So I think I have identified our fundamental difference: you seem to be only allowing what is empirically known to be what can be "known", whereas I am allowing for knowledge that can, along with what is empirical, arise from the mind. — Bob Ross
No, not at all! There are two types of knowledge. Applicable knowledge, and distinctive knowledge. What you have been trying to do, is state that distinctive knowledge can be applicable knowledge without the act of application. This is understandable, as "knowledge" in general use does not have this distinction. But here, it does. And in the study of epistemology, I have found it to be absolutely necessary.
For example, try applying without contradiction (in the sense that you seem to be using it--empirically) the principle of noncontradiction. I don't think you can: it is apodictically true by means of reason alone. — Bob Ross
As an abstract, you can distinctively know the principle of non-contradiction. To apply it, you must create a specific example. For example, if I stated, this color red, is both the color red, and blue at the same time, I can test it. I look at the color, find it is red, and that it is not blue. Therefore that color right there, cannot be both red and blue at the same time.
Distinctively, I can imagine the color red, then the color blue, and determine that the color I am envisioning in my head cannot both be the color red I am envisioning, and the color blue I am envisioning. This is known to me, as I am contradicted by my inability to do it.
But, what if I smell a color? For example, I smell a flower whenever I envision purple in my head. I distinctively know this. However, if I point out a purple object and I don't smell flowers, then I cannot say I applicably know that the color purple in reality smells like flowers. Does this make sense? I can distinctively know that when I envision a color, I also imagine a smell. But that doesn't mean that happens if I apply that to reality.
Furthermore, try proving space empirically: I don't think you can. Space, in one unison, is proven apodictically (by means of the principle of noncontradiction) with reason alone. — Bob Ross
No, space in application, is not proven by distinctive knowledge alone. I can imagine a whole set of rules and regulations about something called space in my head, that within this abstract context, are perfectly rational and valid. But, when I take my theory and apply it to a square inch cube of reality, I find a contradiction. I can distinctively have a theory in my head that I know, but one that I cannot apply to reality.
The notions of space that we use in application today, such as the idea of an "inch", have all been applied to reality without contradiction. There are many distinctively known ideas of space that have not been applied. String theory, field theory, and multiverse theory are all theories of space you can distinctively know in the abstract. But they cannot be currently known in application.
Recall that I can distinctively know 1 and 1 are two. But what is that in application? 1 what? 1 potato and 1 potato can be applicably known as two potatoes. That is the key I think you are missing.
If we have a mathematical formula, we can "know" it will work in relation to the "external" world regardless of whether it actually is instantiated in it. — Bob Ross
What I am saying is you can distinctively know that if you have an identity of 1, and an identity of 1, that it will make an identity of two. But if you've never added two potatos before, you don't applicably know if you can. While this may seem silly, lets take it to something less silly now. I have two Hydrogen atoms and 1 Oxygen atom together. What do I mean by this in application? Are they in orbit to make a molecule of water? Are the electrons orbiting slowly to be ice? Are they simply in a certain proximity? It it just Hydrogen and Oxygen in the air together? We can imagine all of these abstractly and know in our context of logic and the rules of chemistry the answers. But when we test actual Hydrogen and oxygen, our abstract rules must be applied to applicably know the answers for those specific atoms in reality.
I was inclined to adamantly claim it(inductions are knowledge) is, but upon further contemplation I actually really enjoy the idea of degrading inductions to beliefs with different credence levels (and not knowledge). — Bob Ross
Understandable! Yes, inductions are essentially beliefs of different credence levels.
However, I think there may be dangers in this kind of approach, without some means of determining something "known" — Bob Ross
And that is why there must be a declaration of what can be known first. I establish distinctive and applicable knowledge, and only after those are concluded, can we use the rules learned to establish the cogency of inductions. Without distinctive and applicable knowledge first, the hierarchy of inductions has no legs to stand on.
I am not sure how practical this will be for the laymen--I can envision everyone shouting "everything is just a belief!". — Bob Ross
The layman already misuses the idea of knowledge, and there is no rational or objective measure to counter them. But I can. I can teach a layperson. I can have a consistent and logical foundation that can be shown to be useful. People's decision to misuse or reject something simply because they can, is not an argument against the functionality and usefulness of the tool. A person can use a hammer for a screw, and that's their choice, not an argument for the ineffectiveness of a hammer as a tool for a nail!
