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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, formulas, and related structures
- Shapes and spaces
- Quantities and their changes
- All of the above (correct)
What do mathematicians use to prove properties of abstract objects?
What do mathematicians use to prove properties of abstract objects?
- Pure reason (correct)
- Trial and error
- Intuition and creativity
- Observation and experimentation
What do proofs in mathematics consist of?
What do proofs in mathematics consist of?
- Trial and error
- Experimental results
- Applications of deductive rules (correct)
- Intuitive explanations
What are the objects in modern mathematics?
What are the objects in modern mathematics?
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Is there a general consensus among mathematicians about a common definition for their academic discipline?
Is there a general consensus among mathematicians about a common definition for their academic discipline?
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