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→‎Academic and Technical Definitions: Spelling, Grammar, and General Cleanup
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A definition of a name is ''arbitrary''; it can choose one narrower definition of a word extracted from a broader commonly used definition, assign a word an analogous meaning, give a word an entirely new meaning, or even apply itself to an entirely new word.  The ideas employed in a definition of a thing on the other hand are not arbitrary but must apply themselves to comprehending their object and to the extent that they fail to do so, they must be redetermined.<ref name=p78/>
 
A definition of a name is ''arbitrary''; it can choose one narrower definition of a word extracted from a broader commonly used definition, assign a word an analogous meaning, give a word an entirely new meaning, or even apply itself to an entirely new word.  The ideas employed in a definition of a thing on the other hand are not arbitrary but must apply themselves to comprehending their object and to the extent that they fail to do so, they must be redetermined.<ref name=p78/>
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===Academic and Technical Definitions===
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==Academic and Technical Definitions==
    
Many words have multiple definitions of similar connotation, such as [[line]].<ref>''Merriam-Webster's Third International Dictionary''.  1960.</ref>  A line can refer to a finite group of people in a row or a stripe of paint along the highway,<ref>''The American College Dictionary.''  Random House.  New York, 1956</ref> but in geometry, it refers strictly to an infinite mass of one dimension which can exist in other dimensions.<ref>"1.2:  Points, Lines, and Planes." Beauty, Rigor, Surprise.</ref>  The definition in geometry would be its academic definition.
 
Many words have multiple definitions of similar connotation, such as [[line]].<ref>''Merriam-Webster's Third International Dictionary''.  1960.</ref>  A line can refer to a finite group of people in a row or a stripe of paint along the highway,<ref>''The American College Dictionary.''  Random House.  New York, 1956</ref> but in geometry, it refers strictly to an infinite mass of one dimension which can exist in other dimensions.<ref>"1.2:  Points, Lines, and Planes." Beauty, Rigor, Surprise.</ref>  The definition in geometry would be its academic definition.
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