Another fantastic set of posts Bob! Lets get into your points.
Firstly, I think we need to revisit the "distinctive" vs "applicable" knowledge distinction holistically because I am still not understanding why it is important. — Bob Ross
This is fair, I really didn't go into it last post as I had initially intended. Deductions are knowledge, period. However, if there's one thing I think we can conclude from the epistemology, its the reasoning and path we take to get there that matters as well. This is why there is a hierarchy for inductions. This being the case, I see an identifiably different type of knowledge when we deduce the end result of an induction.
Likewise, I don't think "applicable knowledge", in the sense of a deduced conclusion pertaining to an induction, has any actual relations to the induction. The induction and deduction are completely separate: mutually exclusive. — Bob Ross
Applicable knowledge is the deductive result of an induction. It is not a deduction that follows an induction.
I believe the next penny flip will be heads. (Induction) ->
I have a penny in my pocket. (Deduction)
In this case, yes, though a deduction followed an induction in terms of the thought process, they are not connected. A connected deduction is the result of the induction.
I believe the next penny flip will be heads. (Induction) ->
I flip a penny I found in my pocket and it turns up tails. (Deduction)
It is not the deduction alone which is applicable. It is the combination of the induction, and its result. The deduction, by itself, would be distinctive. We are not analyzing the deduction itself, we are analyzing the steps it took to get there.
So why is this an important/needed distinction? Because it can help us realize our limitations. I noted earlier that one can create a fully deductive abstract in one's head. I could create an entire world with its own rules, laws, math, and it be a purely deduced achievement. A set of knowledge which has no inductions with deduced resolutions in its chain of reasoning is circumspect. The reality is we face uncertainty constantly. Our deductions which are reasonable at the time, may be countered in the face of new information. Part of reality is uncertainty, and our reasoning should reflect that. Arguably, the uncertainty of life is why we have the concept of knowledge at all. If there was no uncertainty in whatever we concluded, wouldn't we already know everything?
Lets look at science. Science is not a success because it has carefully crafted deductions. It is a success because it has concluded carefully crafted deductions to inductive situations. Science seeks not to deduce, but to induce and then find the result. Science's conclusions are essentially applicable knowledge.
So this is tricky. If by "doubt everything" you mean that everything is technically falsifiable, then yes I agree. — Bob Ross
I meant it as purely the emotional sense of doubt. You can doubt anything, whether its reasonable or unreasonable to do so. Yes, we are in agreement that despite having doubts, one can reasonably conclude that one's doubt is unfounded or incorrect. So to clarify, I was not talking about a reasonable doubt, which is limited, but the emotional non-reasonable doubt. In this epistemology, reasonableness is not a requirement of any person, it is always a choice. However, their unreasonable choices cannot counter a reasonable argument for those who are reasonable.
In regards to hypothetical deductions, I believe we are in agreement! It just seems we had some slight misinterpretations of what each meant.
1. IF an essential property of cats is they are green. — Bob Ross
It depends on how this is read. If we are reading this as "if this is true", then yes, this is simply an abstract premise and a deduction. If however this was read with the intention that we do not know the resolution, "An essential property of cats is they could, or could not be green", then it is an induction.
Basically the IF alone is ambiguous to the user's intent. Does IF mean, "I don't know the essential property" or, "Assume an essential property is X". In the former, if we are to apply it to actual cats, then we must decide what the essential versus accidental properties of a cat are. If not, then we have an induction. In the latter, we have a deduction because we have concluded the essential property of a cat is X, and if we discover something that has all the other properties but X, we will say that creature is not a cat.
From your answers, I think we are in agreement here on this breakdown. Please let me know if I'm incorrect here.
I want to use the example of logical 'if' conditionals to demonstrate the reason why I separate the two knowledges. I can craft distinctive knowledge that avoids an induction. So I can state, "Assume that the essential property of a cat is that its green." I'm putting a hypothetical outcome to an induction, not a deduced outcome of an induction. The hypothetical property can be a part of a deduction, but it is a deduction that has avoided the test of induction.
In the second case where I state, "The next cat I will see will be green", I am putting something testable out there. Hypotheticals are possible deduced solutions to that test. So I could deduce the conclusion that I would be correct if I found the next cat was green, and I could deduce a conclusion if it was the case that the cat is not green. But neither of those deductions are the resolution to the induction itself. They are deductions about what is possible to conclude from an induction, but they are not the deduced result of the induction itself. I find this distinction key to avoid ambiguity when someone claims they "know" something.
Finally, this is important to note when someone changes their definitions. If I claimed, "The penny will flip heads" and the result was that it was tails, the deduction from that conclusion is that the penny landed on tails. Afterward, if I decided to flip the meaning of heads and tails in my head, that would be new distinctive knowledge. The applicable knowledge still stands. "When my definition of heads was this state, the resolution was it landed on tails. After, I changed the definition of heads and tails."
