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From: Moebius <invalid@example.invalid>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions? (infinitary)
Date: Tue, 8 Oct 2024 09:30:44 +0200
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Am 08.10.2024 um 09:29 schrieb Moebius:
> 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:

"Perhaps it cannot be imagined but it can be conceived; it is not 
reserved for infinite omniscience, but knowable by finite humanity..."

> "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.