Questions and Answers
What are the major subdisciplines of modern mathematics?
Number theory, algebra, geometry, and analysis
What does a proof in mathematics consist of?
A succession of applications of deductive rules to already established results
What does mathematical activity involve?
The discovery of properties of abstract objects and the use of pure reason to prove them
In which academic disciplines is mathematics essential?
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Are the fundamental truths of mathematics dependent on scientific experimentation?
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