Converges to means the same exact thing as “equals”
Magnus!! Who gives a fuck about this trivial shit anyways?!?!
You have arguments to look at!
Converges to means the same exact thing as “equals”
Magnus!! Who gives a fuck about this trivial shit anyways?!?!
You have arguments to look at!
If you remove the first one:
Boy —>
Boy —> clone
Boy —> cloneEtc…
All that NEED fucking occur is that all the boys take ONE step forward, and EVERYONE is holding hands again.
[…]
You figured that out. That it disproved you.
So what did you do? You ignored it.
I did not ignore it. I responded to it by stating that it’s not something that you can do because it is strictly forbidden by your previous claims.
Let’s go back to page 98 where I stated:
We started with the following situation:
Boy1 → Clone1
Boy2 → Clone2
Boy3 → Clone3
etcWe put the two sets in one-to-one correspondence. We paired every boy with exactly one clone and every clone with exactly one boy. This means that every boy is paired (which means there are no unpaired boys) and that every clone is paired (which means there are no unpaired clones.)
Once you remove Clone1 from the set of clones, you get the following situation:
Boy1
Boy2 → Clone2
Boy3 → Clone3
etcBoy1 is now unpaired because we removed the clone he was paired with. At this point, there is no one-to-one correspondence between the two sets. In order to restore it, there must be a clone in the set of clones that is not paired – an unpaired clone. But there are NO unpaired clones. We STATED it earlier. And if there were unpaired clones, that would mean there was no one-to-one correspondence in the first place. But we did put the two sets in one-to-one correspondence, didn’t we?
A possible way out is to say that by removing Clone1 a new clone is generated. But the problem with this is . . . that’s not what the word “remove” means. To remove a clone does not mean to remove a clone and add a new one.
Another possible way out is to say that there is no need for an unpaired clone to exist. You can just pair Boy1 with one of the paired clones. But the result of that wouldn’t be a one-to-one correspondence. You’d have a clone paired with TWO boys. One-to-one correspondence requires that every clone is paired with EXACTLY ONE boy.
Note the bolded part.
In order to restore one-to-one correspondence between the two sets, there must be an unpaired clone to pair with an unpaired boy. But there is no such a clone. All of the clones are already paired. Thus, regardless of how you move your clones, you cannot restore one-to-one correspondence.
You responded to this by saying that the word “infinity” refers to a never-ending process of increase which means that new clones are added continually. So when we remove a clone, a new one is added automatically.
And my response to this was that the word “infinity” does not refer to a never-ending process of increase (that it does not refer to a process at all.)
Converges to means the same exact thing as “equals”
That’s not true.
Ecmandu:Converges to means the same exact thing as “equals”
That’s not true.
You’re still doing it! You’re ego is invested in nit-picking and not arguments!!!
There is a difference between ‘converges to’ (which is convergence) and ‘converges towards’ which is not convergence. But!! Even that’s a contradiction because the word convergence IN AND OF ITSELF is defined as the finite conclusion of a sequence or series. Infinite or not.
Magnus!! Who gives a fuck about this trivial shit anyways?!?!
It’s part of your argument that infinite sequences are both finite and infinite sequences.
That in turn is part of your argument that infinite sequences are algorithms.
That in turn is part of your argument that the word “infinity” refers to a never-ending processes of increase.
That in turn is part of your argument that infinities do not come in sizes.
There is a difference between ‘converges to’ (which is convergence) and ‘converges towards’ which is not convergence. But!! Even that’s a contradiction because the word convergence IN AND OF ITSELF is defined as the finite conclusion of a sequence or series. Infinite or not.
Not true.
Ecmandu:Magnus!! Who gives a fuck about this trivial shit anyways?!?!
It’s part of your argument that infinite sequences are both finite and infinite sequences.
That in turn is part of your argument that infinite sequences are algorithms.
That in turn is part of your argument that the word “infinity” refers to a never-ending processes of increase.
That in turn is part of your argument that infinities do not come in sizes.
This part is transitive:
1/9 implies 0.111…
0.111… implies 1/9
If they both imply each other, they are equalities.
I have no idea what that means.
I have no idea what that means.
And that’s why this debate is over. Because you don’t understand, really, much of anything said here!
But let me be kind to you for a moment!
2+3=5
3+2=5
That means 2 and 3 are transitive: they mean the same thing!
I’ve seen you write a bunch of fancy symbols, but you don’t even understand kindergarten math!
That’s why we are butting heads here!
