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Ok, so those types have no inherent meaning besides just being pixel values on the screen and it all boils down to binary and their operations then if I'm understanding you correctly. Also thank you for the intro explanation which brought it all the way up from the 1s and 0s.

In computer science how do you go from 1's and 0's to the different data types such as int, float, double, Boolean, etc? It is all just an upper level of abstraction? Is is a function at the lower functional hardware level of the computer? Does it somehow deal with the different flags in the hardware/software level boundary(do not know how else to put that)? Thank you for your responses.

there's Kahn academy, they walk you through problems step by step with videos and quizzes to test your understanding.

here ya go bud. Nice and done like. Read this before posting in Homework Help - Homework Help - Science Forums

ah, thank you for the correction.

how dense are those beads? It could just be that they are floating up due to them being less dense than the water. However I could also not be understanding the question being asked.

There is a site called "Library of Babel" which goes through every possible image or 30 word length text. I do not know what you are really saying, but if ya wanna find a place that randomly combines words in every possible way that may be a good place to start.

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.