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What are the major subdisciplines of modern mathematics?
The major subdisciplines of modern mathematics are number theory, algebra, geometry, and analysis.
What does mathematical activity involve?
Mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them.
What does a proof consist of in mathematics?
A proof consists of a succession of applications of deductive rules to already established results, including previously proved theorems, axioms, and some basic properties.
What is the relationship between the fundamental truths of mathematics and scientific experimentation?
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In which fields is mathematics essential?
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What are the major subdisciplines of modern mathematics?
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What does mathematical activity primarily involve?
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What are the essential fields where mathematics is extensively used?
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What are mathematical proofs based on?
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What is the relationship between the fundamental truths of mathematics and scientific experimentation?
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