Let me begin by saying that I continue to be impressed by the care and effort you’ve put into your essays. You’ve clearly thought through your position in a systematic way, and I don’t think our disagreement is due to vagueness or oversight. Rather, I think your essay on knowledge and induction brings even more clearly into view where our philosophical commitments genuinely diverge, especially with respect to grounding and necessary existence. — Esse Quam Videri
Thank you, it is always humbling to have someone read a piece of work I've written and enjoy it. I suspected this might be the source of our differences in this thread, and I'm glad that was confirmed.
That said, I also want to apologize for the length of what follows. I’ve really done my best to try to understand your perspective and, in the process, have probably spent more time on this than I should have :smile: . — Esse Quam Videri
No apology necessary, I do not mind a good post from a thoughtful person.
First, your summary is spot on. I'll go into your concerns now.
My original concern was not simply whether we can justify claims about necessity in practice, nor whether science or everyday reasoning can proceed without positing something that exists necessarily. It was whether intelligibility itself - the fact that there is a stable, law-like, and explanatory order at all - can be ultimate yet ungrounded without remainder. — Esse Quam Videri
I hope I've put forth enough reasons why the first portion is still reasonable to hold. If that is so, I will focus on trying to answer the latter part, which I feel is the crux of your concern.
Your framework repeatedly appeals to the idea that beliefs must submit to contradiction by reality. But the authority of contradiction is not itself explained in instrumental terms. To say that belief ought to yield to reality is already to invoke a norm that is not merely convenient, but binding. — Esse Quam Videri
Correct. In the interests of the focus on the paper's length and scope, I dropped an analysis at the end which explored this very question. The reason is because this ends up exploring a moral notion of knowledge or, "How should we use it". If of course a person does not first understand how knowledge works within the paper, in the past introducing such questions can complicate the initial understanding and can lead to confusion. You have an appropriate grasp on the fundamentals, so this should not be a problem to explore.
Starting within the the self-context, why should we care about contradictions in our beliefs?
Your account presupposes an ongoing drive to refine distinctions, improve applicability, and prefer explanations that are more coherent and comprehensive. This dynamism is difficult to understand if intelligibility is merely accidental. It suggests that inquiry is oriented toward something more than survival or local success, but toward understanding as such.
If that orientation is legitimate at all, then the question of whether intelligibility has an ultimate ground reasserts itself. — Esse Quam Videri
I'll start with what I will conclude and explain why this is so. Knowledge as a tool at its base is about giving a person the best chance for survival. Knowledge as a tool is also the best way of finding out the truth through inquiry. Like a master survivalist with a multi-tool, precise and careful use can get a result that cannot be easily gotten without it. But holding a multi-tool does not make one a survivalist, nor mean the person has any motivation to master the tool if they are not in a situation where every aspect is demanded. The base of intelligibility is applying discrete experiences without contradiction for survival, but it can be used for far more than that.
What is truth? What 'is'. This is what exists despite our applications of discrete experiences. This is the first ultimate grounding of intelligibility. This starts from a very young age of figuring out what will kill you and what won't. If you eat a rotten apple, you'll get sick. Eat a delicious one, you don't. As such its beneficial to survival to construct an identity of food, an apple, and whether that apple is safe to eat or not.
The second ground of intelligibility is the ability to discretely experience. If you noticed while reading, its the foundation of math. Our ability to create a discrete, the mental establishment of 'one'. Math is the logic of discrete experiences combined with the notion of what contradicts them. 1 = 1. 1 does not = 2 because one discrete experience is not the same as two discrete experiences. This can be applied in blades of grass. I have 1 blade of grass, and the application of one blade of grass twice is 2 blades of grass. They cannot be equal, as reality contradicts the fact that one discrete experience is the equal in contextual quantity to the other.
These two things, discrete experiences and not being contradicted by reality are the necessary foundations of intelligibility. If a person could not discretely experience, I doubt they would be able to comprehend the world. Existence would be a sea of unfathomable separation. Having seen reports on acid trips where everything seems to become 'one', intelligibility begins to vanish with the final grouping of everything into one discrete.
But does a base of intelligibility require us as people to use it to its utmost potential? Not at all. Once basic survival is obtained, the incentive to spend time and energy on refining or furthering knowledge to discoveries outside of immediate practical use requires some other drive or goal. I believe it is an artifact of survival and later the adaptations to the complexities of being social creatures. Some of us are pushed further in our energy and attention in understanding our world beyond basic needs which has lead the the discoveries we have in modern day society.
But I am veering off from your points, so let me return to those.
You emphasize that the selection of essential properties and identities is up to the subject, and that distinctive contexts are not dictated by reality itself. Yet the success of application, the hierarchy of induction, and the very notion of “better” or “worse” reasoning presuppose a stable background structure that constrains which distinctions work and which fail. — Esse Quam Videri
I hope my point above leads to what this 'better' and 'worse' is. Since we have shown where math comes from, we can use math to see why.
First, lets start with deduction. Deduction relies on only what we can know (when I say 'know' it combines the distinctive and applicable together), and cannot rely on what we do not or cannot know. One important reason for this is that we have all encountered situations in which there was something outside of our personal knowledge that contradicted what we expected. Yet this can also happen with induction. Does that mean deduction is useless?
Lets say that I am aware of everything needed for a proper conclusion about reality. My discrete experiences have covered everything that is needed in truth to come to a conclusion without contradiction. If reality is concurrent with this, then I have made the right judgement. To put it another way, if I have all the information to apply to an object and say its a sheep, and it is a sheep, I will have been correct through careful reason that lead me to only one outcome being correct.
