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  #61  
Old 01-08-2011, 03:22 PM
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No Steven just the interpretation.

Mark
I'm curious Mark.
How does one interpret mathematics?

Regards

Steven
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  #62  
Old 01-08-2011, 04:20 PM
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I'm curious Mark.
How does one interpret mathematics?

Regards

Steven
If assumptions are put in place in the abscence of evidence however you wish Steven.


Mark

Last edited by marki; 01-08-2011 at 04:46 PM.
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  #63  
Old 01-08-2011, 04:36 PM
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Ok .. Science in general can be distinguished into:
(i) theory and;
(ii)observation/experiment (observation, for short).

For observations (ie: the data), tests to assess whether the data is independently verifiable could be split into two parts:
i) Test #1 (Pass/Fail): say, a hard-copy printout, or release of raw electronic data giving unmanipulated access to others;
ii) Test #2 (Pass/Fail): a thorough description of (a) how to set up the instruments, tune them, and; (b) how to recreate the events leading to the generation of the data.

For theory (or hypothesis), tests to assess whether the theory is independently verifiable might simply be:
iii) Test #3 (Pass/Fail): Publication of the idea .. ie: everyone gets to the ability to check the details of the theory, until they can replicate those details with precision.

Self-consistency of a theory is also vital:
Determination of a theory's self-consistency has to be based on a "Pass" result to test #3. It's entirely possible to have a theory which is objective and independently verifiable, and for that theory to be internally inconsistent. But, unless it is both objective and independently verifiable, it might be impossible to work out that it is internally inconsistent.

Mathematics thus performs the function of assessing the self-consistency of propositional outcomes, outlined as results.
=================================== ================

In the case of Speigel's paper:

i) Test#1 result is a 'Pass', as the empirical data underpinning the assumption that abiogenetic life arose rapidly on Earth, is readily available for review by anybody (they have tabulated it);
ii) Test#2 result is a 'Pass' as the conditions for recreation of the measurements of the evidence that abiogentic life arose rapidly on Earth is readily available to everyone;
ii) Test#3 result is a 'Pass' because I found their paper ... I could read it, and I could educate myself sufficiently to understand what Bayesian Inference is, (I thus understand their methodology). More importantly, the paper has been submitted to Proceedings of the National Academy of Sciences, USA and will undergo rigorous peer-scrutiny.

Self-consistency
Each step in the Bayesian process has been clearly outlined in the paper. The mathematical steps in their analysis is open for all to scrutinise. They have tabulated their model parameters and provided sensitivity analyses applicable to pessimistic and optimistic values. They have published the algorithms used and provided results so they can be checked. The results have been bounded into upper and lower categories.

The conclusion is that their analysis is self-consistent.

None of the authors has made any assertions as to whether the analysis results in TRUTH. The assumption that this analysis attempts to portray TRUTH, lies entirely with those attempting to decry this work as 'subjective'.

These 'decriers' have provided no scientific basis whatsoever for their 'opinions' and are thus not practising Science.

Cheers
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  #64  
Old 01-08-2011, 05:46 PM
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If assumptions are put in place in the abscence of evidence however you wish Steven.


Mark
Mark,

Scientific theory makes predictions not assumptions.
A theory stands or falls on the basis of evidence. A theory can be supported but not proved by evidence. Evidence however can disprove a theory.

There seems to an issue here regarding where mathematics ends and science begins.

When a theoretical physicist uses mathematics to develop a theory, the maths he uses is proven. This is what distinguishes maths from science. This doesn't however "prove" the theory.
The theory still has to be self consistent, and falsifiable (subject to observational and/or experimental evidence).

This puts it in the realm of physics not mathematics.

Regards

Steven
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  #65  
Old 01-08-2011, 05:59 PM
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renormalised (Carl)
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Originally Posted by CraigS View Post
Ok .. Science in general can be distinguished into:
(i) theory and;
(ii)observation/experiment (observation, for short).

For observations (ie: the data), tests to assess whether the data is independently verifiable could be split into two parts:
i) Test #1 (Pass/Fail): say, a hard-copy printout, or release of raw electronic data giving unmanipulated access to others;
ii) Test #2 (Pass/Fail): a thorough description of (a) how to set up the instruments, tune them, and; (b) how to recreate the events leading to the generation of the data.

For theory (or hypothesis), tests to assess whether the theory is independently verifiable might simply be:
iii) Test #3 (Pass/Fail): Publication of the idea .. ie: everyone gets to the ability to check the details of the theory, until they can replicate those details with precision.

Self-consistency of a theory is also vital:
Determination of a theory's self-consistency has to be based on a "Pass" result to test #3. It's entirely possible to have a theory which is objective and independently verifiable, and for that theory to be internally inconsistent. But, unless it is both objective and independently verifiable, it might be impossible to work out that it is internally inconsistent.

