Why does defining a set make the actual infinite a reality?
infinite regress of nested beliefs.
Note that all these sets have a countably infinite number of members.
The question is if G-d's knowledge is infinite, how can something infinite be placed in something finite, the written torah.
DVD run time is 30 minutes however, with looping it becomes infinite.
infinite in extent.
The finite nature of the human mind cannot grasp and comprehend the infinite.
For Aristotle all the elements in an actual finite exist simultaneously, whereas a potential infinite is realized over time by addition or division.
infinite wisdom they have recently changed the format in which these are sent.
Consider the language obtained from 1 K = by adding a denumerably infinite stock of new individual constants c 0, c 1, .
infinite in number, then these two " probabilities " are identical.
It is beyond finite minds to understand the infinite.
infinite loop.
However, if these sets are considered as single rep-tiles, then I cannot demonstrate that the full set of rep-tiles is uncountably infinite.
Washington Post —
“the austin american statesman, in its
infinite wisdom, has moved doonesbury to the classified section. ....
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“" as a jew, i might respond that i also believe in the
infinite value of human life.....
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“some designers from nigeria, ukraine, thailand and kazakhstan see fashion week in the u.s. capital as an opportunity to gain high-profile exposure without drowning in the
infinite sea of designers who flock to the big apple year after year.....
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“ but there are, manzi says, an "all-but-
infinite" number of differences beyond that. ....
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“as someone who blanked on final jeopardy against actual humans (or, as we're calling them these days, "meat-sacks") and responded by writing "who is that dude?" and making a face that would probably have launched a thousand ships, in a frantic effort to escape from the face, i can vouch for both total inability to beat watson and
infinite willingness to laugh about it. ....
”
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“not like today, when a near-
infinite avalanche of e-mail crowds our digital inboxes.....
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Wall Street Journal —
“it's not a spirit but a wine and even though it's a fortified wine, an open bottle of it doesn't last an
infinite amount of time. ....
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“if you shuffle the deck
infinitely many times, the card orderings must necessarily repeat.....
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“similarly, in an
infinite expanse of space, particle arrangements must repeat tooæ’??there just aren't enough different particle configurations to go around.....
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“the city's riverfront promenadeæ’??it's an
infinite walk of water and sand, the river's edge, where my legs wander without tiring and words wander in my mind.....
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“our universe may be just one among an
infinite numberæ’??some supporting life, others sterile.....
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“following the edict that "in an
infinite universe anything is possible," mr. greene introduces the idea of an
infinite number of almost identical copies of our universe,
infinitely far away from us, and the idea of universes that follow one another in time, like beads on a string. ....
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“ you've got
infinite amounts of solar energy out there and you've got a lot of smart people around the world.....
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“the company showed a brief cinematic video demonstrating new coming features of its unreal development kit, which is the foundation of games as high-profile as mass effect 2 and the upcoming bioshock
infinite and as obscure as chicken coup on the iphone.....
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finite