Skip to main content

Vector Calculus of Exploration, Mathematical Language And Human Thought

Design: All the related thoughts have been put into a relevant category name, to have compressed view and more focus on the thoughts given in it. To have more compressed view, only thought groups names, with their links for the expansion was thought of including in this same page. As it is difficult to scroll down to the relevant thought group and then edit it, a link to the complete new page containing thoughts has been given, instead of a link to the thought group within the page itself.   
 
Expression   
 
Need Of Proto-Stages:
If every thought represents objects and their conformations in reality (including that of human's inner conformational experience like belief, sadness, or senses), then every thought even that of Quantum Mechanics seems to be able to stand independent of any other previous ones which lead to it, thus may be self contained. (B5P66, 27/07/2016, Clarification required)
If dictionaries can translate science sounds/words into reality, would there be any need of evolutionary studies? (13/4/17)

If every thought is self-contained I.e. if they can stand independently, can they be arrived without any proto-stages from which they had evolved, provided the fresher is given with all the reality situation with objects representing the conformations presented in the statement? For example, can a fresher directly arrive at the equation $E = mc^2$ with the context, if all the objects involved in the context and equation is confronted by the subject without any knowledge of the evolutionary stages involved in the original production of the same equation and context? (B5P66, 27/06/2016, Clarification required)

Doesn’t a random start often have a structure, with no desired customization (need structure) and with no proto-stages? (Clarification required, 31/3/17)

Related: How to “read” Schrodinger’s equation?
Links: Evolutionary system;

Measurement Of Thought Quality| 28/3/17/p1: Nothing yet…
Links| Explore in the ways of the principles used for highlighting (28/3/17/p2)

[Gen] Library Of Sounds And The Actions/Conformations Which They Are Representing| 28/2/17: Nothing yet… 
 
Depth Of Exploration| 28/2/17:
Do explorations to be covered keep on increasing with the increase in time I give to them?  
 
Experience and its abstract analysis:  
Converting Language Representation Of The Reality Into Reality| < 29/1/17: Are images represented in language continuous? (< 29/1/17)     
It seems that experience has been taken as the base in language, every elemental sound seems to correspond to experience without going down to take reference of another word/sound. (28/1/17)
 
Miscellaneous| Experience seems to correspond reality to a great degree. The abstraction analysis from the experience seems to involve bias, either from assumptions one makes, or from his/her ignorance, or from the unresolved background problems or from the deficiency of data--viz. from the wrong analysis. (B6P25, 05/07/2016)

Where Analysis seems to fail is in when it makes out faulty deductions or abstractions from the experience which is not made explicit every time, this does also make its verification and use difficult. Sometimes, the only one with the experience missing, might be able to understand it. (B6P25, 05/07/2016)
 
[Gen] Outcome of Analysis seems to be variant with experience as every time one is always ignorant of experiences (Is it? How do you make it near-updated?), but the reality experience seems to be invariant. It seems as if we should never make decisions or analysis, because of we being always ignorant. (B5P72, 11/07/2016)

[Exp: Huygens' Wave Theory, Schrodinger's wave packet introduction] Physics seems to use logical fictional possibilities for the explanation of the reality which can't be seen but can be put into harmony with the end measurements. (B5P73, 11/07/2016)

Analysis seems to involve the ability of matching, finding relations of the experiences which are physically sensed by humans. (B6P31, 12/06/2016)
Standards of matching and finding relations seems to vary on the human considered. (B6P31, 12/06/2016)
It seems that some of the thoughts are arrived by matching/relating/connecting many experiences; but they are always not expressed with the thought either in written or spoken transmission. (15/07/2016)
Without experience behind the thought, it seems difficult to verify the thought or even to identify the context from which it is deduced. (15/07/2016)

Arriving at thoughts via own experience seems to involve the advantage of using the same experience for other purposes. (B5P26, 16/07/2016, Logical Possibility)
Thought expression seems to be deficient of senses which one experiences practically. (B5P26)
In practical experience, we may not focus on certain parts of the sensed world, but the thought expression of others/ours make one to focus on certain parts. (B5P27, 17/07/2016, Logical possibility)

We should track assumptions in every thought, every assumption seems to make the thought narrow than broad. (B5P40, 17/07/2016)
We seem to translate every sound (word/language) to corresponding other known sounds, instead of translating to the origin--reality picture. (B5P40, 17/07/2016)

Most thought expressions seems to express only logical possibility without any real experience backing them up. (B5P40, 17/07/2016)

As like Math is said to be general and logic in pure with reality as one of its case, thought also seems to be the same due to its assumption tool. (<19/07/2016)

Thought| As assumptions make any thought a logical possibility irrespective of it being followed in reality or not, it seems thought also to be an experience which may or may not correspond to reality. But, we may use thought to create generality of all logical possibilities and make a math/algebra out of it. (19/07/2016)
Supports| From IEP: Willard Van Orman Quine, Philosophy of Science, "Philosophy is often depicted as providing a set of general conditions that somehow support or validate the various claims made in the formal and empirical sciences.."  (01/08/2016)
Books might help in knowing the more effective exploratory way related to reality, I.e. books written on a particular topic might provide more empirical evidence related to a exploratory way to confirm the specific case to hold in reality. (20/08/2016)

