I made a set/group of numbers, and want thoughts

[Zion Does Math Weird]

Sorry if this is a bad place to put this, I have never used this site before, and just generally wanted thoughts on something I did. I may link the doc here if you guys think it would be better, but here are some images. I will try to answer any questions, and if you have criticism please make it as clear as possible.

 

[Zion Does Math Weird]

Forms are the primary thing I am expected questions on tbh

 

[Zion Does Math Weird]

On another forum I responded to something pertaining to calling this a group

 

[conway]

My thoughts.

If abstract numbers are not a "thing", then why do I see the consequences of their existence everywhere? Including this website. You can not use a "thing" , that does not exist. Why then can you use numbers, if they are not a "thing". Abstract things, do exist. They are just not tangible, or "concrete". You can know the existence of a "thing" by the consequences of its existence. Also many times in mathematics a system is created, that at the time appears to have no purpose. Until much latter.

The reason for these thoughts is to indicate, that all mathematical constructs begin in philosophy. I suggest you start there as you develop this idea further. Well done I might add.