    vel

    sicutnon

    est ,

    nd the

    7)

    On this

    orkn

    general,

    ee

    J.

    Robson,

    yclif

    nd

    he

    xford

    choob

    Cambridge,

    961),

    Part

    I.

    8)See .Muellersntroductionohis ditionf he ractatuseUniversalibusTdU),Oxford,

    1985),

    ix-xxx.ll

    eferenceso he

    dU

    will

    e o his

    dition.

    9)

    For seful

    urveys

    f he

    ssential

    oints

    f

    Wyclif

    metaphysics

    nd

    heology,

    eeA.

    Kenny,

    Wyclif

    Ox

    ord,

    985);

    .

    Leff,

    The lace f

    Metaphysics

    n

    Wyclif

    Theology',

    n

    A.

    Hudson

    andM.

    Wilks

    eds.),

    rom

    ckhamo

    Wyclif

    Ox

    ord,

    987),

    17-32.

    n

    Wyclif

    treatment

    of

    universais,

    ee

    Conti,

    Studio

    torico-critico'

    n

    Johannes

    harpe:

    uaestio

    uper

    niversalia

    (Florence,

    990),

    sp.

    98-309,

    nd

    Analogy',

    50-8.

    10)

    TdU,

    5,93-56,104;

    9,184-84,315;

    67,429-172,539;73,490-6.

    All

    itations

    ollowhe

    format:

    age

    umbers,

    ine

    umbers.)

    f.

    ohannis

    yclif

    ractatuse

    ogica

    vol.

    Logica

    2)),

    ed.M.

    Dziewicki

    London,

    896),

    3,12-30;

    ohannis

    yclif

    umma

    e

    nte,

    ibri

    rimi

    rac-

    tatusrimust ecundusSdE),d. . H.ThomsonOxford,930),4,22-45,28.n)

    TdU

    22,109-11;

    4,88-99;

    7,161-78,168;

    9,184-84,315;

    11,17;

    67,429-172,539.

    f.

    Logica

    2),

    33,12-30;

    9,21-41,35;

    e

    Ente

    ibrorum

    uorum

    xcerpta

    ELD),

    d.M. Dzie-

    wicki

    London,

    909),

    0,10-11;2,31-9;

    dE, 7,16-29,16;4,22-45,28.

    ,2)

    TdU

    70,13-16.

    f.

    69,457-172,539;

    81,754-5.

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    7

    2009)

    4-96

    77

    significatesf thepropositionsDeus est and homoest arespecifieds

    Deumesse

    nd hominem

    sse

    espectively.13yclif

    grees

    with

    Adam

    Wodeham

    and

    Gregory

    f Rimini

    hat hese

    ntitiesrethe

    ultimate

    bjects

    f

    cientific

    knowledge,

    nd the

    reasons e

    gives

    re

    reminiscentf

    Gregorys

    n

    particular:

    one

    can have

    hat

    knowledge

    ithout

    eing cquainted

    with

    he

    relevant

    po-

    ken

    or

    writtenerms r

    mental

    oncepts,

    nd that

    knowledge

    an

    survive he

    demise f

    poken

    r

    written

    igns

    nd mental

    oncepts.14 yclif

    laims,

    gainst

    the

    Ockhamist

    radition,

    hatno

    spoken

    r written

    entence ould

    be true r

    necessary

    xcept

    n

    thebasis

    fthe

    xistencef

    truth r

    necessity

    parte

    ei

    and that uchreal xistences independentftheexistence fsigns: t s the

    universal

    orldly

    ignificates

    f

    general

    erms,

    ot

    those erms

    hemselves

    r

    their

    corresponding

    ental

    oncepts,

    hat

    ives

    cience ts

    generality.15

    As

    far s

    worldly

    ruthsre

    concerned,

    Wyclif

    grees

    with

    Walter

    urleigh

    that heres

    such

    thing

    s a

    propositio

    n

    re>

    r real

    predication,

    s he calls

    t.16

    In

    his

    De

    Logica

    Wyclif

    n

    fact

    istinguishes

    wo

    kinds

    f

    real

    proposition.17

    (i)

    First,

    heres

    whathe calls

    he

    propositio

    ealis ,

    xamples

    fwhich

    re ste

    homo

    nd iste

    apls.

    Wyclif

    lassifies

    hese s

    propositions

    ecause

    hey

    have

    implicit

    and

    real)

    subject- redicate

    tructure:

    n

    the case of

    iste

    homo for

    instance,

    umanity

    s

    implicitly eally

    redicated

    f the

    man

    in

    question.

    (ii)

    Secondly,

    heres

    the truth

    ignified

    n

    the

    ide

    of

    he

    hing,

    ike

    he ruth

    thatman

    s

    Veritas

    ignificataparte

    eiy

    icut

    sta

    Veritas:ominem

    sse).18

    ike

    Burleigh,

    yclif

    estricts

    eal

    predication

    o

    truths,19

    nd

    indeed t

    one

    point

    he even

    refuses

    hetitle

    predication

    o

    false

    redications.20

    ut

    Wyclif

    oes

    further

    han

    Burleigh

    n

    one

    mportant

    espect:

    hereas

    urleigh

    llowed he

    copula

    of true

    egative

    entence

    o have

    real

    orrelate,

    amely

    he

    diversity

    of the

    things

    or

    which

    heextremes

    upposit,Wyclif

    enies

    eal

    xistenceo

    13)

    Johannis

    yclif

    ractatuse

    Logica

    vol.

    .

    ogica

    1)),

    d.

    M.

