Simon17: He used the illustration that in a lottery, the odds of winning are seemingly insurmountable, one in millions. Yet there is one winner, for whom those odds were against, but nevertheless the winner beat the odds.
My response was that yes, in infinity there is a chance that insurmountable odds may eventually occur--once.
But if the lottery winner won once, and then won a second time, beating the same kind of odds, is that possible? Mathematically, yes.
And if the same lottery winner won the lottery a third time, and then a fourth time, and then a fifth time, . . . .
I don't know about you, but I would start thinking the lottery was "designed" (i.e., fixed).
Possible? I suppose, but I wouldn't believe it. Would you? ;-)
* First off why, in infinity, can something highly unlikely only occur once? When you look at the winning of consecutive lotteries as a single compound event, you can look at THAT as your new event. So I disagree with your reply.
* Second you are looking at a closed system, like was described in a later post, and also a discrete probability curve. Even the probability of winning the lottery 5x in a row has a measurable (i.e. non-zero) probability. So theoretically, even this, is more likely than the common events that I described when choosing an entity from a continuous probability distribution with an uncountable number of outcomes.
* But anyway, I understand what you are saying. We can construct things that have seemingly ridiculously low odds (for example, maybe < 1/(total # of possible particle interactions in the history of the universe). But you are taking a great leap and then applying such things to a very unknown system like abiogenesis and/or early cellular evolution. Obviously there are events along the way in this development curve that are unlikely. Just how unlikely I do not think you or I (or anyone yet) is qualified to definitively answer! But certainly there were countless failed attempts in between the successes. Countless planets no doubt failed to develop life. Countless times interactions on earth failed to produce anything useful. Countless mutation fell by the way side because they were useless or problematic. So I disagree with your analogy to winning the lottery over and over and over again. Evolution is a myriad of small steps, building on one another, separated by millions upon millions of failures. After all, if your lottery were played for 4 billion years, everyone would be a winner hundreds of times over :)
By mathematical theory, that is remotely possible, but in reality I don't think so. (And math is not considered a science by a lot of scientists--it's theory.) Not me saying it--numerous scientists with credentials agree.
I have no idea what this means. Mathematical theory is not a science? Maybe in the sense that it transcends science. It is the certainty behind which science relies upon.