10 Questions
What does most mathematical activity involve?
The discovery of properties of abstract objects and the use of pure reason to prove them
What are the major subdisciplines of modern mathematics?
Number theory, algebra, geometry, and analysis
What do mathematical proofs consist of?
A succession of applications of deductive rules to already established results
What are the objects of mathematical proofs in modern mathematics?
Entities that are stipulated to have certain properties, called axioms
What is the nature of most mathematical objects in modern mathematics?
Abstractions from nature or entities stipulated to have certain properties
Which branch of science studies individuals and societies?
Social sciences
Which discipline uses scientific knowledge for practical purposes, such as in engineering and medicine?
Applied sciences
What do the formal sciences study?
Formal systems
Which historical period has the earliest identifiable predecessors to modern science?
Bronze Age
What is the nature of the disagreement regarding formal sciences as science disciplines?
They do not rely on empirical evidence
Test your knowledge of mathematics subdisciplines with this quiz. Explore number theory, algebra, geometry, and analysis as you answer questions related to numbers, formulas, shapes, and quantities. See how well you know the key concepts and structures of modern mathematics.
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