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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions? (infinitary)
Date: Tue, 8 Oct 2024 12:36:24 -0700
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On 10/8/2024 3:26 AM, FromTheRafters wrote:
> Moebius wrote :
>> Am 08.10.2024 um 09:30 schrieb Moebius:
>>> 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?
>>
>> "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." :-P
> 
> Yes, consider "Lather, Rinse, Repeat" is infinite unless and until we 
> restrict it to "Lather, Rinse, Repeat 5 times" or Lather Rinse Repeat 
> until bottle is empty" or some such recursion bailout is reached or 
> iteration count completes.

Or until our finite bodies simply, die... ;^o

Well, then again there just might be life after death. Well, shit. ;^)