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)
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.
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.
|atomical space||positive energy
|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)
mouth, tongue, vocal cords
|logical space||data, information||count
|art space||prose (drama,mythos)
disegno, concetto (design, drawing, concept)
misura (composition, implementation)
giudizio (Urteilskraft, judgement)
|universal space||content of mind, form||experience|
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 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).
taka demi taka janu
with different abc code
north, east, south, west
norden, osten, süden, westen
up, down, left, right
oben, unten, links, rechts
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
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.