Mathematics thus performs the function of assessing the self-consistency of propositional outcomes, outlined as results.
=================================== ================

In the case of Speigel's paper:

i) Test#1 result is a 'Pass', as the empirical data underpinning the assumption that abiogenetic life arose rapidly on Earth, is readily available for review by anybody (they have tabulated it);
ii) Test#2 result is a 'Pass' as the conditions for recreation of the measurements of the evidence that abiogentic life arose rapidly on Earth is readily available to everyone;
ii) Test#3 result is a 'Pass' because I found their paper ... I could read it, and I could educate myself sufficiently to understand what Bayesian Inference is, (I thus understand their methodology). More importantly, the paper has been submitted to Proceedings of the National Academy of Sciences, USA and will undergo rigorous peer-scrutiny.

Self-consistency
Each step in the Bayesian process has been clearly outlined in the paper. The mathematical steps in their analysis is open for all to scrutinise. They have tabulated their model parameters and provided sensitivity analyses applicable to pessimistic and optimistic values. They have published the algorithms used and provided results so they can be checked. The results have been bounded into upper and lower categories.

The conclusion is that their analysis is self-consistent.

None of the authors has made any assertions as to whether the analysis results in TRUTH. The assumption that this analysis attempts to portray TRUTH, lies entirely with those attempting to decry this work as 'subjective'.

These 'decriers' have provided no scientific basis whatsoever for their 'opinions' and are thus not practising Science.

Cheers
You can write all you like, Craig, it makes no difference to the outcome of the argument, either way.

Let me tell you why your rant here has failed....

Your dataset, for a start, is based totally on assumptions made in the past that are only what scientists believe to be the case based on what scant evidence they actually have. I should know a bit about this, Craig, considering it's what I studied at Uni. I'm not coming at this from some completely different field or without any prior knowledge in this, you know. Unlike yourself. Getting back to the matter at hand, those tabulated values are nothing more than guesses/assumptions of what might have been the case. The models are based on this because they have no hard evidence to go by. Most of those early trace fossils have been argued over for years as to whether they're actually real fossils of algae/bacteria that are present in those early rocks. In any case, those rocks have been so heavily metamorphosed, it's almost impossible to tell what's what from possible biogenic or purely abiogenic sources. The only thing that can be said for certain is that it happened, and probably rather early on.

Their data is subjective right from the start.

My own position on this is that life did arise early on this planet after its formation. Most likely after the first 100-200 million years or so. Despite their results and whatever you might think, there is a good chance that given the right conditions and all things being equal, life will arise elsewhere in a similar manner. Though, there is no evidence either way to prove/disprove this. It is a subjective answer based on subjective data.

As for your second test, they fail this miserably. They have not gone and collected their own data. All they have done was used previously published data (where it could be found) and entered that into their own analysis. The data was based on rather fluid assumptions to begin with, so their own conclusions will be affected by this. In other words, their conclusions will be nothing more than guesstimated opinions, not rigorous results that you would expect otherwise from a scientific paper. It was nothing more than a gedankenexperiment...a thought exercise, with only marginal applicability. More a topic for conversation and further discussion and maybe a pointer to some further research.

Independent verification does come via publication, because that is where others get to see their paper and then to mull over it and try to replicate the results. So in that regard they pass the third test. However, any scientist worth their salt would see this paper for what it is and not even try to verify the results. Because, that is not what this paper is about. Scientists know the ins and outs of the various methods of statistical analysis and know that some are better than others for the jobs they perform. I've already stated in earlier posts the pitfalls of Bayesian analysis and why it's not seen by many as being an ideal method for some areas of scientific data analysis. To reiterate the main reasons as to why this form of statistics, in this particular case, is not ideal....

1. Quantifying prior beliefs into probability distributions is not simple. First, we haven’t all thought much about our prior beliefs about most things, and, even if we have some beliefs, those aren’t usually condensed into a probability distribution on a parameter.

2. We might not agree with colleagues on the prior distribution.

3. Even if we can find a formula for the distribution describing our prior beliefs about the parameter, actually doing the probability calculations to find the posterior distribution using Bayes Theorem maybe more complex than we can do in closed form.

....basically, in order to find the posterior calculations (the answers), a prior knowledge or belief about the distribution of the data is required. If that prior distribution is already based on tenuous assumptions, then the answer you get will be the same. You can even get completely different answers from the same set of data, using the exact same equations. All depending on what prior parameters we care to use at the time. They don't even have to vary that widely to get different results. Many scientists don't like Bayesian analysis for these reasons as it's not an objective method of analysis.

