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Many students do not realize the great importance of definitions to mathematics. This importance stems from the need for mathematicians to communicate with each other. If two people are trying to communicate about some subject, they must have the same understanding of its technical terms. However, there is an important structural weakness. It is impossible to define every concept.
—
A First Course in Abstract Algebra
(book)
by John B. Fraleigh
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| Language: | English |
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