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:

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    I went to the woods because I wished to live deliberately, to front only the essential facts of life, and see if I could not learn what it had to teach, and not, when I came to die, discover that I had not lived.... I wanted to live deep and suck out all the marrow of life, to live so sturdily and Spartan-like as to put to rout all that was not life, to cut a broad swath and shave close, to drive life into a corner, and reduce it to its lowest terms.
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    After reading Howitt’s account of the Australian gold-diggings one evening,... I asked myself why I might not be washing some gold daily, though it were only the finest particles,—why I might not sink a shaft down to the gold within me, and work that mine.... At any rate, I might pursue some path, however solitary and narrow and crooked, in which I could walk with love and reverence.
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