challenge, over and out.

[From Bill Powers (960625.2115 MDT)]

Martin Taylor 960625 17:10 --

     I see the challenge, but just as Rick is puzzled as to the intent
     of my newly proposed quantized-bang-bang-probabilistic-perceptual-
     function simulation, so I am puzzled as to the intent of you
     old/new challenge. Could you elucidate? The only condition in
     which I could imagine Condition 1 as improving on condition 3 is if
     T incorporated some known time-delay, or D had a predictable
     waveform, in which case R might use some of Hans's model-based
     techniques in condition 1. And condition 2 leads to an indefinite
     runaway uncertainty at R about the value of E, so it is a useless
     participant in the challenge.

Well, you have issued forth about a dozen paragraphs of words, and still
haven't taken up the challenge. Your words mean nothing. What is
required is an analytical demonstration that what you say in English is
true about each proposed system. This is generally done by setting up
definitions in mathematical form, and deriving by rigorous means the
analysis that is called for. You have emitted a lot of words, but you
haven't said anything. You have conjectured about what an analyst might
do, but you haven't done it. You are simply avoiding getting down to the
actual proof of what you say. I suspect that this is because you can't
provide it. And if you can't provide it, you don't know what you're
talking about.

Sorry. I'm out of this.

···

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Best of something or other,

Bill.