I can accept that god sends non-believers to hell to suffer for eternity, but guiding a bullet to save the president’s life is where I draw the line!
Snazz
I make sure to wet my instrument before fingering it (reed instrument). The bowed string instruments need to be stroked though.
Ah, I think I wasn’t quite careful enough in the wording. Being able to predict a future state is different from being able to determine it. If time is discrete, and a chaotic system requires every state in between the current and some future to be calculated, then it is impossible to compute a future state sooner than that future time. This means that chaotic systems can’t be predicted.
What I meant to say is that if time is not continuous, then it is possible to determine the state of a chaotic system at some arbitrary time in the future. There is a lower bound on the time step required in the numerical simulation, so that means there is an upper bound on the amount of steps that would need to be computed for a perfect simulation. If there are a finite number of steps, then it can be calculated, and determined.
Ok, so from what I understand, the key difference between reality and our simulations of chaotic systems, is that in our simulations, we need to use a discrete time step to do the calculations (over and over) to find future states.
Reality, on the other hand is continuous, so these models are only approximations that get more and more accurate as we decrease the time interval of the steps in the simulations. It’s impossible to exactly model these systems because we can’t use an infinitesimal interval in a simulation. The amount of steps we need to calculate grows towards infinity.
However we haven’t been able to confirm that time is actually continuous (www.clrn.org/is-time-discrete-or-continuous-data/). If time is not continuous, then it would be possible to use a discrete model to predict these chaotic systems arbitrarily far into the future in our universe.
Perhaps I don’t quite understand the chaos argument. Some of those systems that you mentioned, particularly famously the double pendulum, have been simulated using computers running deterministic programs.
A computer can determine the current state of a double pendulum by using information about the past state, so doesn’t that mean that the system is not chaotic?
Is there something fundamentally different about double pendulums in reality vs ones that we can simulate? And how would such a difference be proven?
Alright, I’ll bite.
Both of your arguments are assuming a non-deterministic universe or non-deterministic systems, but to that you only briefly toss around the phrase “chaotic interactions” which is highly unspecific. You need to elaborate on that and how it can distinguish a deterministic universe from one that is non-deterministic for your arguments to be logically sound.
This is actually an issue caused by the hotel staff not allocating their rooms efficiently. When the first wave of infinite guests showed up, they should have assigned them to odd numbered rooms. Then theres still an infinite number of vacant even numbered rooms.
Even if several more waves of infinite guests show up, you can assign them to rooms numbered 4n+2, 8n+4, 16n+8…
That way, the hotel will always have rooms left over.
Obviously context matters here. I’m usually happy to answer most questions. I reserve those types of ‘just google it’ responses for the people who skip FAQs, ping me when they know I’m focused/busy and generally don’t respect my time.
Its ok, the AI predicted this and oriented the prongs incorrectly so there is no chance to accidentally plug it into an outlet.
They have great camouflage
New conspiracy: The government planned this decades ago and had the video ready in advance.
Unless the lorry was driving over the exact geographic north or south pole.
Side note: the tallest lorry where the top doesn’t move faster than the speed of light at the equator is 3.8 light hours tall, which is weird to think about because the top doesn’t start moving until well after the bottom has reached it’s destination.