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Questions and Answers
Which topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively?
Which topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively?
- Numbers and formulas
- Shapes and spaces
- Quantities and changes
- All of the above (correct)
What is the main activity in mathematics?
What is the main activity in mathematics?
- The discovery of properties of abstract objects
- The use of pure reason to prove properties
- The application of deductive rules
- All of the above (correct)
What do mathematical objects consist of?
What do mathematical objects consist of?
- Abstractions from nature
- Entities with certain properties (correct)
- Axioms
- All of the above
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
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Is there a general consensus among mathematicians about a common definition for mathematics?
Is there a general consensus among mathematicians about a common definition for mathematics?
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