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God, Frameworks, Mathematics, and Sciences.


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Legga has disappeared on me so I thought I would bring the discussion here so that we hop back into it when he returns and to give others the ability to chime in. 

 

Legga said:
Context: Discussing God, Occam's Razor, and Bayesian Framework

20:15 Legga: Oh, I believe it is a law

20:15 Legga: Not in the colloquial sense that it is usually used

20:15 Legga: But Occam's razor can be derived as a probabilistic statement to disfavor hypotheses that require complexity

20:16 Legga: In the colloquial sense that it is used, I'd agree with you, but Occam's razor arises naturally from Bayesian analysis

20:17 Legga: there's a way to show, mathematically, that if there are two hypotheses which are both consistent with the evidence, it is more likely that the more simple hypothesis is correct

20:17 Legga: as in statistically more likely

20:19 Legga: Which means that as long as one accepts the necessary axioms to arrive at Bayesian analysis, one has to also accept the existence of Occam's razor as a `law`

 

Yes, I see your viewpoint and accept It more or less.

The key here is the framework, most of us accept one and use some more than others but they all have their limitations ofc. I find Bayes useful in particular situations and even more so profound as a framework, but I wouldn’t accept it as the framework that rules over my intuition about God.

As all frameworks do for me, I use everything I see and study as a means to understand God just a tad bit better and can even find myself questioning the validity of the idea depending on the framework.

Ofc when it comes to Bayes it would be hard to say much on God, we may think we could given some selection of priors but I do think we’d be kidding ourselves given the complexity of the question in the first place.

I’m only pointing this out, I am aware that you are brining up bayes to speak of Occam’s razor but as you previously stated Occam’s razor under your Bayesian view would make God as an explanation less likely than simpler explanations. My question would be “how did you define god”, “How do you define simplicity and complexity”, “What is ‘God’ in this case attempting to explain”.

I find practically all attempts to disprove God on these grounds weak because it waters down the notion of God, simplicity, and complexity.

I have a bias here though I must add because I have studied Christianity and Judaism from a deeply conceptual and etymological stand point – I study God and its meaning across languages and when you do this you find that consensus Is difficult but more importantly that etymologically speaking our conception of the word and it’s other forms have become quite weak.

 

Legga said:
20:22 Legga: or maybe we're talking about laws in a different sense
This is the case, a law for me would have to transcend frameworks and always be true.

20:22 Legga: I just tend to think that science and the supernatural require two different sets of axioms to analyze

 I used to think a long these lines but my study into the foundations of mathematics, the history of science, and the history of religion and culture annihilated this view.

Mathematics and all the comes from it is objectively baseless in my view. This is something I’ve tried to shake but every time I do it only confirms my view further. When first confronted by I was heart broken but now I find nothing but infinite depth and beauty as a result.

The consequence of this is we are constantly taking a leap of faith into convention before accepting some framework. 

Now your view of two sets of axioms fits with this nicely just as mine did.

As I delved into the development of math’s, sciences, and culture I found God first and then found all else through some evolutionary process regardless of the culture in question.

I found that my mistake was starting with the mathematical and scientific conventions and axioms to find God, it has never worked for me.

If I start with God however, I am confronted with mathematics, science, and all else.

It was a problem with initial conditions in my case.

I am not saying this is absolute truth, there are problems with this framework but it works and is quite convincing in many regards plus serves grand utility for myself as it did for the great minds that created many of the scientific conventions we know and love.

 

Legga said:
20:25 Legga: But sorry, I didn't let you explain

20:42 Legga: I'm also curious what you mean by Goethan view of science and why that view allows for belief in the supernatural.

 

The Goethean view starts with a hidden metaphysical realm, hence there is more than just matter.

So we have both an immaterial realm and a material realm, obviously science as we know it lives in the latter. Goethean idealism, and this is more specifically something quite German, wishes to bridge the two so that a more wholistic view can be reached and understood. A Goethean believes fundamentally that the immaterial and material have correspondence.

In this case ideals precept reality (they come before reality), they are potentiality in carnet while reality itself (the thing we observe and study) is merely an actualization of the idea.

Given Goethean science is just a form of phenomenology it can easily talk about God as well as mechanics.

Why should I accept this framework though? That is the question that confronts any framework. As per usual the answer is the utility it gives me personally. I begin with everything is theory, and that gives me a lot at my disposal. I can accept a Bayesian framework at any moment of my choosing and use it with rigor where it applies. I can do this with any material framework, because in this case a framework is merely a means to an end. I

I am a mathematician before a statistician, while you are a statistician first and for most it seems. I must have a looser framework than you to explore mathematics for the sake of its beauty because not all its beauty can be justified in some purely rationalistic or probabilistic way. You must have a tighter framework because you are testing the validity of some hypothesis.

 This shows that constraints on frameworks reflect the nature of the question. So, what of the question of God? I would think the framework must be quite loose. But does it have to be separate? If you are purely a materialist, yes, they must be separate. If you are an immaterialist, yes, they must be separate. If you are both, there is no need for separation but may be a simple question of order.

