Fifty Degrees Below
by Kim Stanley Robinson · 25 Oct 2005 · 560pp · 158,238 words
guy who didn’t follow right in his footsteps.” “You did that?” Frank said. “Yeah well,” Zeno said. He looked away, shrugged. “That was my Zeno’s paradox moment I guess. I mean if you’re always only halfway there, then you can’t ever step on no mine, right?” Frank laughed. “It
Paradox: The Nine Greatest Enigmas in Physics
by Jim Al-Khalili · 22 Oct 2012 · 208pp · 70,860 words
BC. As an example in pure logic it couldn’t be simpler. But don’t be fooled; in this chapter we will consider several of Zeno’s paradoxes and finish off by bringing his ideas right up to date with a version of one that can only be explained using quantum theory. Well
Zero: The Biography of a Dangerous Idea
by Charles Seife · 31 Aug 2000 · 233pp · 62,563 words
were stumped by the problem, but they did find the source of the trouble: infinity. It is the infinite that lies at the heart of Zeno’s paradox: Zeno had taken continuous motion and divided it into an infinite number of tiny steps. Because there are an infinite number of steps, the Greeks
Infinite Powers: How Calculus Reveals the Secrets of the Universe
by Steven Strogatz · 31 Mar 2019 · 407pp · 116,726 words
. During the Inquisition, the renegade monk Giordano Bruno was burned alive at the stake for suggesting that God, in His infinite power, created innumerable worlds. Zeno’s Paradoxes About two millennia before the execution of Giordano Bruno, another brave philosopher dared to contemplate infinity. Zeno of Elea (c. 490–430 BCE) posed a
The Drunkard's Walk: How Randomness Rules Our Lives
by Leonard Mlodinow · 12 May 2008 · 266pp · 86,324 words
meaning of expectation. Chapter 5: The Dueling Laws of Large and Small Numbers The extent to which probabilities are reflected in the results we observe…Zeno’s paradox, the concept of limits, and beating the casino at roulette. Chapter 6: False Positives and Positive Fallacies How to adjust expectations in light of past
The Infinite Book: A Short Guide to the Boundless, Timeless and Endless
by John D. Barrow · 1 Aug 2005 · 292pp · 88,319 words
idea that motion is possible is not quite so obvious at all. He produced four arguments to show that motion is impossible. These arguments, or ‘Zeno’s Paradoxes’ as they became known, were never refuted in ancient times and continue to attract serious attention even today. The first two21 draw on the mystery
The Clockwork Universe: Saac Newto, Royal Society, and the Birth of the Modern WorldI
by Edward Dolnick · 8 Feb 2011 · 439pp · 104,154 words
take a certain amount of time to cross to the halfway point, and then more time to cross half the remaining distance, and so on. Zeno’s paradox. If it takes 1 second to walk to the middle of a room, and ½ second more to walk half the rest of the way, and
The Clock Mirage: Our Myth of Measured Time
by Joseph Mazur · 20 Apr 2020 · 283pp · 85,906 words
THE CLOCK MIRAGE Also by Joseph Mazur Euclid in the Rainforest: Discovering Universal Truth in Logic and Math (2006) Zeno’s Paradox: Unraveling the Ancient Mystery behind the Science of Space and Time (2008) What’s Luck Got to Do with It? The History, Mathematics, and Psychology
Life on the Edge: The Coming of Age of Quantum Biology
by Johnjoe McFadden and Jim Al-Khalili · 14 Oct 2014 · 476pp · 120,892 words
that resolution had to wait until the invention of calculus in the seventeenth century, more than two thousand years after Zeno posed his puzzle. Nevertheless, Zeno’s paradox survives, at least in name, in one of the most peculiar features of quantum mechanics. Quantum arrows really can be frozen in time by the
When Einstein Walked With Gödel: Excursions to the Edge of Thought
by Jim Holt · 14 May 2018 · 436pp · 127,642 words
merely “potential one”—this is something we never encounter in the natural world. The idea of infinity was long regarded with suspicion, if not horror. Zeno’s paradoxes seemed to show that if space could be divided up infinitely into infinitesimal segments, then motion would be impossible. Aquinas argued that infinite numbers were
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