Likewise, it isn't just about what is more cogent, it is about what we claim to have passed a threshold to be considered "true". — Bob Ross
I want to emphasize again, the epistemology I am proposing is not saying knowledge is truth. That is very important. A common mistake people make in approaching epistemology (I have done the same) is conflating truth with knowledge. I have defined earlier what "truth" would be in this epistemology, and it is outside of being able to be applicably known. I can distinctively know it, but I cannot applicably know it.
To note it again, distinctive and applicable truth would be the application of all possible contexts to a situation, and what would remain without contradiction after it was over. Considering one human being, or even all human beings could experience all possible contexts and apply them, it is outside of our capability. But what we can do is take as many contexts as we can, apply them to reality, and run with what hasn't been contradicted yet. While what is conclude may not be true, it is the closest we can rationally get.
I find myself in the same dilemma where the theory of evolution and there being a teapot floating around Jupiter are both speculations. What bothers me about this is not that they both are speculations, but, rather, that there is no distinction made between them: this is what I mean by the epistemology isn't quite addressing the most pressing matters (most people will agree that which they immediately see--even in the case that they don't even know what a deduction is--but the real disputes arise around inductions). This isn't meant as a devastating blow to your epistemology, it is just an observation that much needs to be addressed before I can confidently state that it is a functional theory (no offense meant). I think we agree on this, in terms of the underlying meaning we are both trying to convey. — Bob Ross
I fully understand and respect this! I believe this is because you may not have understood or forgotten a couple of tenants.
1. Inductions are evaluated by hierarchies.
2. Inductions also have a chain of reasoning, and that chain also follows the hierarchy.
3. Hierarchies can only be related to by the conclusions they reach about a subject. Comparing the inductions about two completely different subjects is useless.
To simplify, if I have a possibility vs a plausibility when I am rationally considering what to pursue, I can conclude it is more rational to pursue what I already know is possible. That doesn't mean being rational results in asserting what is true. Inductions are, by definition, uncertainties. The conclusion does not necessarily follow from the premises. Sometimes people defy what is possible, pursue what is plausible, and result in a new discovery which erases what was previously applicably known.
Of course, when the person decided to pursue what was only seen as plausible, and against what was possible, society would quite rightly claim that the pursuit of what is plausible is not rational. Rationality is incredibly powerful. But depending on a person's context, and the limits of what they already known, it is not the only tool a person needs. Sometimes, it is important to defy and test what is rational. Sometimes, in fact, many times, we are simply in a position where we are certain that the outcome is uncertain, and must sometimes make that leap into the next second of life.
But, making that leap without some type of guideline, would be chaos and randomness. So we can use the hierarchy and the chain of reasoning to give us some type of guide that more often than not, might result in less chaos and more order.
So, I can first know that the hierarchy is used in one subject. For example, we take the subject of evolution. We do not compare inductions about evolution, to the inductions about Saturn. That would be like comparing our knowledge of an apple to the knowledge of a horse, and saying that the knowledge of a horse should have any impact on the knowledge of this apple we are currently eating.
So we pick evolution. I speculate that because certain dinosaurs had a particular bone structure, had feathers, and DNA structure, that birds evolved from those dinosaurs. This is based on our previously known possibilities in how DNA evolves, and how bone structure relates to other creatures. To make this simple, this plausibility is based on other possibilities.
I have another theory. Space aliens zapped a plants with a ray gun that evolved certain plants into birds. The problem is, this is not based on any applicable knowledge, much less possibilities. It is also a speculation, but its chain of reasoning is far less cogent than the first theory, so it is more rational to pursue the first.
When plausibilities are extremely close in hierarchy through their chain of reasoning, it is more palatable to take the less rational gamble. So for example, lets say we take the first theory, and change it to, "Perhaps our current understanding of how bones evolve among species is false." And the reason we say this, is because we found a new mammal, and it might contradict our previous findings.
This plausibility is essentially only one step away from the the first theory, and most would say it is viable to pursue. However, if a person did not have the time or interest to pursue this speculation, it would still be rational to hold onto the possibilities that our current understanding of bone structure until the speculation is fully explored.
