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===Prevalent meaning=== {{further|Cofinite set}} Throughout mathematics, "almost all" is sometimes used to mean "all (elements of an [[infinite set]]) except for [[finite set|finite]]ly many".{{r|Cahen1|Cahen2}} This use occurs in philosophy as well.{{r|Gardenfors}} Similarly, "almost all" can mean "all (elements of an [[uncountable set]]) except for [[countable set|countably]] many".{{r|Schwartzman|group=sec}} Examples: * Almost all positive integers are greater than 10<sup>12</sup>.{{r|Courant|page=293}} * Almost all [[prime number]]s are odd (2 is the only exception).<ref>{{Cite book|last1=Movshovitz-hadar|first1=Nitsa|url=https://books.google.com/books?id=lp15DwAAQBAJ&q=Almost+all+prime+numbers+are+odd&pg=PA38|title=Logic In Wonderland: An Introduction To Logic Through Reading Alice's Adventures In Wonderland - Teacher's Guidebook|last2=Shriki|first2=Atara|date=2018-10-08|publisher=World Scientific|isbn=978-981-320-864-3|pages=38|language=en|quote=This can also be expressed in the statement: 'Almost all prime numbers are odd.'}}</ref> * Almost all [[polyhedra]] are [[regular polyhedron#The regular polyhedra|irregular]] (as there are only nine exceptions: the five [[platonic solid]]s and the four [[Kepler–Poinsot polyhedron|Kepler–Poinsot polyhedra]]). * If <var>P</var> is a nonzero [[polynomial]], then <var>P(x)</var> ≠ 0 for almost all <var>x</var> (if not all ''x'').
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