Re: Kepler space telescope spots five Earth-sized planets in our galax
ProtoAvatar, I thought of a cheesy mathematical way to express my problem with your take on the "odds"....
YOU say:
Nearly Impossible/1 = Damn Lucky
Nearly Impossible/2 = Damn Crazy
There's nearly impossible and there's ridiculously RIDICULOSLY nearly impossible, ThankQ.
Life appearing once fits in the first category.
Life appearing a second time fits in the second category.
You seem to think that life appearing a second time is only twice - or thereabouts - more improbable than life appearing once: "Well, that's like saying a number divided by two must be smaller than the original number. Yeah, I think I can grasp that if I try real hard, thanks."
This is INCORRECT.
Life appearing twice is BILLIONS of times more improbable than life appearing once, ThankQ - and I'm being VERY optimist here.
Let's start with some basic probability:
You have 2 elements - A,B - they can be arranged either A,B or B,A. The chances of one arrangement is 1 in 2.
You have 3 elements - A,B,C - they can be arranges in 6 different ways. The chances of one specific arrangement are 1 in 6.
4 elements - they can be arranged in 24 different ways. The chances of a specific arrangement are 1 in 24.
5 elements - 120 arangements. The chances of an arangement are 1 in 120.
6 elements - 720 arrangements. 1 chance in 720.
7 elements - 5400 arrangements. 1 chance in 5400.
8 elements - 43200 arrangements. 1 chance in 43200.
etc, etc - the chances fall
exponentially, NOT linearly.
That's the decrease in chances, ThankQ.
Let's apply this to life:
Life appearing once requires thousands to millions of steps in just the right order - let's take 1000 and see how many arrangements are possible - and what is the chance for a specific arrangement.
Life appearing twice - two thousand steps in the right order - take 2000 and see how much the chance decreased (FAR FAR more than merely linearly - as in twice or so, ThankQ).
And make no mistake - the numbers you will obtain for the chances of life appearing are FAR larger than in reality. You see, I made two EXTREMELY optimistic assumptions:
I assumed that only a thousand steps are necessary for life appearing once (good luck trying to obtain life in 1000 steps).
I also assumed that each of these 1000 steps/environments will appear - in reality, each of these steps/environments competes with thousands/millions of other environments possible at a specific time in Earth's history (weather is a highly complex phenomenon) - meaning, alone the chance of a specific environment appearing are 1 to thousands/millionns.