Well, perhaps I misunderstood you then. It was apparent to me that you were saying that probability over time would increase. But speaking in terms of life forming from a reaction of inorganic materials, then there's no "over time". There's only a whole bunch of "one shots" to get the job done. So long-term probability is 100% irrelevant. There are only a whole bunch of independent rolls of the dice. If I understood you correctly, then your atheistic faith would be your bias. If I misunderstood you, then please forgive my oversight.
There you go mixing apples and oranges again. You and Knight obviously didn't understand my discussion of degrees of freedom either. Per event probability for stochastic processes is stable. The chances of getting heads on the millionth flip doesn't matter what happened before or after. We agree on that. But conjoint probabilities depend the number of events - generally a function of time if the events keep occurring through time.
Now let's assume you flip a coin every second from now on, for billions of years if you like. What is the probability that you will flip 10, 100, or 100 billion heads in a row in the future? If you really understand statistics as you say you do you should be able to easily answer the following basic questions:
1. How long with it take before there is a 95% chance you will row 10 heads in a row? How long for a 99% chance. How long for a 99.99999999% chance?
2. Now do the same thing for 100 and 100 billion heads in a row.
What you should know simply by common sense is that the more random events have to occur simultaneously "just right", e.g., the longer you have to wait. Likewise, the higher a level of certainty you require also requires you wait longer.
Are you still following me? OK, let's hope so. Now do the same thing for Knight's space message. Use whatever signal encoding method you like for each letter (like ascii) and make whatever assumptions you like about what density of signals/sec SETI is capable of reading. Now compute the conjoint probabilities of all those letter-signals being observed to come together into that one unified message randomly. For example what is the expectation time you need to expect to receive such a message with 99% certainty? I don't have to sit down and do such calculations to know that the time it would take is unimaginably longer than the universe is old - 14 billion years.
So the likelyhood of Knight's message occuring by chance does increase as you integrate conjoint probability over time - every day as long as there are new signals being monitored. But without any mechanism to select particular random signals, letters, or words in a non-random manner, like evolution does (acting upon each separate or conjoint random mutation through natural selection) the chances of conjoint occurance increases extremely slowly over time relative to a deterministic process like evolution. Such discrepancies arise and grow exponentially the more complexity you insist be embodied into one event. If scientists said that in order for evolution to work a large number of different mutations all had to occur simulateously without any natural selection process in-between I would agree that the theory was nuts. But that ain't the theory.
If you and Knight thought this was all some ingenious trap to catch those of us who understand and accept evolution then you've just been hoisted by your own petard. I didn't need any "atheistic faith" (LOL) to do it either - just reason and logic and a little bit of intelligence.
True, but probabilistic thinking in no way affects reality.
LOL - really? If you agree we all believe via probabilistic reasoning then that enables our beleifs to influence our actions and perceptions, that, in turn, affect outcomes and history.