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:

    Many parents worry that they will reinforce a fear by being overly sympathetic. It helps to know that when children are permitted to avoid an animal or an object that frightens them, they tend to overcome a fear sooner than if parents push them to confront it.
    Cathy Rindner Tempelsman (20th century)

    Savages cling to a local god of one tribe or town. The broad ethics of Jesus were quickly narrowed to village theologies, which preach an election or favoritism.
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    Society gains nothing whilst a man, not himself renovated, attempts to renovate things around him; he has become tediously good in some particular but negligent or narrow in the rest; and hypocrisy and vanity are often the disgusting result.
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    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)