    Dziewicki

    London,

    893),

    14,1-24;

    f.

    ogica

    2),

    03,24-31.

    yclif

    oes ot

    istinguish

    etween

    he

    ignificates

    f

    rop-

    ositionsnd f

    heir

    ominalizations

    dicta):

    dE,

    7,16-28,4;

    9,17-30,20.

    ,4)

    TdU,

    44,444-149,564.

    f. dE,

    35,11-13;

    . H.

    Thomson,

    A

    Lost

    hapterfWyclif's

    Summa

    e nte

    Speculum

    , 1929,

    39-46,

    t

    pp.

    42-3.

    15)

    dU

    140,356-65;

    44,444-61.

    16)

    dU

    16,24-28,170.

    n

    Burleigh,

    ee

    .

    inborg,

    Walter

    urleigh

    n

    he

    Meaning

    f

    rop-

    ositions',

    lassicat

    Mediaevalia

    8,1967,

    94-404.

    ,7)

    Logica1),14,25-15,25.f. he efinitionf ere redicationtTdU18,41-4.18)

    f.

    Kenny,

    The

    Realismf

    he e

    Universalibus'

    nA.

    Kenny

    d.,

    Wyclif

    n

    hisTimes

    (Oxford,

    986),

    7-29,

    t

    pp.

    8-19;

    onti,

    Analogy',

    38-42.

    ,9)

    TdU

    27,160-28,169;

    40,356-65;

    f. LD

    13,20-3.

    20)

    TdU, 3,231.

    ee

    pade,

    Introduction,

    l-xli.

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    2009)

    4-96

    negative ropositionsout ourt}1 o forWyclifnly ositiverue redications

    can be

    real. ndeed

    he

    ntroducesurther

    estrictionsn

    the

    cope

    ofreal

    red-

    ication:

    ruths

    boutthe

    past

    nd

    future,

    ike

    negative

    ruths

    nd

    ogical os-

    sibilities

    re,

    for

    Wyclif,

    mere ntia

    rationis

    hose

    real

    correlates

    God.22

    n

    denying

    eal

    xistence o

    negative

    ropositions

    yclif

    position

    s more

    ir-

    cumscribedhan

    Burleigh's;

    ut

    n

    another

    espect

    t s

    muchmore

    adical.We

    can

    see this

    f

    we note hat

    Burleigh's

    octrine f

    the

    ropositio

    n re

    s

    wrongly

    so

    called.

    For,

    iven

    hat

    he ocates

    he

    opula

    n

    the

    mind,

    nd

    given

    hat,

    n

    his

    view,

    he

    orrelatesf

    true

    ositive

    nd

    negative

    entences

    n

    the

    world re

    the dentityrdiversityf he hingsorwhich he xtremesf hose entences

    supposit,

    espectively,

    urleigh

    n

    fact nds

    up

    with

    position

    n

    the

    proposi-

    tion

    not

    ubstantially

    ifferentrom hat

    fhis

    nominalist

    pponents:

    heres

    not,

    or

    urleigh,nything

    ropositionally

    tructuredhat

    s

    wholly

    n

    the

    world.

    Butfor

    Wyclif

    ropositions

    nvolving

    hathe

    callsreal

    predication

    re

    ndeed

    wholly

    n

    theworld: o forhim

    the

    world

    eally

    oes contain

    ropositionally

    structured

    ntities.23

    These

    propositionally

    tructured

    ntities,

    hich re

    n

    effecthe

    same as

    what

    Gregory

    alls

    omplexlyignifiables,

    refurther

    dentified

    yWyclif

    ith

    appropriate

    ndividuals rawn rom he en

    categories.24

    yclif

    alls he

    den-

    tity

    n

    question

    essential

    dentity,

    ut

    by

    hishe

    meanswhat s

    usually

    alled

    real

    dentity:

    e

    uses he

    word essence o

    denote

    hings,

    hetherf

    generic,

    specific,

    r

    numerical

    nity,25

    eserving

    he erm

    quiddity

    or

    ssences

    n

    the

    usual

    ense,

    hat

    s,

    for

    collections

    f)

    constitutive

    roperties,

    nd

    reserving

    the

    notion real

    dentity

    or

    sub-class f

    essential

    dentities hich

    neednot

    concern

    s here.26

    Like other

    roponents

    f what

    have

    calledthe

    dvanced es

    heory

    1),

    whoheld that omplexlyignifiablesrereallydenticalwith,butformally

    distinct

    rom,

    orldly

    ndividual

    hings,

    Wyclif

    ombines

    claim f essential

    identity

    etween

    ndividualsnd

    appropriate

    omplexly

    ignifiables

    ith he

    thesis hat

    ndividuals

    re

    formally

    istinct rom

    he

    complexly

    ignifiables

    2,)

    TdU,

    7,157-28,169.

    22)

    dU

    27,157-28,169;28,77-9;

    38,312-18.

    f.

    Lost

    hapter',

    42;

    ohannis

    yclif

    e nte

    Predicamentali

    EP),

    d.

    R.

    Beer

    London,

    891),

    h. .

    23)

    eehere

    gain ogica

    1),

    14,1-15,25.

    24)

    TdU72,48-73,67.ee urtherdU74,88-99;0, -20; ,79- 4,322;76,83-277,84.

    Cf.

    Logica

    2),

    203,24-31;

    LD

    37,6-38,19;

    dE

    19,4-5;

    2,1-13;

    5,18-27,15;6,11-26;

    44,22-45,28.

    25)

    dU

    90,126-91,130;29,110-130,119.

    f.

