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Questions and Answers
Which of the following is true about mathematical proofs?
Which of the following is true about mathematical proofs?
- They consist of a succession of applications of inductive rules to already established results
- They include previously proved theorems, axioms, and some basic properties that are considered true starting points of the theory (correct)
- They involve the use of pure reason to prove properties of concrete objects
- They are based on the discovery of properties of abstract objects
Which of the following is NOT a major subdiscipline of modern mathematics?
Which of the following is NOT a major subdiscipline of modern mathematics?
- Geometry
- Algebra
- Number theory
- Calculus (correct)
What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
- Entities that are stipulated to have certain properties, called axioms, only
- Abstractions from nature only
- Both abstractions from nature and entities that are stipulated to have certain properties, called axioms (correct)
- None of the above
