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About mathematical psychologists that draw water in a sieve
Possessed of the higher mathematics for the describing of the psychical reality, how high they fly, how high is the flight of their thoughts!
The success of the higher mathematics in the psychical phenomena describing is obvious - the subject is completely lost. The psychological mathematical schools (especially Irvin) are up to the clouds of the mathematical abstractions and they don't feel the sure ground of the psychical reality under their feet, they create the pure mathematics.
Professors who pretend to do mathematical describing of faith and who can not describe the current moment of the real life of any person - that is the shame of pointlessness theories, the emberass of the abstractions, higher mathematics that is torn from the psychical reality. Scientific creative work within the far-fetched sad reality of the mathematical psychology, which is torn from the subject it describes - from the psychics. That is a very delicate self-delusion. It's time to raise questions about the direction and the temporal constituent of their cognitive requirements, what is being looking for, the truth or something else.
Either I'll have to spread somebody all over the wall with the fresh theoretical flow, or somebody will make meal of me with the mathematical millstones, or both of us will be crushed with the Everests of the experimental data and will soundless babble, or we'll rise together to the mathematical formulations of psychological laws.
There are a lot of problems, and here is one of them. That is the problem of the description of two wave equations of the four dimensional space with the help of system.
Here is one of simple problems: beginning and end conditions are: One individuum. Two requirements of the individuum with the different beginnings of their development in the scale of the objective time, it means, one is couted before the other. Moreover, the differ in their temporal constituent independent on the moment of their coming into existence.
C ti not equal Ctk
here Cti is the temporal constant of the i - requirement
Ctk is the temporal constant of the k - requirement.
For the subject constituents of these requirements:
C subi not equal Csubk
here Csubi is the subject constant of the i - requirement
and Csubk is the subject constant of the k - requirement.
Instead of i and k we can put every requirement, for instance:
i - bread, k - show
i - sex, k - instinct of self-preservation
On the common life level for the requirement of the food it sounds so: "I want to eat now" or "It's time for lunch" or "my lunch is at 12 as usual"
The subjective time flows from the moment the requirement comes into existence till its satisfaction. At the moment when one gets the subject of requirement a person gets out of this subjective time and continues to live within another subjective time of another requirement.
0 < ti < Cti
Here:
ti - is the current moment of the subjective time of the i - requirement
We go on. At ti moment a person can get something (a subject) for his requirement of Csubi
Let's mark this "something" as m
Ratio mi / Csubi = h
Ratio ti / Cti = K
Psychical content of the ratio h / k is the speed of the requirement subject moving towards the subjective constants of the requirement, i.e. towards the requirement itself.
The first requirement appeared in the conscious at the moment ti1, for second time - at the moment ti2.
The second requirement - at the moments tk1 and tk2..
h i1 / ki1 = Li1 / (1 -Ki1)
or
h i1 Li1 hi2 Li2
--- = ----------- and ---- = -----------
k i1 (1- ki1) ki2 (1-ki2)
( L is lambda).
That is for the first requirement.
Here:
1 / (1 - K) - is the frequency of the subjective time.
For the second requirement K:
h k1 Lk1 hk2 Lk2
--- = ---------- and --- = -----------
k k1 (1- kk1) kk2 (1-kk2)
Let us accept, that ti1 and tk2 differ from each other on the scale of the objective time not very much. Actually, this acception is true. A person thought that he wanted to eat, and gets from the TV a part (m) of his informational requirement.
Here is the equations system that must be solved and filled with the content:
| { |
hi1 Li1
--- = ---------
ki1 (1- ki1)
|
h k1 Lk1
--- = ----------
k k1 (1- kk1)
|
We have got also the equations system for the moments tk2 and ti2.
All mathematical calculations and demonstrations naturally must to be realized in the experimental psychology, must have prediction result as every theoretical discipline.
Here is a ner problem for mathematics.
Conditions: two individuums To make easier, they both have the same subject requirements, but with different temporal constituents.
Let's make mathematics more alive: let's assume that this requirement is a sexual one, but with different times of coming into existence. He has got a week long abstention, she is satisfied every day.
t 1 = 168 hours
t2 = 0
then
t1= 170 hours m1 = 0
t2 = 2 hours m2 = 0
And then - what will happen by t1 = 192 hours and t2 = 24 hours.
What will happen in the real life, when they have made a date. How does the time flow for the two persons in these cases? Who is more in a hurry? How strong does the time metric of their semantic spaces change? How do the values shift in the personal consciouses? There are a lot of questions we could mathematically answer.
There are a lot of problems in theoretical psychology but only mathematical psychology can help psychology to become theoretical.
Mannheim - Bad Rippoldsau Deutschland
(C)Copyright A. Pestov
PS Later it will be proposed the demonstration of the application the numerical raw (elementary mathematics) notion to the psychology knowledge
http://www.ap.org.ru/
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