I already had the hierarchy from years of maintaining the notes, but for new things I do collaborate with the model on how best to structure stuff and get it to refactor when needed.
"nothing" is not the same the same as "zero". "zero apples" means something different to "nothing", but that difference is subtle and difficult to explain, which is what makes the invention of zero such an achievement.
The wording was just an attempt to illustrate the point. There are cases where you can rephrase a sentence with "zero" to get basically the same meaning, but the important thing is that "zero" falls into the same semantic class as other numerals, which other ways of negatively qualifying existence don't.
Put another way, the invention was not literally the word "zero", or anything to do with language per se. It was the idea that you can think about lack of existence in the same was that you think about counting, i.e. treating the idea of there being two apples and the idea of there being zero apples as two examples of the same thing in your mind, instead of treating one as being in some way fundamentally different.
Being raised with a maths education from a young age now, it's easy to see this as obvious, but there was a time in human history when it wasn't.
Also, I wasn't disagreeing with the Cartesian coordinate system being more significant.
I think ppl really do overrate the "mind shift" needed for zero. That's my honest opinion. I think ppl don't think about it hard enough.
The fact is, zero's usefulness is a bookkeeping device. "There are zero apples" is not better or more useful than "there are no apples." That's not why zero survives. You can wax poetic day and night about what a mind shift "lack of existence is." You're not getting it. You're missing the point. What does that _enable_ that "no apples" does not? That's the measure of its usefulness, right?
It enables positional notation. That's zero's primary gift to the world. It is a necessary bookkeeping device for positional notation. And the measure of positional's usefulness over its predecessor, additive numerals a la the Roman system, is so profoundly great that no argument need be made. No waxing poetic is needed. No "it seems obvious now but back then." It's just indisputable.
The difference is that zero is explicitly a number, rather than a concept.
Making it a number allows it interact with the rest of mathematics in a consistent way, which I'd argue you can't do with "nothing".
To use your later example of "no apples":
Is no apples the same thing as no bananas? What about no meters? I honestly don't know, the question is a bad one. My gut says yes, nothing in each case is just nothing.
Is zero apples the same thing as zero bananas or zero meters? No, they're different because the unit "apple" is orthogonal to the unit "meter".
The precision of zero is what's so special about it.
It's a forest, not an orchard, and most species fruit only once a year.
The most important is the strangler fig tree as it produces fruit multiple times a year.
Model rockets are classified as 'high power' above a certain impulse. In places like the UK and US you are expected to gradually work your way up from low impulse motors (A,B,C) to high impulse motors (J,K,L+).
The fact that unsympathetic targets are the first to be targeted need not be viewed as strategic. Other targets would be defended, which is a reason not to target them. Unsympathetic targets lack defenses and are therefore most likely to be targeted, all other things being equal.
We grant fully that it’s a slippery slope, ofc. But is the end of the slope in mind at the outset? Maybe, but not certainly.
I don't think it needs to be seen as "strategic", beyond that most effective people start with a proof of concept that is low risk. You are right, being pragmatic is surely the primary motivation to follow that pattern, but that too is inherently strategic. The strategy being; plan, test deploy the process, measure responses, adjust, redeploy, etc. We know this inherently strategic process even if it is a bit different outside of software development.
I mean, this logic is how USA walked itself into fascism. Right wing extremists were poster child for who must be protected at all cost, systematically, regardless of how it affected everyone else. And now they are in government taking a swing on everyone else.
I ran into the same problem. Tried using ChatGPT as a scrum manager. It was really good at checking off todos through conversation, but as I fleshed out the details of the project it would forget critical information - not necessarily todos, but critical information constraining the implementation of the project. In the initial stages, it was great, but it lost usefulness over time.
We need a Caesar who will ban all advertising. Lacking a Caesar, we could start with publicly funded NFL stadiums e.g. MetLife to get a foot in the door and go from there. Something must be done.
Very true, but the benefit to one-on-one instruction is so enormous that we should find ways to apply it fractionally if we can’t apply it fully. One thinks eg of the one-room schoolhouses of the 1800s, with younger students learning from older students.
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