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Questions and Answers
What is the general consensus among mathematicians about a common definition for their academic discipline?
What is the general consensus among mathematicians about a common definition for their academic discipline?
- There is a general consensus on a common definition
- It is defined by the application of pure reason only
- It is defined by the use of experimental data
- There is no general consensus on a common definition (correct)
Which subdiscipline of mathematics focuses on the properties of abstract objects and the use of pure reason to prove them?
Which subdiscipline of mathematics focuses on the properties of abstract objects and the use of pure reason to prove them?
- Number theory (correct)
- Geometry
- Analysis
- Algebra
What do proofs in mathematics consist of?
What do proofs in mathematics consist of?
- A succession of random observations
- A succession of unverified assumptions
- A succession of applications of deductive rules to already established results (correct)
- A succession of applications of inductive reasoning
Which discipline is independent from any scientific experimentation but essential in various fields including natural sciences, engineering, and finance?
Which discipline is independent from any scientific experimentation but essential in various fields including natural sciences, engineering, and finance?
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In which area of mathematics are some theories developed in close correlation with their applications and often grouped under applied mathematics?
In which area of mathematics are some theories developed in close correlation with their applications and often grouped under applied mathematics?
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