    Kenny,

    yclif

    1-2.

    26)

    dU

    p.

    91,131-7.

    f.

    pade,

    Introduction,

    xi.

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    withwhichthey reessentiallydentical.27nd,givenhis identificationf

    universais

    ith

    omplexly

    ignifiables,

    hathas the

    consequence

    hatuniver-

    sais re

    essentially

    dentical

    ith,

    hough

    ormally

    istinct

    rom,

    ndividuals:

    I

    agree

    that

    very

    niversals

    ndividual,

    nd ice

    ersa,

    hough

    he wo

    re

    ormally

    is-

    tinguished

    romach ther.

    How,

    ask

    ou,

    ould

    nowing

    niversally

    he

    pecies

    f

    man

    elp

    oknowhis

    man,

    nless

    hisman ere

    species?

    imilarly

    hathis ans s hat

    man

    s,

    nd

    n

    his eal

    redication

    he

    uperior

    s

    omething

    ommon

    o ts nferior.28

    Thispassages nterestingnasmuch sittells s that heres nfact complete

    worldly

    oincidence etween

    niversais,

    omplexlyignifiables,

    nd ndividu-

    als. We have

    lready

    een

    that,

    or

    Wyclif,

    niversais

    re to be identified

    ith

    complexly

    ignifiables

    nd

    complexly

    ignifiables

    re to

    be identified ith

    individuals:

    t

    follows

    hatuniversais

    re ndividuals.

    he above

    passage

    on-

    firms

    his

    mplication,29

    ut

    t also affirms

    he onverse

    mplication

    and

    vice

    versa ),

    ndicating

    hat

    very

    ndividual

    s a universal.30

    t follows hatthe

    three

    xpressions

    universais ,

    complexly

    ignifiables ,

    nd individuals

    ick

    out

    exactly

    he same

    worldly

    hings.

    It

    follows urther

    hat

    very

    ntity

    s

    essentiallydentical ith t east ne ndividual.econd-orderniversais,uch

    as

    being redicable f

    many,

    re no

    exception.)31

    ny

    given

    ntity

    icked

    ut

    underone

    of these haracterizations

    s,

    in

    Wyclif

    terminology,ssentially

    identical

    ith,

    hough ormally

    istinct

    rom,

    n

    entity

    icked

    ut

    under

    ach

    of

    the ther wo haracterizations.

    s far s the

    upposition

    frelevant

    xpres-

    sions

    goes,

    hismeans hat noun

    phrase

    uch s

    being

    lind

    caecum

    sse)

    can have either

    ersonal

    upposition,

    n

    whichcase it

    supposits

    ither or

    blind ndividuals

    hemselves

    the

    ubstances)

    r for

    ny

    ftheir

    ccidents,32

    r

    27)

    TdU, 78,695-9;

    f.

    LD

    37,6-38,19.

    28)

    TdU

    87,57-69

    I

    have

    dapted

    enny's

    ranslation):

    concedo...

    uod

    mne niversale

    est

    ingulare

    t

    contra,

    icet

    istinguantur

    ormaliterb nvicem

    Quomodo,

    uaeso,

    oret

    pertinens

    ognoscere

    lium

    ominem,

    ognoscendo

    niversaliter

    peciem

    ominis,

    isi lle

    homo oret

    pecies,

    icutlium

    ominem

    sse

    sthominem

    sse,

    n

    quapraedicatione

    eali

    communicatur

    uperius

    uo

    nferiori? .ee lso

    TdU, 02,100-4;39,346-140,351;84,262-

    285,278;89,380-91;

    08,176-97;38,193-212.

    f.

    ogica

    2),

    37,3-18;

    LD

    37,5-39,26;

    SdE

    61,8-12.

    29)

    f.

    TdU, 50,8-16;dE, 5,16-27.

    f.

    pade,

    Introduction,

    xiv-v.

    30)

    f.TdU, 37,281-4.31)

    f.

    pade,

    Introduction,

    xv.

    32)

    Not

    ust

    he ccidentf

    eing

    lind,or,

    swe hallee

    hortly,

    ccidental

    roperties

    re

    at

    leastn

    Wyclif

    official

    iew)

    denticalithheir

    ubjects,

    nd

    hough,

    swe hall

    lso

    ee,

    he

    relationf ssential

    dentity

    snot

    n

    general

    ransitive,

    yclif

    view

    ppears

    obe hat niversais

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    simple upposition,n whichcase it supposits or he form r propertyf

    blindness.

    he abstract

    oun

    blindness

    caecitas

    ,

    on theother

    and,

    lways

    supposits

    or

    form r

    property,

    hough parte

    rei

    there s no

    distinction

    between

    lindness

    nd

    being

    blind

    they

    re both

    essentially

    dentical

    with

    blind

    ndividuals).33

    he essential

    dentities

    n

    question

    an

    be

    conveyed

    oth

    by

    what

    Wyclif

    alls

    formal

    redication

    nd

    by

    whathe calls

    essential

    red-

    ication :

    etus examine

    hese

    otions.

