@"apokrisis" I'm not going to respond to anything quantum or differential-geometric unless you think it's essential. Things are involved enough as it ...
I didn't doubt that you understood the 'ecology 101' folklore of how biomass flows and how niches are distributed in the canopy-forest floor trophic n...
@"apokrisis" Will reply more later, it's late and I'm hooked into some wires. I didn't want you to engage in some kind of organic/mechanical translati...
Yes. If you're going to say a result is established in physics, and is obvious. It should come with either a reference to either the paper or popular ...
There are measure zero sets in the Gaussian distribution (and in Gaussian Random fields) since their (finite state) distributions are continuous with ...
If you look at the way everyone is responding in the thread, the majority are hurt, the majority are saying hurtful things. If you look at the forum i...
This is just for interest. A thing I noticed about the ecosystem flow networks is that when you analyse them in terms of flow proportions and add the ...
I think you're painting my objections as mechanistic and reductionist because I haven't adequately communicated what my objections to your use of 'ent...
A last thing, looking at ascendency as a measure of a dissipative system. Ulanowicz' use of 'autocatalysis' can signify a growth or amplification of s...
Ulanowicz' ascendency can be applied to any ecosystem network parametrised in terms of flow exchange, it need not be applied to a dissipative network....
Except no. The principle of indifference is an idea of equidistribution over a finite set of states. A die is the model case of the principle of indif...
I was typing something in anticipation to this before you responded, funnily enough. I have ontic concerns too. This is why I'm looking to add things ...
This is a lot of flip-flopping Apo. At the start of the thread you advised me to read various entropy measures for context. Especially ascendancy. You...
The bridges between your contextualised uses of entropy are metaphorical. I'll give an apokrisis like description of a process so you can see what I m...
It didn't. Shannon's entropy came after. By throwing in 'original' there I meant Shannon's particular application of entropy to signals and strings. I...
Shannon's strictly broader than Boltzmann since it allows for non-equidistribution. Gibbs and Shannon are almost equivalent, or rather it can be said ...
Funnily enough, it's precisely the common thread between different notions of entropy that makes me resist trying to come up with a catch-all definiti...
It's actually a lot of work just to research the background to what you're saying. So I think I have to break up my responses into a series. A univoca...
Entropy is absolutely well defined. It's just defined in different ways. There are multiple entropies. They mean different things. They have different...
It literally took me an hour to disambiguate the different relevant notions of entropy and degrees of freedom that bear some resemblance to how you us...
This is fine. I view it in light of this: Which is largely true. What I care about in the questions I've asked you is how does the metaphysical system...
Do you have any references on what the measure preserving transformation is? I mean, if we're speaking about ergodicity, it has to be the ergodicity o...
@"Metaphysician Undercover" By metaphysical necessity, I mean the metaphysical necessity of a proposition. By the metaphysical necessity of a proposit...
The possibility of error in the measurement in the year induced by the Earth getting further away from the sun, based upon the assumption that the Ear...
@"Metaphysician Undercover" Well, we had an argument over whether metaphysical necessity of physical law was required for the measurement to be accura...
@"apokrisis" This isn't necessarily a flaw in your thinking. It could be determined by me not having read the things you've read. Further: the complai...
I'm suspicious of the confidence you have in this biosemiotic/thermodynamic/entropic system which crops up almost everywhere you post. You usually mak...
Well that didn't have any quantitative analysis. So I did some digging. It seems appropriate to assume that trees that canopy very high have a 'large'...
What makes you think that more biodiverse ecosystems 'have more nodes that support certain cycles such that the failure of a few of these nodes would ...
See, I can imagine what you mean by degrees of freedom, but - and this is a big but, I don't think it can be used so qualitatively. So when you say: I...
How do you mathematize it? One way it's been done is this. You ask people a bunch of questions which distinguish between different political beliefs, ...
Lots to think about here. Biodiversity itself can have a regulatory effect. I think the most extreme example of this is a monocultural crop. If a fiel...
I guess it's better if I try and detail the kinds of boundaries that ecosystems have. Natural boundaries: Spatial - subtended land area. Temporal - du...
The word 'refuting' doesn't appear in any of my recent posts in this thread. My last response to @"Metaphysician Undercover" is an attempt to detail h...
Observing a thermometer is observing a measurement. Observing a watch is observing a measurement. Observing a radiocarbon dating procedure is observin...
Comments