Podcast
Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Logic, topology, probability, and differential equations
- Number theory, algebra, geometry, and analysis (correct)
- Arithmetic, calculus, trigonometry, and statistics
- Combinatorics, linear algebra, calculus, and set theory
What does most mathematical activity involve?
What does most mathematical activity involve?
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
- Experimental testing and empirical observation
- Intuitive guesswork and trial and error
- Application of statistical methods to real-world problems
What do mathematical objects consist of in modern mathematics?
What do mathematical objects consist of in modern mathematics?
- Empirical data and statistical distributions
- Abstractions from nature or entities stipulated to have certain properties (correct)
- Physical measurements and observable phenomena
- Experimental results and reproducible evidence
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?
Flashcards are hidden until you start studying