Resources are not fixed. Our planet, our solar system, and our universe are awash in resources. The question is, how much does it cost to extract them, compared to their value once extracted? As technology advances and human ingenuity finds new ways to do things, more and more resources become available at a cost less than their value. That's been happening all through human history, and continues to happen now. Even if particular resources (e.g., oil) turn out to be finite, we find substitutes (e.g., nuclear, solar, or even oil from algae), so that in a practical sense we never run out.
There are finite resources in our light cone. Resources are fixed. I said that I didn't expect we were nearing those limits. Quite obviously we aren't nearing that limit, but I don't rule out the possibility that there may be other, more relevant ones.
Actually, if the universe is spatially infinite (which it is according to our best current models), this is not true even if we equate "resources" with "quantity of matter", which is what you are implicitly assuming.
However, this implicit assumption is false: what counts as a "resource", i.e., how much of what kind of matter it takes to accomplish a particular goal, is not fixed. It changes as technology and human knowledge changes. In principle there is no lower bound to how much of what kind of matter it can take to accomplish a particular goal, which means that in principle there is no upper bound to the amount of wealth that can be created with a fixed quantity of matter.
Quantity of matter, quantity of energy, necessary structure... What of it we can access is limited by our light cone.
"In principle there is no lower bound to how much of what kind of matter it can take to accomplish a particular goal, which means that in principle there is no upper bound to the amount of wealth that can be created with a fixed quantity of matter."
On the contrary, in principle such a bound exists, for any specific task (and accompanying present configuration of the universe). We are similarly not likely to be near the theoretical limits imposed by physics and the well-ordering principle, but again practical constraints may bind much tighter - particularly in the short term.
What of it we can access is limited by our light cone.
What of it we can access, and what use we can make of it (I notice that you have left out this point completely), at this point in time is limited by our past light cone and our current knowledge and technology, obviously. But what of it we can access, and what use we can make of it, indefinitely into the future is not; it is only limited by the entire universe and our future knowledge and technology.
On the contrary, in principle such a bound exists, for any specific task
For any specific task undertaken at a specific point in time, in a specific, fixed state of knowledge and technology, yes, there is such a bound in principle; but you made a much stronger claim than that.
Also, whether or not that in principle limit has practical significance even over "short" time scales such as a human lifetime depends on how fast our technology and knowledge changes, not just on what they are at a given instant.
"(I notice that you have left out this point completely)"
No, I didn't. I addressed it in the other half of my post, which you obviously saw since you responded to it. If every sentence must address all parts of the argument, we're all guilty of flagrant violations up and down this thread (and every other) and will need to be writing some awfully convoluted sentences.
"What of it we can access, and what use we can make of it [...] at this point in time is limited by our past light cone and our current knowledge and technology, obviously. But what of it we can access, and what use we can make of it, indefinitely into the future is not; it is only limited by the entire universe and our future knowledge and technology."
Per my understanding of relativity and the present state of physics (significantly received from others but I think that I followed it at the time) this is simply not the case (in particular, if time is finite then "everything our light cone will encompass before the end of time" is finite - and I think an expansionary universe makes things worse). I think we're going to need to bust out some math or expert testimony instead of simply making assertions at each other if we're going to get anywhere.
"For any specific task undertaken at a specific point in time, in a specific, fixed state of knowledge and technology, yes, there is such a bound in principle; but you made a much stronger claim than that."
There is a set of possible futures from any present. You hold that, for any task in any situation, with sufficient knowledge, the resources it can take can approach arbitrarily close to zero?
'Also, whether or not that in principle limit has practical significance even over "short" time scales such as a human lifetime depends on how fast our technology and knowledge changes, not just on what they are at a given instant.'
I don't think the bounds given by physics have any impact yet. I'm not convinced they ever will - my point was there is a theoretical bound, and there may be more practical bounds that matter at any time-scale.
Let's try to get this back closer to useful.
My original point, which I think too much was read into, was simply that there are situations in which some having more can lead to others having less, and that paying attention to whether we're in such a situation is worthwhile. I stated right there in that first comment that I didn't think we presently were, in most respects.
That was followed by a levelling of a charge of "zero-sum thinking" in an explicitly hypothesized zero-sum situation, which (again) I said I thought unlikely to be relevant. I found this amusing.
I see that you did say "for any specific task", but, as I noted in my response to that, it seemed inconsistent with the much stronger nature of the claim that seemed to me to be either implicit or explicit in the other things you said. So I was confused about exactly what position you were taking. I'm clearer about it in view of this post; see below.
Per my understanding of relativity and the present state of physics (significantly received from others but I think that I followed it at the time) this is simply not the case (in particular, if time is finite then "everything our light cone will encompass before the end of time" is finite - and I think an expansionary universe makes things worse).
If you think this, then your understanding of relativity is wrong. As I responded to your other post upthread, "time is finite" only if space is finite, per the Einstein Field Equation. And the expansion of the universe does not "make things worse" in any sense that I can see, because the only reasonable solutions for the universe as a whole are dynamic (the only static solution, Einstein's static universe with a nonzero cosmological constant, is unstable, like a pencil balanced on its point, so it's not really reasonable as a real-world solution).
You hold that, for any task in any situation, with sufficient knowledge, the resources it can take can approach arbitrarily close to zero?
Yes (with an appropriate definition of "any task in any situation"). Julian Simon, AFAIK, was the first to defend this claim in detail, in a series of economics papers in (IIRC) the 1980's. It was in this same time period that he made his famous bet with Paul Ehrlich (of "Population Bomb" fame) about whether the price of 5 common resources would fall (Simon's bet) or rise (Ehrlich's bet) over a period of some years. Simon won the bet for all 5.
I don't think the bounds given by physics have any impact yet. I'm not convinced they ever will
Then what's the point of talking about them? If you think there are more practical bounds, what are they?
My original point, which I think too much was read into, was simply that there are situations in which some having more can lead to others having less, and that paying attention to whether we're in such a situation is worthwhile.
But this is a different statement from "resources are finite". Some having more can lead to others having less even if there is plenty to go around (for example, consider investment banks and the economy tanking in 2008). I would say that skewed incentives, and our failure as a society to properly punish people who undermine basic institutions, are far more pressing problems than resource limits.
This seems a bizarre claim. If there is an end to time then even in flat space-time, if the region we can access starts out finite and grows at a finite rate, then when time ends it will have a finite maximum volume.
Which, according to the Einstein Field Equation, there can only be if the universe is closed, i.e., finite in size. I wasn't talking about what's conceivable logically; I was talking about what's actually possible, physically, given our best current theories.
In any event, "resources we can access before time T" unequivocally finite, and some needs must be met before time T for any T far enough out that it dramatically changes the resources we have available. Which means that in terms of considering distribution and making sure needs are met, there is a theoretical upper bound on the resources available, and zero-sum thinking would be appropriate once we have allocated enough to some individuals that there is literally not enough for others and have reached limits on improvements in efficiency. As I've said, I'm not at all convinced that we are near either.
