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ALine

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Everything posted by ALine

  1. wow, this is awesome! from my understanding it looks like a solid grounding for a project like this. I will need to read over your post in more detail to gain deeper understanding thought. Some stuff to unpack
  2. Oh how I wish to defeat this demon of laziness. The bias of the mind which prevents me from seeing the beauty of the world. That inner that says, "you do not need to learn, for it is the games of those more keen to it than you. Sleep for all of eternity. rest now child for it is meant only for those chosen to defy god. To pluck from his apple of reason. You wish not to defy the infinitely all knowable do you." Oh but I do, I wish to grasp the apple and bite at its core. To give up my mere existence to view the world as not just sheets of paper but as intricate systems, oozing with the beyond infinitely unknowable. I will not listen to you demon or angel or whatever creature you may claim to be from some delusion of myself and of man. For I know that in any sense I will die. And even if I die, I would prefer to look onto the world laying on my back resting upon the shoulders of giants than sit atop a tower of my own mere delusion.

  3. ok cool! have taken a taken a look at learned some cool stuff, like did not know about the Pythagorean theorem being so widely used and it being one of the only ones to be so widely used. It gives me the impression that math is more of an artform with accidental applicable properties.
  4. Mathematics is the sheet upon which any universe may be displayed.

  5. looking back at the image ghideon linked I am thinking that this should be a tiled mapping which does not incorporate the progression of time. Also I am thinking that categories are still present, however not in as a distinct form. I feel as if listing different areas of mathematics takes away from the blended nature of it, showing the intrinsic beauty which can be found from the flowing of concepts together. The tiling suggestion is still a good method of interrelating mathematical concepts together, however I would also like to see where one thing connects to another instead of leaving just a void for the viewers mind to wonder what could be in that space. I am also thinking about looking back at previous research papers in the fields of mathematics as far back as I can find in order to see if I can find the different connections that I mentioned seeing that these are the origins of the concepts.
  6. I have thought about it for a little bit, mathematical notation and symbols, and have come to the conclusion that they seem as if they extend very much into multiple different fields of study. Encompassing even outside of mathematics such as in physics and the other sciences. I remember reading that mathematics is a science in and of itself, however I would need to preform more research on that one. Symbols, in my opinion, are conceptual representations of some physical or virtual object which expresses some given action or process maybe. In terms of mathematics, because it is a pattern defining field of study it would make sense that it would utilize patterns more often then not. So maybe mathematical notation is itself pattern connections to form more pattern connections to develop entirely new "universes" from simple rules and behaviors. However very much unsure as this is just my thoughts without much research.
  7. I will do some research and think it over, thank you for taking the time to assist.
  8. Apologies for the delay, I think that it is a good idea. It would reduce the amount of complexity and work required to make this thing. Thinking about the project now I am probably going to start off by creating a layman's mapping based on what I currently know then expand it with the help of others as I mature my knowledge in mathematics.
  9. Oh, oh god. I am stupid. I thought you meant that there was an image CALLED Ghideon. I was googling there for about 30 minutes. My bad Ghideon.
  10. yeah same, I am actually pretty apprehensive about it to be honest, was thinking this would be like a start of something that would take a long time to develop over my career as a future mathematician. As I learn about the different fields of study in mathematics I would add to it and what not. Like a pet project to share with the community that the community can take part in. This is something that speaks to me on an analogous "spiritual level" so to speak. That supporting subject thing always gets to me. Like when you learn one thing then realize that there is something always underneath it so you have to keep trying to find the bottom of it, but always appear to be exactly where you last left off. Sorry about not responding to this comment sooner. I was not really sure what you mean by tiling, would it be possible to provide some sort of graphic or further explanation? Also was never able to find the Ghideon picture so I guess no plus one I will try again in a second though.
  11. S1: Ye, my professor talked about him during lecture last semester. Also heard that he went insane trying it. Do not know if it is true or not, could not find any reference to hospitalization in the wiki. Only said that the axiomatization of Mathematics was being continuously revised by him to the 7th edition until his death I read. What I am wanting to do is use the existing axioms and theorems out there and show the connections between them through their uses. From that I am wanting to show the arising fields of study which emerge from those said connections. Like an every building tower using existing theorems as the building blocks and proofs as the glue analogously. Ex: algebra is a set of processes which come with certain defined rule or processes. Because of this the field of algebra may not be that large. Just a repeating of those said rules or processes in order to solve given problems. I do not wish to capture a theorems application however. I wish to capture its formation only so that connective holes can be seen by those who do not really have a relatively large understanding of mathematics "like myself" in there own knowledge of mathematics as a whole. p.s. I think I used that example totally wrong. p.s.s this explanation feels under developed so I will be working on it more and more as this thread progresses.
  12. Starting off I was thinking about having this mapping be in a sort of having the propositions and then showing the definitions used to build up to those propositions like so... Where all of the different definitions, axioms, and propositions are all connected in a progressive like fashion. Visualizing the definitions and proofs together. This however will most likely change due to inaccuracies. maybe something more like this
  13. thank you for the resource! tried to find it and could not. (image source: https://ytmnd-fads.fandom.com/wiki/Noooooo!) But I was kind of thinking more of a "theory and definition relationship mapping" kind of thing. Where It shows the interconnected nature of different existing definitions and theory's. That is very impressive though, need to take a closer look at it.
  14. Apologies for not being specific enough. Analogously, you know how there exists a blueprint and design for a car, and all you have to do is follow it in order to build that said car? And in the design process there are prototypes which have been tested and failed to pass the test? That idea, but with all of mathematics that is currently known. Essentially a mapped out manual for all of mathematics. This however is an analogy only to transfer a idea abstractly. I can try and convey the idea for concretely, however it would take a little bit. Ye, I have already taken a look at it and it shows how all of the fields are related together in categorically. I was thinking something more like an overall "process." Like writing an sharing a program, but instead of programs its theorems and proofs.
  15. I want this thread to be an attempt to create a generalized overall mapping of mathematics as we know it at this current time. Its basis is that all models developed by a human is itself a model, therefore I do not want to delve to deeply into the philosophy of the subject matter, whereas I would like for this to be an overall model of existing mathematics from beginner to expert levels all explained and viewed as a general "mapping." Showing the interconnections between all of the different mathematical concepts formed which have been agreed upon. Showing all the twists and turns, all the connections, all of the branches that lead to no where. This is a big project, I am not blind to that. However I believe that providing an overall visual mapping of mathematics as a whole will allow for a sort of "key" for future persons, a minute or a millennia away, to quickly and easily view the processes that exist so that they themselves can go back and see the holes in their knowledge. While also quite possibly coming up with new ideas and adding to the overall mapping of the analogous "cinematics math's universe." The goal of this project is for anyone, anywhere, at anytime to be able to learn all of mathematics in a minute. To be able to master it and contribute to it in a matter of moments. I would also like for this to grow into something more, one in which instead of conceptualizing the concept of mathematics and guessing what exists based on a developed mental mapping, there is one that actually exists. Where you can add your own name to. Like a gigantic tree of knowledge or something. Thank you for your time
  16. I want to attempt to try and create a generalized mapping of mathematics based upon my current knowledge of mathematics. I will be creating a thread of this after this post, this is just a little heads up. Please feel free to add to it or expand it in any way. I want to make it as detailed and as translatable as possible so that anyone can understand it. Going from beginner to expert in a matter of minutes. That is the overall goal of this project. I have probably thousands upon billions of holes in my knowledge when it comes to the math's, however I want to at least try to gain a more "graphic" and visual understanding of all of the intrinsic connections and flows that mathematics as a field has while also sharing that knowledge with others so that they can also gain a deeper understanding as well. 

