User blog comment:Boboris02/Large number combinatorics II:Trying to prove something interesting/@comment-30118230-20170204183225/@comment-30754445-20170205171932

I understand your frustration. I really do. It is very difficult to get our original ideas across in a way that other people would understand them. This is something that even veteran googologists (and even professional mathematicians) struggle with all the time.

And believe me, this is frustrating for me almost as it is frustrating to you. I'd just love to talk you about the actual ins and outs of your notation, but right now it is completely and utterly incomprehensible.

I'm sorry.

But here are a few tips you can apply right now:

1. It doesn't really matter if you use math or english or diagrams or anything else. What matters is whether other people can reasonably infer what you mean without taking a wild guess. If you look, for example, at the article on Hyper-E in the main wiki, you'll see an excellent example of how one can use both math and english to convey an idea with crystal clear clarity.

2. If you do chose to use math symbols, they come in two varaities: either it is a standard symbol (like "+" or "^") or it must be explained (with math or in english or in any other way you please) in the body of your work. IOW if you know that a symbol is not standard (as you've clearly stated regarding several symbols you've been using like "⊥") then it must be defined in the body of your work. Period. There are no "ifs" or "buts" about it.

The same is true, of-course, for english words and phrases which are used in an unconventional way. A classic example of this is the terms "Good Part" and "Bad Part" in various notations (see the main article for the "Worm" function, for example))

3, If you are unsure as to what a certain math symbol means or how to define a new one that does the job you want it to do, it is probably better to use plain english to describe what you're aiming for. It might be more ambiguous, but at least we'll have some idea as to what you're trying to do and ask for clarification. With a symbol like "⊥" we can't even begin to guess what you're aiming at.

4. Practice your presentation skills with simpler, shorter definitions. It is usually a very bad idea to jump directly into a three-page long of dense mathematical symbols. Bear in mind, as an example, that it took me years to develop my own letter notation, and I developed it one letter at a time. Most googologists follow this practice, and there is a good reason for it.

There. I hope this post is at least a little more constructive in your view.

(if it isn't, perhaps you could tell me how I could improve)