Just because anyone can pickup a paper and read it doesn't mean it automatically passes independent verification, and it hardly means it will just because someone thinks they understand what it says because they've read up a bit on it. You have to actually have done the science before, in order to verify it, or at least have studied in the field and then understood the implications of that science in the paper being read. You wouldn't get a neuroscientists writing an in depth critique of a journal paper written by a nuclear physicist, simply because he hasn't the required learning, or experience, under his belt to be able to do so...and vice versa. Even if they do understand some of what's being written.

If a theory or hypothesis is plagued by subjectivity in its methods of analysis because its underlying maths is this way itself, then self consistency is moot.

As far as truth is concerned, at no time at all did any of us here arguing the counterpoint to your position, Craig, ever say that we had a handle on the truth. It's you, in fact, that have brought this point up. I don't know what the truth is and most likely will never get the chance to find out. All I have argued is that given the universality of the physical laws governing the universe and the fact that life evolved on this planet, that all things being equal, life should evolve elsewhere in the universe and especially on planets where the conditions are similar to what they were on the early Earth. Not that it did or has, or that it exists at present. But that given all the circumstances etc, it most likely will be.

The ridiculous thing about all of this is that the paper itself even said this. However, they took the negative stance on the matter where it concerned their results. And they're entitled to do so. However, I and many others, would beg to differ despite conceding that their conclusions might be correct.
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  #66  
Old 01-08-2011, 06:36 PM
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Quote:
Originally Posted by sjastro View Post
Mark,

Scientific theory makes predictions not assumptions.
A theory stands or falls on the basis of evidence. A theory can be supported but not proved by evidence. Evidence however can disprove a theory.

There seems to an issue here regarding where mathematics ends and science begins.

When a theoretical physicist uses mathematics to develop a theory, the maths he uses is proven. This is what distinguishes maths from science. This doesn't however "prove" the theory.
The theory still has to be self consistent, and falsifiable (subject to observational and/or experimental evidence).

This puts it in the realm of physics not mathematics.

Regards

Steven
Yes Steven I agree we are moving towards that grey area. I should make myself clear here. My objection is not towards the mathematics involved far from it but rather the thin grey line itself. In my opinion and it is only my opinion for what its worth, too much emphasis is being placed on theories with little or no real evidence to back them up...to the point where people are starting to proclaim them irrefutable truths (and they will argue with gusto and venom against any other possibility). The universe is far too complex for such nonsence. We try to simplify everything so our feeble minds can attain some sense of comfort in knowing what is going on and back it up with "the maths tells us so". We as a species have so much to learn that we have yet to scratch the surface. The title of this thread states "No Life Is Possible" and how you decode that is a matter of semantics I guess. Sure Earth may be the only place in the Universe that life has evolved but then it may very well not be. No mathematical work no matter how elegant can give us an answer to that question. We simply need to get off our RS's and explore the universe which is easier said then done.


Mark
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  #67  
Old 01-08-2011, 06:41 PM
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I watched a program on SBS on Infinity last night. One result is if the Universe is infinite there are an infinite number of Earths and equally an infinite number of each of us. Somewhere a monkey has typed all of Shakespears works. In fact this random monkey has typed all the books ever published! In an infinite Universe every possible thing has happened!

So to boil this down. In an infinite Universe everybody is correct somewhere with an on line argument!

Hope that makes you feel better.

Bert
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  #68  
Old 01-08-2011, 06:59 PM
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Found this guy … right here on Earth, Bert !

Cheers
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  #69  
Old 01-08-2011, 07:00 PM
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Originally Posted by avandonk View Post
I watched a program on SBS on Infinity last night. One result is if the Universe is infinite there are an infinite number of Earths and equally an infinite number of each of us. Somewhere a monkey has typed all of Shakespears works. In fact this random monkey has typed all the books ever published! In an infinite Universe every possible thing has happened!

So to boil this down. In an infinite Universe everybody is correct somewhere with an on line argument!

Hope that makes you feel better.

Bert
LOL I saw that to . Better go and find that dam monkey, wonder if copyright will be valid .

Mark
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  #70  
Old 02-08-2011, 09:19 AM
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In my opinion [...] too much emphasis is being placed on theories with little or no real evidence to back them up...to the point where people are starting to proclaim them irrefutable truths (and they will argue with gusto and venom against any other possibility).

Mark
What I've seen, and continue to see, are scientists erring on the side of caution. On the other hand, "enthusiasts" claim a lack of evidence is all but proof of their own pet conjecture.
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  #71  
Old 02-08-2011, 12:24 PM
Alchemy (Clive)
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Trying to prove the unprovable. Waste of time worrying about it.

