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These topics are represented in modern mathematics with the major subdisciplines of ______ theory, algebra, geometry, and analysis, respectively.
These topics are represented in modern mathematics with the major subdisciplines of ______ theory, algebra, geometry, and analysis, respectively.
number
Mathematics is an area of knowledge that includes the topics of ______, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes.
Mathematics is an area of knowledge that includes the topics of ______, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes.
numbers
There is no general consensus among mathematicians about a common definition for their academic ______.
There is no general consensus among mathematicians about a common definition for their academic ______.
discipline
Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to ______ them.
Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to ______ them.
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A ______ consists of a succession of applications of deductive rules to already established results.
A ______ consists of a succession of applications of deductive rules to already established results.
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