You can’t reverse the order, because there is a least element but no greatest element. So they can’t be swapped round.
The time taken to reverse the ordering of an ordered list depends on the size of the list. Yes, if the size is infinite you cannot reverse it. Or print it out. Or sum it. Or find the median. Infinity messes things up. It certainly doesn’t lead us to assuming:
“Things can be considered in order of complexity but not in order of simplicity (1/compexity) and therefore the most complex things must be lower probability than simple things.”
I say this is just demonstrating “things you shouldn’t do with infinity”, not proving Occams Razor.
the most complex things must be lower probability than simple things
That is not a conclusion. By the definitions given, there is no “most complex thing”; rather, for any given element you pick out that you might think is the most complex thing, there are infinitely many that are more complex.
You can’t reverse the order, because there is a least element but no greatest element. So they can’t be swapped round.
The time taken to reverse the ordering of an ordered list depends on the size of the list. Yes, if the size is infinite you cannot reverse it. Or print it out. Or sum it. Or find the median. Infinity messes things up. It certainly doesn’t lead us to assuming:
“Things can be considered in order of complexity but not in order of simplicity (1/compexity) and therefore the most complex things must be lower probability than simple things.”
I say this is just demonstrating “things you shouldn’t do with infinity”, not proving Occams Razor.
That is not a conclusion. By the definitions given, there is no “most complex thing”; rather, for any given element you pick out that you might think is the most complex thing, there are infinitely many that are more complex.
Infinity is not magic.