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Mathematics Quiz

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Questions and Answers

What are the major subdisciplines of modern mathematics as represented in the text?

Number theory, algebra, geometry, and analysis (correct)

Number theory, calculus, statistics, and topology

Arithmetic, calculus, algebra, and geometry

Calculus, trigonometry, statistics, and topology

What is the primary method used in mathematical activity as described in the text?

Discovery of properties of abstract objects and use of pure reason to prove them (correct)

Empirical observation and experimentation

Reliance on intuition and guesswork

Trial and error with real-world applications

What do mathematical proofs consist of according to the text?

Reliance on assumptions and approximations

A series of experimental trials and observations

A succession of applications of deductive rules to already established results (correct)

Empirical evidence and statistical analysis

What are the objects of mathematical proofs as mentioned in the text?

<p>Abstractions from nature or entities stipulated to have certain properties</p> Signup and view all the answers

What is the nature of mathematical entities in modern mathematics based on the text?

<p>Stipulated to have certain properties, called axioms</p> Signup and view all the answers