Informal LogicLanguage and Definitions

Ambiguity and Vagueness

A word is ambiguous when it has two distinct meanings in context, and vague when its boundary is fuzzy.

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A statement is true or false, but only once we know what it says. Unclear words get in the way. Two kinds of unclearness are easy to confuse.

Key idea

A word is ambiguous when it has two (or more) distinct meanings that both fit in context. A word is vague when it has one meaning but no sharp boundary.

Why it works

The two need different fixes. Ambiguity is fixed by saying which meaning you intend ("a bat, the animal"). Vagueness is fixed by drawing a line ("tall, meaning over 180 cm"), which only matters when a decision depends on the edge.
Two meanings versus a blurry edge.
SentenceWordKind
"I found a bat under the porch."batAmbiguous: an animal or a baseball bat
"The team needs a tall player."tallVague: no exact height where tall begins
"Meet me at the bank."bankAmbiguous: a money bank or a riverbank
"Bring a few snacks."fewVague: three? six?

Worked example: Which kind?

"Ben said the soup was too hot." Is "hot" ambiguous or vague?
  1. Can "hot" mean two different things here? Yes: high in temperature, or spicy.
  2. Both fit the sentence, so we cannot tell which Ben meant.

Answer: Ambiguous. (Within one meaning, "hot" is also vague, but the bigger problem here is the two meanings.)

Worked example: One meaning, fuzzy edge

"The museum is close to the school."
  1. Does "close" have two separate meanings here? No: it means near.
  2. But how near is close? A block? A mile? There is no exact cut-off.

Answer: Vague.

Two meanings, or one meaning with a fuzzy edge?

Common mistake

Using "ambiguous" and "vague" as if they meant the same thing. Test: can you name two different meanings? Then it is ambiguous. Is there one meaning but no exact cut-off? Then it is vague.

Practice

Pass with 3 right answers, the last 2 in a row. Each right answer earns 1 XP.

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Sources and further reading

  • Stanford Encyclopedia of Philosophy, "Ambiguity"
  • Stanford Encyclopedia of Philosophy, "Vagueness"
  • Patrick Hurley, A Concise Introduction to Logic, chapter 2 (language: meaning and definition)
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