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Mathematics is an area of knowledge that includes the topics of numbers, 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 numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes.
mathematics
These topics are represented in modern ______ with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively.
These topics are represented in modern ______ with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively.
mathematics
Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them.
Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them.
mathematics
These ______ consist of either abstractions from nature or—in modern mathematics—entities that are stipulated to have certain properties, called axioms.
These ______ consist of either abstractions from nature or—in modern mathematics—entities that are stipulated to have certain properties, called axioms.
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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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