    3 Wyclifn Predication

    Formal

    redication,

    e are

    told,

    nvolves

    heformal

    nherence

    f the

    predi-

    cate,

    taken

    s a real

    that

    s,

    worldly)

    ntity,

    n

    the

    subject,

    aken

    s a real

    entity,

    hile ssential

    redication

    s said to

    involve ne

    and the

    ameessentia

    featuring

    s both

    ubject

    nd

    predicateagain,

    aking

    ubject

    nd

    predicate

    s

    real

    ntities).34

    ow

    Wyclif

    treatment

    f these

    arieties

    f

    predication

    ives

    rise o some

    exegetical

    ifficulties.35

    irst,

    he official

    efinition

    f essential

    predication

    lainly

    upplies

    nly

    necessary

    nd

    nota sufficient

    ondition

    f

    it,36or hererecaseswherereal) ubject ndpredicaterethe ameessentia

    but

    where

    Wyclif

    efuses

    he title

    essential

    redication

    o

    the structure

    n

    question.37

    econdly,

    lthough

    Wyclif

    laims

    n the Tractatus

    e Universalibus

    that ssential

    redication

    ncludes

    ormal

    redication,38

    n

    thefourth

    reatise

    ofthe

    first ook

    of

    the umma

    e ente

    .

    urgans

    rroresirca

    niversalia

    n

    com-

    muni)

    9

    he

    states hat

    ssential

    nd

    formal

    redication

    re

    mutually

    xclusive.

    But

    for ur

    purposes

    t suffices

    o

    note he

    following

    wofeatures

    ommon

    o

    both

    formal nd

    essential

    redication

    s

    they

    re

    presented

    n

    the

    Tractatus

    e

    Universalibus.

    oth include

    ccidental

    s

    well as

    quidditative

    redication,40

    that

    onverge

    n

    n

    ndividual

    re

    ssentially

    dentical

    ithach ther:

    dU, 1,138-47;

    71,800-

    272,806

    quoted

    n

    he

    ext

    elow).

    f.

    dE,

    4,1

    -19.

    33)

    TdU, 32,171-133,194.

    f.

    ogica

    2),

    0,39-41,35;

    2,38-43,27;

    dE, 3,21-27,15.

    34)

    dU

    28,171-33,234.

    f.

    Lost

    hapter',

    42-4.

    35)

    f.

    pade,

    Introduction,

    xxv-xli.or

    ur

    urposes

    e an

    gnore

    third

    ariety

    f

    redica-

    tion

    hat

    Wyclif

    dentifies:

    raedicatio

    ecundum

    abitudinem.

    36)

    ace

    onti,

    Analogy',

    56.

    37)

    TdU, 2,219-33,233;

    59,514-22.

    38)

    TdU, 5,258-36,267.39)

    Lost

    hapter',

    42.

    40)

    n he ase

    f

    uidditative

    nd

    ccidental

    ormal

    redication,

    nd

    uidditative

    ssential

    red-

    ication,

    hiss

    lear rom

    he fficial

    efinitions

    tTdU

    28,170-35,249;

    orccidental

    ssential

    predication,

    ee,

    .g.,

    dU, 40,49-59;

    f.

    LD, 5,26-32;

    Lost

    hapter',

    42-3.

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    8 1

    and both nvolve heessentialdentityfsubject ndpredicate,aken s real

    entities.

    Wyclif

    husfollows

    standard

    medieval

    heory

    f

    the

    truth-conditionsf

    simple

    ingular resent-tensed

    on-modal

    eclarative

    entences,

    he

    o-called

    identityheory ,

    ccording

    o

    which he ruth f

    uch

    entences

    equires

    hat

    subject

    nd

    predicate,

    aken s

    linguistic

    ntities,

    upposit

    or he

    ame

    hing;

    in

    Wyclif

    case,

    given

    hathe

    is

    construingubject

    nd

    predicate

    s real

    nti-

    ties,

    he

    requirement

    s

    expressed

    s a

    requirement

    hat

    ubject

    nd

    predicate

    actually

    e

    the ame.41

    o forestall

    ossible

    erminological

    onfusion,

    t

    would

    be welltostate learly ow the dentityheoryfpredicationiffersromhe

    simple

    nd

    advanced es

    heories f

    sentence

    meaning

    we

    have

    already

    men-

    tioned. he

    dentity

    heory

    imsto tell

    us what he

    truth f a

    declarativeen-

    tence onsists

    n

    namely

    he

    dentity

    f

    subject

    nd

    predicate,

    n

    Wyclif

    version,

    r

    the

    dentity

    f their

    ignificates,

    n

    the

    usualversions.

    he res

    he-

    ory, y

    contrast,

    ims to tell

    us what

    the

    meaning

    f a

    declarative

    entence

    consists

    n

    namely

    he

    ndividual

    ignified

    y

    ts

    subject

    erm.

    hat s the

    simple

    ersion f

    theres

    heory,

    o which

    he

    dvanced ersion

    dds that he

    relevant

    ndividuals

    really

    dentical

    ith,

    ut

    formally

    istinct

    rom,

    herel-

    evant

    omplexly

    ignifiable.

    It is

    noteworthy

    hat

    while

    n

    Ockhamsmore

    amiliar

    ersion f

    the den-

    tity

    heory,

    o-supposition

    f

    subject

    nd

    predicate

    s

    not

    only

    necessary

    ut

    also

    sufficientor he

    ruth f

    the

    orresponding

    entence,42

    yclif

    nsists hat

    (casting

    he

    theory

    n

    his

    terms)

    dentity

    f

    subject

    nd

    predicate

    s

    only

    necessary,

    nd not also a

    sufficient

    ondition,

    f

    truth.43or

    there re

    sen-

    tences,

    uch

    s The

    Fathers the

    Son ,

    Man is an

    ass ,

    The

    Deity

    s

    begot-

    ten,

    ies

    tc. ,

    nd

    The

    uiddity

    f man

    s

    white ,

    atisfying

    he

    requirement

    that ubjectndpredicatee identicalnrebutthat reneverthelessottrue.

