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Author Topic:   The Antecedent Probability Principle, the Proportional Principle & Carl Sagan
Tangle
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Posts: 9517
From: UK
Joined: 10-07-2011
Member Rating: 5.1


Message 1 of 72 (657826)
03-30-2012 2:41 PM


Or why we can never believe in miracles.
If you tell me that there is a statue in a church of the Virgin Mary it is rational of me to accept your assertion because my life experience tells me that this is quite possible - statues often hang out in churches. If you have no history of lying to me randomly about everyday events and there is no other reason to suspect that you could be mistaken there is no logical reason to doubt you.
This is the Antecedent Probability Principle. I accept what you tell me because it lies within what I know to be probable.
If, however, you also say "and it's hovering 6 feet off the floor" I then have cause to doubt. I know from experience that statues don't hover and that there is a greater likely hood of your assertion being false - for whatever reason. If I am to behave rationally I must assume you are mistaken.
In order for me to believe you I then need far more evidence than normal. What is happening here is that I proportion my belief in what you have told me in relation to the net evidence for it. The more rationally unlikely the event, the more unlikely it is to be true and the more evidence is therefore needed for it. This is the philosopher’s version of Carl Sagan’s argument that extraordinary claims need extraordinary evidence.
If someone chooses to accept weak evidence for extraordinary events above their known experience of the physical world they are therefore thinking irrationally.
However, it may be that the hovering statue is still hovering, in which case you can go and test it so that the standard of evidence matches the scale of its improbability. If after doing some simple tests yourself it would then be rational to believe that some miraculous intervention is occurring.
But note, while it may well be rational to think that way, it may still be an error as it may be that your understanding of the phenomena is just incomplete.
To give an old example, a solar eclipse would seem miraculous if you hadn't lived in a culture that has the science to understand it.
Also, the fact that you have done some tests that convinces YOU, it does not mean that when you tell someone else that it is rational for THEM to believe you. They may take note of what you say, take your tests into consideration but still reject it because they rightly need more objective analysis if they cannot witness the event themselves.
And so on.
The logical conclusion of this argument is that miracles cannot exist. This is because the more extraordinary the event, the less credible it must be, and as a miracle defies a natural law - which is impossible - they therefore cannot exist.
I'm sure this begs the question. Maybe someone who has properly studied this can take the argument further?

Life, don't talk to me about life - Marvin the Paranoid Android

Replies to this message:
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 Message 4 by NoNukes, posted 03-31-2012 9:01 AM Tangle has not replied
 Message 5 by nwr, posted 03-31-2012 11:10 AM Tangle has not replied
 Message 6 by Jon, posted 03-31-2012 11:18 AM Tangle has not replied
 Message 62 by Chuck77, posted 04-02-2012 6:10 AM Tangle has replied

  
Tangle
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Posts: 9517
From: UK
Joined: 10-07-2011
Member Rating: 5.1


Message 7 of 72 (657862)
03-31-2012 1:05 PM


Mr Jack, NoNukes, nwr, John
We seem to be agreed that it can never be rational to accept a miracle because we can never get to the necessary level of evidence.
Even so, miracles could still exist, it's just never rational to believe in them.
Ok. But that sounds like 'we can't logically rule it out, but given the arguments so far, plus what we think we know of the world, we think it so bloody unlikely that we might as well say, "stuff it, for all practical purposes they can't exist"'
Taking it to the next step and ruling miracles out completely, requires the moves
1. a miracle defies natural laws
2. Natural laws are all there are
3. Miracles can't exist
Being pragmatic, I'll happily accept 2 at face value, until proven wrong.
But hang on, as it's never rational to believe in miracles, I can never be proven wrong.......
Edited by Tangle, : Typo

Life, don't talk to me about life - Marvin the Paranoid Android

Replies to this message:
 Message 8 by NoNukes, posted 03-31-2012 1:58 PM Tangle has replied
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 Message 10 by Rahvin, posted 03-31-2012 3:11 PM Tangle has replied
 Message 15 by nwr, posted 03-31-2012 4:46 PM Tangle has not replied
 Message 22 by Dr Jack, posted 04-01-2012 2:34 AM Tangle has replied