 

Legga said:
20:44 Legga: I'm asking mostly because lately I've started to look more into proofs for God

20:48 Legga: and I feel somewhat alone in my endeavor because, well, not many people think the same way I do. Which is why I was surprised to find that you believe in God despite working in the natural sciences.

 As I said previously, I enjoy proofs of God in the spirit of tradition, they are fun and can sharpen your your logic, but I would not use them in a serious way to prove or disprove God. I am not comfortable with it regardless of outcome. As you know there are a many of proofs that go every which way on the subject, and they can be said to be logically consistent. As such I think they say more about their framework than they do about God.

I can understand your surprise and I do find it an unfortunate one given the commonality in the sciences that informs it.

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I am aggeL, Legga's brother. Legga says he doesn't want to come back here. In addition, he says he changed his password to a random string of numbers without jotting it down to prevent himself from ever logging to that account again, so it's not like he could come here anyway. However, I'm also scientifically minded and I found this topic interesting. This is why I thought it would be a shame to leave this topic open, and decided to create an account and respond.

 

Let me see if I've understood your argument correctly. A given framework only works within the domain of its validity. For example, we can utilize Bayesian analysis to describe the natural world, where it is demonstrably reliable. One could argue that Bayesian analysis does not have predictive power in the natural world, but then all that we witness contradicts this.

However, if there is something `supernatural,` something beyond the natural, then the argument no longer applies. We've only ever verified that Bayesian analysis can address claims of the natural world. If Bayesian analysis can not confirm the supernatural and we have no methodology to test and apply it to supernatural phenomena (almost per definition), then there is no reason to believe it is valid in the domain of the supernatural.

So if we were to use Bayesian analysis to claim something about God or the supernatural, then it would be similar to using a metal detector to try to find wood. A metal detector is great at identifying metal, but not at finding wood. Likewise, if God were above logic or the natural world (as a hypothesis), then it would be nonsensical to use logic to try to prove God.

Instead, you're arguing that one can adopt a more fundamental framework, one where God comes first, and then use that to derive the rest of the frameworks. So something like a superset of (in this example) Bayesian analysis.

 

I don't have trouble accepting that mathematics and everything that comes from it is objectively baseless. Isn't there this mathematician, Godel, who formally demonstrated that? I.e., we need to accept something on faith. I've never actually gone through his proof.

I wouldn't characterize myself as a statistician; if anything I'm most often a scientist, and I tend to be much more familiar with physics and math (as a tool) than I am with statistics, even if I tend to bring up Bayesian analysis more often here. When it comes to investigating claims of natural origin, I'd advocate for the scientific method, much of which benefits from Bayesian analysis. That doesn't mean I axiomatically rule out all other frameworks. I didn't mean to imply that the two axioms must be completely independent, I had only suggested that the two sets of axioms are different.

 

I understood your definition of Goethan. However, I did not understand why you accept the framework. Nevertheless, your answer is (somewhat) similar to something I've given in the past, so an argument from utility.

I'm not sure if I believe in it anymore, though, but let me go ahead and give it anyway: I accept Bayesian logic out of utility, so I can accept God on faith out of utility. The fact that it's easier for me to accept the existence of God rather than not accept God is reason enough for me to believe in a God. Likewise, the fact that it is more useful for me to accept the existence of the natural world is more useful than for me not to accept the natural world is reason enough for me to axiomatically believe we don't live in the matrix. Is that kind of where you're going?

 

Anyway, I appreciate you taking your time to respond.

 

Ps. Regarding your criticism of the prior on the God hypothesis. I won't go into the details of how one would analyze the God claim (I've done that and will be happy to provide documentation), but essentially what one should (objectively) reach is that we can not disprove or prove God, given a few assumptions -- it was not Legga's intention to say that God can be disproven by Bayesian analysis, he was merely paraphrasing what is typically given as the argument. However, on `simplicity`: the God hypothesis has no predictive power, which seems to be a serious issue for proving its validity in the Bayesian sense. This is why Occam's razor shaves off the God hypothesis, and this is why the God hypothesis is `complex` in the Bayesian sense.

However, if you're willing to accept that belief in a hypothesis with insufficient evidence is not be warranted, then that Bayesian conclusion (or lack thereof) should lead to atheism, not to theism. But you seem to be giving an argument from utility, which is what I've leaned towards as well thus far, so this thing doesn't really apply here.

last edit on 10/5/2020 8:42:57 PM
Posts: 798
0 votes RE: God, Frameworks, Mathem...

Caught you slipping, aggeL. Clearly not as well informed as your brother.

The fact that you didn't read up on Godel, yet chose to narcissistically and superficially comment, made it apparent you're but a shadow of your brother.

A bad pseudointellectual reference, that's what that was.

Read up on it and illuminate yourself on how you were wrong, fool.

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