It’s striking how somebody who has no understanding of set theory or theory of computation can claim such things. 2^aleph_0, eh? What flamboyance. Beware this University of Massachusetts Amherst, it’s full of gimmick!
Has anyone noticed how they proudly make a news release without even realizing how fundamentally flawed such a claim is?
It is now clear that academia has degenerated to a playground of ignoramuses and incompetent fools who pretend to be scientists. What a shame! I condemn their deception of the public. This is not computer science, it is charlatanry.
As a computer scientist, I am ashamed that computer science community contains such charlatans, and I am more ashamed that others tolerate and even support this idiocy, which only shows how widespread the aforementioned culture of incompetence is.
Why I am derailed so much. Well, supposedly aleph_1 = 2^aleph_0, and aleph_0 is basically the cardinality of the set of integers which is countably infinite. Here, they claim that by constructing a “super Turing computer” they can just go into the realm of uncountable infinity. How on earth are they going to do that? By building analog computers? An analog computer is made up of quanta, and it has to respect the physical limits of computation that quantum physicists have derived. Basically, you can only have finite entropy, and finite computation, in a finite boundary of space-time using finite energy. Perhaps, it is better to contrast such claims with that of a perpetual motion machine, or an energy source that doesn’t spend any resources. It is, in fact, that ridiculous from a physical point of view. Therefore, I find it highly unscientific that such a claim would find appeal in popular science press. It seems that there is never a good verification of these claims. They could have at least mentioned criticism of this “hypercomputation” or “supercomputation” concept by luminaries such as Martin Davis. To be blunt, I believe that if anybody thinks that there is some merit to this fad, his knowledge of theory is sorely lacking.