    These

    entences eed o

    be

    subjected

    o

    exportation

    to

    borrow

    uine

    term)

    of

    critical

    xpressions

    n

    order o

    render hem

    rue:44

    or

    xample,

    he

    first

    proposition

    eeds o

    be

    convertedo

    The Father

    s

    that

    hing

    which s

    {illud

    quod

    est)

    he

    Son ,

    the

    econd o

    Man

    is what n

    ass

    is ,

    etc.45

    We arrive

    t

    predications

    hat re

    presumably

    to

    put

    it in

    Wyclif

    terminology)

    essen-

    tial ,

    nd

    true;

    utwe

    do not

    have

    common

    uppositum.

    n

    saying

    hat

    uch

    41)

    n

    the

    dentity

    heory

    with

    urther

    eferenceso

    relevant

    exts),

    ee

    my

    berlegungen

    ur

    Identittstheorieer rdikation',issenschaftndWeisheit, 1997,7-103.42)

    umma

    oeicae

    ed.P.Boehner

    t l.

    St.

    onaventura,

    974),

    I,2,

    249,8-250,16.

    43)

    TdU,

    2,219-33,233;

    59,514-22.

    44)

    f.

    my

    Complexe

    ignificabilia

    nd

    he ormal

    istinction',

    4.

    45)

    f.

    TdU, 9,

    4-

    02,

    04;

    40, 9-67;

    64,

    22-267,

    06.

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    4-96

    predicationsrepresumablyssential,take ssuewith .V.Spade,whoargues

    that

    n

    order o

    captureWyclif

    real

    ntentions

    e

    should dd

    the

    require-

    ment

    f a

    common

    uppositum

    o

    the

    definitionf

    essential

    redication.46

    f

    that s

    correct,

    he

    relevant

    xported'

    redications

    Man

    is

    what n

    ass

    is ,

    etc.)

    will

    not

    nvolve ssential

    redication

    fter

    ll,

    nd so

    notreal

    predication

    either

    since

    hey

    re

    certainly

    ot

    cases

    of

    formal

    redication).

    ut t s

    one

    thing

    o hold

    that Man

    is an

    ass

    does not

    nvolve

    eal

    predication

    it

    s

    after

    all

    false

    nd,

    whatever e think

    f

    he

    point,Wyclif

    oes,

    s we

    have een

    2),

    restricteal

    redications

    o

    truths;

    t

    wouldbe

    quite

    nother

    hing

    o

    holdthat

    Man iswhat n ass s ,which strue, oes not nvolve eal

    predication,

    nd

    think

    we

    should

    ry

    o

    avoid

    imputing

    uch

    strong

    octrine

    o

    Wyclif.

    Whether r

    not

    I

    am

    right

    bout

    this,

    t is

    clear

    hat

    adding

    o

    Wyclif

    definition

    f

    truth,

    hich,

    s we

    have

    seen,

    yields

    merely

    ecessary

    nd not

    also

    sufficient

    onditions,

    he

    requirement

    f

    common

    suppositum

    or,

    o

    put

    it

    in

    Spades

    terms,

    dding

    he

    requirement

    hat

    he

    relevant

    redication

    e

    real)

    will

    not

    patch

    up

    that

    efinition.

    nsteadwe will

    flip

    rom

    specification

    of

    necessary

    utnot

    ufficient

    onditions

    or ruth

    o

    one of

    ufficient

    ut

    not

    necessary

    onditions:

    eal

    dentity

    n

    its own

    was

    not

    sufficientortruth,

    because here

    re

    cases f

    falsehoods

    nvolving

    uch

    dentity

    Man

    is an

    ass );

    real

    dentity

    ogether

    ith

    common

    uppositum

    s not

    necessary

    or

    ruth,

    because here

    recases

    ftruths

    ot

    involving

    common

    uppositum

    Man

    is

    what n

    ass

    s ).

    Rather,

    n

    order o

    convert he

    official

    efinitionf

    truth

    nto

    specifica-

    tionof

    both

    necessary

    nd

    sufficient

    onditions

    we

    have to

    allude

    explicitly

    to

    supposition

    heory.

    ow

    in

    the

    reatisen

    universais

    yclif

    s

    unwilling

    o

    do

    this,

    becausehis

    realist

    pproach

    o

    predication

    s

    precisely

    esigned

    o

    obviate heneedto talk boutrelationsetweenlanguagend theworld.But

    how

    otherwisere

    we to

    accountfor

    he

    datum

    hat Man

    is an ass

    fails

    o

    be

    true,

    nd fails ven

    to

    involve n

    essential

    redication

    n

    spite

    f

    thefact

    that man

    and ass

    have the

    same

    essentia

    the

    genus

    animali

    y),

    7

    whereas

    Man is

    that

    hing

    which s an

    ass

    ucceeds

    n

    being

    both

    rue

    nd

    presum-

    ably)

    an

    essential

    redication?48

    here

    an

    only

    be

    one

    explanation

    f

    this

    difference,

    amely

    hevariation

    etween

    hese wo

    entencesn

    the

    upposi-

    tionof

    the relevant

    inguistic

    erms

    occurring

    herein:

    here s a

    shift ither

    from

    ersonal

    upposition

    n

    the

    firstaseto

    simple

    upposition

    n

    the

    econd,

    461

    'Introduction,

    xxvii-xxxviii.

    47)

    TdU, 3,227-32.

    48)

    TdU, 9,34-43.

