I mean we’d do more than twice as well with one question than with two, and more than twice as well with three than with two. Usually, diminishing returns leads us to learn less from each additional question, but not here. How do I express that?
when you have only two data points.
I have zero data points, I’m comparing hypothetical situations in which I ask aliens one or more questions about their technology. (It seems Dawkins’ scenario got inverted somewhere along the way, but I don’t think that makes any difference.)
I mean we’d do more than twice as well with one question than with two, and more than twice as well with three than with two. Usually, diminishing returns leads us to learn less from each additional question, but not here. How do I express that?
That’s actually a claim of superexponential growth, but how you said it sounds ok. I’m actually not sure that you can get superexponential growth in a meaningful sense. If you have n bits of data you can’t do better than having all n bits be completely independent. So if one is measuring information content in a Shannon sense one can’t do better than exponential.
Edit: If this is what you want to say I’d say something like “As the number of questions asked goes up the information level increases exponentially” or use “superexponentially” if you mean that.
My best guess for each individual achievement gets better each other achievement I learn about, as they are not independent.
So if one is measuring information content in a Shannon sense one can’t do better than exponential.
I was trying to get at the legitimacy of summarizing the aggregate of somewhat correlated achievements as a “level of civilization”. Describing a civilization as having a a “low/medium/high/etc. level of civilization” in relation to others depends on either its technological advances being correlated similarly or establishing some subset of them as especially important. I don’t think the latter can be done much, which leaves inquiring about the former.
If the aliens are sending interstellar ships to colonize nearby systems, have no biology or medicine, have no nuclear energy or chemical propulsion (they built a tower on their low gravity planet and launched a solar sail based craft from it with the equivalent of a slingshot for their space program), and have quantum computers, they don’t have a level of technology.
If the aliens are sending interstellar ships to colonize nearby systems, have no biology or medicine, have no nuclear energy or chemical propulsion (they built a tower on their low gravity planet and launched a solar sail based craft from it with the equivalent of a slingshot for their space program), and have quantum computers, they don’t have a level of technology.
Well what does no medicine mean? A lot of medicine would work fine without understanding genetics in detail. Blood donors and antibiotics are both examples. Also do normal computers not count as technology? Why not? Assume that we somehow interacted with an alien group that fit your description. Is there nothing we could learn from them? I think not. For one, they might have math that we don’t have. They might have other technologies that we lack (for example, better superconductors). You may be buying into a narrative of technological levels that isn’t necessarily justified. There are a lot of examples of technologies that arose fairly late compared to when they necessarily made sense. For example, one-time pads arose in the late 19th century, but would have made sense as a useful system on telegraphs 20 or 30 years before. Another example are high-temperature superconductors. Similarly, high temperature superconductors (that is substances that are superconductors at liquid nitrogen temperatures) were discovered in the mid 1980s but the basic constructions could have been made twenty years before.
No blood donors (if they have blood), no antibiotics (if they have bacteria), etc.
Also do normal computers not count as technology?
Of course they do.
Assume that we somehow interacted with an alien group that fit your description. Is there nothing we could learn from them?
We could learn a lot from them, but it would be wrong to say “The aliens have a technological level less than ours”, “The aliens have a technological level roughly equal to ours”, “The aliens have a technological level greater than ours”, or “The aliens have a technological level, for by technological levels we can most helpfully and meaningfully divide possible-civilizationspace”.
You may be buying into a narrative of technological levels that isn’t necessarily justified. There are a lot of examples of technologies that arose fairly late compared to when they necessarily made sense.
My point is that there are a lot of examples of technologies that arose fairly late compared to when they necessarily made sense, so asking about what technologies have arisen isn’t as informative as one might intuitively suspect. It’s so uninformative that the idea of levels of technology is in danger of losing coherence as a concept absent confirmation from the alien society that we can analogize from our society to theirs, confirmation that requires multiple data points.
I didn’t downvote it, but if you notice, JoshuaZ concluded my use of “exponential” was “ok”, as what I actually meant was not “a lot” but rather what is technically known as “superexponential growth”.
“Even less justification” has some harsh connotations.
cringe. Please don’t use “exponentially” to mean a lot when you have only two data points.
I mean we’d do more than twice as well with one question than with two, and more than twice as well with three than with two. Usually, diminishing returns leads us to learn less from each additional question, but not here. How do I express that?
I have zero data points, I’m comparing hypothetical situations in which I ask aliens one or more questions about their technology. (It seems Dawkins’ scenario got inverted somewhere along the way, but I don’t think that makes any difference.)
That’s actually a claim of superexponential growth, but how you said it sounds ok. I’m actually not sure that you can get superexponential growth in a meaningful sense. If you have n bits of data you can’t do better than having all n bits be completely independent. So if one is measuring information content in a Shannon sense one can’t do better than exponential.
Edit: If this is what you want to say I’d say something like “As the number of questions asked goes up the information level increases exponentially” or use “superexponentially” if you mean that.
My best guess for each individual achievement gets better each other achievement I learn about, as they are not independent.
I was trying to get at the legitimacy of summarizing the aggregate of somewhat correlated achievements as a “level of civilization”. Describing a civilization as having a a “low/medium/high/etc. level of civilization” in relation to others depends on either its technological advances being correlated similarly or establishing some subset of them as especially important. I don’t think the latter can be done much, which leaves inquiring about the former.
If the aliens are sending interstellar ships to colonize nearby systems, have no biology or medicine, have no nuclear energy or chemical propulsion (they built a tower on their low gravity planet and launched a solar sail based craft from it with the equivalent of a slingshot for their space program), and have quantum computers, they don’t have a level of technology.
Well what does no medicine mean? A lot of medicine would work fine without understanding genetics in detail. Blood donors and antibiotics are both examples. Also do normal computers not count as technology? Why not? Assume that we somehow interacted with an alien group that fit your description. Is there nothing we could learn from them? I think not. For one, they might have math that we don’t have. They might have other technologies that we lack (for example, better superconductors). You may be buying into a narrative of technological levels that isn’t necessarily justified. There are a lot of examples of technologies that arose fairly late compared to when they necessarily made sense. For example, one-time pads arose in the late 19th century, but would have made sense as a useful system on telegraphs 20 or 30 years before. Another example are high-temperature superconductors. Similarly, high temperature superconductors (that is substances that are superconductors at liquid nitrogen temperatures) were discovered in the mid 1980s but the basic constructions could have been made twenty years before.
No blood donors (if they have blood), no antibiotics (if they have bacteria), etc.
Of course they do.
We could learn a lot from them, but it would be wrong to say “The aliens have a technological level less than ours”, “The aliens have a technological level roughly equal to ours”, “The aliens have a technological level greater than ours”, or “The aliens have a technological level, for by technological levels we can most helpfully and meaningfully divide possible-civilizationspace”.
My point is that there are a lot of examples of technologies that arose fairly late compared to when they necessarily made sense, so asking about what technologies have arisen isn’t as informative as one might intuitively suspect. It’s so uninformative that the idea of levels of technology is in danger of losing coherence as a concept absent confirmation from the alien society that we can analogize from our society to theirs, confirmation that requires multiple data points.
Ah, I see. Yes that makes sense. No substantial disagreement then.
I heard a Calculus teacher do this with even less justification a few days ago.
EDIT: was this downvoted for irrelevancy, or some other reason?
I didn’t downvote it, but if you notice, JoshuaZ concluded my use of “exponential” was “ok”, as what I actually meant was not “a lot” but rather what is technically known as “superexponential growth”.
“Even less justification” has some harsh connotations.