Podcast
Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Calculus, statistics, trigonometry, topology
- Number theory, geometry, algebra, analysis (correct)
- Arithmetic, calculus, differential equations, probability
- Algebra, geometry, calculus, topology
What is the primary method used in mathematical activity?
What is the primary method used in mathematical activity?
- Trial and error experimentation with physical objects
- Use of inductive reasoning to make generalizations
- Discovery of properties of abstract objects and use of pure reason to prove them (correct)
- Relying on empirical evidence to draw conclusions
How are proofs constructed in mathematics?
How are proofs constructed in mathematics?
- Succession of applications of deductive rules to already established results (correct)
- Application of trial and error to find the correct result
- Reliance on intuition and guesswork
- Random selection of axioms and theorems
In which fields is mathematics essential?
In which fields is mathematics essential?
Are the fundamental truths of mathematics dependent on scientific experimentation?
Are the fundamental truths of mathematics dependent on scientific experimentation?
What is the term for a definition that lists the objects that a term describes?
What is the term for a definition that lists the objects that a term describes?
In mathematics, what is the purpose of a definition?
In mathematics, what is the purpose of a definition?
What is the term for the word or group of words that is to be defined?
What is the term for the word or group of words that is to be defined?
Which category of definitions conveys the meaning of a term by pointing out examples?
Which category of definitions conveys the meaning of a term by pointing out examples?
What is the basis on which all of modern mathematics is constructed?
What is the basis on which all of modern mathematics is constructed?
What is the term for the word or group of words that is to be defined?
What is the term for the word or group of words that is to be defined?
Which category of definitions conveys the meaning of a term by pointing out examples?
Which category of definitions conveys the meaning of a term by pointing out examples?
What is the term for a definition that lists the objects that a term describes?
What is the term for a definition that lists the objects that a term describes?
In the definition 'An elephant is a large gray animal native to Asia and Africa', what is the definiens?
In the definition 'An elephant is a large gray animal native to Asia and Africa', what is the definiens?
What is the basis on which all of modern mathematics is constructed?
What is the basis on which all of modern mathematics is constructed?
