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Mathematics: Subdisciplines and Topics

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Questions and Answers

What are the major subdisciplines of modern mathematics?

Arithmetic, calculus, trigonometry, and statistics

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

Algebra, calculus, topology, and probability

Geometry, statistics, number theory, and logic

What do most mathematical activities involve?

Guessing the outcomes of mathematical problems

Memorization of formulas and application of algorithms

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

Experimentation with physical objects to derive mathematical principles

In which fields is mathematics essential?

Economics, politics, sociology, anthropology, and environmental science

Art, literature, history, philosophy, and linguistics

Natural sciences, engineering, medicine, finance, computer science, and social sciences (correct)

Geography, anthropology, archaeology, psychology, and theology

What do proofs in mathematics consist of?

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

What are some areas of mathematics developed in close correlation with their applications?

Statistics and game theory Signup and view all the answers

What is the period of events before the invention of writing systems considered?

Prehistory Signup and view all the answers

What sources do historians use to seek knowledge of the past?

Written documents, oral accounts, art and material artifacts, and ecological markers Signup and view all the answers

How does history differ from myth?

History is supported by verifiable evidence, while myth is not Signup and view all the answers

What do historians use to describe, examine, question, and analyze past events?

Narrative Signup and view all the answers

What are stories common to a particular culture but not supported by external sources usually classified as?

Cultural heritage or legends Signup and view all the answers