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It has later turned out that the paradox rests on an inadequate understanding of infinity.
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And though we inch ever closer to understanding these aspects of reality, we remain forever at merely the beginning of such an understanding — a "beginning of infinity" — since explanations of infinite reach necessarily remain infinitely far away, no matter how much progress we make.
The counterintuitive Galilean proposition that an infinite set of things can be equal to a part of itself becomes less murky as Mr. Aczel introduces an idea developed by the mathematician David Hilbert, the Infinite Hotel, which does enlarge one's understanding of the paradoxical properties of infinity.
But grappling with its flawed logic has led to a deeper understanding of existence, causation, time and infinity.
In his excellent Aug. 14 review of David Deutsch's "Beginning of Infinity" — a hymn to the transformative power of scientific understanding — David Albert cites Deutsch's view that cultural forces are in the long run stronger than physical or geological ones.
Half of infinity is still infinity, right?
BOSTON "Josiah McElheny: Some Pictures of Infinity".
"It's the terror of infinity.
When you go down the rabbit hole of spam, it's an infinity of infinity".
"Threshold of Infinity," paintings by Jon Olivieri and sculpture by Joe Wheaton.
It transports you into a kind of infinity feeling".
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com