ALine

to learn, to make, to do.... and efficiency

@enoemoSJ there is a thread by swansont in speculation about new theories. Check it out, gives some good details on how to format and define your idea.

I believe that you are refering to logic, if this is the case then you may be attempting to replicate de Morgan's theorum. In which case you are very close. What made you believe that this expression that you came up with is correct. May you missed a small step somewhere in your logic.

interesting, so for clarity and learning sake say if I have a 0 and I multiplied it by a 1 would the 0 be considered symmetrical? Because I started with a 0 and ended up with a 0?

ok, so I am taking discrete mathematics this semester and I have no idea what is going on. So imma get to understanding that first before even attempting this project that I have been procrastinating on.

Ok, I think I have gained a full grasp on your tile method, you are not saying that mathematical objects are not the foundations of mathematics, whereas it is only a block used where logic acts as the connectors metaphorically speaking. And you pose a good question, where does symmetry play in terms of mathematics? And what is symmetry from a mathematicians perspective? Now all that's left to do is to show that all fields of mathematics naturally arise from this understanding. Somehow making a conical mapping visualizing the interlacing's.

Edit: "though" instead of "thought"

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

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.

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.

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.

I will do some research and think it over, thank you for taking the time to assist.

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.

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.

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.

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.

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

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.

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.

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

I am studying logic at the moment so correct me if I am wrong. This seems like an "affirming the consequent" fallacy. Having the given logical structure Premise -> Only 10% of the Nobel Prize winners are atheist Premise -> A Nobel Prize Winner has been announced Premise -> There is a 90% chance that a Nobel Prize winner is not an atheist ( not premise 1 ( P(not A) = 1 - P(A) ) ) Premise -> Those who are Nobel Prize winners are smart Conclusion -> There is a high chance that the next Nobel Prize Winner will not be atheist (maybe conclusion 2) -> If there is a high change that a Nobel Prize Winner is not atheist and a Nobel Prize winner is smart, then someone who is not an atheist is smart. ( this does not feel right and it feels like I am missing a large amount of "enthymemes" as the book calls them. ) Maybe there is quite a few logical structures can be extracted from this original statement, however I am unsure. p.s. I am not sure If you can have more than one conclusion with multiple premises Of course I could be wrong, where the thread initiator could simply be stating something that they have learned, If this is the case then apologies.

ah yes, breaking the fabric of reality I see.

Thank you for the clarification. I now understand why this would be an issues in terms of momentum conservation.

Ghideon, Could you please re-clarify this section of your response. I am interpreting this as being the exhaust is somehow no longer being present. Does this statement mean that the fuel would no longer be viable to re-use or that if a means of operation is not found in order to slow down the exhaust in the y axis it will not be recoverable due to it shooting off into space. Also I need to go back and correct myself on a previous statement. Correction: "Because the electromagnetics would attract the exhausted ferrofluid, the exhausted ferrofluid would transfer from the y-axis to the x-axis due to a strong magnetic attraction caused by the ferrofluid being attracted to magnetic fields." Thank you for your time

Thank you for the response Ghideon. The fuel would not be slowed down, quite the opposite in fact. Because the electromagnets would draw the ejected ferro fluid it would in fact accelerate it into the x axis instead of the y axis. The force which exist would be reserved however it would be transferred to the plates. This would cause damage to the plates over time however. (I think) They would act like electrons in a cyclotron (p.s. just thought about it, the distance between the electromagnetic plates and the ejected fuel would need to be large enough where it does not cause the batteries to have their power used up from having to supply so much energy to change the trajectory of the ferro fluids nano particles.)