You absolutely nailed the "reassessment". So why have I been using causality and not explanations? Because I run into another problem. What is an explanation? You understand what an explanation is clearly, but how do I define it? How do I put it into a definition that everyone can agree with? If I claim something is an explanation, then it seems like I'm really talking about "knowledge". And at that point, this becomes an exploration into epistemology that few would accept.
Despite people trying to reject cause and effect, and despite their counterpoints not actually challenging the OP, but missing the mark (as you clearly noted), cause and effect are something fairly stable that people can understand, that is essentially an explanation. Why is this thing the way it is? Because of these things being the way they are. Why does this effect occur? Because this cause occurs.
Is a cause and effect always an explanation? Is an explanation always a cause and effect?
The first question seems true, but the second leaves doubts. I believe an explanation can be translated into a cause and effect, though it may not be the simplest, clearest, or most direct way of communicating that explanation. But, there is a stable defined means of communicating that explanation.
My label of a "first explanation" as a "first cause", is not inaccurate. It is simply a more complex translation than I would like, because it serves the purpose of being simple to understand, difficult to counter, and stable. A first explanation is the first in a chain of explanations. A first cause is the first in a chain of causes. That which has no prior explanation for its existence, can be explained by its existence in reality. That which has no prior cause for its existence, can be explained by its existence in reality.
If I had a better means of language that could preserve what was needed for the argument, and not diverge into the tempest of epistemology, I would. But you are right. It is not ideal, and perhaps it would have been better to use the term "explanation", then explain what an explanation is through cause and effect. So thank you, your point is well taken!
I was implying that the function P(n) only operates within a space/time fabric. It does not attempt to induce any “numbers” outside of that framework: that is why it isn’t an inductive over-extension. — Bob Ross
While I do agree there are formula's that assume space and time, many formula's do not. For example, a formula may extend for infinity, but infinity may not exist. An electron is considered to have zero mass for many formula's, though the reality is that it does have mass once you use formula's that have a meaningful digit small enough for them to matter at that scale. That being said, your criticism would apply to them as well, and you are correct.
The dilemma I was trying to put forth is that one cannot fundamentally utilize a “before” or “outside” when contemplating something sans space/time fabric. The same issue is true, I would say, of causality (it doesn’t extend past space and time) and if causality did, then it would be a different causality altogether (which existed in a space and time framework sans our space and time framework)! I don’t think we really have any good evidence to conclude anything beyond space and time. — Bob Ross
True. This to me, a first cause is something outside of space and time. There is no space or time which forces a first cause to exist, it simply does. Once it exists, it is within the realm of space and time. But prior to that? I cannot say. Perhaps there is something beyond space and time which creates that first cause. But it is meaningless to speak on it. And if something outside of space and time could create something within space and time? The question would still exist, "What caused THAT?"
:)
I understand your specific use of "sans" time and space within language, and respect it. I think its largely semantics at this point, and we're essentially saying the same underlying meaning. That being said, refinement is NOT my best quality as a philosopher. If the argument would be served using other syntax, you again may be correct. Feel free to use such terms until we run into a place where there is more than semantic difference.
The difference, fundamentally, between me and you (I would say) is the fact that, for the very same reason you are abandoning PSR, I would abandon an arbitrary stopping of PSR somewhere along the line of derivation. — Bob Ross
Here again I think we have a semantics difference. I don't believe I'm abandoning the PSR, I'm refining it to fix a hole. I can understand how you think it is arbitrary, but that is where the conclusion in the OP comes in. If I cannot comprehend of a situation where there is no first explanation, (understanding this can be backed in an underlying manner by cause and effect) is it unreasonable to conclude the alternative, that there must inevitably be a first explanation?
Like we have both concluded, neither can be confirmed by experience. So we are arguing between two inductions. To liken the argument to something more common, let us propose someone states the reason why it rains is a magical unicorn. Since it cannot be confirmed by experience, we must think about it logically. The problem is, no one has seen any evidence of a magical unicorn, and within the proposal, there is still the question of what caused the magical unicorn to be. It doesn't really answer the ultimate question, and there is no evidence it exists. Would it be more logical to drop the unicorn entirely, even though the rain remains unexplained, or to keep it? In exploring reality, it may be that a unicorn in fact DOES exist. But that still doesn't answer the question of what caused the unicorn, and I still think most of us feel it is unreasonable to believe in the unicorn when we lack evidence that it exists.
Is the proposal that there can be no first explanation the unicorn, or the proposal that there must be a first explanation the unicorn? This is where a hierarchy of induction is needed. At this point, I am inclined to state the proposal of there being no first cause is the unicorn. But because we have no meaningful way to conclude which inductions are stronger than others, I have no means to back this opinion, besides opinion. This is where the knowledge paper I wrote comes in. In it, I break down a hierarchy of inductions as the end. Because despite my best efforts at using cause and effect to represent an explanation, it always boils down to epistemology in the end.
To your point, I believe practically every criticism you mentioned has merit, and you have successfully defended your view point logically within the framework of thought that we have. On the flip side, I believe I have also defended my line of reasoning as well. It is the fact that both of our conclusions necessarily rely on inductions about the nature of reality, and that we have no means within our framework of concluding if one induction is more viable than the other, that we can both make our choices without contradiction. And, if I cannot argue beyond an appeal that my induction is more viable than the opposite induction, I cannot argue that a first cause is logically necessary. If we had a viable framework which allowed us to logically determine which inductions are more reasonable to hold, perhaps my claim of logical necessity would be true. But without that framework, I cannot claim it. Well done!
To rap this up, I wanted to, again, thank you for such a wonderful conversation — Bob Ross
Agreed! It is a joy to discuss with someone who puts the theory through its paces! I hope my response was adequate to your points and critique. You are a fantastic philosopher, and I looked forward to every response you made. Thank you as well!