Exists < 2026 Update >

In standard English, is a verb, not a noun, so it does not take an article itself . However, the choice of article for the noun following it (e.g., "There exists a ..." vs. "There exists the ...") depends on whether the object is being introduced for the first time or is already known. Indefinite vs. Definite Articles

: Use this when introducing something new to the conversation. In mathematical logic, "There exists a number Exists

..." signifies that at least one such member exists, though you haven't identified exactly which one yet. In standard English, is a verb, not a

: Use this when referring to a specific, unique, or previously identified entity. For example, "The puncture exists in the tire" is used because the specific puncture has been found. "a" or "the" when used with "exists" and superlative Indefinite vs