Ok, i know what you're thinking. What the heck is fictional googology? To put it simply, we are removing the restrictions of mathematical rigorousness to do stuff like absolute infinity and stuff after absolute infinity.
So, what exactly is this?[]
In Fictional Googology, you can call any concept a number, no matter if it is well defined or not. It might nott make sense right now as you hear it, but it will make more sense if you look into it. At base level we have things like absolute fininity and absolute infinity+1, basically trying our best at making "The largest number", and then constantly passing the "limit". However, higher up we have stuff like comparing which philospophical ideas are the most powerful. It is also a study of paradoxes and contradictions, and much more. Basically, it is just "Make some cool-soudning name and give it an onsense defintions to make it more pwoerful", but itt can be even more than that. It is also seen as a kind of sandbox, you can freely do basically whateveryou want. Here you are free, unschaceled from the confines of rigorousness and stuff.
Why does this exist?[]
When i first created this community, it had one simple idea: Make a community out of these nonsense videos that pop up everywhere. You know those videos that are like 0 to absolutte ifninity and 0 to absolute true end and stuff like that? I wanted to make that into it's own thing. Separate it from normal googology. However, as it moved on, there came even more reasons.
- It appeals to a less educated audiience. Doing this is a very good way to introduce some concepts to people who don't know as much about maths and stuff, without overwhelming them. By setting them in a free nvironment, and telling them veryy clearly that this is nott real googology, they can learn this stuff in a fun way, and later on they can be set in an environemnt with rules, and they will be familiar with the concepts, they just need to adapt to the new rules.
- It reduces confusion. If the younger generation finds all these videos and think that this is what maths is, they will be very much confused and will have a very hard time. If we instead manage to make it clear to them that this is a separate thing, they will be able to go into actual real math with an open mindset.
- This is a form of mixing googology with pure creativity. While his may just sound like "Who can come up with the coolest name", it's more like "Who can come up with the most interesting idea". Without therules of normal mathematics, we can get some really wild an interestingg ideas.
- It's fun. I think almost noone can disagree that large numbers have been at least a litttle bit fun in their lives. The absolute largest reason i'm doing this, is for fun. Some people find it fun to think about these ill-defined numbers, and that should be a perfectly respectable reason, in my opinion. You can't say that fun is not a large reason for you doig googology as well, can you?
Wait so how does this relate to this wiki? Why are you posting this?[]
Well, truthfully, i was seeking to grow the community i had created, and this seemed like a natural place to start, as the googology discord already knows about all this stuff. Now, i must make this very clear. Fictional googology is a new thingg. It is separate from googology. It uses googological concepts, but it does not contribute to normal googology.
Preparation[]
Before you go diving into this new community, there are some stuff you should know, asdn there are some pieces of knowledge that you should probably have from the getgo.
The main userbase is young[]
You can nott expect there to be a lot of very well-educated people in the Fictional Googology community. Be prepared for some childish behaviour and general unknowledge of actual maths. And also prepare for a fascination with the surface-level numbers that are simply just names with symbols.
Absolute infinity[]
Ths is the first "fictional googology number". It's not the lowest, but it's by far the simplest. It's simply just past all ordinals. Not to difficultt to think about.
Terminus[]
Terminus is a very popular numbber in the community, created by Spelpotatis (Thats me!)
It's actual defintion is that whatever you do to itt, it becomes 0. This has been mistunderstood A LOT. So expect to see different views on what terminus actually is.
Terminus controversies and misconceptions[]
So, when i originally made terminus, it took the entire NO! (You know that youtuber) community by storm. This was before the invention of Fictional Googology. It was inevitable that someone eventually made a video that reached it. The person who diid that was Mathis. R.V
But in the video, he got multtiple things worong. He saw it as a cycle that could reach longer and longer each time. This is wrong. He named it terminusfinity, which is also wrong. Worst of all, he even said he made it himself. All this misinformation has led to big controversies on how to get past itt and what it's actual defintion is.
Number Classes[]
If you look at the number lsit on the Fictional Googology wiki, you will see that they are sorted into classes. Each class is vastly more powerful than the last. So far there are 8.
First class is The finiten umberrs
Second class is the ordinals and cardinals
Third class is well, imagine that the pattern set up here continues infinitely. So we have the sequence 0, aleph-0, absolute ifninity, etc.
Then there are more classes
It's difficult to explain, you'll just have to see.
I'm interested, how do I gett started?[]
Here is the wiki: [1] And if you're intterested in the Discord server, which i heavily recommend joining (Most of the discussion happens there): [2]