Informal LogicLanguage and Definitions

Kinds of Definitions

Lexical definitions report how a word is used, stipulative ones assign a new meaning, precising ones sharpen a vague word, and persuasive ones slant it.

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One way to clear up ambiguity and vagueness is to define your words. But definitions do different jobs, and each job is judged differently.

Key idea

A lexical definition reports how a word is already used. A stipulative definition gives a new word, or a new meaning, for a purpose. A precising definition sharpens a vague word. A persuasive definition slants a word to sway feelings.

Why it works

A lexical definition is a report, so it can be accurate or mistaken. A stipulative one is a choice ("let's call this a frogurt bar"), so it can be clear or unclear but not false. A precising one must fit the old meaning while drawing a line. A persuasive one hides an argument inside a definition.
Four jobs a definition can do.
KindExampleCan it be false?
Lexical"Triangle" means a closed shape with three straight sides.Yes, if it misreports usage
StipulativeIn our club, a "zoomer" is anyone who solves a puzzle in under a minute.No
PrecisingFor this contest, "tall" means 150 cm or more.It can fit badly
Persuasive"Homework" means a cruel waste of evenings.It slants rather than reports

Worked example: Name the kind

"For the race rules, 'late' means arriving more than five minutes after the start."
  1. "Late" already has a meaning, but a fuzzy one.
  2. This definition draws a sharp line for one purpose.

Answer: Precising.

Worked example: Report or choice?

"Let's call the new apple-and-yogurt snack a 'frogurt bar.'" Can this be false?
  1. It names something new; no one used "frogurt bar" for it before.
  2. It is a choice, not a report about usage.

Answer: Stipulative, so it cannot be false (only clear or unclear).

Report, choose, sharpen, or slant?

Common mistake

Judging a stipulative definition as true or false. A new name for a new thing cannot be wrong, though it can be confusing. Ask first what job the definition is doing.

Practice

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

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Builds on

Leads to

Sources and further reading

  • Stanford Encyclopedia of Philosophy, "Definitions"
  • Patrick Hurley, A Concise Introduction to Logic, chapter 2 (definitions and their purposes)
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