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Comment · 2 years ago
Feel free to generalize my argument to i31 and i15.

Also, look around you and realize that non-64-bit microprocessors outnumber 64-bit machines by orders of magnitude. There is more to the world than your laptop and smartphone. (Just within 1m of myself at this very moment I see 4 devices with a 32 bit microprocessor in them, and I'm sitting in a coffee shop reading a book. Well, and browsing HN now and then.)

Comment · 2 years ago
Because i63 won't help with 32 bit variables.
Comment · 2 years ago
The keywords here are operational transform (OT) and conflict-free replicated data types (CRDT). Fun to implement, there are lots of libs.
Comment · 2 years ago
At current rates, whatever is done on a supercomputer today is done by a cheap pocket-size device just decades later. So, I'm not too worried about this case.

One of the first famous examples of this is the four-coloring theorem. I don't know any serious mathematician who is not certain of that result.

Comment · 2 years ago
The task proving some statement and the task of finding the shortest, or a "reasonably short" proof, are very different endeavours.

The first is about certainty that a statement is valid ("true"). The other is about simplifying the understanding of _why_ it is valid. Most of the time, you don't care much about the latter.

Comment · 2 years ago
The "best answer" perhaps from the POV of your own intuition. But the question is about a historical fact, and those don't work that way.
Comment · 2 years ago
If you'd actually read wherever the link is going then you could get an idea instead of just speculating wildly.
Comment · 2 years ago
Phenomenon. That's the singular form.
Comment · 2 years ago
> through the DOS computer language

Oh yes, that DOS computer language. Bill Gates was fluent in that language.

Totally makes me trust everything else in that article even more.

Comment · 2 years ago
Misleading title. It wasn't just "outside". It was a controlled experiment with Mars-like conditions, unlike space directly outside the ISS.

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