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Propositional Signs

Copyright © Heinz Prantner 2007

created: November 23 2007
last updated: May 08 2009

3.41 The propositional signs and the logical coordiantes: that is the logical place.
Ludwig Wittgenstein - Tractatus Logico Philosophicus (3.41)

Introduction

The following is not solving any problem nor does it prove anything, it is rather a collection of free compositions of logigeometrical forms.


The graphics I created with a program I wrote on a macintosh computer with OS X Tiger on Darwin, programming in Objective-C and Cocoa with the the help of Xcode. For learning Cocoa I follow Aaron Hillegass book Cocoa Programming for Mac OS X line by line.

This is work in progress.

References

Problems Description

Reading the sentence from Wittgenstein about logical space brings up several questions:

Real space is structured based on the observer, so we know there is space between us and the object, and the space behind the object is bigger than the space between the object and me. (Likewise is the suffering I do to myself always bigger when sufferings done to others). Real space is relative to the observer. It may even be only an attribute of observation, perception. Yet we think there is only one space shared among all, the observer moves and exists within space. And: every figure simultaneously exists in space and itself contains space (Pia Müller Tamm on Henri Matisse - Figure Color Space, 2006)

In grammar the prepositions help us to denote the relationships and composition of the objects.

In computer science we learn that a computer program deals with data and algorithms for data manipulation and exchange. Logic organizes the data by codes (Morse, Baudet, EBCDIC, ASCII, UNICode, JPEG, MPEG, etcetera) and the algorithms by logical functions (Shift, And, Or, Negate, Compare, Go, Jump, Invert, etcetera).

So we may conclude that logic is useful to help to direct our daily activities. Interesting to notice that the instructions to learn the morse code recommend to work with fast pace so that mind (reason, logic) cannot get the time to build translation tables. We know already from martial arts that as soon as mind and reason gets involved you are dead. Knowledge derived from words has no value, no substance. Does it mean that logic was developed just to run in computer systems but never was meant to be applied for humans? On other hand there is evidence that sensual perception and what feels right cannot be trusted in our daily activities. What feels right and good is in many cases wrong for our organism!

Logic provides the structure for experience. Structure is logic. Structure integrates reason, reflection, experience, bliss and myself. The abstraction holds the world together. Evolution goes from abstraction to phenomen, from logical to real space. Cognition goes from phenomen to abstraction, from real to logical space.

Er schob sich ein Stück Brot mit Käse in den Mund und kaute so lange, bis der Käse wieder zu Milch, bis das Brot wieder zu Getreide wurde. - Davide Longo - Der Steingänger

We may do well without logic as long as we are passive and receiving, then the culture provides us the structures. As soon as we become active in science, arts, society, education we need to have a deep understanding of structure to be able to enable our experience in others. The failures in activities are due to a lack of understanding of structure.

Structure keeps together what belongs together and seperates what is different. Structure emphasises what is important, big and strong, goes from major to minor, from basic to advanced.

The elements are the structure of space. The functions are the structure of time and modify the structure of space, the elements organization.

The following is an attempt to associate elements and functions to various spaces.

spaceelementsfunctions
earth space light
air
water
earth
ether
stability
change
clarity
atomical space positive energy
negative energy
neutral energy
attraction
repulsion
consolidation
molecular space hydrogen
helium
lithium
beryllium
boron
carbon
nitrogen
oxygen
fluorine
neon
sodium
magnesium
aluminium
silicon
phosphorus
sulfur
chlorine
argon potassium
calcium
scandium
titanium
vanadium
chromium
manganese
iron
cobalt
nickel
copper
zinc
gallium
germanium
arsenic
selenium
bromine
krypton
rubidium
strontium
yttrium
zirconium
niobium
molybdenum
technetium
ruthenium
rhodium
palladium
silver
cadmium
indium
tin
antimony
tellurium
iodine
xenon
caesium
barium
lutetium
hafnium
tantalum
tungsten
rhenium
osnium
irdium
platinum
binding (interacting selectively with)
catalysis (reaction catalyzed by enzym)
reception (initiate a change in cell state)
transport (direct movement into, out of, within, between cells)
cellular space   nutrition
excretion
information input
information output
strengthen
soften
abdominal space stomach
lever
kidneys
spleen
bile
bladder
intestine
pancreas
ovary
uterus
prostate
digest
excrete
give birth
chest space heart
lung
circulation
respiration
skull space mind
ears
eyes
nose
mouth, tongue, vocal cords
reason
refelection
bliss
ego
hearing
seeing
smelling
tasting
biting
speaking
singing
ego space roles
concepts
rituals
ambitions
aversions
desires
fears
planning
worrying
dramatizing
justifying
doubting
condemning
mathematical space numbers add
remove
relate
repeat
grammatical space subject
object
verb
adjective
preposition
local
causal
modal
temporal
geometrical space point
line
triangle
rectangle
parallelogram
trapzoid
circle
ellipse
pentagon
hexagon
octagon
polygon
cylinder
cube
pyramide
sphere
cone
asymptotes
sine
cosine
tangent
cosecant
secant
cotangen
periodic
logical space data, information count
invert
negate
shift
compare
go
jump
increment
decrement
and
or
emotional space anger
fear
worry
aversion
calmity
joy
heroism
wonder
erotic
suppression
expression
reflection
physical manifestation
art space prose (drama,mythos)
poetry (wesenheit)
abstraction, analysis
disegno, concetto (design, drawing, concept)
misura (composition, implementation)
giudizio (Urteilskraft, judgement)
ingegno (talent)
universal space content of mind, form experience

Vectors

Each sign is a vector in logical space

A vector starts off from current position and points to a new location.

vector pointing to character a 30 degrees away from north

carriers of signs

context of signs

motivation of signs

Enumeration of Vectors



enumeration of the letters of the alphabet starting with a at 0 and then going clockwise by 12 degrees in the order of the alphabet.



a variation of the enumeration of the letters of the alphabet (the distribution of the letters is influenced by the morse code).


Addition of Vectors


taka demi taka janu
heinzprantner
aum



julia kissina
heinz prantner
juri



julia kissina
heinz prantner
juri
with different abc code



north, east, south, west
norden, osten, süden, westen



up, down, left, right
oben, unten, links, rechts



good, bad
gut, schlecht



black and white



yes yes no no no yes yes yes yes no no no yes yes yes yes no no no yes yes yes yes no no no yes yes



up and down or left and right



kan ji zai bo satsu. gyo jin han nya ha ra mi ta ji.




kan ji zai bo satsu. gyo jin han nya ha ra mi ta ji.




kan ji zai bo satsu with morse code


Forking of Vectors

Consider a computer algorithm which has to connect to a remote service based on local user requests, by using local and network resources to get there. The variables influencing the behavior are as follows:

The following procedures apply:





tree of morse signs dit and dah.

States of Vectors

Associations of Vectors