15 Questions
What are the major subdisciplines of modern mathematics?
Number theory, algebra, geometry, and analysis
What does most mathematical activity involve?
Discovery of properties of abstract objects and use of pure reason to prove them
What do mathematical objects consist of in modern mathematics?
Abstractions from nature or entities stipulated to have certain properties
What does a proof in mathematics consist of?
A succession of applications of deductive rules to already established results
What is considered true starting points of a mathematical theory?
Axioms and basic properties stipulated to have certain properties
What are the major subdisciplines of modern mathematics?
Number theory, algebra, geometry, and analysis
What does most mathematical activity involve?
Discovery of properties of abstract objects and use of pure reason to prove them
What do mathematical proofs consist of?
A succession of applications of deductive rules to already established results
What do mathematical objects consist of in modern mathematics?
Abstractions from nature or stipulated entities with certain properties
What are considered true starting points of a mathematical theory?
Axioms and, in case of abstraction from nature, some basic properties
What are the major subdisciplines of modern mathematics?
Number theory, algebra, geometry, and analysis
What does most mathematical activity involve?
Discovery of properties of abstract objects and use of pure reason to prove them
What do proofs in mathematics consist of?
A succession of applications of deductive rules to already established results
What are the topics included in the area of mathematics?
Numbers, formulas, structures, shapes, spaces, and quantities
What are the entities in modern mathematics stipulated to have?
Certain properties called axioms
Test your knowledge of mathematics with this quiz covering number theory, algebra, geometry, and analysis. Challenge yourself with questions on numbers, formulas, shapes, and quantities, and see how well you know the major subdisciplines of modern mathematics.
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