Your coins problem is extremely good!
He could abstractly reason that if he experienced 5 coins in a pocket of some size, that, considering mathematics in the abstract, it is possible for 5 coins to fit in a pocket that is greater than that size (assuming the pocket is empty): but he didn't experience it for the greater sized pocket. — Bob Ross
You have it correct. He can distinctively know that five coins should be able to fit into a pocket of LWD. He can measure the pocket from the outside and see that it is greater than LWD. But until he applies and attempts to put the five coins into that specific pocket, Smith doesn't applicably know if they can fit. Why? What if there is something in the pocket Smith wasn't aware of? What if part of it is sewn shut, or caught?
To sum it up, application is when we apply to a specific situation that is outside of our distinctive knowledge. We can make a thought experiment, but that is not an application experiment. Smith can have abstract distinctive knowledge about coins, pocket, dimenstions, and even Jones. Smith could conclude its probable, possible, speculate, or even irrationally believe that Jones has five coins in that specific pocket. But none of those are applicable knowledge. He can only applicably know, if he's confirmed that there are five coins in Jones pocket without contradiction from reality.
But notice that, within your terminology, Smith cannot claim it is "possible", "probable", or "irrational". Therefore, by process of elimination he is forced to use "speculation" — Bob Ross
Within the context you set up, you may be correct. But in another context, he can claim it is possible or probable. For example, Smith sees Jones slip five coins into his pocket. Smith leaves the room for five minutes and comes back. Is it possible Jones could fit five coins in his pocket? Yes. Is it possible that Jones did not remove those five coins in the five minutes he was gone? Yes. We know Jones left those coins in his pocket for a while, therefore it is possible that Jones could continue to leave those coins in his pocket.
The epistemology is not telling Smith to do what he wants. The epistemology recognizes the reality that Smith can do whatever he wants.
He can only do whatever he wants in so far as he doesn't contradict himself. If I can provide an argument that leads Smith realize he is holding a contradiction, then he will not be able to do it unless he uncontradicts it with some other reasoning. — Bob Ross
I really wish this was the case. People do things while contradicting their own rationality all the time. People do not have to be rational, or respect rationality in any way. You can conclude he Smith would be irrational using rationality. You could even explain it to Smith. Smith could decide not to care at all. There is absolutely nothing anyone can do about it.
We can somewhat resolve this if we consider "possibility", in the sense of "experiencing it once before", as "a deductively defined concept, with consideration to solely its essential properties, that has been experienced at least once before". That way, it is logically pinned to the essential properties of that concept. I may have the choice of deductively deciding concepts (terms), but I will not have as much free reign to choose what I've experienced before. To counter this would require the subject to come up with an alternative method that identifies equivalent objects in time (which cannot be logically done unless they consider the essential properties). — Bob Ross
Correct. But this is only if a person chooses to think and act logically. So to clarify, I can convince someone to do something rational, if they are using rationality (and of course, I'm actually being rational as well). But my being rational does not preclude they must be rational. And if they decide to not be rational, no amount of rationality will persuade them.
In summary, I can claim that contradictions do not arise in terms of time as well as structural levels. These are the only two aspects of contexts and, therefore, as of now, this is what I consider "context" to be. It is important to emphasize that I am not just merely trying to advocate for my own interpretation of "context": I am trying to derive that which can not be contradicted in terms of "context"--that which all subjects would be obliged to (in terms of underlying meaning, of course they could semantically refurbish it). — Bob Ross
I think you're getting the idea of contexts now. The next step is to realize that your contexts that you defined are abstractions, or distinctive knowledge rules in your own head. If we can apply those contexts to reality without contradiction, then they can be applicably known, and useful to us. But there is no one "Temporal context". There is your personal context of "Temporal". I could make my own. We could agree on a context together. In another society, perhaps they have no idea of time, just change.
To answer your next question, "What is useful", is when we create a context that can be applied to reality, and it helps us live, be healthy, or live an optimal life. Of course, that's what I consider useful. Perhaps someone considers what is useful is, "What makes me feel like I'm correct in what I believe." Religions for example. There are people who will sacrifice their life, health, etc for a particular context.
