Mathematica (yes even I can't bring myself to call it "Wolfram Language" or whatever) is an exquisite and indispensable software system, a true aid to thought. Likewise for Wolfram Alpha.
(And yes, agree his cellular automata stuff is unconvincing.)
1,206 karma · joined July 20, 2021
Mathematica (yes even I can't bring myself to call it "Wolfram Language" or whatever) is an exquisite and indispensable software system, a true aid to thought. Likewise for Wolfram Alpha.
(And yes, agree his cellular automata stuff is unconvincing.)
After reading Caro, I'm left with the sad impression that there is probably a more vivid layer to most historical events at odds with the "cartoon" layer that has been passed down, but which we will never know because the singular figure of Caro was not there to chronicle it.
His objections seem concrete and well supported — not just repeating “but does it really understand” over and over. (Admittedly there is some of this.)
Edit - Thank you for the links.
All is clear and logical except the part where Aaronson endorses the opinion that Everett isn’t wrong, but grandiose (whatever this means). In justification, it seems he is pushed into further twisted locutions. He speaks of what “breathes fire” into branches of the wave function and says that the question of existence of other branches is “above the pay grade of physics”. Breathing fire and pay grade of physics?
How much simpler to just assert that yes evolution is unitary at all times and, yes, this implies many classical branches.
I return to the key point: the number of planetary systems in our observable universe is not infinite. It is not much larger than atoms in a macroscopic chunk of matter. It is entirely possible that the probability of life forming on a given planet is much too small for it to have happened in the last 13.7 billion years. This is just like the fact that the probability of radioactive decay of an atom (even in a sizable sample) becomes unlikely if the half-life is too long compared with the time scale of observation.
But, one thing we are able to estimate is the number of stars in the observable universe -- that collection of stars in causal contact with us. It is far from infinite. In fact, not that much larger than the number of atoms in a macroscopic chunk of matter. The number of possible games of chess is incomparably vaster.
If by "universe" we mean everything out beyond our causal horizon in an infinite universe, then I would guess that yes, there is other life. Actually, there are other copies of you too, because everything that can happen does happen in an infinite universe. The hinge of my point is that the observable universe is not infinite.
This is not to say, by the way, that we should not continue looking for traces of life or to be open to these.
One thing we are able to estimate is the number of stars in the observable universe -- that collection of stars in causal contact with us. It is far from infinite. In fact, not that much larger than the number of atoms in a macroscopic chunk of matter. The number of possible games of chess is incomparably vaster.
This is not to say that we should not look for traces of life. That is a completely separate question.
Namely: there is no life out there. Not due to baroque mechanisms such as techno-self-destruction but just due to its sheer unlikeliness. As large as the number of stars in the observable universe is (let’s say 10^24?), the space of combinatoric possibilities that must be threaded for the sustained chain reaction of life to occur is probably that much vaster. The so-called Drake equation is not useful since multiple terms have error bars that are not even estimable.
Probably not, but then again — Germany is where fission was discovered and an also a powerhouse of chemical engineering. Not all of German science fled the nazis.
In other fields, non-experts recognize that the business is subtle, involves trade offs, and if you haven’t ever done the thing maybe you should be careful about presuming to know the best way to do it.
I think it’s because everyone has been a bored student in a class at some point so feels entitled to an opinion, although few have actually taught a class or truly weighed all the considerations in doing so.
But then some basic sense of scale eludes me: 1) isn’t most astronomical stuff insanely far away, to the point that it would have to be cosmically large to take up a medium angular size? 2) the angular “real estate” in the sky is severely limited (4pi solid angle) so wouldn’t this get quickly used up such that we could only see a small collection of such objects? (Andromeda is already taking up a huge patch of the night sky!)
Of course these are quantitative questions that can be settled by calculation, but does anyone have relevant intuition to offer?
It is a sign of the much greater maturity of the physical collapse models that their parameters can be constrained by experiment. The ability to be constrained is a good sign, not a bad one.
I love John Preskill’s standard nod to superdeterminism in his writings: without mentioning it by name he says “I leave it up to the reader to decide how seriously to take this possibility” (get it?)
Of course, for any theory that applies within a certain domain, there’s always the question of what happens beyond that domain (“what came before that… and before that… and before that…?”). But this infinite regress isn’t particularly noteworthy. If I understand her correctly, she is claiming to be able to draw a particular line and to say that we can know things on one side of this line but— even in principle — can never know anything past this particular line.
She certainly understands her stuff. But I respectfully disagree with her conclusions — I see no reason to think that we might not make progress on the question through the normal process of science.
I see no reason to place the frontier of "what happened right at / before the Big Bang where vanilla GR breaks down" in a different epistemic category than all other frontiers of science, as the blog post seems to do. i.e., I see no reason that we should not build models and collect data in order to expand into this frontier, as we profitably do in other areas of science.
Similarly, it’s entirely conceivable that we may find independent ways to test which of the proposed modifications of the evolution laws is correct, for instance by using data collected from binary mergers. Then, these modified laws would lead to a modified story of what happened near the Big Bang. Alternatively, it may happen that all but one or a few of the proposed modifications do not play nicely with the other forces of nature at a theoretical level.
Or maybe not, but we certainly can’t rule out this possibility a priori.
Moreover, her point about not having a multi-universe data set would dismiss all of cosmology as mere “ascience” — again, including the notion of the Big Bang itself.
Instead, I think it likely that the present multiplicity of early universe proposals will be pruned as more data becomes available.