Fantastic points! It is a joy for me to see someone else understand the paper so well. I'm not sure anyone ever has. Lets go over the points you made.
Point 1: Differentiation is a product of error.
When I see a cup, it is the error of my perception. If I could see more accurately, I would see atoms, or protons/neutrons/electrons or what have you, and, thereby, the distinction of cup from the air surrounding it becomes less and less clear. Perfectly accurate eyes are just as blind as perfectly inaccurate eyes: differentiation only occurs somewhere in between those two possibilities. — Bob Ross
Instead of the word "error" I would like to use "difference/limitiations". But you are right about perfectly inaccurate eyes being as blind as eyes which are able to see in the quantum realm, if they are trying to observe with the context of normal healthy eyes. Another contextual viewpoint is "zoom". Zoom out and you can see the cup. Zoom in on one specific portion and you no longer see the cup, but a portion of the cup where the elements are made from.
Fortunately, we are no only bound to sight with our senses. Not only do we have our natural senses, we can invent measurements to "sense" for us as well. Sight is when light is captured in your eyes, and your brain interprets it into something meaningful. Same with measurements at the nano, or macro level, are the same.
Therefore, a lot of beliefs are both applicable knowledge and not applicable knowledge: it is relative to the scope. — Bob Ross
You've nailed it, as long as its realized what is applicable is within the contextual scope being considered. I can have applicable knowledge in one scope, but not another. This applies not only to my personal context, but to group contexts as well. In America at one time, swans were defined as being white, and applicably known as such. In Western Australia, "swans" can be black. Each had applicable knowledge of what a swan was in their own context, but once the contexts clashed, both had new challenges to their previous applied knowledge. The result of that, is within the context of world wide zoology, swans can be both black or white.
For example, the "cup" is a meaningful distinction, but is contradicted by reality: the more accurately we see, or sense in general, the more the concept of a "cup" contradicts it. Therefore, since it technically contradicts reality, it is not applicable knowledge. However, within the relative scope of, let's say, a cup on a table, it is meaningful to distinguish the two even though, in "reality", they are really only distinguishable within the context of an erroneous eye ball. — Bob Ross
If you remove the word error, and replace it with "difference" I think you've nailed this. Within the context of having human eyes, we see the world, and know it visually a particular way. We do not see the ultra violet wavelength for example. In ultra violet light, blue changes to white. So is it applicably known as blue, or white? Within the context of a human eyeball, it is blue. In the context of a measurement that can see ultraviolet light, it is white. Within the context of scientific reflective wavelengths, it is another color. None are in error. They are merely the definitions, and applicable knowledge within those contextual definitions.
Point 2: Contradictions can be cogent. — Bob Ross
I would like to alter this just slightly. Contradictions of applicable knowledge can never be cogent within a particular context. If there is a contradiction within that context, then it is not deduced, and therefore not knowledge. If two people hold two different sets of distinctive knowledge, but both can apply them within that particular context and gain applicable knowledge within that set of distinctive knowledge, then they are not holding a contradiction for themselves. But if two people are using the same distinctive context, then they cannot hold a contradiction in its application to reality.
The real conflict is the conflict of which distinctive knowledge to when there is a conflict. I'll try not to repeat myself on how distinctive contexts are resolved within expanded context, but the examples I gave in part 3 show that. If you would like me to go over that again in this example, and also go point by point on your example, I will. I'm just trying to cover all of your points at a first pass, and I feel getting into the point by point specifics could be too long when trying to cover all of your initial points. Feel free to drill into, or ask me to drill further into any of these points more specifically on your follow up post.
Building off of point 1 and 2, the distinction between an accidental and essential property seem to be only different in the sense of scope. I think this is the right time to invoke Ship of Theseus (which you briefly mention in the original post in this forum). — Bob Ross
Nailed it. And with this, we have an answer to the quandary that Theseus' ship posed. When is a ship not a ship anymore? Whenever we decide its not a ship anymore within the scale of context. The answer to the question, is that there is no one answer.
