What is infinity?
Quick Answer
Infinity is the idea of something without any end or limit, larger than any number.
The Full Story
Infinity (∞) is not a regular number but a concept describing endlessness. The symbol was introduced by English mathematician John Wallis in 1655. In the 1870s and 1880s, Georg Cantor showed that some infinities are bigger than others: the set of whole numbers is “countably” infinite, but the real numbers, including all decimals, form a larger, uncountable infinity. Paradoxes such as Hilbert’s Hotel, a full hotel with infinite rooms that can still fit new guests, show how strange infinity is. Physicists debate whether anything in the universe is truly infinite.
Key Facts
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"Some infinities are bigger than others — here’s how"
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