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)

    It is comedy which typifies, where it is tragedy which individualizes; where tragedy observes the nice distinctions between man and man, comedy stresses those broad resemblances which make it difficult to tell people apart.
    Harry Levin (b. 1912)

    Strait is the gate, and narrow is the way, which leadeth unto life, and few there be that find it.
    Bible: New Testament Jesus, in Matthew, 7:14.

    From the Sermon on the Mount.

    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)