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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 do mathematicians use to prove properties of abstract objects?
What do mathematicians use to prove properties of abstract objects?
- Pure reason (correct)
- Empirical evidence
- Trial and error
- Intuition
What are the entities in modern mathematics stipulated to have?
What are the entities in modern mathematics stipulated to have?
- Physical properties
- Abstract properties
- Certain properties (correct)
- Numerical properties
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
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What is the area of knowledge that includes numbers, formulas, shapes, and quantities?
What is the area of knowledge that includes numbers, formulas, shapes, and quantities?
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