07-28-2021, 04:32 PM
(07-28-2021, 03:00 PM)Patrick Wrote: "several infinities" would still be "inside" Infinity (with a capital I).
What boggles my mind about Infinity is that it is somehow "more" than the set of all possibilities.
That's also how I sometimes see it, especially since in math there are infinities within infinities. However my guess now is that there is only one infinity without infinities inside it. I take Ra's description of how infinity can only be one as excluding the possibility of infinities inside the one infinity.
For example in math there are an infinite number of positive numbers and also an infinite number of negative numbers. I have started to use Aristotle's potential infinities for cases like that. A simple reasoning is that there isn't any largest number, so it's impossible to have a 'completed' infinite set of numbers. With potential infinities there is an endless list of numbers that never can be completed.
Quote:"Carl Friedrich Gauss's views on the subject can be paraphrased as: "Infinity is nothing more than a figure of speech which helps us talk about limits. The notion of a completed infinity doesn't belong in mathematics."" - Wikipedia