Podcast
Questions and Answers
What is the main purpose of a proof in mathematics?
What is the main purpose of a proof in mathematics?
- To explore the applications of mathematics
- To generate new mathematical objects
- To challenge existing mathematical theories
- To establish the truth of a statement (correct)
Which subdiscipline of mathematics is concerned with the properties of numbers?
Which subdiscipline of mathematics is concerned with the properties of numbers?
- Analysis
- Algebra
- Geometry
- Number theory (correct)
What are axioms in mathematics?
What are axioms in mathematics?
- Previously proved theorems
- Properties of abstract objects
- Entities stipulated to have certain properties (correct)
- Basic properties derived from nature