Without first resolving the induction based on one's distinctive knowledge claims one had when they made the induction, then someone could attempt to claim, "Since I changed my definition of heads to tails, my induction was correct." But, the induction was not correct based on the distinctive knowledge at the time. In this, applicable knowledge acts as a historical marker of one's chain of thoughts.
If however, we pull another person into the equation, a society with written rules, then we have an evolution. I cannot conclude whatever I want. I must make an induction, a belief about what society will decide. The answer to that, is applicable knowledge. Even then, the abstracts of society that it creates, that I must test my beliefs against, are its distinctive context, not applicable context.
The same critique you made of solo contexts applies to societal contexts: I can deny whatever society throws at me, just like I can deny whatever I throw at myself. Ultimately I have to decide what to accept and what not to. If someone else came up with:
1. IF an essential property of cats is that they are green
2. IF an essential property of bob is that they are a cat
3. THEN bob is green
We are still in the same dilemma. I don't think the process is as different as you may think. — Bob Ross
You are correct in that we can decide to reject societies' definitions. But what we cannot do is claim applicable knowledge of, "Society doesn't actually believe that the color of a cat is non-essential" I can distinctively know my own definitions. I can distinctively reject societies definitions. I could distinctively know that society does not define something a certain way. But I cannot applicably know that society defines something a certain way, when the result of that claim would show that they deductively do not.
You could decide to never be convinced of anything
This is true in the sense that I can be convinced that I am not convinced of anything, however I am definitively wrong because I am thereby convinced of something. The danger of the mind is that it can fail to grasp things, not that it can do whatever it wants. Reason is not relative, it is absolute in relation to the subject at hand. I can utter and be convinced that "pon is false", but thereby it is true. — Bob Ross
Correct, if you decide to use reason, then you cannot reasonably be convinced that you are not convinced of anything. If you decide not to use reason, then you can. Its like a person who states, "Everything is absolute". Its completely unreasonable, but there are some who forego reasonableness, even when it is pointed out, and insist on their belief. Fortunately, we can use reasonableness, but this does not deny the fact that a person can reject all that in favor of what we might call insanity.
I suppose what I'm getting at in these "A person can feel or do X" is that there is nothing as an essential property of a person that requires them to be reasonable. There are unreasonable people that we still label as people. Holding reasonable positions is non-essential, meaning if a human is biologically or willingly an unreasonable person, there is nothing we can do to make them. A reasonable person will likely live a much better life, but may find the revocation of reasonableness in certain situations to be more profitable to what they desire.
I would also like to note very briefly that we have been kind of ignoring our friend "abductions", which is not an "induction" nor a "deduction". I'm not sure where you have that fit into this equation: is it simply merged with inductions? — Bob Ross
I think so. My understanding of abductions is that it is an induction that is the most reasonable one a person can hold given a situation. From the Stanford Encyclopedia, "You may have observed many gray elephants and no non-gray ones, and infer from this that all elephants are gray, because that would provide the best explanation for why you have observed so many gray elephants and no non-gray ones. This would be an instance of an abductive inference."
-https://plato.stanford.edu/entries/abduction/#DedIndAbd
With the inductive hierarchy, an abduction would simply be choosing the most cogent induction in a situation. If you considered the color of the elephant non-essential, this would be an induction. This could also be considered simply distinctive knowledge. If you consider the color of the elephant essential, then upon discovery of a pink elephant, you would call it something else from an elephant, or amend the definition to make the color of an elephant non-essential. It is our chain of reasoning to conclude what we are stating that determines its classification.
I think where we disagree fundamentally is that you seem to be positing that we control reason (or our thoughts or something) in the abstract, but we do not. I do not decide to part and parcel in a particular way, it just manifests. There are rules to abstract though (again, pon). I can linguistically deny it, but nevertheless my reason is grounded in it. I cannot literally conjure whatever I want, because conjuring follows a set of rules in itself. — Bob Ross
Yes, there are aspects about ourselves that we may not have control over. I did not want to state that because we have the power to part and parcel existence, that it is something we always have control over. For example, there are people who are unable to recognize faces. People who are unable to visualize in their mind. This is the applicable context from which we are limited or given the gift of creating distinctive knowledge. Being reasonable is not a fundamental of being human. If it is, I have not been able to prove it so far.
Despite cases in which you cannot easily decide to part and parcel, there are other instances in which you can. Look at one of your keys on your keyboard. Now look at the letter. Now look at any space next to the letter. Draw a circle in your mind around that space. You could if you wish mark a circle, and have created a new identity on that key. You can look at my writing. The page. The screen. The computer system. The room. You can focus and unfocus, and create new identities distinctively as you wish.
