Definition

A definition is a statement specifying the necessary and sufficient conditions for a term to apply to an object. Good definitions are the foundation of clear argument: when parties to a debate mean different things by their key terms, they are not really arguing about the same thing. Definitions embed knowledge — they stand in relation to each other in a web of meaning.

How It Appears Per Course

PHIL 252

Central to Unit 4. Definitions enable arguments from definition (Unit 4) and prevent equivocation (Unit 6). The unit provides a taxonomy of definition types and six rules for evaluating them.

Necessary vs. Sufficient Conditions

  • Necessary condition: must be present for category membership. Being a mammal is necessary to be a dog (all dogs are mammals).
  • Sufficient condition: alone guarantees membership. Being a poodle is sufficient to be a dog (if it’s a poodle, it’s a dog).
  • A good definition specifies conditions that are jointly necessary AND sufficient: all and only members of the category satisfy them.

Genus-Species Structure

Place the term in its broader class (genus), then add the distinguishing features (differentia) that mark the specific type (species).

  • “A bungalow is a house [genus] with only one storey [differentia].”
  • “A dog is a domesticated canine mammal.”

Types of Definition

TypeDescriptionExample
LexicalStandard dictionary/common meaning”Bachelor: unmarried man”
StipulativeAssigned for a specific purpose or context”In this paper, ‘species’ means X”
PrecisingClarifies a vague or broad termLegal definition of “reasonable person”
PersuasiveSeeks to influence attitudes, not just clarify”Abortion is murder” as a definition

The Six Rules for a Good Definition

RuleProblem If ViolatedExample of Bad Definition
Not too broadAdmits things that shouldn’t qualify”Horse: an animal” — includes all animals
Not too narrowExcludes things that should qualify”Canadian citizen: born in Canada” — misses naturalized citizens
Not vague or obscureUnclear what is being definedUsing jargon the audience doesn’t understand
Not circularUses the term itself in the definition”Detoxification: removing toxins from the body” (just repeats the root)
Not negative onlyTells you what something isn’t, not what it is”Vitamin: not a mineral”
Not slanted or biasedContains evaluative/emotional content”Politicians: professional liars”

Arguments from Definition

When the conclusion of an argument follows necessarily by virtue of the meaning of the terms involved. If definitions are clear and mutually accepted, such arguments are deductively valid.

  • “Bruce is a parent [premise]. Therefore, Bruce has a child [conclusion].”
  • The validity comes entirely from what “parent” means.

Cross-Course Connections

ClassificationSystems — definitions are classification rules for individual terms
Enthymeme — many enthymeme implicit premises are definitional claims
FallaciesOfAmbiguity — equivocation occurs when definitions shift within an argument
Validity — arguments from definition are valid when definitions are precise and shared

Key Points for Exam/Study

  • A good definition = jointly necessary AND sufficient conditions
  • Know all six rules and be able to identify violations (exam will likely test this)
  • Necessary ≠ sufficient: being a mammal is necessary but not sufficient to be a dog (cats are mammals)
  • “Talking past each other” happens when parties use the same term with different definitions
  • Persuasive definitions masquerade as neutral definitions while actually pushing an agenda

Open Questions

  • What do we do when a term (like “species” in biology) has multiple legitimate technical definitions for different purposes?