This isn’t supposed to be a contest of beliefs but a cooperative effort to resolve disagreements. (But then again, this is a forum, so pretty much everything anyone does here is some sort of competition where people try to prove themselves to be the smartest guy in the room.)
2+3=5
3+2=5That means 2 and 3 are transitive: they mean the same thing!
What do you mean by “transitive”?
en.wikipedia.org/wiki/Transitive_relation
In mathematics, a homogeneous relation R over a set X is transitive if for all elements a, b, c in X, whenever R relates a to b and b to c, then R also relates a to c.
Either way, it’s definitely not true that (2) and (3) mean the same thing.
This isn’t supposed to be a contest of beliefs but a cooperative effort to resolve disagreements. (But then again, this is a forum, so pretty much everything anyone does here is some sort of competition where people try to prove themselves to be the smartest guy in the room.)
Ecmandu:2+3=5
3+2=5That means 2 and 3 are transitive: they mean the same thing!
What do you mean by “transitive”?
en.wikipedia.org/wiki/Transitive_relation
Wikipedia:In mathematics, a homogeneous relation R over a set X is transitive if for all elements a, b, c in X, whenever R relates a to b and b to c, then R also relates a to c.
Either way, it’s definitely not true that (2) and (3) mean the same thing.
Magnus,
I have to admit, at this point, I enjoy teaching you because you don’t quit!
Transitive (strictly speaking) (as an example)
Is:
ab = ba
I gave you a more advanced version in the last post; what I should have said is that:
2+3 = 3+2
3+2 = 2+3
Etc…
When you introduce a new variable (such as “5”) (c) it becomes a different term than purely transitive, Wikipedia is wrong.
You never addressed the argument that proves infinite and finite behave differently in anything resembling a rational manner.
Here it is:
viewtopic.php?f=4&t=190558&p=2768316#p2768299
And you are ignoring it (:
Ecmandu:Transitive (strictly speaking) (as an example)
Is:
ab = ba
That looks like commutativity.
Oh man, that’s embarrassing for me.
You have to understand that I had brain damage (was in a coma for four hours) because of a head injury.
I went from being a super-genius to just your run of the mill genius.
Yes, your neurons were not misfiring on this!
It’s communicative!
It’s communicative!
You mean commutative (:
Ecmandu:It’s communicative!
You mean commutative (:
chuckles
You know Magnus,
Brain damage did not impair my logic, just my memory.
The link you just sent me implies that I’m not allowed to make ANY argument that shows FOR A FACT that infinite and finite behave differently (supposedly (according to you) by my own reasoning).
Your argument about me contradicting myself by having every boy step forward and still all be holding hands is a fantasy of yours! It violates YOUR reasoning! Not what I’ve presented in this thread.
You know why I know I’ll win this debate?
Because I know god doesn’t exist.
You know Magnus,
Brain damage did not impair my logic, just my memory.
The link you just sent me implies that I’m not allowed to make ANY argument that shows FOR A FACT that infinite and finite behave differently (supposedly (according to you) by my own reasoning).
Your argument about me contradicting myself by having every boy step forward and still all be holding hands is a fantasy of yours! It violates YOUR reasoning! Not what I’ve presented in this thread.
You know why I know I’ll win this debate?
Because I know god doesn’t exist.
Let me put this to you a different way.
Wtf left the thread because “nobody understands cardinality”. It went over your head!
There is a highest order of cardinality that in laypersons terms means “the infinite cardinal”
This is a proof of god.
Cantor knew it to.
This is not just a simple thread/discussion about math.
Our every sentence in this thread is also about whether god exists or not!
Very high stakes for lots of people.
The link you just sent me implies that I’m not allowed to make ANY argument that shows FOR A FACT that infinite and finite behave differently (supposedly (according to you) by my own reasoning).
I am not sure I understand what you’re saying here.
Your argument about me contradicting myself by having every boy step forward and still all be holding hands is a fantasy of yours! It violates YOUR reasoning! Not what I’ve presented in this thread.
How? What’s wrong with it? Which part do you disagree with?
This is not just a simple thread/discussion about math.
That’s precisely what it is.
I made a claim earlier that infinite sequences are infinite sequences.
(You can find it here.)
You responded to it by saying:
[T]rue, but also definitely false.
Then, I asked you:
How can a statement be both true and false? Isn’t that a logical contradiction?
You ignored these questions.
So I’m going to ask you once again:
How can a belief be both true and false?
Isn’t that a logical contradiction?