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Mathematics Quiz

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Questions and Answers

What are the major subdisciplines of modern mathematics?

Logic, differential equations, combinatorics, and graph theory

Arithmetic, calculus, topology, and algebra

Calculus, trigonometry, statistics, and probability

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

What does most mathematical activity involve?

Memorization of numerical values and application of statistical methods

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

Manipulation of physical objects and observation of their behavior

Collection of empirical data and formulation of hypotheses

What do mathematical objects consist of in modern mathematics?

Properties derived from intuitive reasoning

Empirical data collected from experiments

Entities stipulated to have certain properties, called axioms (correct)

Physical objects found in nature

What does a proof in mathematics consist of?

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

What are the starting points of a theory in mathematics?

Axioms and, in case of abstraction from nature, some basic properties considered true Signup and view all the answers

What are the major subdisciplines of modern mathematics?

Number theory, algebra, geometry, and analysis Signup and view all the answers

What does most mathematical activity involve?

Discovery of properties of abstract objects and the use of pure reason to prove them Signup and view all the answers

What do mathematical objects consist of in modern mathematics?

Abstractions from nature or stipulated entities with certain properties Signup and view all the answers

What are the starting points of a theory in mathematics?

Axioms and some basic properties considered true Signup and view all the answers

What does a proof in mathematics consist of?

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

Mathematics Quiz

Choose a study mode

Podcast

Questions and Answers

What are the major subdisciplines of modern mathematics?

What does most mathematical activity involve?

What do mathematical objects consist of in modern mathematics?

What does a proof in mathematics consist of?

What are the starting points of a theory in mathematics?

What are the major subdisciplines of modern mathematics?

What does most mathematical activity involve?

What do mathematical objects consist of in modern mathematics?

What are the starting points of a theory in mathematics?

What does a proof in mathematics consist of?

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