Podcast
Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Number theory, algebra, geometry, and analysis (correct)
- Calculus, trigonometry, statistics, and probability
- Logic, differential equations, combinatorics, and topology
- Arithmetic, calculus, topology, and algebra
What does most mathematical activity involve?
What does most mathematical activity involve?
- Observation of natural phenomena and recording of data
- Memorization of formulas and algorithms
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
- Application of statistical methods to solve problems
What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
- Randomly selected objects with undefined properties
- Physical objects and tangible entities
- Objects derived solely from practical applications
- Abstractions from nature or entities stipulated to have certain properties (correct)
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
What are the starting points of a theory in modern mathematics?
What are the starting points of a theory in modern mathematics?
What does English grammar encompass?
What does English grammar encompass?
What form of English does the article describe?
What form of English does the article describe?
What has modern English largely abandoned from Indo-European?
What has modern English largely abandoned from Indo-European?
Which word class retains morphological case more strongly in modern English?
Which word class retains morphological case more strongly in modern English?
Where do divergences from the described grammar occur?
Where do divergences from the described grammar occur?