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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?
What do mathematicians use to prove properties of abstract objects?
What do mathematicians use to prove properties of abstract objects?
What are the entities in modern mathematics stipulated to have?
What are the entities in modern mathematics stipulated to have?
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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