Podcast
Questions and Answers
Which subdiscipline of mathematics is concerned with the properties of abstract objects?
Which subdiscipline of mathematics is concerned with the properties of abstract objects?
- Analysis
- Number theory (correct)
- Algebra
- Geometry
In modern mathematics, which entities are stipulated to have certain properties?
In modern mathematics, which entities are stipulated to have certain properties?
- Geometric shapes
- Abstractions from nature (correct)
- Integers and prime numbers
- Abstract objects
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
- Randomly established results
- Empirical evidence
- A succession of deductive rules (correct)
- Intuitive reasoning
What are the fundamental truths of mathematics independent from?
What are the fundamental truths of mathematics independent from?
Which academic discipline is essential in the natural sciences, engineering, and finance?
Which academic discipline is essential in the natural sciences, engineering, and finance?
Which major subdiscipline of mathematics deals with the study of shapes and the spaces in which they are contained?
Which major subdiscipline of mathematics deals with the study of shapes and the spaces in which they are contained?
Which ancient Greek mathematician is known for introducing the concept of a proof and its associated mathematical rigor?
Which ancient Greek mathematician is known for introducing the concept of a proof and its associated mathematical rigor?
Which mathematical problem, dating back to 300 BC, had no practical application until its use in the RSA cryptosystem?
Which mathematical problem, dating back to 300 BC, had no practical application until its use in the RSA cryptosystem?
What does the word 'mathematics' mean in Ancient Greek?
What does the word 'mathematics' mean in Ancient Greek?
What did the term 'mathematics' commonly mean in Latin and English until around 1700?
What did the term 'mathematics' commonly mean in Latin and English until around 1700?
Which of the following areas of mathematics is often grouped under applied mathematics?
Which of the following areas of mathematics is often grouped under applied mathematics?
Which Pythagorean school of thought was known as the mathēmatikoi?
Which Pythagorean school of thought was known as the mathēmatikoi?
Who likely constrained the use of the word 'mathematics' to just the study of arithmetic and geometry?
Who likely constrained the use of the word 'mathematics' to just the study of arithmetic and geometry?
Which area of mathematics had a foundational crisis at the end of the 19th century, leading to systematization of the axiomatic method?
Which area of mathematics had a foundational crisis at the end of the 19th century, leading to systematization of the axiomatic method?
What did the word 'mathēma (μάθημα)' mean in Ancient Greek?
What did the word 'mathēma (μάθημα)' mean in Ancient Greek?
