While I'm encouraged by this response, I still feel a sense of fear that this fix is a one off, if you could speak to how this could even happen and how mistakes like these would be prevented in the future I'm sure the community would appreciate it.
The axiom of choice is debated as a matter of if its inclusion into our mathematics produces useful math.
I don't think it's debated on the ground of if it's true or not.
And I was imprecise with language, but by saying "math is math" I meant that there are things that logically follow from the ZFC axioms. That is hard to debate or be skeptical of. The point I was driving was that it's strange to be skeptical of an axiom. You either accept it or not. Same as the parallel postulate in geometry, where you get flat geometry if you take it, and you get other geometries if you don't, like spherical or hyperbolic ones...
To give what I would consider to be a good counterargument, if one could produce an actual inconsistency with ZFC set theory that would be strong evidence that it is "wrong" to accept it.
All that BT tells me is that when I break up a set (sphere) into multiple sets with no defined measure (how the construction works) I shouldn't expect reassemlbing those sets should have the same original measure as the starting set.
If you mean there are objects that have physical characteristics that involve pi to infinite precision I think the truth is we have not a darn clue. Take a circle, that would have to be a perfect circle. Even our most accurate and precise physical theories only measure and predict things to 10s of decimal places. We do not possess the technology to verify that it's a real true circle to infinite precision, and many reason to think that such a measurement would be impossible.
Were the current loan (and grant) guarantees perfectly adequate? Citation needed.
In some investors view they were not.
> "The deal certainly has the appearance of the government clawing back the remaining portion of the previous grant, as the government is getting equity not previously contemplated for dollars already committed," Morgan Stanley analysts
"The trade-off, in our view, is that the company will have the flexibility to optimize its own business model without commitment to public service objectives, which may or may not include foundry services at 14A as articulated on the last earnings call
> Usage of sqlmap for attacking targets without prior mutual consent is illegal. It is the end user's responsibility to obey all applicable local, state and federal laws. Developers assume no liability and are not responsible for any misuse or damage caused by this program"
I don't know the legal footing these spyware apps stand on, but this blog post seems like exhibit A if Catwatchful ever decided to sue the author, or press criminal charges. Hacking, even for reasons that seem morally justified, is still illegal.
Instead means "this isn't our bug, it's the underlying library."
The libraries you rely on are part of your product. You own the issues that bubble up from them.
A much much better reply for the maintainer would've been: "The root cause looks to be X, I'll submit a ticket and make sure a fix makes it into our build."
It does not apply to classical bits in the same way. Quantum computers derive their computational power from the qubits being in a single quantum state across the qubits (an entangled one, to use physics jargon.)
This is distinct from classical computers, where you can describe a bit without needing to describe the other bits in the computer. You cannot describe a qubit (in a way that's computationally useful, at least) without describing all of them.
We need it all. Even if we're carbon neutral the CO2 is still in the air. We need a way to remove it. This is especially obvious given how long it's going to take to even get to carbon neutral.
Can we stop with "we don't need solutions like THIS, we need this other solution." We're going head first into a climate crisis. We need all solutions here.