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Mathematics: Topics and Subdisciplines Quiz

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Mathematics: Topics and Subdisciplines 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, trigonometry, and topology

Logic, set theory, combinatorics, and abstract algebra

Linear algebra, calculus, probability, and differential equations

What is the primary method of mathematical activity?

Intuitive guesswork and trial-and-error

Experimentation and data collection

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

Relying on expert opinions and authority

What do proofs consist of in mathematics?

A collection of empirical observations and inferences

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

A series of trial-and-error attempts

A set of arbitrary assumptions without logical reasoning

In what areas is mathematics essential?

Natural sciences, engineering, medicine, finance, computer science, and social sciences Signup and view all the answers

What are the fundamental truths of mathematics independent from?

Any scientific experimentation Signup and view all the answers

What is the meaning of the word 'mathematics' in Ancient Greek?

That which is learnt Signup and view all the answers

Who was likely the first to constrain the use of the word 'mathematics' to just the study of arithmetic and geometry?

Pythagoras Signup and view all the answers

What did the term 'mathematics' commonly mean in Latin and English until around 1700?

Study of astrology Signup and view all the answers

Which two main schools of thought in Pythagoreanism were known as?

Astrologers and Mathematicians Signup and view all the answers

What led to a correlated increase in the development of both mathematical innovations and scientific discoveries?

Interaction between mathematical innovations and scientific discoveries Signup and view all the answers