I don't think Charles Darwin actually even thought of this as it is irrelevant to his theory. However, understanding your take on this, you are interpreting him as implicitly supporting your view with regards to Chaos Theory. I'm guessing that you're interpreting Darwin's trees as a sample of how evolution derives towards the future as branches (your "non-linear" interpretation from Chaos Theory). But according to Darwin, he came to his theory by recognizing from Malthus' demographic studies how populations where pressure is greater have both more deaths and more drive to populate in an apparently contradictory way. Malthus showed how populations in the poorest communities of London seemed to irrationally have both more babies per capita as well as more deaths. This seemed odd at the time precisely because it lacked what many might refer to as an 'ordered' rationale. Shouldn't poor people rationally opt to have less babies since they cannot afford to raise them in their impoverished condition?Obvious Leo wrote:That this proposition is false is a truth first discovered by Anaximander and re-discovered by Charles Darwin. Throughout the 20th century it was elaborated into a formal mathematical framewor called non-linear dynamic systems theory, from which the term "complexity from chaos" derives.Lawrence Crocker wrote:the idea that order really shouldn't be able to arise out of disorder,
The stats showed that death was at a higher rate their too. So Darwin extended this reasoning to all animals in nature where struggle exists. To him, he realized that death was the norm, not the exception, to species. He also reasoned that the since populations of species that struggle more would have to require having a higher rate of births to compensate for the deaths that would otherwise kill them off as a species should they NOT have more offspring. And so he reasoned further that it was just the relative 'accident' of those species to reproduce more that enabled them to survive as a species. This goes against our concept of purposeful ordering or some special favoritism of nature itself to decide which species will evolve. Instead, selection is an accidental process of nature that only allows things to evolve if they 'fit' (meaning match, not the interpretation of one having fit = 'good' or better genes) within the given environment.
I understand you completely by thinking that Darwin's idea to supersede spontaneous generation theories as well as the religious ones are akin to your interpretation of Chaos in that the old theories act to "pre-determine" what we follow in a strictly fated line. Yet I disagree that Darwin's theory fits appropriately to back Chaos theory for reasons I already tried to convey before that I don't see you understanding.
I disagreed with Chaos Theory because it still poses each contemporary point in time as a 'source' to which alternative ("non-linear") options exist (by your interpretation of the theory). But if each point in time in any present is allowed to have the ability to move forward from there (supposedly a point of "self-organizing" or self-determining", this is equivalent to accepting each point everywhere on the time line as having at least two options to choose from out of what is possible. But this is precisely what "indeterminism" via nature, not one's personal whims, mean by those arguing for indeterminism mean (like QM). That is the existence of such options to nature are what provides the ability to be both, even though only one can be observed to be true in our particular universe. If such options by nature are only illusive, than whatever anyone or thing appears to 'opt' for must be the ONLY possibility which reduces our given universe to be strictly a linearly determined mechanism.
If and only if Chaos Theory is correct, it is based on a REAL and fixed initial state, not any sets of multiple points in time such as each present moment. As such, the only such point is at some initial condition of a universe that had a beginning. Your universe is infinite though and so cannot even have any such initial state anywhere in time. Thus you can't defend Chaos Theory in your view here.
Darwin was still in a culture that thought of determinism or indeterminism as strictly exclusive realities. We either have free choice everywhere or a fated type of determinism whether it be by nature or by individual humans. This is clearly why he opted to introduce his theory using an 'Artificial' example of Selection as an inferred direct analogy to "Natural" Selection to begin his proof. He saw both as products of equivalent truths in contrast to most who thought both as aspects of "free will".
Chaos Theory is attempting to accept both but requires only one unique initial state of indeterminism for all time at a beginning. The butterfly effect is a bad idea to use because it accidentally made those like yourself think that any point in time is equally a valid "initial" point. It is not possible for a butterfly to have options to flap or not flap in Chaos Theory because it is not a literal initial state but only a relative one.