[comp.ai.digest] physical invertibility and symbol grounding

cugini@ICST-ECF.ARPA.UUCP (06/02/87)

S. Harnad writes:

> Now I conjecture that it is this physical invertibility -- the possibility
> of recovering all the original information -- that may be critical in
> cognitive representations. I agree that there may be information loss in
> A/A transformations (e.g., smoothing, blurring or loss of some
> dimensions of variation), but then the image is simply *not analog in
> the properties that have been lost*! It is only an analog of what it
> preserves, not what it fails to preserve.....
>
> A strong motivation for giving invertibility a central role in
> cognitive representations has to do with the second stage of A/D
> conversion: symbolization. The "symbol grounding problem" that has
> been under discussion here concerns the fact that symbol systems
> depend for their "meanings" on only one of two possibilities: One is
> an interpretation supplied by human users -- "`Squiggle' means `animal' and
> `Squoggle' means `has four legs'" -- and the other is a physical, causal
> connection with the objects to which the symbols refer. ....
>  
> The reason the invertibility must be physical rather than merely
> formal or conceptual is to make sure the system is grounded rather
> than hanging by a skyhook from people's mental interpretations.

I wonder why the grounding is to depend on invertibility rather than
causation and/or resemblance?  Isn't it true that physically distinct
kinds of light (eg. #1 red-wavelength and green-wavelength vs.
#2 yellow-wavelength) can cause completely indistinguishable
sensations (ie subjective yellow)?  Is this not, then, a non-invertible,
but nonetheless grounded sensation?  When I experience something as
yellow, I have no way short of spectroscopy of knowing what the 
"real" physical characteristics are of the light.  Nonetheless,
I know what "yellow" means, as do young children, scientifically
naive people, etc.

I don't have a ready-made candidate to substitute for invertibility as a
basis for symbol-grounding, although I suspect, as mentioned above,
that causation and resemblance are lurking around somewhere.  
But how can invertibility serve if in fact our sensations are, in general,
not invertible?

John Cugini <Cugini@icst-ecf.arpa>
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