uncountable set

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uncountable set

[¦ən′kau̇nt·ə·bəl ′set]
(mathematics)
An infinite set which cannot be put in one-to-one correspondence with the set of integers; for example, the set of real numbers.
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Chiwoniso)", "Take Me Higher", "In My Funk", "Uncountably Infinite" (feat.
So there might be an uncountably infinite number of phenomena and only a small, countably infinite subset describable by science.
But we know full well that the number of objects is transdenumerable: uncountably infinite. (Think of the real numbers for example.) So there just are not enough names for everything.
Given the fact that the interval between 1 and the square root of 2 is less than 1/2, it might seem unfathomable that the numbers in this interval contain an uncountably infinite set of irrationals.
This second, larger infinite number is so much larger than our first countably infinite infinity of whole numbers, [yen], that it is an uncountably infinite number!