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Questions and Answers
Which major subdiscipline of mathematics deals with quantities and their changes?
Which major subdiscipline of mathematics deals with quantities and their changes?
- Number theory
- Algebra
- Analysis (correct)
- Geometry
What do most mathematical activities involve?
What do most mathematical activities involve?
- Use of empirical evidence to prove theorems
- Discovery of properties of concrete objects
- Use of pure imagination to prove theorems
- Discovery of properties of abstract objects (correct)
What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
- Concrete objects only
- Entities that are stipulated to have uncertain properties
- Entities that are stipulated to have certain properties (correct)
- Entities derived from empirical observations
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
What is the nature of the general consensus among mathematicians about a common definition for their academic discipline?
What is the nature of the general consensus among mathematicians about a common definition for their academic discipline?
What are the major subdisciplines of modern mathematics mentioned in the text?
What are the major subdisciplines of modern mathematics mentioned in the text?
What is the primary method for proving properties of abstract objects in mathematics?
What is the primary method for proving properties of abstract objects in mathematics?
What do mathematical objects in modern mathematics consist of?
What do mathematical objects in modern mathematics consist of?
What is considered as the starting points of a mathematical theory?
What is considered as the starting points of a mathematical theory?
What does most mathematical activity involve?
What does most mathematical activity involve?
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