I have been in a revived discussion with Martin, The author of the Thomistic philosophy blog known as
Rocket Philosophy. The discussion first began three years ago on
my post where I was talking about infinite series, and WL Craig's illogical "proof" that such a thing can't exist. Theists make claims of that sort to bolster their theistic arguments, assuming that there must be a first cause or a first mover. For the record, while I agree that there cannot be an infinite set of physical things within the confines of our finite universe, there is no reason in logic or mathematics that an infinite set of things cannot exist in principle, and Craig's argument (based on mathematical logic) is both naive and incorrect. But the comments following my article eventually led to the topic of "
Essentially Ordered Series", and Martin entered the fray, trying to explain to me what that is, and that I am exasperatingly stupid because I couldn't understand the concept. Martin later made comments to that effect on his own blog, like this:
Another time I was trying to get skeppy, again, to just UNDERSTAND what is meant by "essentially ordered series" and he refuse to allow his brain to go that far. Carrying on and on about "science!!!!" and how "science!!!!" has refuted essentially ordered series. Here is that thread: http://theskepticzone.blogspot.com/2014/09/theistic-arguments-series-on.html - Martin
It is my contention that Martin is so stuck on his medieval Thomistic philosophy that he refuses to take, or even to attempt to understand, a view that is more consistent with modern science. Anyway, I stayed out of the discussion at his blog until just recently, and neither of us has budged in our position. In light of that, I thought it would be worthwhile to provide a more complete explanation of my own understanding of the concept of essentially ordered series, and why it is shown to be meaningless in the context of modern science.