Podcast
Questions and Answers
What are the major subdisciplines of modern mathematics?
Number theory, algebra, geometry, and analysis.
What does most mathematical activity involve?
The discovery of properties of abstract objects and the use of pure reason to prove them.
What does a proof in mathematics consist of?
A succession of applications of deductive rules to already established results, including previously proved theorems, axioms, and some basic properties.
In which fields is mathematics essential?
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Are the fundamental truths of mathematics independent from scientific experimentation?
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