Dear FIS,
in a parallel chatroom, a discussion has started to evolve around some
concepts of connecting transversal and longitudinal information carrying
capacities of collections of media. I’d like to involve the FIS chatroom in
this debate, specifically as we prepare the written summaries of our
contributions for the special issue edited by Michel Petitjean.
Let me recap the main points that have been raised so far.
I’d be pleased if the similarity – dissimilarity aspect of parts of the
whole could spark your imagination.
Karl
Sept 2, 2004: thanks to an introduction by Aleks Jakulin, I am pleased to
join this group. I am an Austro-Hungarian living in Vienna, working in
statistics, test theory and other fields of psychology.
I'd like to offer you a combinatorical-number theoretical plaything
which is rather off the mainstream. It discusses the dissimilarity of
subsets of sets and ... well, now we would be getting too technical.
If anyone is interested in a funny math tool, please download it from
my (very much neglected) homepage www.enumeration.net under the
title "Possible Uses of Disjunction Operator M". In fact, I was asking
the community whether anyone would endorse this article to arXiv.org.
/Karl
Sept 2, 2004: Karl has quite a bunch of uncommon terminology and missing
definitions but after reading all his papers from www.enumeration.net
almost all became clear [to me]. His style seems to be "as informal
as possible" but the number of concepts he is using is rather small.
As you said before, Karl's box "smells interesting", very interesting
indeed !
/Klaus
Sept 2, 2004: ... he has "only" the numbers 31,
64 and 97. All the rest is derived and extrapolated. And much is in
the form of "this theory COULD be applied here and there and over
there, too). Wrt his .t. and .d. and e.g. .i. (very interesting on
its own, BTW) I wouldn't have understood one word if I hadn't have a
glimpse of model theory (also, knowledge about Tarski's truth
definition etc up to and including Hekin quantifiers and IF
[independent friendly] Logic was of some help [but not required]). I
can imagine that Karl has found a very deep [structural] hole in
model theory, overlooked by the greats for decades!
/Klaus
Sept 3, 2004: ... whether you can predict the
mass and the distance of electrons on a layer by using disjunction-oriented
algorithms alongside the uniformity-oriented algorithms already in usage.
(Don't forget, multiplication has at its roots that all logical expressions
can be reduced to 1+1+1+1...+1 + 1+1+1+1...+1 + etc. So it is a
similarity-based way of recognising the world.)
/Karl
Received on Fri Sep 10 11:14:32 2004
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