  
Tangle
Member
Posts: 9517
From: UK
Joined: 10-07-2011
Member Rating: 5.1


Message 11 of 72 (657871)
03-31-2012 3:20 PM
Reply to: Message 8 by NoNukes
03-31-2012 1:58 PM


NoNukes writes:
I don't agree with your summation of my position. I agree that it would be rational to reject miracles for lack of sufficient, extraordinary evidence, but I don't agree that accepting that miracles exist despite the lack of such evidence is irrational.
It's irrational to accept a something without evidence is it not? It may be human to do so and it may be ok to do so, but strictly speaking, it would be irrational.

Life, don't talk to me about life - Marvin the Paranoid Android

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Replies to this message:
 Message 14 by NoNukes, posted 03-31-2012 4:29 PM Tangle has replied

  
Tangle
Member
Posts: 9517
From: UK
Joined: 10-07-2011
Member Rating: 5.1


(1)
Message 13 of 72 (657873)
03-31-2012 3:48 PM
Reply to: Message 10 by Rahvin
03-31-2012 3:11 PM


Rahvin writes:
The flaw in this line of reasoning is extremely simple, and should be obvious........
If our understanding of the natural laws were perfect, this argument would make sense.
Unfortunately, humanity is not collectively omniscient. Our understanding of nature's laws is incomplete.
that would be why I said this I suppose:
But note, while it may well be rational to think that way, it may still be an error as it may be that your understanding of the phenomena is just incomplete.
To give an old example, a solar eclipse would seem miraculous if you hadn't lived in a culture that has the science to understand it.
Followed by this:
Being pragmatic, I'll happily accept 2 at face value, until proven wrong.
But hang on, as it's never rational to believe in miracles, I can never be proven wrong.......
Our understanding of nature's laws ARE incomplete and will always be so. It follows then then we can never say that anything is miraculous because of that same fact. If a limb ever does grow back spontaneously, we can never say that it was a miracle because we can never be sure that there's not a natural process that could do it.
But we both know it's not going to happen.

Life, don't talk to me about life - Marvin the Paranoid Android

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Tangle
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Posts: 9517
From: UK
Joined: 10-07-2011
Member Rating: 5.1


Message 18 of 72 (657894)
03-31-2012 7:08 PM
Reply to: Message 14 by NoNukes
03-31-2012 4:29 PM


NoNukes writes:
No, not necessarily. Did you make your mom prove that an iron was hot before you elected to follow her advice about not touching it? Should you have done so? Was trusting your mom irrational?
By the time I was old enough to understand the concepts you mention - hot, iron, don't etc, I had had overwhelming evidence that my mother was trustworty.
If the above is true, then perhaps the value of rationality is overstated.
i don't think so, but it does seem to be a bit binary for some people. If you call someone irrational its an insult, but it rather depends on the context; no-one wants to be Spock either.

Life, don't talk to me about life - Marvin the Paranoid Android

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 Message 19 by Chuck77, posted 03-31-2012 7:25 PM Tangle has replied

  
Tangle
Member
Posts: 9517
From: UK
Joined: 10-07-2011
Member Rating: 5.1


Message 23 of 72 (657906)
04-01-2012 3:19 AM
Reply to: Message 21 by NoNukes
04-01-2012 12:09 AM


NoNukes writes:
I earlier gave the example of Einstein devoting a decade of his productive years to developing the theory of general relativity. Can we say that Einstein's pursuit was not rational?
That's a really odd question. Surely it doesn't matter whether it was or whether it wasn't but in either case we can't know? It presumably seemed like a worthwhile and rational activity to him and presumably he had enough evidence to convince himself that it was worth continuing.
Happily, not everything we do in life needs to be strictly rational, if only to keep the economy moving - why else would I be reaching for my golf clubs now?

