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After repeating essentially the definition in Grundlagen of "inauthentic infinite," which he now calls "potential infinite (apeiron)," (14) he continues More generally, I speak of a potential infinite in all places where an indefinite quantity is considered which is capable of innumerably many determinations.
There are innumerably many conceptual possibilities regarding the future behavior of the world, most of which are inconsistent with the beliefs and seemings at issue.
(12.) "According to the New Testament, the only calculation forgiving allows is that one should forgive seven times a day, and seventy times seven, that is to say, innumerably, countlessly, incalculably.
The neighbors are fixed, many in number, and are set to anticipate interaction innumerably over the time they will remain neighbors.
How innumerably I'll pray for her heart's pulsings and her,
In what is perhaps the ultimate impossible fusion of opposites, Fortune is thus both innumerably many things and nothing at all.
This function has innumerably many minima but it is extremely difficult to obtain any of them.
The top category was changed from the catch-all "Although I am not innumerably satisfied, I am generally satisfied with life now" to the more demanding "Completely satisfied." Not surprisingly, the proportion reporting their well-being in this highest category declined from 18.3 percent to 4.4 percent.
So, at the end of the day, when the long afternoon light fades from windows and darkness envelopes all, I imagine the playful philosopher Nietzsche slipping into our loneliest of lonely moments and whispering in our ears, "This life of yours with all its pains and joys and thoughts and sighs, these trees and this moonlight and this spider and I myself: Is this the sort of life you would will to live over and over, innumerably many times?" (Nietzsche, 1974, p.
Given innumerably small perturbations early on and their unpredictable, though large effects later on, it becomes impossible to backtrack from effects to causes (you can't uncook an omelet).
The situation in Congress is even more Byzantine, with 20 or more authorization and appropriations committees (and innumerably more subcommittees) in the Senate and House each exercising jurisdiction over various pieces of the publicly funded R & D enterprise.
But even when he had completed them, he found "it was impossible not to look again, and to descry the ground, how thickly and innumerably yet it was strewn with the facts or notions of war experience" (8).