Proof 0=1

#50 I'm almost certain it's white.

@tixem75 This is just silly.have you considered a career as a politician?

I just made up a new number system

The digits are the letters of the alphabet
Numerals are variables

So, given that 0 = a, and 1 = a, 0 = 1

Don't you know simple maths? Proof 5x10=50 5x5x5x5x5x5x5x5x5x5

@StevenEmily said in #53:

I just made up a new number system

The digits are the letters of the alphabet
Numerals are variables

So, given that 0 = a, and 1 = a, 0 = 1
@NaitikJerath4012 said in #54:
Don't you know simple maths? Proof 5x10=50 5x5x5x5x5x5x5x5x5x5
@ChessMathNerd said in #11:
@Zana_gasy_Michess It is a false proof that is intended to show what you can do with infinity. He is not saying that that is actually a fact.
yeah i agree

@Linspiring said in #23:

Thanks for your response. I know you are very knowledgeable about accepted math principles so it's interesting to hear the way serious math people think about it.
But just because someone knows more than me about something, in this case A LOT more than me doesn't mean I have to accept everything they say. And I will never believe this. I mean I don't ever want to have a closed mind to anything, but nothing anyone has ever said before has convinced me and I don't think it ever will.

It boggles my mind that you can actually think that. Do a thought experiment. We are in outer space together, in our space suits and I put the extra ball at the beginning of one of the lines. You could pick up the ball, touch it hold it feel and see that it's real and that it exists and still say that after I added it there's not one more ball? As I say, mindboggling lol.

Then shouldn't that be a clue that you need to reevaluate how you think about infinity? I would have thought it would be. 1=0 is not an unsolved issue. We KNOW it to be false. So if we start with a known correct equation like 1=1 and we apply operations to the right side of it that rely on certain principles to keep it the same and then we end up with 1=0 that's proof that the principles that we applied were incorrect isn't it?. Mathematicians I think would agree with that in just about any other case but for some reason I can't understand the thinking and reasoning starts to get funky when it comes to infinity and we throw out well established methods and rules we use for everything else to accommodate these funky ideas. Why?

Let me ask you this. Are there any dire practical consequences that would come about if you said that infinity +1>infinity? Would it break something somewhere else?
hey

@ChessMathNerd said in #17:

@Linspiring "The line you added the ball to must have one extra ball", in infinity, you cannot talk about "more" or "less". Infinity is simply, infinity.
I don't want to sound condescending at ALL, but to be honest, most people just don't understand infinity properly.
Just like .9 +.09 +.009 +.0009... out to infinity does actually equal 1. This can be proven mathematically if you want me to show you using geometric series summations.
It is true that if you made one line of balls a foot apart, and one line of balls 6 inches apart, this line would have twice as many as the other one, but you can't say the same when you just add one at the beginning.
It's pretty complex to explain, (it would require some calculus), but basically what it comes down to is this.
infinity + (any constant) = infinity + 0. The two are simply the same.
Using infinity, you can create a lot of strange things like 1 = 0, or even 123456789 = 0

You do have a point though.
For practical purposes, your explanation is enough. From a purely mathematical point of view though, it does not work.

Now wait a minute. You can't prove that 0 = 1 using infinity.

For example:
Infinity + 1 = Infinity

But if you do this:
Infinity + 1 - Infinity = Infinity - Infinity

You get:
undefined = undefined

NOT
1 = 0

Also, "It is true that if you made one line of balls a foot apart, and one line of balls 6 inches apart, this line would have twice as many as the other one" is actually false

The two lines actually have the same amount!
Say the first line represents even numbers starting from 0: 0 2 4 6 8 10 etc
And the second line represents all integers starting from 0: 0 1 2 3 4 5 etc

Take every number in the second line and multiply by 2
No matter what number in the second line you choose it will fit inside the first line!!!!
Infinity / 2 = Infinity

@StevenEmily Ahhh, you are getting into some Calc III stuff. There is more than one way to look at infinity. If you look at it through Limits, like I was, you get different results. Your last statement about the two lines having the same amount of balls is something from, I wanna say, Series in Calc III. It is pretty weird stuff. The bottom line is that you can't really define operations with infinity. I was just trying to explain something.

@StevenEmily said in #57:
You responded to me but I think you meant to respond to ChessMathNerd
Despite that we both disagree with him I disagree with your reasoning.

For example:
Infinity + 1 = Infinity

But if you do this:
Infinity + 1 - Infinity = Infinity - Infinity

You get:
undefined = undefined

Not true. Because any number minus itself equals zero and that is true for even a non number like infinity.

Infinity + 1 - Infinity = Infinity - Infinity
Because of the distributive property of addition the above line can be rearranged as
(Infinity - Infinity) + 1 = (Infinity - Infinity)
Which does indeed simplify to
1=0
But this was all based on the idea that
Infinity + 1 = Infinity
So none of it's true. Garage in garbage out.

Also, "It is true that if you made one line of balls a foot apart, and one line of balls 6 inches apart, this line would have twice as many as the other one" is actually false

The two lines actually have the same amount!
Say the first line represents even numbers starting from 0: 0 2 4 6 8 10 etc
And the second line represents all integers starting from 0: 0 1 2 3 4 5 etc

Take every number in the second line and multiply by 2
No matter what number in the second line you choose it will fit inside the first line!!!!
Infinity / 2 = Infinity

Again not true. If you multiplied the second line by 2 it could be said to "fit inside" the first line as the terms will be the same. But if you multiply it by 3 the terms of the second line become larger than the terms of the first line, so I don't know any definition of "fit in" even the most wild that would say that it still "fits inside".
The first term of the firs will be 0 in both cases but for the second terms it will be 2 and 3 respectively. 3 is larger than 2. For the third pair of terms it will be 4 and 6. As you go on the difference keeps getting larger.

Infinity kinda breaks arithmetic, it's not really a standard number. (Just like the game theory "star")

I will hold on to these claims
Infinity + 1 = Infinity
Infinity / 2 = Infinity

Here's a video that could visually explain why
https://www.youtube.com/watch?v=Uj3_KqkI9Zo

Here's how I think of this: you can turn the second line into the first line (since there's infinite room), so they're equal.
Even though visually it looks like the difference is getting bigger and bigger, after infinity, there is no difference.
This sounds kinda crazy huh. (I'm trying to explain this better...)