We are here........we haven't found life elsewhere, given our situation it's highly unlikely so the question will never be answered.....
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  #72  
Old 02-08-2011, 12:50 PM
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My own personal take on this is that I find it hard to support the theory that if you get a warm planet with water on it, and a Sun at the right distance, that life will naturally follow.

We haven't found anything as far as I know to support the idea that life forming on earth is not a colossal one off event. There are theories all over the place, but unless we find life on one of the squishier solar system moons, or on the other planets, and then prove that life on earth didn't just come from that planet anyway (or vice-versa) then we can't really know.

Resorting to infinities doesn't float my boat, as that just means that everything is happening somewhere, which doesn't tell us anything really.

The whole DNA/RNA combination seems so tricky to get going, that the odds are quite possibly, literally beyond astronomical of it happening again.

Until we can trace our own life history back to the source, or create life in the lab, I'm assuming that life is pretty damn rare, but I hope I'm wrong.
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  #73  
Old 02-08-2011, 02:01 PM
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Hi all, extremely interesting thread...

Ive gotta say I agree with warrens Schrödingers cat reference. Until we 'open the box' and find undeniable evidence of life, we can safely assume that it both does and does not exist, regardless of mathematical formulae which supports either side of the arguemet.

Mathematical theory is just as the term implies: THEORY, until it can be proven (which at this point it can't), it's nothing more than a mathematical crystal ball which can make predictions (some quite accurate), but contains no real evidence to back up the predictions. Like any crystal ball, the predictions made are open to interpretation and can be taken several ways.

Just my 2¢ worth, I'll get back in my hole now

Davin
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  #74  
Old 02-08-2011, 02:50 PM
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At this point the answer to the question is there life elsewhere can only be answered by the expression of an opinion... It is a matter of belief and opinions can have no greater basis than belief irrespective of the foundation for that belief.

We could say we have observed 3 objects in the Universe first hand and that observation tells us there is life on one of those objects (Earth) the others (Moon and Mars) show no evidence of life to date.

That does not mean we are entitled to rate the odds at one in three for other objects having life. Our observation is meaningless because the Universe is made up of billions and billions of objects and we have first hand observations for three only...

However as an opinion (unsuppoted) it would seem inconceivable that in a Universe of a size beyond the comprehension of a human that there is no other life. Are we the center of "life", are we the first and the only... I doubt it...but that is mere opinion. There are others who believe the Earth was built for humans etc...thats OK because it is only belief.

Our literate monkey in an infinite universe is only a belief..has anyone read anything this monkey has written to form such a belief..no..however such ideas flow from the concept of an infinite universe..reasonable maybe but pure unsupported speculation...


Further our understanding of life is that it started here whereas it may be like pollen in the wind at a cosmic level such that if conditions are favorable life can flourish having been delivered to a new home via the flow of cosmic dust...AND before you laugh I suggest that all such is possible when we speculate with reality racing forward with no facts but preconceptions.

AND although that is specualtive we have little else but speculation and equations like the Drake equation only allow answers using inputs unestablished in reality ..it turns on placing some number on the probability when we can not say if any number can be placed there at all.

Given the size of the Universe such an approach means we can have life elsewhere the moment we suggest there is some life out there..the equation can only deliver a positive once a number has been assigned... the number of objects in the universe in human terms is seemingly infinite so even if we say one object in a trillion may have life we have moved out of reality..we dont know that...so we introduce fiction into our sums.

It is like saying all those folk who claim abduction by aliens cant be wrong at least one must be correct...no!!!! we dont know that so any probability is meaningless.

One in a trillion seems conservative but it has no bearing on our reality which is ... so far we have no justification for attributing any number for "other life" we just dont know that yet.

As Craig says however Bayer approach allows for adjustment... if we find life on Europa or not the readjustment gives us a new probability etc but using the Bayer approach at the moment means we only input what we know and what we know is at the moment limited to Earth really (on the basis that Mars and the Moon still require further exploration to eliminate all possibilities of life).

Also probability points to a possible future not a certain future.

It is interesting to read all the views on the other life issue or non other life issue

alex

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  #75  
Old 02-08-2011, 04:08 PM
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The title (NO Life IS Possible) is not my opinion ! It is a mathematically legitimate outcome from the analysis. It carries no more weight than the optimistic "Life IS Possible" statement !
Sorry guys, just catching up after an IIS-less month! Not such a productive thread, but I do take issue with this statement Craig.

The only scenario in which the thread title might be 'legitimate' is where a different set of physical laws operated in the emergence of life in our own solar system - essentially a Creation scenario.

Ignoring that, we already know that the operation of natural physical processes on star stuff in our Universe has produced life, and life as we know it. We are an example of it. Therefore we can be utterly certain that it is possible elsewhere in the Universe, regardless of the processes involved.

This of course has no bearing on the likelihood of it, which is a different issue.

Cheers -
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