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In this case the pieces at any particular stage are all the same finite size, and so one could conclude that the result of carrying on the procedure infinitely would be pieces the same size, which if they exist according to Zeno is greater than zero; but an infinity of equal extended parts is indeed infinitely big.
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They're so infinitely vast.
Indeed, the infinitely small British constitution ranks highest by this standard.
And, in fact, for any irrational number, there is a sequence of rational numbers that approaches it in the limit (indeed, there are infinitely many such sequences).
And so, almost infinitely, on.
America and indeed the world are infinitely indebted to her.
Indeed, the car was infinitely more poised traveling at highway speeds than at the stop-and-go rhythm of our neighborhood.
So, for example, his critique of atomism already suggests that Leibnizian bodies must always be flexible or "soft" to some degree,[13] fill every region of the natural world, and be infinitely divisible, indeed, be infinitely divided.
However, although the argument may seem to pose a real problem for theism, the theologians were well prepared it had been discussed since the thirteenth century when Thomas Aquinas suggested that God could indeed have created an infinitely old universe.
Moreover, if indeed (as seems unavoidable) infinitely many points remain after the division, then, following Zeno, the magnitude may be taken to be a (finite) motion, leading to the seemingly absurd conclusion that infinitely many points can be "touched" in a finite time.
But is infinite information infinitely valuable?
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com