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Representations

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Title: Representations


1
Representations
2
  • vast quantity of on-going research dependent
    on Rs on R, no scientist knows how mental Rs
    represent.
  • Representing - relation two things one stands in
    for other. stand-in R (wordspictures)
  • Mental Rs - implemented in brain
  • Implementation Inverse of supervenience Minds
    supervene on brains, brains implement minds
    (Dietrich 2007)
  • Supervenience No mental change without
    physical change

3
  • Wheleer 05
  • Duality mental-physical pp. duality
    subject-object
  • Pr. I of Cartesian psychology (Pr of R) Mind,
    cognition, and intelligence explained in Rs
    (manipulated/transformed)
  • Pr. II Rs and subjectobject dichotomy
    interconnected
  • Rs are context independent

4
  • Principle of explanatory disembodiment
  • (Cartesian psychology)
  • Informational contents carried by bodily
    sensations primitive perceptual states -
    specified in bodily states ? Reliable and
    flexible intelligent action No agents physical
    embodiment off-line cognition
  • Homuncularity is necessary for R

5
  • Contents and vehicles of Rs
  • Contents (meaning) Semantic value of a R
  • Contents determined by object in world, the
    relation among Rs or both
  • Vehicles Syntactic structures or physical
    realisation of objects that play role of Rs
    (carrying a content) (Eliasmith 07)
  • Contents What Rs are Rs of
  • Vehicles Rs themselves (Mandik 2003)

6
  • Format of Rs
  • Propositional (Fodor, Pylyshyn)
  • Image (Metzler, Shepard, Kosslyn) (ex picture,
    maps)
  • Analogous (Mandler, Lakoff, Fauconnier)
  • R Stored information or stands-in for something
  • Function Carry information
  • Conceptual level - Symbolical Rs Static
    discrete ? Computations

7
  • Fodor/Pylyshyn - Correspondence Rs and neural
    patterns - not univocal (Fodor and Pylyshyn 1988)
  • Subconceptual level (connectionism) -
    Subsymbolic or distributed Rs - Content depend
    upon processing network environment
  • Fodor,Pylyshyn Neural level Implemen. of
    conceptual Rs
  • Dynamical ST No Rs/Computations

8
  • Debates R on format or nature
  • Fodor/Pylyshyn
  • Compositionality
  • Productivity
  • Systematicity
  • Smolensky (88)
  • Implicit functional compositionality assure the
    advantages of a compositional structure to the
    brain

9
  • Dietrich and Markman ('03)
  • Cognition Must use discrete Rs
  • Discrete Rs A system have discrete Rs iff
    contains more than one R (discrete and static)
    categorize inputs enviroment ? Semantic memory
  • Discrete Rs Contains more than one R, and Rs -
    bounded and uniquely identifiable ('07)
  • Computationalism vs. dynamical systems approach ?
    Difference discrete-continuous Rs

10
  • 7 reasons for Discrete Rs A cognitive system
    must
  • Discriminate among states in represented world
  • Acces specific properties of Rs
  • Combine Rs
  • Cog systems combinatorial structure
  • Functional role among concepts
  • Have abstractions
  • Have non-nomic Rs

11
  • Image Rs
  • Shepard and Metzler (1971) Kosslyn and Shwartz
    (1977)
  • Skeptical (Pylyshyn 1984, 2002)
  • Numerous computational, psychological, and
    neurological pictures words

12
?
13
  • Verbal description information man in chair
    is close to man with his head open, who is on a
    couch
  • Verbally infer that chair is close to couch.
  • Using pictorial R, however, no inference is
    necessary we can just see that

14
  • Visual Rs - accessible to different kinds of
    computations than verbal Rs
  • 1. Inspect
  • 2. Find
  • 3. Zoom
  • 4. Rotate
  • 5. Transform
  • Finke, Pinker, and Farah (1989) Imagine the
    letter Y. Put a small circle at bottom of it.
    Add a horizontal line halfway up. Now rotate
    figure 180 degrees. (Thagard 05)

