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Don't we all :)


Knowledge is significantly different from a training set. In particular we can hold incomplete knowledge that is eventually resolved through further practice and observation. Also knowledge access is analog and inaccurate to a degree that often introduces emergent behavior into outputs.


Just out of curiosity (no rubiks cube affinity at all), but how can there be an unsolvable state when there are 'tricks' get in a solvable state? Does that not imply that there are no unsolvable states at all? Or is that maybe related to a certain method of solving?


The reduction method means reducing a big cube (NxNxN for N>3) to a 3x3x3 cube by first solving the centers (the central (N-2)x(N-2)x(N-2) square on each face) and the edges (the inner N-2 pieces along each edge of the cube). You are then essentially left with a 3x3x3 cube that you can try to solve by only turning the outer layers (which won't break the centers and edges you solved in the first stage).

The problem with this is that you may end up with a 3x3x3 cube that is not solvable. For instance, you can get a state where the entire cube is solved, except for two edges that need to swap locations. This isn't possible. In group theoretical language, only even permutations are possible. You can swap two _pairs_ of edges, but not just two edges.

When you end up in such an unsolvable 3x3x3 cube, you have to temporarily turn the inner layers of the cube and break apart the centers and edges you built in the first step, and then reassemble them again to a solvable 3x3x3 cube.


thanks!


They mean that the outer 3x3 is unsolvable taken in isolaton. The tricks will involve unsolving the middle faces and solving them again.


thanks!


How is that different from a turing test?


Can you provide proof for the first claim?


Which part exactly are you seeking proof of, and to what standard?

"I know" is unprovable to others, unless you examine the wiring of my brain. (But then, what is "knowledge"?)

"at least one other human is conscious, otherwise the term would never have been invented." — it's always possible that I'm a Bolzmann brain and this was just luck.

I don't see how the term could have been invented by a mind that didn't actually have it, except with astronomical low probably random events.


I just took the plunge and moving off the MS suite to Proton. It is little bit less polished but it serves my (basic) needs. And no more worries of being locked out of everything should MS decide I`m violating their terms somehow. I don`t use a custom domain for privacy reasons so no experience there. They don`t offer excel/sheets kind of stuff but for my personal stuff I don`t need that anyway. I like the authenticator/password manager more, it allows for saving arbitrary notes which I like for the odd governmental acces code that needs saving. The vpn is way better than NordVPN which I had before. Connects faster, and connection feels faster. No hard numbers to back that claim though. The calendar works well with invitations from either Google and Ms, better so than the MS offering actually. For me a perfect fit but ymmv ofcourse :)


> And no more worries of being locked out of everything should MS decide I`m violating their terms somehow.

I'm curious about what is different with Proton regarding this point?


For one, Proton can't inspect your content (at rest) for TOS violations. And as a smaller company, they 1) can't afford to lock accounts in as sloppy an automated fashion as MS and Google are known to, and 2) have actual humans working support.


In part they've built their image and business by siding with dissidents and persecuted groups.

That's quite different from MICROS~1.


Proton cannot access my content. Go look for cases where people are shut out of their accounts and not being able to get in. Not sure why the downvote but hey, give me some more for sharing my motivation and experience.


No customizable launcher is is a big no no for me. Longtime Niagara launcher user,and anything else then a swipe-from-the-side accessible alphabetical, magnifying app list just feels archaic and convoluted. And also two generations into the z-flip (the smaller samsung foldable) and the ergonomics of slab phones just don`t do it for me anymore. But apparently thats a controversial one.


Another big tech, big money, little conscience problem. So disappointing that there is so much willingness to make money regardless of what it supports but that that courtesy is not extended to those who do the actual money making.


You say you're broke witbout income, but from reading your comments you have at least some skills to pay the bills. And I bet that if you put your back into it you can do it without misusing the only good search we've got. Or anything else for that matter. Keep it up!


Thanks. And I'm sure you can succeed without implying your prospects are crooks.

Edit: from your tone I assumed you worked for Kagi, but now I'm not sure


Don`t work for kagi, and definitely not implying you are a crook. I believe your use case is not in good faith, and I also believe that you know that, but given your position it should be ok. And that is where we disagree, because I also believe you can do better. We all can. And sometimes that is something that needs to be said. I really wish you the best, and please do not take my words as an insult. It`s just the observation that my perspective grants me.



To rephrase my question, was the unlimited plan not available about a year ago? Otherwise I don't think I would have disqualified kagi at the time. I recall the volume being too low for my needs, even without hooking it up to any automated systems (which for me at least, was the whole point of looking into paid search engines).


Iirc it was available but more expensive as part of the Ultimate $25/mo plan.

They made the $10/mo plan unlimited in September 2023


was it not available about a year ago? I'm not sure. Maybe the wayback machine can tell you. But I have a gut feeling that there is a slight misalignment between your use case and their intended use of their service :)


Sometimes it is the doing that matters, not what was done.


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