Thought (T)| When experience behind a deduction is not given, it seems imagination can try to take the place of it. But, there seems to also exist thoughts whose experience behind seems difficult to be imagined, e.g. Math equations, Quantum Mechanics and other such higher order abstract theory thoughts. (25/08/2016)  
Experience (E)| From Ronald S.Calinger's Leonhard Euler: Mathematical Genius in the Enlightment : "In 1727, the year Euler left, Basel was a damp and misty city at the farthest point of navigation on the Rhine....In Europe urban population growth usually depended upon immigration..." Here one can imagine the experience of immigration--people's movement, and that of Basel city, even without having its experience. (25/08/2016)  

Thoughts seems to express reality in a discontinuous way, most of the time shifting from one scene to another. Does this have any problem associated with it? Or is it advantageous? (25/08/2016)

Random experience experienced in one's movement in life, seems to be slow in bringing any changes from it, whereas the random experiences in thought form given in a book on a subject at a fast pace seems to be move effective. (27/08/216)

Some elements of reality seems to get focused to a greater extent in thought among many other parts. What determines the intensity of parts/elements getting focused? (25/08/2016)

Quantum Mechanics seems to be a set of indirect thoughts making the picture of an atom. One observation making a piece of the structure, other making up the other piece, and so on. (30/08/2016) 

Most of the insights from book might contain hidden experiences--from which the considered can be said to have got abstracted from. This backward experience if one doesn't have, might cause difficulty in reading. (21/06/2016)   
Try differentiating artificial and natural experiences. (25/06/2016)

I seem to be having experience from models around me, whose working I don't know. You can also that the gadgets like capacitor, transistors, etc are like the same models, about whose working  I don't know. (B[ook]11P[age]46, 25/09/16)

Automated Conformation Creation| Is thinking involuntary? It seems to be a semi-involuntary process. It seems to be a type of thinking, in which the process of conceiving conformations is made involuntary. 
Exp: From NY Times, The Benzene Ring Dream Analysis:
The first historical mention of the snake dream appears to have been by Kekule himself, in an extemporaneous speech at a benzene symposium in 1890. In this speech, Dr. Wotiz said, Kekule recounted a dream he had had in the winter of 1861-62 while dozing in front of a fire in Ghent, Belgium, where he was a professor of chemistry. The dream was that of the self-devouring snake, which, Kekule said, led him to the benzene ring.
Structure of Human Thought: T| Each abstract thought seems to require certain number of experiences to translate them back to correspond reality or its edited version. For example any math equation is a thought which can be translated to correspond to reality by using lot of experiences (?). (B5P66, 31/07/2016)

Expressing the InExpressible: Is there any alternative if one doesn't find a word for expressing a situation? Yes, don't you think analogies can help here? (01/06/2016)
One with large vocabulary seems to have lot experience. (03/06/2016)
Weakening of thoughts or inexpress-ability of experience might be sometimes due to fragility of vocabulary. (16/06/2016)

Problems of Intellectual Exploration: I see that some of them meet the easy way of accepting a notion by a tricky connection and others find a difficult way of acceptance. Sometimes, the former one might be accepting through a shallow unverified reasoning. (18/06/2016)

Analogies: Use analogies to make progress in any thinking, but never use it for reasoning. (<29/05/2016)
Comparison of instances seems to be valuable. If one sees an instance of a problem, which one feels in another, one can reflect on whether he himself is suffering the same problem from ignorance. (29/05/2016)
What are the elements of Analogies? Consider the analogy, Aeroplane being not present in the past was the fact then, but it doesn't mean to remain as the fact later, similarly everyone's death is a fact now, but it may not be in future. What are the elements here? Conformations? (23/1/17)
False Results From Analogies| < 22/1/17: Exploration Notion (EN)| Sometimes supporting analogy seems to become anti after it has been again explored by the opposer. (23/1/17)

Abstraction: Words you, that, there seems to be a bit abstract (general). (30/05/2016)
Symbolizing the abstraction seems to ease the exploration in a great way by reducing the resistance for continuation. (28/05/2016)
Even if abstracted, it seems important that the abstraction to give more details on its origin if one seeks it. (31/05/2016)
While abstracting, create symbolic generalities which applies to everything and the ones with elements having relation among themselves--that is what we can say as taking abstraction to a mathematical level. (16/06/2016)
It seems better to abstract/categorize on the main purpose rather than narrowing down to different data received, as this helps to remind and club together the main purpose. (B1, 26/06/2016)
At first reality seems to have given abstraction, where reality was conceived first before abstraction, thus abstraction was derived from reality. Here reality seems to have been in ample quantity. But when abstraction is in ample quantity it seems to show hidden reality, for example complex numbers (?). (B5, 03/07/2016)
 
Accurate language| 02/11/16: By using all the stages of thinking, at last, I should try having a system of words which I mean with greater clarity and accuracy. (B[ook]11P[age]80, 02/11/16)
 
Creation of Math: If I can understand on how math gets created I may have chance of creating math out of every abstraction. I may even have chance of replacing the analogy as exploratory device with math model. (15/06/2016)

Someone having not explored on a particular way doesn't mean one to be there in stable state. Does it make one stable?

Testing The Limits of Ones Exploration Via Intense Exploratory Check| 03/1/17: Nothing yet...

Mixed Language Sounds With One Notation | < 3/1/17: Nothing yet...

Transparent Exploratory Edge Progress | < 3/1/17: Nothing yet...

Do exploratory ways help in exploring the logically known but not experienced paths?   

Processing of Meanings | 27/12/17: Are meanings of the words processed without comparing them with tactile analogies? (clarification needed)

Comments

Popular posts from this blog