    Thank you for reading.

  17. Also how does this concept of information directly relate to that of data in terms of computer science?
  18. So from a mathematical perspective, is it the probability function itself or a value that the probability function takes "on" analogously? I remember seeing Y and X in a intro to statistics course last semester and seeing that the probability of a given event space is a function from the events space to I believe the probability variables. Not entirely sure. Also I do not believe that I fully understand what a random variable actually "is" so I'm gonna revisit that real quick, also thank you for answering my question and also having it lead to more questions.
  19. I was studying some computer science concepts when I realized that I am missing some key fundamental understanding. I am not entirely sure what other ones are, but one concept that I am sure that I am having problems with is information. What exactly is information conceptually? Is it a pattern of behavior? Is it the classification of some signal making it useful to some system? Once I understand this I believe that I can understand data and thus more built to programming and computer science concepts. Thank for all future answers
  20. Sorry for the long reply, thank you for the assistance. I will check them out.
  21. Apologies, that one's on me. I must have mis-read the situation there. Again sorry about that. Assumed that it was more of a denouncing thing. I do not see why not, not very well versed in fluid dynamics nor car systems though.
  22. Thank you for the response, This is only an abstract concept that I came up with one day without giving it any further thought besides "hey this could be a thing" hence my little knowledge of feasibility. I personally do not think that my idea could be an actual physical product, however seeing that we are just stating invention possibilities I was just analogously shooting off the cuff with my ideas. I have not doubt about the feasibility of your idea or how well it preforms in the field, However again because this thread is intended for just coming up with invention ideas I did not think that feasibility was a prerequisite. Apologies if I was not on topic with the idea I submitted. I have used Plackers myself and have found them more user friendly than conventional floss, one and done is my motto when it comes to teeth care.
  23. ha, I think need to do more work before I can get out of the "mutually exclusive" club. Let me go back and see if I can better refine my question so that I can better convey it to everyone.
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