[betty boop]

...the argument is made that it’s “mathematically proven that evolution is impossible”, based on probabilities of molecules arranging themselves in certain ways without some externally directed force being applied with specific intent.

Seems like a reasonable supposition that molecules do not "arrange themselves" into complete living systems, absent some guide (information). This "mathematical proof" to which you refer, what did it look like? Who created it?

[tacticalogic]

Seems like a reasonable supposition that molecules do not "arrange themselves" into complete living systems, absent some guide (information). This "mathematical proof" to which you refer, what did it look like? Who created it?

I do not know what it looks like, or who created it. It is not my assertion that it exists, only that I have, at various times, been presented with the argument that it exists. It seems based on a misperception that because mathematics is involved, the hypothesis has been "proven" in the absolute sense that applies to mathematical proofs.

As far as the molecules not "arranging themselves" being a "reasonable supposition", it is still supposition.

Going back to the original quesions about needing to declare axioms "up front" when positing a theory, was this declared as axiomatic with regard to that theory?