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#1 to Infinity is the third greatest hits album by American singer and songwriter Mariah Carey.It was released on May 18, 2015 in the United States, by Sony Music. [a] The North American edition of the album compiles Carey's then eighteen US Billboard Hot 100 number-one singles, the highest for a solo artist, [b] while the international edition excludes some US number-ones in favor of ...
#1 to Infinity was a concert residency by American singer-songwriter Mariah Carey at The Colosseum at Caesars Palace in Las Vegas. It began on May 6, 2015, and concluded on July 18, 2017. The show featured all eighteen of Carey's US number-one singles in chronological order. [1] [2] [3]
Despite praising the song, several critics wrote that "Infinity" was unlikely to become her nineteenth number-one on the Billboard Hot 100. [ 1 ] [ 8 ] [ 9 ] In 2020, Billboard ranked it as the 94th greatest song of Carey's career.
One-to-one correspondence between an infinite set and its proper subset. A different form of "infinity" is the ordinal and cardinal infinities of set theory—a system of transfinite numbers first developed by Georg Cantor. In this system, the first transfinite cardinal is aleph-null (ℵ 0), the cardinality of the set of natural numbers.
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The aleph numbers differ from the infinity (∞) commonly found in algebra and calculus, in that the alephs measure the sizes of sets, while infinity is commonly defined either as an extreme limit of the real number line (applied to a function or sequence that "diverges to infinity" or "increases without bound"), or as an extreme point of the ...
All details have the same title, "1965 / 1 – ∞"; the project had no definable end, and the artist pledged his life to its ongoing execution: "All my work is a single thing, the description from number one to infinity. A single thing, a single life", "the problem is that we are, and are about not to be".
For example, (aleph-nought) denotes the smallest infinite cardinal number (representing the size of the set of natural numbers), and denotes the smallest infinite ordinal number. The infinity symbol may also be used to represent a point at infinity, especially when there is only one such point under consideration.