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→Academic and Technical Definitions: Spelling, Grammar, and General Cleanup
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/>
==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.