For example, one society could state that both the original parts, and replaced parts, are Theseus' ship. However, the ship that is constructed with the newest parts is the original ship. So if two ships were built, Theseus ship would be the newest part ship, while the oldest part ship would be another ship made out of the originals old parts.
Another society could reverse this. They could say that once a ship has replaced all of its old parts, it is no longer the original ship anymore, and needs to be re-registered with the government. This could be due to the fact that the government assures that all vessels are sea worthy and meet regulation, and it figures if all of the original parts are replaced, it needs to be re-inspected again to ensure it still meets the regulatory standards.
It is a puzzle that has no specific answer, does have specific answers that fulfil the question, but has puzzled people because they believed there was only one answer.
What is essential and accidental in each is within the context of each society. For accidental properties, perhaps society B wasn't detailed enough, and it turns out you can replace "most" of a part of a ship, like an engine besides one cog, and that's still "The original engine with a lot of pieces replaced on it." In society A, they might say "Its a new engine with one old piece left on it". In the first case it is essential that every piece be replaced for something to be considered a "new" part, while in the later, a few old parts put on a new part still means its a "new part with some old pieces".
There is another type of induction: "ingrained induction". You have a great example of this that you briefly discuss in the fourth essay: Hume's problem of induction. Another example is that the subject has to induce that "this" is separate from "that", but it is an ingrained, fundamental induction. — Bob Ross
Recall that the separation of "this" and "that" is not an induction in itself, just a discrete experience. It is only an induction when it makes claims about reality. I can imagine a magical unicorn in my head. That is not an induction. If I believe a magical unicorn exists in reality, that is a belief, and now an induction.
Now you could argue that in certain cases of discrete experience, we also load them with what you call "ingrained inductions". Implicitly we might quickly add, "that exists in reality" and "this exists in reality". You are correct. Most of our day to day experiences are not knowledge, but inductions based off of past things we've known, or cogently induced. Its much more efficient that way. Gaining knowledge takes time experimentation, and consideration. The more detailed the knowledge you want, the more detailed the context, and the more time and effort it takes to obtain it.
And that is ok. I do not carry a ruler around with me to measure distance. Many times I estimate if that is a few feet with my eyeball. And for most day to day contexts, that is fine. Put me in a science lab, and I am an incompetent who should be banned. Put me in a situation in which I need to know that the stream is a little under a foot wide, and I can easily cross, and I am an efficient and capable person.
For example, the fact of gravity (not considering the theory or law), which is an induction anchored solely to the "ingrained induction" — Bob Ross
Hm, I would ask you to specify where the induction is. Gravity is not a monolith, but built upon several conclusions of application. Is there a place in gravity that has been applied, and found to be inconclusive? The induction is not what gravity claims to describe itself as, the induction would be in its application. Off the top of my head I could state the idea that "Gravity is always applying a pull from anything that has mass to every other mass in the universe" an induction for sure. That does not negate its application between particular bodies we can observe.
But more to your point, I believe the theory allows us to more clearly identify what we can conclude as knowledge, and what we can include as cogent, and less cogent inductions. It may require us to refine certain previous assumptions, or things that we have unintentionally let slide in past conclusions. As science is constantly evolving, I don't see a problem with this if it helps it evolve into a better state. If you would like me to go into how I see this theory in assisting science, I can go into it at a separate post if desired.
The properties and characteristics that are apart of discrete experience do not in themselves prove in any way that they are truly differentiating factors: the table and the chair could, in reality, be two representations of the same thing, analogous to two very different looking representations of the same table directly produced by different angles of perspective. — Bob Ross
By discrete experience and context, they can, or cannot be. Recall the situation between a goat and a sheep. If I include what a goat is under the definition of a sheep, I can hold that both a goat and sheep, are a "sheep" The reason why we divide up identities into smaller groups of description is that they have some use to us. It turns out that while a goat and sheep share many properties, they are consistently different enough in behavior that it is easier and more productive to label them as two separate class of animals.