Life, don't talk to me about life - Marvin the Paranoid Android

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Replies to this message:
 Message 26 by NoNukes, posted 04-01-2012 6:06 AM Tangle has replied

  
Tangle
Member
Posts: 9517
From: UK
Joined: 10-07-2011
Member Rating: 5.1


Message 24 of 72 (657908)
04-01-2012 3:30 AM
Reply to: Message 22 by Dr Jack
04-01-2012 2:34 AM


Mr Jack writes:
Circular logic. 2 includes your conclusion
Agreed - 2 is an unproven premise.
I'll still take it as true until proven wrong and I claim that it is rational to do so.

Life, don't talk to me about life - Marvin the Paranoid Android

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Tangle
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Posts: 9517
From: UK
Joined: 10-07-2011
Member Rating: 5.1


Message 25 of 72 (657910)
04-01-2012 3:50 AM
Reply to: Message 19 by Chuck77
03-31-2012 7:25 PM


Chuck writes:
There is no need to expound on this point to the length you have. You becoming old enough has nothing to do with NoNukes point. His point was as children with no knowledge of something we accept that there could be knowledge out there that goes beyond our childlike thinking even tho we don't know what it is. That's the analogy. You growing up does not give you a better understanding of the unknown. We will always have childllike thinking when it comes to the unknown.
I used 27 words to expound my point at 'length' which is roughly 60 less than you've used to tell me I shouldn't have done it. I win in the war against verbage.
But of course, you've missed the point.
NoNuke was trying to say that it's irrational to follow your mother's advice because it's unevidenced by you personally. I was saying that it is highly evidenced because my previous experience has told me that I can trust my mother in matters that I don't understand yet. Therefore it is totally rational for me to do what my mum says.

Life, don't talk to me about life - Marvin the Paranoid Android

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Replies to this message:
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 Message 30 by NoNukes, posted 04-01-2012 7:07 AM Tangle has replied

  
Tangle
Member
Posts: 9517
From: UK
Joined: 10-07-2011
Member Rating: 5.1


Message 27 of 72 (657928)
04-01-2012 6:19 AM
Reply to: Message 26 by NoNukes
04-01-2012 6:06 AM


Re: Sigh. I'm sure those goal posts were right here...
NoNukes writes:
You are ducking the question. Of course it matters, at least for the purposes of this discussion. Your claim is that it is only evidence based conclusions that we can rationally to hold to be true. I'm trying to explore that proposition.
I'm not ducking the question, I'm say that the question is irrelevant.
I don't care whether Einstein was behaving rationally when he spent ten years working on relativity or not - I do care whether the result of his work is rational because I need to trust it for my sat nav.
You may have gathered that I don't think it matters whether people behave rationally or irrationally until it actually DOES matter. One place where it matters is when we're trying to understand facts about the world.

Life, don't talk to me about life - Marvin the Paranoid Android

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Replies to this message:
 Message 36 by NoNukes, posted 04-01-2012 7:50 AM Tangle has replied

  
Tangle
Member
Posts: 9517
From: UK
Joined: 10-07-2011
Member Rating: 5.1


Message 28 of 72 (657930)
04-01-2012 6:28 AM
Reply to: Message 26 by NoNukes
04-01-2012 6:06 AM


Re: Sigh. I'm sure those goal posts were right here...
NoNukes writes:
Related question: Are string theorists rational?
I've no idea. But the search for whether they exist is rational.
I'll present a different but closely related argument. It is in fact rational to make decisions and to take action with incomplete information, because we seldom have complete information.
Taking action in the face of incomplete evidence is particularly rational when the outcome for inaction is potentially dire, or the possible rewards for action are sufficiently great.
I agree entirely and I'd say that that is one of sub-clauses of the antecedent probability principle - We're forced to accept conclusions or actions based on best prior knowledge and reject actions that have the least convincing evidence.