There must be something outside of our own power and agency that creates a conclusion that does not necessarily follow from the premises we've created.
It seems like you are arguing you do have power over your thoughts (and potentially imagination): I do not think you do. They are all objects and reason is the connections, synthetic and analytical, of those objects. — Bob Ross
No, I am noting that while we have an incredible amount of power within our own agency, there are things outside of our control. I cannot fly with my mind alone, no matter how much I imagine I can. I cannot bend my limbs past a certain point. But I can imagine that I am able to. I have a world I can create, a logic I can form, and conclusions that will never apply to reality, but be valid in my mind.
Moreover, if I have a deduction, and it is sound, then nothing "outside of my power" (whatever that entails) cannot reject it (in the sense that "reality" rejects what "I want", or what have you). The deduction is true as absolutely as the term "absolute" can possibly mean. Inductions (and abductions) are the only domains of reasoning that can be rejected. — Bob Ross
True, and that is because we have defined it as such. We are being reasonable, constructing definitions, and holding to them to create a logic. But, someone could create entirely different definitions for deductions and inductions. Still, according to the epistemology, we could hold them to a rational standard that results from those amended identities. It is why epistemology is so important. It is a rational standard for which we can debate about what we can know and not know, when the human race by nature, has no standards besides what they themselves or a contextual group would hold them to. We are trying to create a standard that can elevate itself beyond individuals or groups, but can also note what those individuals and groups distinctly and applicably know. Does it meet this standard? Perhaps, but it is an ongoing test and challenge.
I also want to address something again. The idea of something "outside of my power". Basically there are things we cannot will. And you agree with me by stating there are things you cannot choose to part and parcel. Can it be granted at this point that we both believe there are things outside of our mental control?
For example, let's use your "Go Fish" example. Abstractly, I can determine that a game, which I will define as "Go Fish", is possible according to the rules I subject it to: thereby I "know" "GoFish" is possible in the abstract. However, as you noted, it is an entirely different claim to state that "Go Fish is possible non-abstractly" (as I conjured up "Go Fish" according to my rules) (e.g. it turns out a totalitarian regime burned all the playing cards, what a shame, or my rules do not conform to the laws of nature). I think, therefrom, you are intuitively discerning two forms of knowledge to make that meaningful distinction. — Bob Ross
I believe this is correct.
the claim of knowledge towards abstract "Go Fish", and more importantly the "cards" therein, is a completely different conception than "cards" being utilized when claiming "Go Fish is possible non-abstractly". The conflation between the two (what I define abstractly as "a card" along with its existence presupposed in reference to the abstract vs what coincides non-abstractly) is what I think you are trying to warn against. I may define "card" as "floating mid-air" and quickly realize that this is only possible in relation to "abstract cards" and not "non-abstract cards". — Bob Ross
Also correct!
Consequently, "distinctive" and "applicable" are the exact same. If I claim that "Go Fish is possible abstractly", I know this deductively. If I claim that "Go Fish is possible non-abstractly", I also know this deductively. — Bob Ross
Correct in that both are deductions. I hope I clarified here that the real distinction is the in the chain of reasoning.
Distinctive knowledge: Discrete experience or
A deduction that leads to a deduction.
Applicable knowledge:
An induction that leads to a deduced resolution
In other words, it is possible to ground an induction in knowledge (deductions), but not possible to ground a deduction in beliefs (inductions): the relation, therefore, is uni-directional. — Bob Ross
Correct. But we can obtain the actual outcome of the induction. When an induction resolves, we have the outcome.
This result in relation to the induction is the special category of applicable knowledge.
Furthermore, I now can explicate much more clearly what the hierarchy of inductions is grounded upon (assuming I am understanding correctly): the induction with (1) the most knowledge (deductions) as its grounds and (2) no dispensable entities is the most cogent within that context. — Bob Ross
The first part is part of the reason, but I did not understand what a "dispensable entity" was.
But an even deeper dilemma arises: the claim, and I would say key principle, underlying the hierarchy itself is an induction (to hold that the inductions that are more acquainted with, grounded in, knowledge is an induction, not a deductively concluded principle). Which inevitably undermines the hierarchy, since there is necessarily one induction (namely inductions grounded in more knowledge are more cogent) which is outside of the induction hierarchy (since it is itself contingent on it in the first place: we construct the hierarchy from this very induced principle). So, we do not "know" that the hierarchy of inductions is true, under your epistemology — Bob Ross
We distinctively know the hierarchy of inductions, we do not applicably know if the claim is true. That would require testing in a lab. I've given the arguments already for why the hierarchy exists. If we want to revisit it, we can, but this is enough to cover for now. Thanks again Bob, great points, and always feel free to post more if you have new thoughts and I haven't followed up yet!