15
  • Kossylyn Image Rs (IRs)
  • fMRI
  • Wraga and Kossylyn (2003) MI, 2 meanings
    Seeing with mind eyes internal Rs ?
    Perception without sensory input
  • Mental imageries Transformation/manipulation
  • 1) Scanning (Subject memorizing landmarks from a
    map faster away targets from initial landmark,
    longer took subjects to locate them ? IRs are
    depictive Preserve spatial extend)

16
  • 2) Zooming (to see fine detail from an imaged
    object subject can zoom it - farther away the
    object appears in image, longer it takes to
    report correct answer)
  • 3) Rotation (Shepard et all. - Two multiarmed
    objects, task being if those objects are same or
    not ? Subjects mentally rotated one object into
    alignment with other)
  • Conclusion Internal processes - analogous to
    physical processes

17
  • Damage to occipital lobe impairs visual imagery.
  • fMRI Use of visual mental imagery - same brain
    areas in visual perception
  • Imagery relies on regions of cortex
  • that are spatially organized in ways that
    correspond to structure of retina, networks of
    nerve cells that send impulses to brain. (Thagard
    05, p. 106)

18
  • Areas of brain immediately connected to retina
    spatial organisation Structurally similar to
    that of retina
  • ? Preserve some spatial structure of objects
    presented to retina, their activation during
    imagery suggests that imagery involves
    picture-like Rs
  • Behavioral brain-imaging experts Mathematical
    intuition sometimes depends on visual and spatial
    Rs (Thagard 05)

19
  • Pylyshyn Propositional Rs (PRs)
  • Tacit knowledge of physical laws and objects due
    to previous experience - Less time to rotate a
    longer distance than a shorter one
  • This knowledge - stored in mind as abstract or
    language-like form
  • Today accepted - 2 forms of Rs (Pavio et all
    Imagery and verbal processes, 1971)

20
  • Fodor (2008)
  • Conceptual vs. nonconceptual Rs
  • Propozitional vs image Rs or
  • Discursive vs. Iconic (related to pictorial and
    continuous)
  • Nature of iconic Rs - Not conceptual
  • a R Compositional iff its syntactic structure
    semantic content - determined by syntactic
    structure and semantic content of its constituent
    parts (p. 171)

21
  • Discursive R
  • Every sentence Finite arrangement of
  • constituents that are themselves either
    primitive or complex
  • Each complex constituent is a finite arrangement
    of lexical primitives (words).
  • Lexical primitives have their syntactic and
  • semantic properties intrinsically

22
  • Semantic interpretation of a sentence (of any
    discursive representation) depends on way that
    properties of its lexical primitives
  • interact with properties of its constituent
    structure.

23
  • Iconic Rs (p. 173)
  • Picture principle If P a picture of X, then
    parts of P are pictures of parts of X
  • Pictures differ from sentences icons
  • dont have canonical decompositions into parts
    all the parts of an icon are ipso facto
    constituents (ex. Picture of a person)
  • NO canonical decomposition
  • NO constituent structure
  • Homogeneous (syntactic semantic)

24
  • Discursive Rs (decompose syntactically and
    semantically heterogeneous constituents) ?
    Logical forms
  • Iconic Rs No decomposition ? No logical forms ?
    Iconic symbols cant represent things vs.
    discursive symbols can
  • Ex Propositions - Distinction between
    negative-affirmative, quantified hypothetical
    modal
  • Pictures dont have truth-conditions

25
  • Binding problem (B)
  • Visual information - divided into separate
    processing streams in retina and LGN, but
    reintegrated later (Horst 07, p. 166)
  • We perceive one object (color, shape, etc)
  • but
  • Separate neural areas for color, form, motion.

26
  • Teoria de integrare a trasaturii (Treisman anii
    80 90)
  • Milner (1974), von der Malsburg (1981), Singer
    (90, 00) Binding-by-synchrony
  • Singer (2007) - Primele experimente
  • Coordonarea - prin sincronizarea activitatii
    diferitelor patternuri neuronale (patternurile au
    aceiasi faza a oscilatiilor frecventa fiind de
    40 Hz) ? O singura R a obiectului
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