Convincing others to change their contexts was not part of the original paper. That is a daunting enough challenge as its own topic. In passing, as a very loose starting point, I believe we must appeal to what a person feels adds value to their lives, and demonstrate how an alternative context serves that better than their current context. This of course changes for every individual. A context of extreme rationality may appeal to certain people, but if it does not serve other people's values, they will reject it for others.
I think they can do whatever they want as long as they are not aware of a contradiction. Therefore, if I propose "context" as relating to temporal and mereological contexts, then they either are obliged to it or must be able to contradict my notion. My goal is to make it incredibly hard, assuming they grasp the argument, to deny it (if not impossible). Obviously they could simply not grasp it properly, but that doesn't negate the strength of the argument itself. — Bob Ross
I think you're getting it. Others decision to accept or reject your context has no bearing on whether that context serves yourself optimally for your own life. (Unless of course that rejection results in potential harm to yourself!) Further, a person's rejection of your context, is not a rejection of the rationality of the context. That stands on its own regardless of others input. Others input can introduce you to distinctive and applicable knowledge you may not have known prior, which can cause you to question and expand what you know. But there may be people who do not care, who are happy with their own little world as it gets them through their day. Perhaps they would be happier or more successful if they embraced a more rational or worldly context, but plenty of people are willing to embrace the devil they know instead of the angels they don't.
But with this, I also defend my epistemology. People's decisions not to use it, does not make it irrational or useless to other people who would like a rational approach to knowledge. For the epistemology to not be rational, it must contradict itself in application. So far, I don't think it has. But that doesn't mean we shouldn't keep trying to!
When you think of something in your head that you distinctively know is not able to be applied. For example, if I invent a unicorn that is not a material being. The definition has been formulated in such a manner that it can never be applied, because we can never interact with it.
But you can apply the fact that you distinctively know that it cannot be applied without ever empirically applying it (nor could you). So you aren't wrong here, but that's not holistically what I mean by "apply to reality". — Bob Ross
My inability to apply something, is the application to reality. When I try to apply what I distinctively know cannot be applied to reality, reality contradicts my attempt at application. If I were to apply what I distinctively know cannot be applied to reality, and yet reality showed I could apply it to reality, then my distinctive knowledge would be wrong in application. But when you lack any distinctive knowledge of how to apply it to reality, there is nothing you can, or cannot apply to reality. So by default, it is inapplicable, and therefore cannot be applicably known.
I think you are conflated two completely separate claims: the spherical nature of the earth and the size of the earth. The stick and shadow experiment does not prove the size of the earth, it proves the spherical shape of the earth. — Bob Ross
No, it at best proves the possibility that the Earth is round. If you take small spherical objects and show that shadows will function a particular way, then demonstrate the Earth's shadows also function that way, then it is possible the Earth is spherical. But until you actually measure the Earth, you cannot applicably know if it is spherical. Again, perhaps there was some other shape in reality that had its shadows function like a sphere? For example, a sphere cut in half. Wouldn't the shadows on a very small portion of the rounded sphere act the same as a full sphere? If you are to state reality is a particular way, it must be applied without contradiction to applicably know it.
It only undermines them if there are other alternatives in the hierarchy. If for example a scientific experiment speculates something that is not possible, it is more rational to continue to hold what is possible. That doesn't mean you can't explore the speculation to see if it does revoke what is currently known to be possible. It just means until you've seen the speculation through to its end, holding to the inductions of what is possible is more rational.
I sort of agree, but am hesitant to say the least. Scientific theories are not simply that which is the most cogent, it is that which has been vigorously tested and thereby passed a certain threshold to be considered "true". I think there is a difference (a vital one). — Bob Ross
Science does not deal in truth. Science deals in falsification. When a theory is proposed, its affirmation is not what is tested. It is the attempt at its negation that is tested. Once it withstands all attempts at its negation, then it is considered viable to use for now. But nothing is science is ever considered as certain and is always open to be challenged.
I think the rest of your post has been covered, and I would be repeating what has already been stated. Fantastic post again! Keen questions and great insights. I hope I'm adequately answering your points, and what I'm trying to point out is starting to come into view.