10 Questions
What are the major subdisciplines of modern mathematics?
Number theory, algebra, geometry, and analysis
What is the main activity in mathematics?
Discovery of properties of abstract objects using pure reason
What are proofs in mathematics based on?
Succession of applications of deductive rules to established results
In which fields is mathematics essential?
Natural sciences, engineering, medicine, finance, computer science and social sciences
What is the relationship between the fundamental truths of mathematics and scientific experimentation?
The fundamental truths of mathematics are independent from any scientific experimentation
How are sets commonly denoted in mathematical texts?
By capital letters in italic
What is the set with no elements called?
The empty set
How is a set defined using roster notation?
By listing its elements between curly brackets, separated by commas
What is the property called when two sets have precisely the same elements?
Extensionality
What is Zermelo–Fraenkel set theory commonly used for?
Providing rigorous foundations for all branches of mathematics
Test your knowledge of numbers, formulas, shapes, and mathematical structures in this quiz. Explore the major subdisciplines of number theory, algebra, geometry, and analysis.
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