Podcast
Questions and Answers
Which major subdiscipline of mathematics is concerned with the study of numbers and their properties?
Which major subdiscipline of mathematics is concerned with the study of numbers and their properties?
- Algebra
- Geometry
- Number theory (correct)
- Analysis
In modern mathematics, what are entities stipulated to have certain properties called?
In modern mathematics, what are entities stipulated to have certain properties called?
- Theorems
- Properties
- Axioms (correct)
- Abstract objects
What type of reasoning is predominantly used in mathematical activity to prove properties of abstract objects?
What type of reasoning is predominantly used in mathematical activity to prove properties of abstract objects?
- Abductive reasoning
- Deductive reasoning (correct)
- Analogical reasoning
- Inductive reasoning
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
Which academic discipline considers the fundamental truths of mathematics to be independent from any scientific experimentation?
Which academic discipline considers the fundamental truths of mathematics to be independent from any scientific experimentation?
What does mathematics extensively contribute to in various fields such as natural sciences, engineering, and finance?
What does mathematics extensively contribute to in various fields such as natural sciences, engineering, and finance?
What does the word 'mathematics' mean in Ancient Greek?
What does the word 'mathematics' mean in Ancient Greek?
Which of the following best describes the Pythagoreans' use of the term 'mathēmatikoi'?
Which of the following best describes the Pythagoreans' use of the term 'mathēmatikoi'?
What significant change in meaning occurred with the term 'mathematics' around 1500 to 1800?
What significant change in meaning occurred with the term 'mathematics' around 1500 to 1800?
What did the foundational crisis of mathematics at the end of the 19th century lead to?
What did the foundational crisis of mathematics at the end of the 19th century lead to?
Which two main fields were primarily divided at the beginning of mathematics?
Which two main fields were primarily divided at the beginning of mathematics?
When did algebra and infinitesimal calculus emerge as new fields in mathematics?
When did algebra and infinitesimal calculus emerge as new fields in mathematics?
What is the significance of Euclid's Elements in the history of mathematics?
What is the significance of Euclid's Elements in the history of mathematics?
'Máthēma' in Ancient Greek means:
'Máthēma' in Ancient Greek means:
'Mathēmatikós' (μαθηματικός) means:
'Mathēmatikós' (μαθηματικός) means:
