Showing posts with label miracles. Show all posts
Showing posts with label miracles. Show all posts

Sunday, April 2, 2017

P.Z. Myers and the Bridge Hands Fallacy

In P.Z. Myers' universe all improbable outcomes are equally meaningless.  He states:
If I played bridge very, very fast, dealing out one hand every minute, that means I'd still have to wait 1.1 million years to get any particular hand you might specify ahead of time…and my life expectancy is only on the order of 102 years. Therefore, bridge is impossible. Similarly, if you add up all the nucleotide differences between me and my cousin, the likelihoods of these particular individuals is infinitesimally small…but so what? We're here.
No more unlikely than other hands
If I were to flip a coin 100 times, and the resulting pattern of coin flips exhibited inordinately high randomness deficiency, I could argue that the resulting pattern was no more special than a bit sequence with Kolmogorov complexity K(x) > 92 bits.  Using Myers' logic, that is.

But that would completely miss the point of what randomness deficiency is.  Myers is essentially arguing that since all microstates in a 'gas in a box' are equally unlikely, there isn't anything unusual about ending up in an improbable macrostate (like say, all the gas particles consolidated in one small corner of the box) since that particular microstate is no more unlikely that any of the quadrillions less special microstates.

If I am handed a Rubik's cube in a scrambled state, and I give it 20 turns and find it completely unscrambled, in Myers' world since this unscrambled state is just as likely to be generated as any other cube configuration, most of which are very disordered, we shouldn't be that amazed if the outcome is one of those highly ordered states.

Wait, you may say, don't highly unlikely coincidences happen all the time?  Sure they do.  If you expand your sample space to the space of all events, then there are myriads of ways to be surprised by coincidences--but then the bits of information needed to describe/prescribe exactly which of these quintillions of ways to be surprised was/will be instantiated approaches the logarithm of all the possible ways.   It's a one-in-septillion chance to be surprised in any one way, but you've bought a septillion lottery tickets by being willing to be surprised by any one of them.  But there will still be some limit to the number of lottery tickets even if one's 'universe of discourse' is the known physical universe.  As one approaches the limit of the Universal Plausibility Bound, one starts to exhaust the universe's capacity for producing accidental coincidences.  As the randomness deficiency approaches 450-500 bits, the sequence starts to be inexplicable in terms of chance alone, even with helpful distributions.

See Richard Dawkins below argue that coincidences are meaningless, in a very similar manner to P.Z. Myers, and consider why in a world in which "biology is the study of things that appear to be designed" it is important to be able to dismiss all incredible coincidences.  Are all coincidences meaningless, or do we generally need to apply reason to separate meaningless coincidences from meaningful coincidences? 

Wednesday, September 16, 2015

Not-So-Simple Origins (or The Fortuitous Labyrinth Ball Game)



From "A Simpler Origin of Life" by Robert Shapiro (emphases mine):


The [speculated] exceptionally high urea concentration was rationalized in the Nature paper by invoking a vision of drying lagoons on the early Earth. In a published rebuttal, I calculated that a large lagoon would have to be evaporated to the size of a puddle, without loss of its contents, to achieve that concentration. No such feature exists on Earth today. 
The drying lagoon claim is not unique. In a similar spirit, other prebiotic chemists have invoked freezing glacial lakes, mountainside freshwater ponds, flowing streams, beaches, dry deserts, volcanic aquifers and the entire global ocean (frozen or warm as needed) to support their requirement that the "nucleotide soup" necessary for RNA synthesis would somehow have come into existence on the early Earth. 

The analogy that comes to mind is that of a golfer, who having played a golf ball through an 18-hole course, then assumed that the ball could also play itself around the course in his absence. He had demonstrated the possibility of the event; it was only necessary to presume that some combination of natural forces (earthquakes, winds, tornadoes and floods, for example) could produce the same result, given enough time. No physical law need be broken for spontaneous RNA formation to happen, but the chances against it are so immense, that the suggestion implies that the non-living world had an innate desire to generate RNA. The majority of origin-of-life scientists who still support the RNA-first theory either accept this concept (implicitly, if not explicitly) or feel that the immensely unfavorable odds were simply overcome by good luck.
 But this is what all evolutionary plausibility arguments invoke.  We are here, so evolution happened.  So whatever unlikely natural event  needed to occur to make it happen must have happened.

To say that the events invoked must be a priori not ridiculously unlikely is to threaten the whole edifice of evolution.  Unless, of course, the self-organization people are able to pull a rabbit out of their hat with concrete results on origin of life (not just interesting ideas).

Think of a labyrinth ball game (pictured).  The ball can always get from start to finish without any intelligent maneuvering, as long as the right fortuitous conditions occur (ground vibrations, air gusts, etc.).  In fact there are innumerable such scenarios that can account for the ball getting from start to finish on its own.  They are so outweighed by the far more innumerable ways that the ball never gets there.