for all
The phrase "for all" is versatile, used to indicate universality in mathematics and logic, and to emphasize a point despite potential contradictions in everyday language.
Definition
B2General
(common, informal)Despite any evidence or circumstances to the contrary.
Example
- For all his wealth, he was not happy.
- The movie was entertaining for all its flaws.
C1Mathematics
(technical, academic)Indicates that a statement applies to every element in a set.
Example
- For all x in the set of natural numbers, x + 1 is also a natural number.
C1Logic
(technical, academic)A universal quantifier indicating that a statement is true for every instance within a specified range.
Example
- For all individuals in the group, the rule must be followed.
Similar
Terms that have similar or relatively close meanings to "for all":
all forof allall toand allall ofall inall in allfor oneall as oneof all thingsall the sameafter allfor youfor toall thatall thereall togetheron all countsfor itall overalmost allbut forinclusive oron all handsall kinds offor the agesdo for