Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary)

Am 08.10.2024 um 02:38 schrieb Chris M. Thomasson:

On 10/7/2024 4:01 PM, Richard Damon wrote:

I am allowing that an INFINITE being MIGHT be able to comprehend something like an actual infinity. But this can not possibly be done by a finite being.

It can.
This idiot should read Peter Suber's Infinite Reflections:
"Conclusion
Properly understood, the idea of a completed infinity is no longer a problem in mathematics or philosophy. It is perfectly intelligible and coherent. Perhaps it cannot be imagined but it can be conceived; it is not reserved for infinite omniscience, but knowable by finite humanity; it may contradict intuition, but it does not contradict itself. To conceive it adequately we need not enumerate or visualize infinitely many objects, but merely understand self-nesting. We have an actual, positive idea of it, or at least with training we can have one; we are not limited to the idea of finitude and its negation. In fact, it is at least as plausible to think that we understand finitude as the negation of infinitude as the other way around. The world of the infinite is not barred to exploration by the equivalent of sea monsters and tempests; it is barred by the equivalent of motion sickness. The world of the infinite is already open for exploration, but to embark we must unlearn our finitistic intuitions which instill fear and confusion by making some consistent and demonstrable results about the infinite literally counter-intuitive. Exploration itself will create an alternative set of intuitions which make us more susceptible to the feeling which Kant called the sublime. Longer acquaintance will confirm Spinoza's conclusion that the secret of joy is to love something infinite."
Source: http://legacy.earlham.edu/~peters/writing/infinity.htm
 > Well, us as finite beings know that there is not a largest natural
 > number... That right there is a basic understanding of the infinite:
 > Fair enough?
Right.