“Understand the problem. What kind of problem is it? There are three main types of problems:
‘Show that …’ or ‘Evaluate …’ questions, in which a certain statement has to be proved true, or a certain expression has to be worked out;
‘Find a…’ or ‘Find all…’ questions, which requires one to find something (or everything) that satisfies certain requirements;
‘Is there a …’ questions, which either require you to prove a statement or provide a counterexample”

— Terence Tao

and thus is one of the previous two types of problem
Source: Solving Mathematical Problems (2nd ed., 2006), Ch. 1 : Strategies in problem solving

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Terence Tao 1

Australian mathematician 1975

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Terence Tao 1

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