Life, don't talk to me about life - Marvin the Paranoid Android

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Replies to this message:
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Tangle
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Posts: 9517
From: UK
Joined: 10-07-2011
Member Rating: 5.1


Message 32 of 72 (657938)
04-01-2012 7:22 AM
Reply to: Message 30 by NoNukes
04-01-2012 7:07 AM


NoNukes writes:
Exactly so. And people accept Biblical miracles for similar reasons. They have decided to trust the accounts of people who have written and testified about allegedly witnessed events.
They accept biblical (and other) miracles based on unevidenced beliefs. That is irrational.
Further, with few exceptions, those who disagree don't claim that the events, had they actually occurred, would not be miraculous; instead those skeptics doubt that the miracles happened at all.
The distinction is largely irrelevant as we can't even trust the accounts of the miracles to be accurate. But to take one from the NT at random, the raising of Lazarus either didn't happen or could be explained naturally - pick one, most disbelievers wouldn't care which. We have no evidence for any of it so the only rational position is to be totally skeptical.

Life, don't talk to me about life - Marvin the Paranoid Android

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Tangle
Member
Posts: 9517
From: UK
Joined: 10-07-2011
Member Rating: 5.1


Message 34 of 72 (657940)
04-01-2012 7:40 AM
Reply to: Message 31 by NoNukes
04-01-2012 7:16 AM


Re: Sigh. I'm sure those goal posts were right here...
NoNukes writes:
Wha?? We know that string theorists exist. Lol.
Well as a trivial point, we obviously know string theories exist. What we don't know yet is if they are correct. So it's rational to work further to see if they are.
Seriously. I request that you expand on the reasons why you believe the pursuit of string theory is rational. Or we can use general relativity. I think the discussion will tease out some nuances in your definition of rationality.
Why stick to those two theories? I'm happy to say that the search for knowledge about our world is always rational and seems self evident - it's on you to say why it isn't.

Life, don't talk to me about life - Marvin the Paranoid Android

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Tangle
Member
Posts: 9517
From: UK
Joined: 10-07-2011
Member Rating: 5.1


Message 37 of 72 (657952)
04-01-2012 10:09 AM
Reply to: Message 35 by Chuck77
04-01-2012 7:45 AM


Re: Sigh. I'm sure those goal posts were right here...
Chuck writes:
Seriously? So you think as long as something is being explored it's rational then no matter what is being explored?
No, I don't think that at all.
For example, I don't think that the search for the ark on Mount Arafat is rational because we have no evidence that the ark ever existed and huge quantities of evidence that says it doesn't.
But to be consistent, I would say that if an irrational person ever searched for the ark and found what could be its remains, it would be vaguely rational to properly test it because there would then be some evidence worth testing.
I think that reasearching String Theory is rational because there's a logic basis for the investigation.
Then whats the problem you're having with miracles?
I answer that in the origianl post.

Life, don't talk to me about life - Marvin the Paranoid Android

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 Message 39 by NoNukes, posted 04-01-2012 10:17 AM Tangle has replied

  
Tangle
Member
Posts: 9517
From: UK
Joined: 10-07-2011
Member Rating: 5.1


Message 38 of 72 (657954)
04-01-2012 10:14 AM
Reply to: Message 36 by NoNukes
04-01-2012 7:50 AM


Re: Sigh. I'm sure those goal posts were right here...
NoNukes writes:
There is no real point in addressing my question re: string theory. It is as hypothetical as is the child/hot iron/electrical socket example.
Then perhaps you could explain what point you are trying to make, because I'm completely missing it at the moment. Obviously.

Life, don't talk to me about life - Marvin the Paranoid Android

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Tangle
Member
Posts: 9517
From: UK
Joined: 10-07-2011
Member Rating: 5.1


Message 40 of 72 (657970)
04-01-2012 12:04 PM
Reply to: Message 39 by NoNukes
04-01-2012 10:17 AM


Re: Sigh. I'm sure those goal posts were right here...
NoNukes writes:
In any event, it seems to me that if you are not prepared to say that the reason for researching String Theory is based on evidence, then you are not being consistent with the approach described in your OP.
er, I AM saying that it's rational to research string theory and any other evidenced based subject.
That's all I've ever said, so I'm still confused as to what YOU are saying.
Edited by Tangle, : No reason given.

Life, don't talk to me about life - Marvin the Paranoid Android

This message is a reply to:
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Replies to this message:
 Message 42 by NoNukes, posted 04-01-2012 2:15 PM Tangle has replied
 Message 43 by Chuck77, posted 04-01-2012 2:28 PM Tangle has replied

  
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