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P00a0900
Pavel Ivanov, Russia
P00b1200
P00b1202
P00b1400
Relation to relativistic velocity addition. The Hamacher class operations
with g = 2 are physically inconsistent
since they combine Galilean and Lorentzian velocity addition.
P00b1401
P00b1402
S00b1500
Requires: any IBM compatible personal computer, EGA/VGA, MS DOS 3.x+
N00c0800
S00h2500
Requires: any IBM compatible personal computer, MS DOS 3.x+
P00i1400
Varadaraja V. Raman, Rochester, UK
S00j0700
I've sketched a hypercube in 4 dimensions that represents implicational validities
among propositions in terms of 2 propositional variables X and Y.
The interpretation of symbols employed should be relatively straightforward,
given that any operator represents application of that operator to the tupple
(X, Y).
S00j0701
Niek Sprakel, Utrecht, Netherlands
S00k1100
P01a0300
N01c0200
The both assumptions may be invalid in a particular situation.
The stronly coupled systems may exhibit collective behavior and development,
and it is this collective behavior that must be described, rather than
particular structures (which may be essentially not unique).
In the strongly interacting system, an object may mutate after
the interaction with another object, remaining essentially the same,
so that the object cannot be described by a static type, class etc.
A new language is required to deal with such general cases.
The basic idea will be to make the language absolutely reflexive,
so that any construction could be treated as object, class, or metaclass
in different aspects. The limit of weak coupling can be assotiated
with the internal regions of the regular flows, while the weak
interaction between the objects will arise from a small level of mixing
present.
P01e2500
P01f1500
P01f2800
P.B.Ivanov and E.N.Sidorkina
P01g1100
P01g1101
Interactive perception of art as a means of self-regulation and
fighting stress. Active co-creation, uniting the efforts of
professional artists and scientists, as well as ordinary people.
Extended meditation. Using the Internet for creativity training.
Guy Levrier, France
Logic as a level of creativity. Levels of logic:
Logic and culture. Discreteness and continuity. Logical scheme generation.
Basic schemes: monads, dyads, triads, tetrads.
Triads and development.
English; PDF
Fuzzy set intersection
i(a,b) = ab/(1-a-b+2ab)
and complement c(a) = 1-a satisfy the respective
axiomatic skeletons. The union operation obtained from them using DeMorgan's
laws coincides with the intersection, thus violating the boundary conditions
for the fuzzy set union and fundamental inequalities.
English; MS Word'97
English; PDF
Simple DOS program generating moving screen patterns in EGA/VGA graphic
modes. The parameters may be varied to produce very different pictures,
from regular to chaotic. The program can be used in psychotherapy, or
for entertainment, or as a screensaver for Windows.
Classical propositional logic and set theory are known to be two
instances of Boolean algebra, so that set union corresponds to logical
or, while set intersection corresponds to logical and.
However, this does not reflect the logical structure of set theory.
Thus, any set may be considered as the union of one-element sets,
the sense of this representation depending on interpretation:
Enhanced transliteration program: any character sequence in a source file
replaced with any other sequence of bytes, according to an external translation
table. Working under MS DOS, or as a DOS application under Windows.
Some light is shed on the question of consciousness and science when the
notion of levels of reality is introduced. This paper shows that the
idea of levels of reality which arises from quantum physics may be extended to
include a third level in which chaos comes into play.
A hypercube in D dimensions has 2D points and every point
is connected to D other points. The powerset of a set of cardinality C
has 2C elements. Points in the hypercube can be thought of as elements of
the powerset of a given set. Lines in that hypercube can be interpreted as
subset-relationships. Moreover, if D = 2V for some V,
we can interpret points in the hypercube in D dimensions in correspondence with
propositions in terms of V propositional variables.
GIF image
Set-theoretic interpretation corresponding to the symbolic
interpretation for all propositions in terms of two propositional
variables X and Y.
GIF image
Turkish TrueType fonts: Times, Arial, Courier.
A possible computer application to perform visual music.
Based on the pitch-angle correspondence established in theory.
Two assumptions of object-oriented programming:
Three styles of reasoning: syncretic (intuitive), analytical (discoursive)
and synthetic (productive). Aspects of a single mental act, stages of
social and individual development.
Universalily of mental operation vs. sequential or parallel processing.
Distributed mind, conscious activity and the patterns of neural
processes in multiple brains.
The integrity of the Universe as a consequence of interconnectedness
of the stellar cores via quantum correlations between quarks and
leptons, which can be treated as essentially nonlocal objects.
Correlations in stellar evolution. Life and reason as collective
states of gauge fields.
Space and time as universal forms of motion must be reflected in
the forms of human reasoning. Expansion and serialization as
two logical paradigms combined in any discourse. Topology and
geometry of the inference space may be different in different sciences.
Singularities in the inference space and the corresponding phase
space. Negation. Completeness. Logical loops. Actual vs. potential
infinity.
English; MS Word 6.0