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    83

    or fromimple uppositionf the pecies nthefirstasetosimple upposi-

    tion of the

    genus

    n

    the

    second.49

    y

    contrast,

    s

    long

    as we

    remain t the

    levelof

    ontology

    we

    do

    not

    have the

    resources

    o

    distinguish

    etween

    he

    complexly

    ignifiables

    hatman s

    an ass

    nd thatman

    s that

    hing

    hichsan

    ass.

    In

    this

    onnection

    t s

    interesting

    o

    note hat

    n

    the

    Logice

    ontinuado

    which

    s

    exclusively

    oncerned ith

    herelation

    etween

    poken

    nd written

    terms

    nd their

    ignificates,50yclif

    ad

    followed

    presuming

    hat

    he Trac-

    tatus

    e

    Universalibus

    as written

    ater51

    a more

    raditional

    ay

    of

    dealing

    with

    these nd

    similar

    roblems,

    n

    terms f

    standard

    upposition

    heory,

    accordingowhich ophismsrise romllicithiftsnthe uppositionfkey

    linguistic

    erms.)52

    Hence,

    while

    find

    ttractive

    pades

    exegetical

    uggestion

    hat

    Wyclif

    doctrine f

    formal nd

    essential

    redication

    lays

    for

    real

    predication

    he

    same

    role

    hat he

    heory

    f

    personal

    nd

    simple

    upposition

    lays

    t

    the evel

    of

    linguistic

    redication ,53

    t

    seems

    o me

    that,

    f

    he

    doctrine

    eally

    s meant

    to

    render

    upposition

    heory

    edundant

    n

    respect

    f real

    predication,

    t

    fails.

    On this

    point,

    t

    least,

    f

    not on

    others,

    he

    grand

    project

    which,

    s

    Conti

    plausiblyuggests,54yclif

    s

    engagedn,namely

    he

    hypostasization

    f

    ogi-

    cal

    and

    linguistic

    istinctions the

    attempt

    o

    replicate

    hese

    istinctions

    n

    detail

    t the

    evel f

    ontology

    breaks

    own.

    It is an

    important

    eature

    f

    Wyclif

    version f the

    dentity

    heory

    as,

    mutatis

    mutandis

    of other

    ersions)

    hat

    heessential

    dentity

    f

    subject

    nd

    predicate,

    aken s real

    ntities,

    oes

    hand

    n

    hand with

    distinction

    n

    the

    way hey

    re

    presented.

    s

    Wyclif

    otes

    concerning

    ssential

    redication

    and

    he

    implies

    similar

    oint

    n

    the

    case of formal

    redication),

    hile

    he ame

    essence s

    real)

    ubject

    nd

    predicate,

    heratio

    raedicati

    iffersrom

    he

    ratio

    subiecti55Wyclif position,s so far haracterized,s clearly version fthe

    advanced es

    heory;

    ut here

    re

    everal

    mportant

    espects

    n

    which

    is

    posi-

    tion

    diverges

    rom

    he

    typical

    nominalist)

    ersions f that

    heory.

    turn

    o

    these

    n

    the

    next

    ection.

    49)

    or

    he

    etailsf

    Wyclifs

    heory

    f

    upposition,

    ee

    ogica

    1),

    9-42.

    50)

    Logica

    2),

    5,16-18.

    51)

    ee

    Mueller's

    ntroductiono

    TdU t

    pp.

    xxvii-xxxviii;

    f.N.

    Kretzmann,

    Continua,

    ndi-

    visibles,

    nd

    Change

    n

    Wyclifs

    ogic

    f

    Scripture',

    n

    A.

    Kenny

    ed.),

    Wyclif

    n

    hisTimes

    (Oxford,986),1-65,tpp. 0-1.32)

    ee

    ogica

    2),

    4,30-47,2.

    53)

    'Introduction',

    liii.

    54)

    'Analogy',

    64.

    55)

    TdU,

    8,173-4;

    0,194-7.

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    84 R

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    4 Wyclif's ersion f theAdvancedResTheory

    First,

    lthough

    Wyclif

    official

    osition

    s

    that ccidentals well s

    quiddita-

    tive

    redications,

    hether f theformal r essential

    ort,

    nvolve he ssential

    identity

    f

    real)

    ubject

    nd

    predicate,

    ogether

    ith heir ormal

    istinctness,

    we find hat

    n

    practice

    Wyclif

    ften estrictsis

    attention,

    hen

    onsidering

    combinations f

    essential

    dentity

    nd

    formal

    distinctness,

    o

    identities

    betweenndividuals

    nd

    their

    uidditative

    niversais,

    hat

    s,

    to those niver-

    sais that

    ttach o individualss a condition f

    their

    xistence,

    nd so to the

    genera,pecies, nd differentiaen thecategoryf substancepplyingo the

    individual

    n

    question.56

    Wyclif

    ven uccumbs o a

    temptation

    t

    one or two

    points

    n

    the Tractatus

    de Universalibus

    though

    his s

    certainly

    othis

    onsiderediew nd s

    amply

    contradictedlsewhere

    n

    thetreatise to

    deny

    hat

    ccidents an be res ni-

    versales57He

    also notes

    with

    pproval

    heAristotelianiew

    as

    he construes

    t)

    thatwhile

    n

    per

    e

    that

    s,

    quidditative) redications

    he

    ubject

    s

    identical

    with hat

    hings eing

    idem

    stsubiectumt

    psum

    sse),

    n

    the aseof cciden-

    tal

    predications

    his s not so: so a white

    hing

    album)

    nd

    (its)

