@liron Rope is only one piece of the magic.
I think we are exploiting the fact that solid matter can always "match" whatever force we put on it. (This EQUAL matching is because of Newton's 3rd law/ momentum conservation)
Look into the Archimedean pulley configuration in Destin's...
@liron computing how every should atom behave in order make tension along the rope equal. Of course you get that mostly for free in our universe.
If you assume tension along a rope is same then it HAS to pull it 3x.
But that doesn't REALLY explain where 3x advantage is coming from.
@liron Like how are we concluding all the degrees of freedom do exactly what we want (or be ALIGNED to our imagination) when we can only come up with very few constraints between them.
@liron Lol I said 1D manifold. I don't want to add jargon.
I said all these make us notice that, this is way to tell when our explanations may have holes in them. They may be shortcutting to becoming a good explanation.
By just counting the constraints and degrees of freedom.
@liron For the pulley since T_1 = T_2 = T_3 because it is along the same rope. Rope transfer around same tension everywhere, we can be sure if the kid used pulley with 3 ropes going out, he surely can pull 33kg by himself.
Otherwise he couldn't have pulled it off.
@liron That feels symmetric. But imagine a hammock is already hanging from 2 endpoints, 50kg 50kg now you see a kid attaching one rope in the middle, the kid claims hence I can pull 33 kg with my hand. That wouldn't be true right?
The two endpoints already took all load, even though..
@liron hammock arrangement shown is statically stable by itself. So you don't need any additional force. Whereas the pulley arrangement is not.
Even in the simple hammock case,
One physical rope itself can be thought of many atomic ropes attaching to the ceiling?
@liron Here the hammock does feel the cleaner explanation.
But how do we know that I am not pulling 50kg or 0kg. Why would all the ropes divide the load equally?
Why T_1 = T_2 = T_3 in the case of hammock is basically what I am asking.
0 kg is also a option considered because...
@allTheYud Inverse problem of introspection has many many solutions in our universe.
So you cannot figure out if YOU are using calcium or potassium or silicon underneath.
I have been waiting for this moment since 2019 as a grad student. It took me a much longer time to realize that most mathematicians didn't see what I see ahead for us.
Disruption without a replacement leaves a vacuum. But a definite vision for the future breathes in fresh life, and the next step is clear:
We are poised to translate all known math into formal code.
https://t.co/wCfWhLW9gW
@NoahProoval@NeelNanda5 Oh, without the EXACT prediction of COVID (which wasn't even claimed above, learn to read instead of constantly interpreting random stuff) everyone needs to now get out? That include you and CDC as well then.
Get out there and read up on how EAs gave early warning.
@NoahProoval@NeelNanda5 will be able to stop a US wide pandemic with 100M funding.
They did predict their ability to stop pandemic nor did they claim that they could.
@NoahProoval@NeelNanda5 almost any news media? So saving lives of who listened?
Again this is about track records. You already conceded that point.
Nobody claimed EAs solving COVID for US, nor you have to be able to solve all diseases after predicting the disease. They did not claim they...
Reading all those recent beautiful essays by Terry Tao, Kevin Buzzard and @wtgowers, I could not resist, but write up my deeply personal perspective on how I perceive and see things:
https://t.co/fvWb4b7jGU
@NoahProoval@NeelNanda5 If CDC was so aware, why did their own employees acted slower than EA people? Again, that is CDC's job and they had 10 to 100 times the funding.
CDC's awareness doesn't diminish EAs records.
I don't think you or I or most people you can point to spent 10-100M on biorisk.
@NoahProoval@NeelNanda5 So... that establishes track record!
That shows prescience the ONE time it actually mattered for life and death.
So, This is strong evidence for them having good track record which everyone see records of, even if they didn't invent worrying about pandemics.