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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?
Which topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis?
- 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?
- Empirical evidence
- Pure reason (correct)
- Experimental data
- Intuition
What do mathematicians use to establish new results in their field?
What do mathematicians use to establish new results in their field?
- Intuitive insights
- Inductive reasoning
- Deductive rules (correct)
- Trial and error
What is a proof in mathematics?
What is a proof in mathematics?
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What is the role of axioms in modern mathematics?
What is the role of axioms in modern mathematics?
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