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Mathematics Quiz

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Questions and Answers

What are the major subdisciplines of modern mathematics?

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

Calculus, statistics, arithmetic, and trigonometry

Differential equations, linear algebra, combinatorics, and chaos theory

Logic, probability, calculus, and topology

What is the primary method used in mathematical activity?

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

Experimentation and observation of real-world phenomena

Application of statistical analysis to solve problems

Intuitive guesswork and trial-and-error

What are the entities in modern mathematics stipulated to have certain properties called?

Hypotheses

Axioms (correct)

Corollaries

Conjectures

What do the results in mathematical proofs include?

<p>Previously proved theorems, axioms, and some basic properties</p> Signup and view all the answers

What do mathematical proofs consist of?

<p>A succession of applications of deductive rules to already established results</p> Signup and view all the answers

Mathematics Quiz

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Questions and Answers

What are the major subdisciplines of modern mathematics?

What is the primary method used in mathematical activity?

What are the entities in modern mathematics stipulated to have certain properties called?

What do the results in mathematical proofs include?

What do mathematical proofs consist of?

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