Let compare this to induction.
Induction like probability is an educated guess based on known knowledge deficiencies. When a person flips a coin by hand without trying to get it to land with any particular side, its not that there isn't a set of forces which will necessarily lead to it landing heads or tails. Its that we are unable to measure and know those forces prior to it landing. Meaning when we take everything into consideration, we deducae at best there's only a 50% chance that we can predict the correct landing side of the coin. Yet even with this deduced guess, the person is still in the same risky situation as the person using pure deduction. There can always be a missing experience or something outside of our knowledge that could reveal our cogent inductive claim is not going to have the outcome we predict.
Lets call this common uncertainty 'Doubt'. There is always Doubt in any claim, deductive or inductive, that the context has properly captured a complete enough understanding of reality that would not be contradicted if that full understanding were complete. Now lets look at comparing the two with doubt involved.
If a deduction removes doubt, it has a certain outcome of 1. In the most cogent induction, probability of the outcome not being contradicted by reality is always less than 1, as a probability of 100% is essentially a deduction. Since Doubt is equivalent in both the deductive and inductive case, when comparing the two for what is 'better' (to have a more reliably accurate outcome), we can remove Doubt as the common 'x' on both sides. 1 > Anything less than one.
Thus if one has the time and energy, it is more reasonable to favor deductions than inductions if you want the most consistently accurate outcome. A stable conclusion backed by the stable foundations of the ability to discretely experience. This is necessarily true no matter the viewpoint of the discrete experiencer.
By treating deduction as “what cannot be contradicted given current distinctions,” necessity becomes a local epistemic status rather than a metaphysical one. But that redefinition does not show that there is nothing that exists necessarily; it shows only that necessity cannot be established by the methods you allow.
That is an important result, but it does not settle the ontological question. It changes the standards of admissibility rather than answering the original demand. — Esse Quam Videri
Looking at this now with the analysis above, is this a metaphysical conclusion of necessity? That a deduction, given the elimination of doubt, will necessarily be superior to an induction with the same given knowledge and removal of doubt?
Is it a necessity apart from discrete experiencers like us? No. There is no necessity for intelligibility apart from how perceive and exist in reality. Intelligibility is born of the necessity to survive in a world by using our ability to discretely experience most accurately in regards to its application beyond itself. it also turns out its our best tool at understanding and mastering the world with the greatest chance of accuracy.
Think about a bacterium. Its a purely reactionary chemical construct. It does not think intelligibly. Its an enclosed chemical reaction reacting to the environment around it. Intelligibility is not necessary to itself or most of life in general. It is only important and useful to us because we have the capacity to use it to understand and live the way we want to most successfully.
But again I might be getting off point.
Your account presupposes an ongoing drive to refine distinctions, improve applicability, and prefer explanations that are more coherent and comprehensive. This dynamism is difficult to understand if intelligibility is merely accidental. It suggests that inquiry is oriented toward something more than survival or local success, but toward understanding as such.
If that orientation is legitimate at all, then the question of whether intelligibility has an ultimate ground reasserts itself. — Esse Quam Videri
I hope I have explained the ultimate ground of intelligibility, and what could be considered necessary in such a system. The final point which I have briefly touched is motivations beyond survival. If one is surviving comfortably with their world view, for most people there is little incentive to change it. Yet despite this, I believe there is a variability in what people consider a 'comfortable' level of distinctive and applicable knowledge. The social interactions of the species can produce a peer pressure to pursue goals beyond survival. "Yes, life is nice now, but what if it could be better?" Beyond survival comes convenience, entertainment, and the desire for a more comfortable life style. In any case, once a person desires something more than basic survival, the tool of knowledge is still their best recourse to success in understanding and acting in reality to get what they want.
The problem is that if one has no motivation beyond survival, there is little use for knowledge as a tool beyond sustaining that. Not every person who uses a screw driver becomes a mechanic. It might be nice to have to pull the tool out in certain situations, but if one's life is set in a way where the inductions one has to make are basic and low risk, there is little need to spend time and energy for accuracy. This is how ideologies like religions can thrive. While the ideology itself isn't rational when examined closely, the benefits to the individual often outweigh the risk of being wrong. People tend to leave a religion not because of the fact that it is an inductive enterprise that is low on the inductive hierarchy, but usually leave when the religion becomes more of a burden than a benefit, both personally and socially.
A necessary judgment, as I am using the term, is not reached by adding premises or narrowing context. It arises when reflection shows that denying a certain conclusion undermines the very norms one relies on in inquiry. The issue is not whether necessary existence can be applied without contradiction, but whether treating intelligibility as wholly contingent is coherent given the binding role intelligibility plays in reasoning. — Esse Quam Videri
Now to bring it back to your main point. Have I successfully shown you necessary judgements that can be reached within the knowledge theory? Is intelligibility coherent within this system? In all possible worlds in which discrete experiencers exist, are the requirements for intelligibility the same? Is a deduction necessarily the more reasonable action to take over induction in one wants accuracy? I leave that for you to consider.
If it is the case that I have sufficiently answered your points, then I feel my point here about the necessity of existence ultimately being uncaused is a distinctive conclusion, and not one of application. It is at best, a plausible outcome, but one that I do not find is reasonably countered by any other inductions of the same or higher hierarchy. I believe this does not rule out intelligibility itself, only the conclusion upon which intelligibility is grounded on.
I hope I've addressed your points adequately. Please point out if you think I've missed anything or have not fully answered the questions you had. Also, if the discussion on the knowledge theory goes much longer I suggest we port this over to that thread in particular. I don't want to derail the OPs original point over a separate thread.