    being

    white

    {album sse) this atter eingdentical ith heuniversal hiteness aredis-

    tinctnatures.58

    He

    interprets

    ristotle's

    pparently

    nconsistent

    ronounce-

    ments n the

    relation

    etween

    pecies

    nd

    genera

    n

    the

    ategory

    f

    ubstance,

    on the one

    hand,

    nd

    primary

    ubstances,

    n the

    other,

    s

    anticipating

    is

    own view:

    formally

    uch

    species

    nd

    genera

    re

    distinct rom

    rimary

    ub-

    stances;

    ssentiallyhey

    re

    dentical.)59

    lsewhere

    Wyclif

    dds that heacci-

    dental

    properties

    f a substance re

    consequential pon

    that substances

    essential

    eing,

    nd arenot

    identical ith)

    hat

    ubstance,

    utare ccidental

    modes f

    substance;

    nd

    in an

    argument

    or he

    dentity

    fman

    homo)

    with

    the

    omplexly

    ignifiable

    hat man s{hominemsse), hefact hatneithers

    an accident ftheother

    lays

    n

    important

    ole.60

    56)

    dU

    88,78-89,98;2,163-94,195;

    05,182-90;19,207-10;

    28,70-131,156

    on

    his

    as-

    sage

    ee

    Conti,

    Analogy',

    48-50);

    96,327-36;

    98,390-199,401;

    01,440-57;04,527-37;

    206,585-207,589;

    76,79-277,86.

    57)

    ee

    TdU, 7,140-58,143;8,355;1,138-92,170;18,230-5.

    lsewhere

    yclif

    s

    unequiv-

    ocal hatherere ommonr niversalccidents

    swell

    s

    econdary

    ubstances:

    dU, 44,

    58-

    65; 55,428-32;59,524-260,552;

    71

    800-272,806;

    f.

    Lost

    hapter',

    43; dE, 4,27-59,23.

    AtTdU, 70,755e peaksf heuidditiesf eneratherhanhatf ubstance,n context

    wheret s learhat

    quiddity

    s universal.

    58)

    TdU, 2,48-55.

    f.

    2,59-73,67;21,257-61.

    59)

    TdU, 4,196-96,236.

    60>

    dU

    127,65-128,69;20,221-121,261.

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    85

    However,espite hismarkedendencynthe TractatuseUniversalibuso

    downplay

    he

    dentity

    heory

    f

    predication

    n

    the ase of accidental

    redica-

    tion,

    heofficial

    haracterization

    f

    formal nd essential

    redication,

    ccord-

    ing

    to which

    not

    only

    quidditative

    ut also

    accidental uch

    predications

    involve he essential

    dentity

    but

    formal

    istinctness)

    f

    subject

    nd

    predi-

    cate,

    s

    certainly

    ot n

    oversight

    n

    Wyclif

    part:

    or he laim hat ccidental

    predications

    nvolve n

    essential

    dentity

    f

    subject

    nd

    predicate

    s

    repeated,

    or

    presupposed,

    t a number f

    points

    lsewhere

    n

    histreatise.61

    ut

    t

    would

    appear

    hat

    Wyclif

    preferred

    iew the

    ne that e most

    onsistently

    pplies

    inpractice is that nly uidditativeuchpredicationsnvolve hatdentity.

    The

    second

    respect

    n

    which

    Wyclif

    position

    iverges

    rom

    he tandard

    versions f the dvanced es

    heory

    s that

    Wyclif

    maintains

    self-predication

    thesis

    n

    respect

    f the

    species

    nd

    genera

    hat re

    essentially

    dentical

    with,

    but

    formally

    istinct

    rom,

    he

    ndividuals

    alling

    nder hem:62he

    species

    man,

    which

    ollects ndividual

    men,

    s tself

    aid

    to

    be an

    aggregate

    an.63

    n

    theninth

    hapter

    fthe

    Tractatuse Universalibus

    yclif

    ackles he

    problem

    raised

    y

    the

    Third

    Man

    objection

    o

    self-predication,

    nd claims hat elf-

    predication

    f

    species

    nd

    genera

    oes not

    precipitate

    n

    infinity

    f distinct

    individuals: e

    argues

    hat

    ll

    aggregates

    f

    ndividuals

    n

    the ame

    pecies

    r

    genus

    re themselves

    ndividuals

    n

    the relevant

    pecies

    r

    genus,

    ut claims

    that t is

    unnecessary

    o

    posit

    distinct

    ggregates

    f

    aggregates,

    or

    ny

    uch

    higher-level

    ggregates

    ollapse

    o first-level

    ggregates.

    ence two

    original

    individuals

    n

    a

    species

    two

    men,

    ay)

    generate

    hree esultant

    ndividuals

    n

    that

    pecies

    the

    riginal

    wo

    plus

    he

    ggregate),

    hree

    riginals

    enerate

    even

    resultants,

    nd so

    on,

    according

    o

    the

    principle

    hatn

    individuals

    enerate

    2n

    -

    1

    resultants

    there

    eing

    no

    empty

    esultant).

    iven

    that here

    will

    be

    generics well as specificndividuals, largenumber foriginalndividuals

    will

    obviously

    enerate

    very

    arge

    umber f

    resultant

    ndividuals: ut

    how-

    ever

    arge

    he

    number

    f

    original

    ndividuals,

    s

    long

    s that

    number s finite

    the

    number f

    resultantndividuals ill lso

    be finite.

