Maths made simple
Mathematics is just too complex isn’t it
For instance, can you work out the answer to the displayed equation
I can’t do it either... So instead of trying to work it out, lets simplify things, and see what happens
Numbers can only ever be Big or Small. And we’ll let them be added and subtracted from each other. But that’s all that’s allowed. Anything else will be too complex
Big + Big = Big Big + Small = Big Small - Small = Small Small - Big = Small
So far, so simple. But what about when we do Small + Small? If Small is 6 and Big is anything over 50, then:
Small + Small = Small
But if Big is anything over 10, then it’s going to be:
Small + Small = Big
Oh dear, we don’t know which one it’s is, we’ll just have to say:
Small + Small = Unknown
Big - Small = Unknown Big - Big = Unknown
Normally when you hit an Unknown you’re stuffed. But our algebra is unusual, we can do:
Unknown + Big = Big
And just to finish things off, so you have that warm cozy feeling of working within well defined mathematics:
Unknown + Small = Unknown Unknown + Unknown = Unknown Unknown - Big = Unknown Unknown - Small = Unknown Unknown - Unknown = Unknown Big - Unknown = Unknown Small - Unknown = Small
So there you go. But is it of any use? Let’s try it out on a series of questions previously thought difficult to impossible in modern mathematics
How big is the universe?
You have 50 apples, you give Ahmed 48 and start eating what’s left. How many apples do you have left?
A Small number
If an elephant, wearing a superman cape jumps off the Eiffel tower while blowing a kazoo, how long will it take before it hits the ground?
A Small amount of time
Exactly what kind of noise will it make when it hits?
A Big noise
Small - Unknown + Small + Big - Unknown + Small + Big = What?
... Can you work it out?
We considered adding in negative numbers, but it might get too complex
Can we do any better?
That was great, we simplified things alot. But can we simplify them any more? The first question we tried to answer looked something like this →
And my answer to it, at least, was: “” That’s actually quite a good response. I’ve used it a lot over the years, and whenever I do, people walk away with no further questions left to ask
So let’s formalize that into mathematics:
Any equation = I don’t know Any equation + I don’t know = I really don’t know
It’s like saying: “” “” “” “”
It’s cute, it’s simple, and it works... Or does it? If we were writing in a different language, we would replace ‘’ with something that looks like jibberish, and it would still mean the same thing. So lets replace ‘’ with 0. And ‘’ with 1 +
I don’t know = 0 I really don’t know = 1 + 0 I really really don’t know = 1 + 1 + 0
And what about ‘’? Maybe we could call that 3
I’m reliably informed, that from ‘’ and ‘’ we can re-create the whole of mathematics
Scary isn’t it