The idea that the table and chair are two separate things is not a truth in reality apart from our contexts. So there could be a context where chair and tables are separate, or they are together as a "set". We can identify them as we like, as long as we are clear with our identities, and are able to apply them to reality without contradiction.
Point 6: Induction of possibility is not always cogent
You argue in the fourth essay that possibility inductions are cogent: this is not always the case. — Bob Ross
Cogency is a way to define a hierarchy of inductions. But an induction is still always an induction. Its conclusion is not necessarily true from the premises. Just because something existed once, does not mean it will ever exist again. We know its possible, because it has at least existed one time. So in the case where you have a memory of iron floating on water, as long as you believe in the accuracy of your memories, you will reasonably believe it is possible for iron to float on water.
Of course, when you extended that context to another person, you would be challenged. Person after person would state, "No, I've never seen or heard of any test that showed iron floated on water." What you do is your choice. You could start doubting your memory. You could start testing and see that it fails time and time again. You are the only one in the world who thinks its possible, while the rest of society does not.
And finally, inductions are not more reasonable than deductions. If you believe it is possible for iron to float on water, but you continually deduce it is not, you would be holding an induction over a current deduction. You might try to explain it away by stating that it was possible that iron floated on water. Maybe physics changed. Maybe your memories are false or inaccurate. And as we can see, holding a deduction as the greater value than the induction, gives us a reason to question our other inductions instead of holding them as true.
And for our purposes, we might indeed be able to prove that their memories are false. Surely they had memories of parents. We could ask the parents if they knew of his birth. They would quickly realize they did not have an id, or a record of it anywhere in society. Once the memories were seen as doubtful, then they could not be sure they had actually seen iron float. At that point, its plausible that the person's memories of iron floating on water were applicably known, but it has been reduced from a possibility, and is even less cogent now then affirming the deduction of today, that iron does not float on water.
Point 7: the "I" and the other "I"s are not used equivocally
Here's where the ternary distinction comes into play: you cannot prove other "I"s to be a discrete experiencer in a holistic sense, synonymous with the subject as a discrete experiencer, but only a particular subrange of it. You can't prove someone else to be "primitively aware", and consequently "experience", but only that they have the necessary processes that differentiate. In other words, you can prove that they differentiate, not that they are primitively aware of the separation of "this" from "that". — Bob Ross
You may be correct. We would need to clarify the terms and attempt to apply them to reality. And that's fine. As for this line, " In other words, you can prove that they differentiate, not that they are primitively aware of the separation of "this" from "that", yes I can. Differentiation within existence is "primitive awareness". Lets not use that phrase anymore if it causes confusion. If we don't have solid definitions between us, we won't match up in the context of discussion.
Another thing to consider, is I don't need to prove anything deeper in the "I" then I did in that context. If you read the paper and understand the concepts, are you a discrete experiencer? Can you deduce? Can you take the methodology, apply it, and it comes away with consistent results that give you a useful tool to interact with reality in a rational manner? It is there to prove yourself. If you can understand the paper and follow its conclusions, then you have actively participated in the act of distinctive and applicable knowledge. If you want to produce another "I" for your own personal context, there is nothing stopping you, or contradicting the "primitive I" in the paper.
What I want to take away from this instead of debating over an "I" is a broader concept that there will be some things that we cannot applicably know based on the context we set up. Will I ever applicably know what it is to discretely experience as you do? No, nor you for I. But can I applicably know that this is impossible? Yes. Applicably knowing our limits is just as important. Calculus was invented to measure limits of calculation, where the calculation eventually forms an asymptote of results. While I may not be able to know what its like to discretely experience as yourself, I can know you discretely experience, and use that knowledge to formulate a tool that can evaluate up to our limits.
There is my massive reply! Out of all that, pick 2 that you would like me to drill into for the next response. When you are satisfied with those, we can go back and drill into two more, so I don't approach the questionable limits of how much I can type in one post! Wonderful contributions as always.