    In

    the

    ase

    of

    the

    Trin-

    ity,Wyclif

    rgues

    hat here re

    n

    fact

    ight

    esultant

    ntities,

    incehe distin-

    guishes

    he

    Trinity

    aken s an

    aggregate

    rom he

    divine

    ssence,

    nd both f

    these rom he

    three

    ersons

    aken

    everally

    nd

    from he

    aggregate

    airs.)64

    But

    although

    Wyclif

    oes not

    concede hat

    onsiderationsf

    self-predication

    61)

    TdU, 1,138-47;

    7,262-72;32,171-9.

    62)

    TdUy

    91,211-193,266;

    94,289-195,296;25,403-19.

    63)

    See,

    .g.,

    ^,74,88-99;

    40,351-5;

    53,90-154,94;

    57,174-82;

    91,200-193,254.

    641

    dU

    187,107-188,136.

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    generatenfinitiesforiginalnd resultantndividuals,e neverthelessoes

    think hat here

    re infinities

    f

    such

    ndividuals,

    incehe

    claims hat

    ny

    genus

    will

    ontain

    n

    infinity

    f

    pecies,

    o that ven

    ne

    original,

    pecifically

    unique

    ndividual

    Wyclif

    lludes

    o the

    phoenix,

    standard

    xample)

    will

    involve n

    infinity

    fother ndividuals.65

    The third

    espect

    n

    which

    Wyclif

    position iverges

    rom he dvanced es

    theory

    n its standard

    manifestationss this:

    given

    he essential

    dentity

    f

    individuals

    nd

    suitable

    niversais,

    yclif

    s

    prepared

    o

    say

    that ndividuals

    are

    predicable

    f

    many,

    hough

    not

    qua

    individuals,

    nd thatuniversais

    re

    impredicablefmany,hough gainnotqua universais.66urther,universal

    is both

    ssentially

    he ameas an individual

    falling

    nder

    t

    and

    essentially

    different

    rom since

    t s

    essentially

    he ame s other ndividuals

    hat iffer

    essentially

    rom and from ach

    other. here eedbe

    no

    contradiction

    n

    this

    position, rovided

    e nsist

    hat,

    f

    is

    essentially

    ifferentrom

    it

    does

    not

    follow hat is

    not

    essentially

    he same as b' universais

    rovide

    counter-

    instance

    o the

    entailment,

    ince

    they

    re both

    essentially

    he same as and

    essentially

    ifferent

    rom heir

    nstantiating

    ndividuals,

    utwe

    may

    not nfer

    that

    hey

    re,

    bsurdly,

    oth

    ssentially

    he

    ame nd

    not

    essentially

    he

    ame

    as those ndividuals.67

    ndividuals,

    n theother

    and,

    renot

    only ssentially

    different

    rom,

    ut lso

    not

    ssentially

    he

    ame

    s,

    each

    other.68encethe ela-

    tion

    of essential

    dentity,

    hough

    eflexivend

    symmetrical,

    s not transitive.

    (But

    note

    hat

    n

    the

    pecial

    ase

    where

    dentity

    elations

    onnect

    upposita

    the

    relation fessential

    dentity

    s

    transitive.)69

    returno

    this

    oint

    elow.

    Fourthly

    nd

    finally,

    here

    s no

    suggestion

    n

    Wyclif

    treatisen universais

    that elevant

    ssential

    dentities

    erve he

    purpose

    f

    reducing

    omplexlyigni-

    fiables,

    hichwould

    otherwise

    e

    extra-categorial

    ntities,

    o

    non-proposi-

    tionallytructuredntra-categorialndividuals.70his s the most mportant

    point

    n which

    Wyclif approach

    o

    complexlyignifiables

    iffers

    rom tan-

    dard

    nominalist

    ersions

    fthe dvanced

    es

    heory.

    s a staunch ealist bout

    universais,

    nd

    given

    his

    policy

    of

    identifying

    omplexly

    ignifiables

    ith

    appropriate

    niversais,

    yclif

    maintains

    hereal xistence

    f

    complexlyigni-

    fiables

    s

    genuine

    ropositionally

    tructured

    orldly

    ntities.

    f

    any

    reduction

    65)

    TdU

    1

    0,

    8-

    91,198.

    or different

    pproach

    o he Third

    an

    roblem,

    hichenies

    that

    ggregates

    re

    istinct

    romheir

    omponent

    ndividuals,

    ee

    LD

    43,1-45,3.

    66)

    TdU,3,174-94,195.f. 56,142-9.67)

    TdU, 6,243-9.

    68)

    f.

    TdU

    153,90-154,94.

    69)

    Spade,

    Introduction,

    xxviii.

    70)

    f.

    onti,

    Analogy',

    39-40.

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    R. GaskinVivarium

    7

    2009)

    4-96

    87

    were n theoffing,t wouldrather aveto run n thereverse irection. nd

    indeed

    we find hat

    n some

    passages

    n

    the Tractatus

    e Universalibus

    yclif

    follows

    he

    Porphyrian

    nd Boethian radition

    f

    dentifying

    ndividual ub-

    stances ith

    nique

    bundles f ccidentalnd non-accidental

    roperties.71

    n

    that

    pproach,

    he

    fundamental

    ntities

    n

    each of the

    ategories

    illbe uni-

    versais;

    ndividuals

    ill be derived ntities. ut

    then,

    iven

    his dentification

    of universais ith

    complexly

    ignifiables,

    yclif

    mostfundamentalnto-

    logical

    evelwillconsist f

    proposi

    ionally

    tructured

    ntities.

    Now we

    should

    no doubtbe

    wary

    f

    treating

    hese

    assages