Fallacies of Definition - Overly Broad or Narrow Definitions

Overly Broad or Narrow Definitions

A definition is no good if it defines its subject with overly wide or narrow parameters. For example, "a shape with four sides of equal length" is not a good definition for 'square'. Why? Not only squares have four sides of equal length; rhombi do as well. This is proven by identifying not only the term being defined, but also the conditions in the definition. Likewise, defining a 'rectangle' as "a shape with four perpendicular sides of equal length" is not valid because it is too narrow.

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Famous quotes containing the words overly, broad, narrow and/or definitions:

    We Americans are supposed to be overly concerned about the child. But actually the intelligent care of children in our society is balanced by a crass indifference to the helplessness of infancy and youth. Cruelty to children has become more widespread but less noticed in the general unrest, the constant migration, the family disintegration, and the other manifestations of a civilization that has been torn away from its original moorings.
    Agnes E. Meyer (1887–1970)

    A broad margin of leisure is as beautiful in a man’s life as in a book. Haste makes waste, no less in life than in housekeeping. Keep the time, observe the hours of the universe, not of the cars. What are threescore years and ten hurriedly and coarsely lived to moments of divine leisure in which your life is coincident with the life of the universe?
    Henry David Thoreau (1817–1862)

    Bring the balloon of the mind
    That bellies and drags in the wind
    Into its narrow shed.
    William Butler Yeats (1865–1939)

    What I do not like about our definitions of genius is that there is in them nothing of the day of judgment, nothing of resounding through eternity and nothing of the footsteps of the Almighty.
    —G.C. (Georg Christoph)