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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Number theory, algebra, geometry, and physics
- Calculus, algebra, trigonometry, and statistics
- Number theory, algebra, geometry, and analysis (correct)
- Geometry, algebra, calculus, and physics
What does a mathematical proof consist of?
What does a mathematical proof consist of?
- A succession of applications of inductive rules to already established results
- A succession of applications of deductive rules to already established results (correct)
- A series of inductive reasoning steps
- A series of hypothetical scenarios
What are the abstract objects in mathematics?
What are the abstract objects in mathematics?
- Physical objects represented in mathematical form
- Concepts derived from theoretical physics
- Abstractions from nature or entities stipulated to have certain properties (correct)
- Concepts derived from physical observations
What is the starting point of a theory in case of abstraction from nature?
What is the starting point of a theory in case of abstraction from nature?
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Is there a common definition for the academic discipline of mathematics among mathematicians?
Is there a common definition for the academic discipline of mathematics among mathematicians?
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